Mathematics has not only the right thing but the truth as well as the best beauty - beautiful coldness and simplicity like a sculpture A mathematical term defined by a famous mathematician Bertrand Russell defines mathematics as a mere inflexible application of meaningless symbols, but it is more creative and artistic. Like a painter's work, he draws a pattern using his own paintings, but works of mathematicians other than ideas similar to his own ideas and painter's paintings must be beautiful. For the first time, he can create works that can be said to be profound and creative. Mathematics is usually the same as it is defined as research on patterns So all these great mathematicians in the world have in common? Are they born as geniuses or are they aware of the existence of a theorem or other mathematical discovery in the journey of life? There are two schools of ideas that can answer this question. Plato believes that these theorems and concepts are waiting to be revealed in the universe, "realists" have different philosophies; their mathematical concepts and our actual According to ideas from existence, even though any theory is true, the fact that mathematics is the boldness of creativity does not change These famous mathematicians know their creativity and courage right now We will discover the principles of mathematics and encourage studying in books. All these famous mathematicians have played a more important role in our lives than we recognize. Mathematics is used in almost every field, such as physics, even arts and music. What Neumann said about mathematics can not be a better way to explain this subject. He called it a "relationship." Early mathematicians had no tools to use. Many important discoveries, such as the use of "zero" and the invention of symbols, are far behind, but this does not preclude early mathematicians from producing the wonderful work they did. Archimedes, Alexander Hellon, Euclid, Pythagoras and many other great mathematicians were early actuaries and laid the foundations for many mathematical studies later by mathematicians. All of these mathematicians have contributed in some way, whether it is a small influence on society or a big influence. They developed fame in their efforts to develop new mathematical ideas and create useful things in the world. Due to mathematicians' efforts and struggle, the world is working day and night to give new concepts to the world, but these concepts are used not only in the development of mathematics but also in several other fields. These concepts simply do not work. In the field of architecture, physics, chemistry, and even biology, I am working with mathematical theories and formulas. After all, some of the greatest scientific achievements in the world are based on the work of these mathematicians. We have nobody. Only these "famous mathematicians" appreciate and appreciate their great contribution to our lives. A historical mathematician on the American list will help answer "Who is an American mathematician?" And "Who is America's most famous mathematician?" They all have in common, that is, they are all respected as American mathematicians. A list of famous or famous mathematicians from the USA, including living creatures and photographs, such as famous mathematicians born in the United States, popular mathematicians who emigrated to the United States. If you want to know the name of a famous American mathematician, this list is your best resource. These mathematicians are one of the best people in their field and contain information about all the famous American mathematicians. A prominent mathematician: The author of this book explains 60 famous mathematicians born between 1700 and 1910 and provides insight about their outstanding lives and their contribution to mathematics did. This article is chronologically ordered to provide interesting information about mathematicians' life details. At the time, and for centuries, Euclid's wo

A list of famous or famous mathematicians from the USA, including living creatures and photographs, such as famous mathematicians born in the United States, popular mathematicians who emigrated to the United States. If you want to know the name of a famous American mathematician, this list is your best resource. These mathematicians are one of the best people in their field and contain information about all the famous American mathematicians. A historical mathematician on the American list will help answer "Who is an American mathematician?" And "Who is America's most famous mathematician?" They all have in common, that is, they are all respected as American mathematicians. In 1900, German mathematician David Hilbert wrote a list of 23 unresolved issues called "Hilbert problem". This list is well known among mathematicians and at least nine problems have been solved. A new list of seven important issues entitled "The Millennium Award" was published in 2000. One of them, the Riemann hypothesis only repeats the problem with Hilbert. Get a million dollar reward for any of these problems Anyone can do this, so the largest mathematicians should help train their colleagues. Hilbert inspired the development of the mathematics of the 20th century and offered a list of 23 unresolved issues that led. Hilbert was warmly welcomed by his colleagues and students and contributed to the careers of several great mathematicians and physicists, including George Cantor, Hermann Minkowski and John von Noy. Man, Eminot, Alonso Church, Albert Einstein. Doctoral students are Hermann Weil, Richard Coulant, Max Dane, Sadji Takagi, Ernst Zermelo, Wilhelm Ackerman, Chess Champion, Emmanuel Lasker, and many other well-known mathematicians. Albert Einstein was born on 14th March 1879 in Ulm, Württemberg, Germany. He is the son of Hermann and Paulina Einstein. Einstein is one of the greatest scientists I have ever seen in the world and is a mathematician. His most famous accomplishment is his relativity, but he made many other useful contributions. Einstein studied at a public school in Munich and Arau, Switzerland. He studied mathematics and physics at Swiss Institute of Technology in Zurich. He graduated in 1900 and was an examiner of the Swiss patent office in Bern from 1902 to 1909. Einstein became a Swiss citizen in 1905. This year I am very busy with Albert. He published three papers, which made it to him what we know today. The first light proposal can be thought of as a small particle flow. This is part of quantum theory. German physicist Max Planck once suggested that light radiation occurs in an energy package called a quantum.

Knowing famous mathematicians, their wonderful work will help change the field of mathematics and the world we live in today Please enjoy various facts and information on brilliant mathematicians such as Pythagoras, Euclid, Pierre Fayma, Blais Pascal, Leon Hadra, Karl Friedrich Gauss, Allan etc. Turing and others. Read what they do when they do and enjoy the learning of the most famous mathematicians ever. Greek philosopher and mathematician Pythagoras lived around 500 BC and is known for his Pythagorean theorem. It contains three sides of a right triangle. a2 + b2 = c2 Greek mathematician Euclid is often referred to as "father of geometry" because of his revolutionary idea and a powerful textbook "element" written around 300 BC. Archimedes of Syracuse lived around 250 BC, in addition to developing a method to determine the volume of an irregularly shaped object. Italian mathematician Leonardo (aka Fibonacci) in Pisa lived today, the most famous Fibonacci number between 1170 and 1250. Fibonacci introduced a digital sequence to Western Europe after mathematicians in India have previously written their book "Liber Abaci". In the 17th century, Galileo Galilei and Johannes Kepler discovered important discoveries related to planet movements and orbits. German mathematician Gottfried Leibniz lived between 1646 and 1716 and developed important calculus concepts and mathematical symbolic practices. Isaac Newton discovered the laws of physics and summarized many important concepts of infinitesimal calculus Most of the work done by Leibniz and Newton is based on the theory of French philosopher Rene Descartes. In addition to his many contributions to philosophy, Descartes has tremendous impact on mathematics, the creation of analytical geometry, the development of systems that use algebra to describe geometry, contributions to optics, etc. It was. French born Pierre de Fermat is an amateur mathematician known for Fermat's last theorem. Swiss mathematician Leonhard Euler was probably the most influential mathematician of the 18th century and discovered and introduced many contemporary mathematical terms and symbols in graph theory. German mathematician Carl Friedrich Gauss was born in 1777 and made an outstanding contribution in geometry, statistics, number theory, algebra and so on. Bernhard Riemann is an influential German mathematician who contributes to differential geometry and analysis and paves the way for Albert Einstein's general relativity theory. Emmy Noether, born in 1882, was a German mathematician who made an important contribution to abstract algebra and theoretical physics, explained by Einstein as the most important woman in mathematical history. Alan Turing solved the German code (code) in World War II, contributed to mathematical logic, and played a role in the development of algorithms, artificial intelligence and modern computers UK mathematicians and computer science It is a person. Important role A historical mathematician on the American list will help answer "Who is an American mathematician?" And "Who is America's most famous mathematician?" They all have in common, that is, they are all respected as American mathematicians. A list of famous or famous mathematicians from the USA, including living creatures and photographs, such as famous mathematicians born in the United States, popular mathematicians who emigrated to the United States. If you want to know the name of a famous American mathematician, this list is your best resource. These mathematicians are one of the best people in their field and contain information about all the famous American mathematicians. A prominent mathematician: The author of this book explains 60 famous mathematicians born between 1700 and 1910 and provides insight about their outstanding lives and their contribution to mathematics did. This article is chronologically ordered to provide interesting information about mathematicians

Mathematicians are experts in the field of mathematics, people with skilled knowledge. This is science including numbers and their relationships, combinations and operations, data, measurements, quantity, structure, space, generalization. Science is widely used in fields such as finance, engineering, industry, robotics engineering, astronomy, business, information technology. Mathematicians develop mathematical models that can be used not only to analyze data, study patterns, further enhance human knowledge, but also to solve problems in various fields. These scientists work in the field of pure mathematics and applied mathematics. In this pure form of science, researchers work through abstract problems. The only motivation for it is to promote human knowledge and promote the formation of theory. On the other hand, experts working on application forms developed a mathematical model to solve real world problems. However, the two fields are overlapping - the first theoretical research may produce some practical applications, and applied mathematical research sometimes may contribute to its theoretical foundation. They need advanced analysis and skills with excellent reasoning skills. Learn about the life and work of famous mathematicians around the world by browsing this section. A list of famous or famous mathematicians from the USA, including living creatures and photographs, such as famous mathematicians born in the United States, popular mathematicians who emigrated to the United States. If you want to know the name of a famous American mathematician, this list is your best resource. These mathematicians are one of the best people in their field and contain information about all the famous American mathematicians. A historical mathematician on the American list will help answer "Who is an American mathematician?" And "Who is America's most famous mathematician?" They all have in common, that is, they are all respected as American mathematicians. For those unfamiliar with Paul Erds, he is one of the world's most famous collaborators, an excellent mathematician known for working with other mathematicians working with other mathematicians. Other people work together. Individual Erds numbers indicate that you can trace this collaboration map from the very beginning to its own extent. Through it, Erds is associated with a lot of people, but 512 people who directly work has only one Erd, these are the names I think. How many women are there? Euler is probably the most influential mathematician (although some will rank him next to Euclid), he is ranked 77th in the list of the most influential people in the famous history of Michael Heart It is ranked in. . His colleague called him "analytic avatar". Laplace said, "It is known for refusing to be a member of mathematicians, he once said that" Reading Euler: He is the master of all of us. " Many of his symbols and methods are still used today. Euler is the richest mathematician in history and is often regarded as the best algorithmologist ever. (This brief summary will only be addressed by some highlights of Euler's work - ranking # 4 may seem too low for the best mathematicians, but Gauss is hard to understand Euler I succeeded in proving the theorem.

A historical mathematician on the American list will help answer "Who is an American mathematician?" And "Who is America's most famous mathematician?" They all have in common, that is, they are all respected as American mathematicians. A list of famous or famous mathematicians from the USA, including living creatures and photographs, such as famous mathematicians born in the United States, popular mathematicians who emigrated to the United States. If you want to know the name of a famous American mathematician, this list is your best resource. These mathematicians are one of the best people in their field and contain information about all the famous American mathematicians. A prominent mathematician: The author of this book explains 60 famous mathematicians born between 1700 and 1910 and provides insight about their outstanding lives and their contribution to mathematics did. This article is chronologically ordered to provide interesting information about mathematicians' life details. At the time, and for centuries, Euclid's work was called "geometry". It was thought that it was the only possible way to describe space and people's position. In the 19th century, other kinds of geometry were described. Currently Euclid's work is called Euclidean geometry to distinguish it from other methods. Today's geometric textbook is a direct descendant of Euclidean elements written by famous Greek mathematicians. At the same time, Mexican Mayan mathematicians, thousands of miles away, independently developed enough digital systems to predict astronomical events. The development of mathematics in Europe has almost ended in the Middle Ages, but it continues to develop rapidly in China. Liu Hui uses the 192-faced polygon to calculate the five decimal places of pi in pi around the year 263 AD. The first abacus was probably made in China to help civil servants calculate taxes, wages and engineering solutions. In the 13th century, Qin Jiuyi solved quadratic equations and cubic equations using an approximate formula. Until the 17 th century, these solutions were not known in the West.

Mathematics was always an essential part of contemporary war. During the Second World War, mathematicians Alan Turing and John von Neumann were responsible for several technical and scientific developments that led to the victory of the allies. After thinking about their accomplishments in the war, their contribution after the war, and how they were recognized after the war, you see that the contribution of each mathematician is very different from their contribution I guess. Turing has little respect for his decoding techniques which helped to end the war in advance using a programmable machine without violence and von Neumann is respected and respected for ending the war It was. This is the story of Abraham Wold and World War II. Abraham is a mathematician with more data analysis skills than most of us. He cooperated with the American Statistical Research Group during the Second World War. The Statistical Research Group (SRG) is a confidential program that links the collective power of American statisticians to the efforts of war - similar to the Manhattan plan, except that the weapons being developed are equations rather than explosives. This is a problem. You are armored as you do not want your plane to be shot down by enemy fighters. But armor can make the aircraft heavier but more heavy aircraft are difficult to steer and use more fuel. Excess armor of the aircraft is a problem, and the problem is that too few aircraft are equipped. People need to find the right balance between them. This is where the mathematician's role works. They should decide the optimum number / value During the Second World War, researchers at the Naval Analysis Center proposed a data-driven approach to optimize the position of the armor added to the aircraft. They examined the distribution of the bullet holes returned from the mission and the damage to the aircraft and concluded that whatever aircraft suffered the greatest damage it needed the most armor. It is very thorough. However, mathematician Abraham Wald immediately terminated this conclusion. He pointed out that this study looked at only the aircraft that came back from their mission and ignored the airplane that did not come back due to damage. In fact, "lack of bullets", the area without bullets on the plane is the best indicator of armor.

Introduction Kurt Friedrich Gödel was an Austrian and later an American. He is a mathematician, a logicologist, and a philosopher. He has established a modern mathematical era of mathematical logic. He is one of the most important logical scholars in history. Kurt had a great influence on the philosophy and scientific thinking of the 20th century and used logic to understand the foundations of mathematics like Russell, David Hilbert, A. N. Whitehead. Kurt Gödel is an Austrian-American logicologist, mathematician, and philosopher. Together with Aristotle and Frau, he is considered one of the most important logical scholars in history. His most important contribution is our understanding of the limits of mathematics. In 1931, when he was 25 years old, he published two "incompleteness theorems". Godel believes that each nontrivial formal system is incomplete or inconsistent. In this section, we fully demonstrate that mathematical abstraction is the first order natural property and second order nature of force. Applied mathematics and quantification are useful tools to explore reality and to measure relative values ​​through time and space. In 1931, genius mathematician Kurt Godel announced his incompleteness theorem. This has broken the dreams of all mathematicians and philosophers of the past millennium. It basically means that in a self-consistent system of restricted axioms there is always a proposition that can not be proved truthful or false by this logical reasoning. That is, there are always unknown or unresolved problems in the system. It is clearly communicated to us that it is in vain to use a set of axioms and logic that are limited to explain the world. Gödel proves this is impossible Kurt Godel is an Austrian-born mathematician and is considered one of the most amazing brains of the 20th century. His contribution to mathematics and logic is very important. He is best known for his "incompleteness theorem" announced in 1931. Like most intellectual giants in the early twentieth century, there are many cross-references and mutual learning between Gödel and John von Neumann. Neumann lived for 54 years, but the contribution to politics in mathematics, physics, computing, and other irrelevant areas was shocking. He is also a member of the Manhattan Project during the Second World War, which is responsible for the development of US nuclear weapons.

It is hard to believe that civilizations made up of former illiterate nomadic warriors have a major influence on the field of mathematics. However, many scholars believe that Arabs hold many ancient wisdom. After conquering the majority of Eastern Europe and North Africa, the Islamic Abbasid Empire changed from conquering the military to intellectual enlightenment. Florian Cajori talked about this change in the history of mathematics. He said: "The shocking thing is the spectacular parade of the Arab conquest, which makes them relax, because they abandon their past nomadic life, adopt higher civilization, It is that I assumed sovereignty. "(Casio) Al-Khowârizmi (aka Mahomet ibn Moses) is a Persian who worked as a mathematician, astronomer and geographer in the early Golden Age of Islamic science. He introduced a Hindu decimal system in the Islamic world and Europe; invented a temporary quadrant; improved the day .. developed a triangle; and improved Ptolemy's astronomy and geography . Like other influential books, he wrote a book, Al-Jabr, showing simple algebra and geometry. Unlike Diophantus's work, Al-Khowârizmi is the first algebraic text to present a general approach. He is often referred to as "father of algebra." (However, Diophantus uses an excellent "segmentation" sign.) The word algorithm is borrowing the name of Al-Khowârizmi taken from the name of his book. He also created the word password. This has become zero in English (although this is only a Sanskrit word translated into zero words introduced by Aryabhata). Persian mathematicians, astronomers, philosophers and poet, who wrote a paper on mechanics, geography, mineralogy, music and Islamic theology, is one of the most important articles on algebra including the following: The hyperbola crosses the circle to solve the geometric method of the cubic equation, which is responsible for the establishment / success of Mali, was converted to Muslim during his reign (1230-1255 AD), during his reign (the first of Sudan Ruler), many of his people are willing to convert; with Arabic secretary (the first writing system in Sudan) his rule also shows the beginning of the rise of Muslim Islam in Sudan I will For thousands of years, Chinese mathematicians have worked well and have pioneered discovery of various algebra and geometric principles. There is evidence that China's activities have influenced India and the Islamic empire, and thus indirectly affected Europe. In the first 1000 years of the Han Dynasty there was a great Chinese mathematician (proved by ancient Zhou Li Su) but the innovation of the Han people continued for centuries, but "Mathematical art 9 Chapters "textbooks are particularly important. The nine chapters (called Chinese Nine Chapters Su or Qiu Chang Su) seem to have been written in the early Han dynasty (around 165 BC) by Zhang Chang (also known as Zhang Wei).

Simple mathematics is effectively used by people of all walks of life to support decision making. However, in this paper, it is thought that many mathematicians applying for mathematics department of university often do not apply mathematics to specific things. Despite the nominal appeal associated with the application of the studied equations, applied mathematics means something quite different from the actual application of mathematics to solve important problems in other areas. Even "mathematical modeling" is thought to be roughly related to what people care about, but the development of "clean" equations that present strange and ambiguous mathematics when stakeholders apply the problem Is often observed. I can not get these mathematics. . Simple models that directly answer related questions are always better than complex models that are not influential, practical or unrelated, and application design experts are indispensable throughout the modeling process, including research design issues You need to play a role. In order to guarantee the reliability of the model structure, notify the parameter estimate, present the results and communicate Many mathematicians distinguish between "applied mathematics" including mathematical methods and "mathematical applications" in science and engineering. Biologists applying known mathematics using demographic models use it without using applied mathematics, but the questions posed by mathematic biologists stimulate the development of pure mathematics. Mathematicians such as Poincaré and Arnold deny the existence of "applied mathematics" and claim that there is only "application of mathematics". Similarly, non-mathematicians combine applied mathematics and mathematics applications. The use and development of mathematics to solve industrial problems is also known as "industrial mathematics". Mathematicians often distinguish between "applied mathematics" and "mathematical applications" or "applied mathematics" within and outside science and engineering. Some mathematicians also apply this term to mathematics and emphasize separating or splitting traditional applications from new applications that were previously considered purely mathematical. For example, from this point of view, ecologists and geographers applying known mathematics using demographic models do not apply, but they apply to mathematics. Even mathematics like mathematical theory are part of pure mathematics and are currently important in applications such as cryptography, but they are not generally considered to be part of the field of applied mathematics.

Mathematical research paper Since 1980, the use of computers in the classroom has become a major controversy among educators (Golden, 2000). Regular use of calculators in the classroom is becoming common. In some states, students are permitted to use computers with standardized tests as part of their regular course (Dion, 2001). Because we live in such a world of technological change, handheld calculators are much more than they can, and each can be purchased for only $ 4.00. But this low price does not affect many people who think the calculator is not suitable for classroom. Some people say that mathematics is not important, as mathematics is not necessary besides basic mathematics. You can live without using complicated mathematics. They say that you leave more complex mathematics to mathematicians and mathematicians using a calculator if you need it. But this is not true; you need math, you can not live without math, and even more complicated mathematical concepts. God cursed us curiosity and we have learned about things, done, and thoughtful. Mathematics connects music, cuisine, painting and everything. Mathematics is very important I chose to start with happy mathematics, the most happy things. Interesting mathematics is what a person calls "pure mathematics". This is what real mathematicians do and 4 years old children do. Interesting mathematics is what digital poetry is, what music is, or art is visual. I will write some mathematics about the mathematics used later in the game, but now I am writing a game about math - mathematics has no other purpose but pure fun and beauty. Interesting mathematics involves discovering or generating patterns in words, including the discovery or generation of patterns by voice in speech, and as art artists discover or generate patterns in visual space, Including discovery or generation. In this article I will explain the gradation drop with a bit of mathematics. To be honest, GD (Gradient Descent) itself does not include many mathematics (we will explain later). I will replace most of the complexity of basic mathematics with analogy. Some of them are myself, some are from the internet. I am not good at mathematics. However, I am an artist fascinated by topics I have not learned until now. Maybe it is because nature and art imitates mathematics - probably art expression is a creative way for the right brain to understand mathematics in a creative way, a way that creative geeks can understand Use it with. What I hate mathematics is hating the foundation of building nature, architecture, and art. Also seen in music

In my opinion, most of the most famous "computer certifications" are done basically by forcing all cases, like the four color graph theorem. Is there a good example of computer certification that does not use this strategy? What strategies did they adopt? EDIT: I think there is much evidence through the example / counter. Unless you have other reasons, you may not think that these are "interesting". To date, most computer-assisted proofs have been implemented with large proofs exhausted by mathematical theorem. The idea is to use a computer program to perform long calculations and to provide proof that the results of these calculations imply a given theorem. In 1976, the four color theorem was the first major theorem verified using a computer program. In the field of artificial intelligence research, we also use mechanical inference techniques (like heuristic searches) to create smaller, more obvious proofs of the new mathematical theorem from bottom to top I will try. This automatic theorem prove proves many new results and finds new evidence for the known theorem. In addition, using the Interactive Certification Assistant, mathematicians can create human-readable evidence, but still can verify their validity officially. There is controversy between what mathematicians constitute evidence. The four-color theorem is an example of this discussion because its "evidence" depends on detailed computer tests in many cases "can not be verified manually". Many mathematicians believe that certification by computers is effective, but puristists do not. Several computer systems for the proof of automation theorem including THOREM are currently being developed. For the first time in the 20th century people believed that people could think that evidence was verified by leading mathematicians and its validity was confirmed. However, now the computer is used for both the proof theorem and the calculation time for examination by the human or human team, the first proof of the four color theorem is an example of a computer - assisted proof. Some mathematicians are concerned that the possibility of computer program errors and run-time errors in calculations could question the validity of such computer-assisted certificates. In fact, by incorporating redundancy and self-test into the calculation, and by developing multiple independent methods and procedures, we reduce the possibility of errors invalidating computer-assisted proofs. In the case of verification of evidence by human beings, natural languages ​​are included in particular evidence, and if detailed mathematical insight is required, it is not possible to completely eliminate the mistake.

Changing Symbolic Methods - Numerical methods can be used instead to find the roots of equations that can not be solved with mathematical thesis algebra. One way to do that is to change the way the symbol is. By looking at my equation graph, we can find two integers, my root is between it and then using the spreadsheet, I will use the spreadsheet to find the roots at the 5 decimal places You can use the change of the symbol method. 5 x 3 - 7 x + 1 = 0 First, locate the coarse position of the route by drawing a graph of y = 5 x 3 - 7 x + 1 in the signature and looking at the position of the graph and cutting the x axis. Mathematical economics is the application of mathematical methods to express problems in theory and analytical economics. The application method usually refers to a mathematical method or method which is not obvious. Mathematical economics is based on statistics, probability, mathematical programming (and other methods of calculation), operations research, game theory, and mathematical analysis. In this respect, it is similar to another part of financial mathematics, applied mathematics (but different). Applied mathematics focuses on mathematical methods commonly used in science, engineering, business, and industry. Therefore, "applied mathematics" is mathematical science with expert knowledge. The term Applied mathematics also expresses the professional character of mathematicians dealing with practical problems, focusing on practical problems professionally, applied mathematics focuses on the fields of science, engineering and other mathematical practices Focus on formulation, research and use of mathematical models in. Applied mathematics is the application of mathematical methods in various fields such as science, engineering, business, computer science, industry. Therefore, applied mathematics is a combination of mathematical science and expert knowledge. The term "applied mathematics" also represents the occupational characteristics of mathematicians who solve practical problems by developing and studying mathematical models. In the past, practical use promoted the development of mathematical theory, then mathematical theory became the subject of pure mathematical research where studies of abstract concepts were done for them. Therefore, the activities of applied mathematics are closely related to research of pure mathematics.

Centuries ago, the bridge of the ancient city of Königsberg was a famous, almost problematic task. But this is not just a mathematical problem, it is also a story about the well-known Swiss mathematician Leonhard Euler who created research on topology and graph theory by solving this problem. The impact of this problem continued for centuries and helped us to develop some parts of mathematics. I do not have much knowledge about Euler, but one of the most important and influential mathematicians of Archimedes and Newton. The practical aspect of this problem is to remember the seven bridges of Königsberg, which is a mathematical problem we already know well and this is the area we are now familiar with "geometry" It is the foundation that creates. It is graph theory. "Someone" in this scene is William Ron Hamilton, an Irish physicist and mathematician who continued to study mathematicians' research. We create a subset of mathematical problems directly related to it. Travel salesman problem familiar today When studying the problem of the seven bridges of Königsberg in Königsberg, Leonhard Euler believes that the most fundamental characteristics of geometric figures are completely shape-independent, irrespective of their metrological properties It was. Euler calls this new geometry geometry (geometry) branch, but it is now called topology. The topology evolved from geometry, but it became a big independent field. Objects that may be continuously deformed are not distinguished. However, in the case of a hyperbolic knot, the object can maintain some geometric shape. When Leonhard Euler announced his paper "The Seven Bridges of Fort Collins" in 1736, he probably did not believe how much influence it had on his work. Euler's research has influenced many mathematicians and later created a graph theory that is the basis of network theory. At the time, Euler's problem was to design a walk through Königsberg. It is to cross each bridge only once. Needless to say, we are now connected to social networks. All LinkedIn members are trying to develop their own network. However, the problem is "How to effectively build a network". - Of course, simply adding a person's number of connections will not work ... You need to use insights from network theory ... ... ...?

Bletchley Park's staff and work at Bletchley Park is a small place 50 miles from London. Bletchley Park, called codename "X Station", is an evacuation place for MI 6 and Government Code and Code School (Gccs). This position was chosen because it is far from London, and the Germans do not consider it a worthy target. It was established in 1939 and was designed to break the coded German information sent using "Enigma" after the beginning of World War II. When the war of 1939 was announced, Turing immediately worked full time with the government code of Brechlee Park and Cipher School. The work done at Bletchley Park will be subject to the "Official Confidentiality Law", but recently it became publicly known. A great idea of ​​Turing in developing computers to help resolve specifications and break them can have saved more lives in the war. For him, this is also a fun time. - Turing together with other digitalist, WG Welchman, developed Bombe, a machine based on the early works of Polish mathematicians who had been interpreted since the late 1940 's. All information sent by the German Air Force Enigma aircraft. The German navy's Enigma aircraft is even more difficult to break, but this is the issue Turing is enjoying. By the middle of 1941, the statistical method of Turing and captured information brought the German Navy's signal to be deciphered in Blessedley. Early in the Second World War, Turing worked at the headquarters of British code company Bletchley Park. In addition to mathematicians, Bletchley Park recruited linguists and chess champions and attracted talent through a complicated crossword tournament winner held in contact with Daily Telegraph. The mathematical and logical skills of Turing made him a natural cryptographer. Cryptographers write encryption systems, cryptologists study them, but cryptologists like Turing broke them. In 1939, Turing discovered the ENIGMA setting and created a method called "bomb" that allows the Allies to decrypt German encryption. Turing and his colleagues were also able to break the more complex navy ENIGMA system, helping the Allies avoid German U boats during the Atlantic campaign from 1941 to 1943.

Recent articles were highlighted by Volunteer Spirit - Mathematics - Teacher - Companion - GMP Ambassador / Friend, @ mathwithmatthew, Dr. Matthew Beyranevand: Revaluation: Many math teachers are late! . He supports our mathematics teacher to accept the concept of reevaluation. That is the practice I support. I am not here to discuss this practice, but I am here to raise a larger problem altogether. What are the advantages of assigning grades to your child's work? 90-100% = A, 80-89% = The concept of B is completely subjective and full of error. Children can ask any questions in exams you have selected and built, and they can understand and explain mathematics by predicting you are looking for 100% accuracy It is not. Please ask the mathematician. Thanks to social media, you can keep in touch with scientists and mathematicians. I am passionate about answering children 's questions about what children are doing and why I like math (do not do kids' homework). Our favorite mathematicians in social media are Steven Strogatz (multi-author and multi-purpose public communicator), Laura Taalman (aka "mathgrrl", Dr. Taalman is really involved in 3D printing) and John Urschel (aka " ) "Mathematician"; When I was not studying mathematics at the Massachusetts Institute of Technology, he played football for the Baltimore Ravens! American mathematician Dr. Holly Krieger has served as a lecturer at Cambridge University in the UK and is a mathematical research manager, one of the few college girls in Cambridge, and a mathematical researcher at Murray / Edwards University. She talks about the beauty of symmetry on 10th October 2017 at John Adams College in Amsterdam. This is one of the most obvious aesthetic principles of mathematics. I talked to Holly to learn more about the creativity and structure of pure mathematics. I am attracted by certain formalism and logical structures. I thought the level of abstraction was very attractive, but I can really understand it. For a while, you do not know what some mathematics is saying or how it works. So, you understand not only that but you can hardly understand that you do not understand it 5 seconds ago. And I felt it was really alright.

First, the ratio of pi to diameter is pi (Bennet, Burton, & Nelson, 2012). This is almost the same as 14159. In the form of an equation, π = C / d is calculated (Shell, 2013). Pi is also an irrational and transcendental number. This means that it will continue infinitely without repetition or pattern. Also, it can not be accurately expressed as a score, and the decimal point does not end (Shell, 2013). The history of pi is very difficult to understand. No one knows exactly who discovered it; they only know the hypothesis and coincidence. This week will celebrate my favorite day - March 14th is the last Wednesday of Pi day. Pi is the perfect cycle. The familiarity and familiarity with our Pi comes primarily from our understanding of the usefulness of mathematics. Ππ of Pi or Greek letter is a mathematical constant equal to the ratio of circumference to diameter - C / d. It is the essence of each circle, which is approximately equal to 14. (Thus, Pi Day occurred on March 14, March 14, called March 14) Pi can not be completely described as an intersection of decimal notations that never ends, and it will be in permanent repeating mode It is not. This is an unreasonable number, but still other rational numbers are usually used to approximate it, like the score of 22/7. Pi is probably the most famous and interesting mathematical structure in the world. From Babylonia to Egypt, from China to Baghdad, ancient mathematicians vigorously calculated pi to determine the area of ​​the circle. However, female mathematicians tend to be overlooked. However, gender does not define the pursuit of our knowledge. Indeed, in order to give meaning to the world and to ourselves, others insist that humans find patterns, prove theorems, and determine mathematical complexity. Both male and female mathematicians contribute to this process and their contribution should be celebrated with the same enthusiasm. After all, the pursuit of mathematical knowledge is infinite, just like the number of π

"... do not pray, we can not risk God." - Don · Fields When you look at the entire Bible, you can see a consistent theme when there is something to do. . All sorts of men got up to encourage their compatriots, and in each case we saw great love. Love can do a lot of things. In this article I will explain what love has accomplished and three things that can be accomplished. Love can build a temple, love can lay the walls, love can spread the gospel. In order to grasp the first two points firmly, we must see the events that required the reconstruction of the temple and the wall. "The most important issue I have seen is that there is not enough attention and trust in the American biblical motives of settlers and founders." The panel told ABCNews.com. Hodges believes that the teacher will consider proposals for more religious teaching materials and that Marshall, Barton, and the third conservative do not expect to recommend to Washington DC judicial, law and society professors The American university mentioned leads to a comprehensive curriculum change Should I endure Christian ethics? How does the motive, standards, purpose of the Bible influence him? (A) Mathematicians should be moved by God's loyalty that God understands the mathematical truths set for the world (and understands the mathematical properties of God, § 19). , Economics, etc. (b) Mathematicians should find their standards in God's orders, and God says the plan for achieving it is "given." Part of it is that people should understand God's work (Genesis 2: 18-23). (C) Mathematicians should work for the glory of God. Because of the inexplicable nature of God and the ability of God to make people understand mathematics, we should praise the beauty and utility God has found in mathematics (Psalm 145; 148).

Summary of mathematical experiment questions: Mathematics philosophy repeatedly takes into account the state of a priori or ex post mathematical knowledge. At the present time, the development of computer technology and the improvement of the daily work of mathematicians have brought new perspectives to this problem. Computers seem to perform two major functions of mathematics: it performs numerical calculations and proposes a new field of research. Through cooperation with computers, mathematicians can gather various data and facts about the problem of interest. The student's view on mathematics and mathematics courses is of particular interest to researchers. It discusses questions about student experience and how to perceive mathematics education and learning in the classroom of KS 4 mathematics. It is important to think that every student is different and that their cognitive approach to mathematics differs from student to student. Therefore, the acceptance of mathematics varies from student to student. However, there should be acceptance at a general level that reflects the teacher's thoughts and expectations for the curriculum. Summary of mathematical experiment questions: Mathematics philosophy repeatedly takes into account the state of a priori or ex post mathematical knowledge. At the present time, the development of computer technology and the improvement of the daily work of mathematicians have brought new perspectives to this problem. Computers seem to perform two major functions of mathematics: it performs numerical calculations and proposes a new field of research. - "Is there evidence to prove that a new way of thinking about known things creates new facts?" "What is the reason for discovering a new way of thinking about known facts?" The two concepts that discover new things are What is it? The way to discover new facts considering known things are interrelated.

Whether it is beauty or helping to solve the problem of everyday life, I hope that visits to math.com will give you more mathematical love. Mathematics is a tool designed to handle all kinds of abstraction, its function is not limited to this field. When asking mathematicians what they did, you always get the same answer. They think. They are thinking of difficult and unusual problems. They are not thinking about ordinary problems: they just write the answer Richard Rusczyk is the founder of Problem Solving Art (AoPS), an online learning community that supports mathematicians in mathematics curriculum. In the early 1990s, Richard established AoPS as a book series; it has grown into an online community of 300,000 members providing courses, video lessons and adaptive learning systems. AoPS is a preferred trainer for the US Mathematical Olympics. I recently had the opportunity to speak to Richard about AoPS, how it works, and about working hard to extend to new children. Fortunately today's online world provides an inadequately utilized opportunity to informally disseminate mathematical ideas along with advances in video and animation. Perhaps the most important message is that through mathematics, you can reach not only the edge of the sky, the planet, or the universe, but also the constellation of eternal thinking. When meaningful real life and pleasant world is beginning, who wants math game? Connecting the real world with math lessons is easy and meaningful. In the information superhighway, "an online collection of actual mathematical activities, a mathematical activity (including natural disasters) with a specific real life priority, an online data source, a portal for participating in or starting a joint mathematics or science project etc. You can find out that real resources will undoubtedly stimulate the interests of teachers and students The problem with many online mathematical sites is that they present information in ideal ways for students who have natural mathematical talent or who already understand the subject. What they do is to provide an intuitive and realistic interpretation of relevant and understandable mathematical concepts. This is the place where Better Explained shines. Imagine that students are not taught by strict teachers but are learning new concepts from other enthusiastic students who are anxious to share the real reasons for rooting this concept Please give me. Underlying the educational philosophy of Better Explained is that you do not actually understand the concept until the students interpret the concept. Because students can not explain topics through memory equations or facts, they learn how and why different mathematical concepts work in their way.

A housekeeper and a professor are written by Yoko Yoshikawa, a novel published in 2003. This story is about mathematicians who are professors of the story. The professor suffered a brain injury after a tragic car accident, and he was only able to create a memory of only 80 minutes. The professor forgot his previous life, but he only remembered his numbers because he had a passion for mathematics. This story is spoken from the viewpoint of the narrator (house keeper). The narrator takes care of the professor who asked her son to enter the house directly after knowing that he has a ten-year-old son late at night. My longstanding dissatisfaction with so-called literary novels is that most probably create few mathematicians and scientists, as most writers do little know about these two areas. (A pleasant exception: Catherine Chung is a forgotten nation, a butler, a professor of Yoko Ogawa, Guet Symmetries by Jeanette Winterson) Peter Ho Davies praises it as "revelation - hopeless, distorted and painful , But always change it to be realistic. " Yoko Ogawa 's "diving pool" three perfect novels have resulted in a dull and disturbing effect of ghost stories without ghosts. This is a universe composed of the universe that can not be implicitly explained. Teenage girls became crazy about foster brothers, divers, women recorded their sister's pregnancy details in the diary and another woman returned to the university dormitory. A man with feet is running. It is not flashy. Ogawa's words are very accurate (even in Japanese translation) so it seems that every sentence conveys both the meaning of itself and all the black things that can not be judged by words. I want to explore the new type of Japanese literature apart from Mishima. Yoko Yoshikawa is a Japanese female writer who is thoroughly considering the thought of the character. I am currently reading her book Iris Bar, and so far, I feel that you are very strong about these characters. The protagonist of the story is a young girl working at a mother's hotel. This girl is said to be very beautiful and a perfect image of how a young girl should look like. I hate her. She had a strong passion for older men who had severe sexual orientation soon. This book has the theme of sexuality and degeneracy, and incorporates it into the everyday conservative Japanese lifestyle. It is interesting to analyze this from the perspective of feminism and to see how the cultural foundation functions.

Alan Turing was well known in his era; mathematicians, cryptologists, and computer pioneers were just a part of the title on his shoulders. Although he has contributed to many fields, he has been praised for mathematics, computer science, and his work in his cryptology during the Second World War. Alan Turing was born on 23rd June 1912 as a wealthy middle-class family. His parents Julius and Sarat Turing saw it in India, and there was another son, Turing, who spent his childhood. However, in 1950, Alan Turing found for the first time whether the machine can demonstrate human intelligence or equivalent intelligence. Alan Matheson Turing is a pioneer of British scientists, mathematicians, cryptographic analysts, and computer science, and it is also regarded as a feat of his "mystery" during the Second World War. The term "artificial intelligence" was originally built by Dr. John McCarthy at the 1956 Dartmouth conference. Since then, some of the most important introductions and developments in the field of artificial intelligence include natural language processing, robotics engineering, neural networks, logic and symbols. Inference, expert system, use of algorithms, brute force computing, intelligent agents, data mining, search engines, speech recognition, machine learning, deep learning, cognition, big data, and artificial intelligence. It took 50 or 60 years here. This historical drama on Alan Turing's lifetime depicts his work on the decryption of Enigma, an encryption device used in Germany during the Second World War. After the war, Alan Turing was homosexual, so he got convicted for blasphemy. He experienced chemical castration and later committed suicide. Young Alan Turing showed a relationship with his classmate Christopher Molkom at the school. They pass the encoded notes to each other on paper. This information includes "Let's meet in less than two weeks, beloved friends" and "I love you." When young Christopher died of cattle tuberculosis, their friendship is over. Adult Alan Turing calls him a machine that destroyed Enigma "Christopher"

Earthquake: Mathematical Application The earthquake on October 13, 2010 caused a sense on the Norman campus of the University of Oklahoma, allowing students to take classes and sit in the middle of the calculus. An earthquake of magnitude 3 occurred 10 miles southeast of Norman and felt like North and Stillwater. For many students, the seismic activity in Oklahoma State is unknown, so a shock of a few seconds is an undiscriminable earthquake. Indeed, in Oklahoma there are many earthquakes almost every day, but usually it is not as strong as it feels. Applicable mathematics is a sub-field of applied mathematics, but there is no agreement on the exact definition. The term "applicable mathematics" is sometimes used to distinguish traditional applied mathematics developed using physics and many mathematical fields applicable today to real world problems . Mathematicians usually distinguish between "applied mathematics" on the one hand and "mathematical applications" or "applicable mathematics" inside and outside science and engineering on the one hand. Among mathematicians, this term also applies to mathematics, highlighting the separation or division of traditional applications from new applications that were previously considered pure mathematics. For example, from this point of view, ecologists and geographers applying known mathematics using demographic models do not apply, but they apply to mathematics. Applied mathematics is the application of mathematical methods in various fields such as science, engineering, business, computer science, industry. Therefore, applied mathematics is a combination of mathematical science and expert knowledge. The term "applied mathematics" also represents the occupational characteristics of mathematicians who solve practical problems by developing and studying mathematical models. In the past, practical use promoted the development of mathematical theory, then mathematical theory became the subject of pure mathematical research where studies of abstract concepts were done for them. Therefore, the activities of applied mathematics are closely related to research of pure mathematics.

Joseph - Louis Lagrange Joseph - Louis Lagrange was born on 25th January 1736 in Sardinia - Piedmont Turin (now known as Italy). He studied at the Turin Academy, and his favorite subjects are Classical Latin. After reading the work of Halley on optical algebra in 1693, Lagrange became interested in mathematics and astronomy. Unfortunately, Lagrange did not benefit from studying with major mathematicians, so he became self-motivated and self-taught. Then in 1754 he got the opportunity to announce his first mathematical study which is an analogy between the binomial theorem and the continuous derivative of the product function. Joseph-Louis Lagrange (1736 - 1813) His name is French, but Lagrange is an Italian mathematician. Like many great mathematicians in his era, he has contributed to many different fields of mathematics. In particular, he did some initial work with abstract algebra. I will immediately understand Lagrange's theorem, which is one of the most basic results of group theory. Évariste Galois (1811 - 1832) Galois is a very talented young mathematician whose history is one of the most tragic stories in mathematical history. He was twenty years old and was killed in a strange fight. Prior to this, he made a great contribution to abstract algebra. He helped create a group the group we know today, and he used the term "group" for the first time. Perhaps most importantly, he proved that it is impossible to solve a fifth degree polynomial (or any higher degree polynomial) using free radicals by studying the polynomial related substitution group . An important contribution of French mathematician Joseph-Louis Lagrange (1736-1813), French mathematician Pierre Simon de Laplace (1749-1827), and Swiss mathematician Leonhard Euler (1707-1783) I formed the theory of dynamics deeply. . It explains the small difference between Newton 's prediction and the observed orbit of the planet. These interpretations have derived a concept similar to a clockwork that operates according to known physical laws. The era of science and mathematics: Joseph - Louis Lagrange developed the metric method and explained the phase of Jupiter's moon and moon. Benjamin Franklin made his experiments electrically. Joseph Priestly discovered oxygen. Edward Jenner developed a smallpox vaccine. A musician and an astronomer William Herschel found Uranus. The nearest painter Beethoven turned into romanticism was Jean-Baptiste Camille Corot (1796 - 1875). In the beginning of his career, he painted a structured landscape, but as he matured in works like memories of Ville d'Avray and Mortefontaine, he created a kind of ambiguity , Showed a more imaginative style. aura

Euclid is a great Greek mathematician. He knew little about the early life and private life, but he continued to make a big contribution in mathematics field, he was called "father of geometry" and taught mathematics in ancient Egypt during the reign of Ptolemy. From the late nineteenth century to the early twentieth century he wrote "Elements" which is the most influential mathematical work so far and a major textbook from mathematics to mathematics professors. These elements have attracted the attention of Western and world mathematicians for more than 2000 years. Euclid uses the "integrated approach" to create his theorem, definition and axioms. In addition to being the leader of the Alexandria Library, Euclid has created and built various elements of mathematics that are always Euclidean geometry, such as polism, geometry system, infinity, factorization, shape consistency, . Outline. His work has been influenced by Pythagoras, Aristotle, Oudox, Thales. Euclid of Alexandria lived between 365 and 300 BC (roughly). Mathematicians are often referred to as "Euclid", but sometimes called Alexandria's Euclid to avoid confusion with Socrates' green Socrates philosopher Euclid. Euclid of Alexandria is considered a father of geometry. Little is known about the lifetime of Euclid, but he teaches in Alexandria, Egypt. He has been educated at the Plato College in Athens, or he has received education from several Plato students. He is an important historical person because all the rules we use in geometry today are based on Euclid's books, especially "elements". The elements are as follows. Little about the lifetime of Euclid is not known. Euclid was a fairly common name in his era. Euclid advocated the theorem and problem. He showed the solution logically. Since his death, the elements of Euclid are standard geometric texts, which have a history of more than 2000 years. Euclid teaches at the University of Alexandria. Euclid was born in the second half of the 4th century. His cover is the first six books of basic planar geometry. - Introduction Mathematical reasoning becomes more important for so-called language reasoning and plays an important role in the development of our lives and human progress. Fields such as physics, social science, management, computer science and so on. However, computing requires a more specific field of mathematics, ie discrete mathematics. For its application in computer science, discrete mathematics has become widespread.

Introduction to mathematical glossary: ​​In vocabulary, all intentional mathematical terms can be verified in a simple language. In this mathematics, the glossary is based on the requests of teachers and other people who are consulting national courses. . Mathematical terms in this term are always difficult to understand even before falling into Greek symbols. You learned mathematical vocabulary terms on this topic. Glossary of some terms: * absolute value * acute angle * sharp triangle * addition recognition * addition inverse matrix * adjacent angle * A The main story of mathematics, as well as an alphabetical list of mathematical terms, is supplemented by a list of important mathematicians and their accomplishments. You can also search individual mathematicians, theorems, deployment, past period etc using the search tool at the top of each page. In the "Source" section, list some of the resources (including or excluding elements) available for further investigation. If you are using a large number of mathematical or Greek symbols and technical terms in reports or articles, consider defining them with a glossary or term. We sort the list alphabetically, and gather Greek letters and definitions alphabetically in a separate list. In front of the content page, usually the naming is before the report. Vocabulary usually follows after reference. If you use Google Earth terrain images or Google Maps terrain images, please include Google attribute information, including Google images for copyright complaint allegations. If you added the Google logo and attribution text to another location in the image content, you can delete it. This biological vocabulary is a list of basic terms and concepts in biology, definitions of sub-fields and related fields. For more specific definitions of terms related to other glossaries, see the ecology glossary, the plant glossary, the genetic glossary and the seed forming glossary. An autonomous self-replicating unit that can exist as a structural and functional unit of all organisms; functionally independent life units (as in the case of unicellular organisms) or as subunits in parallel with other cells. Perform a specific function. The entire organism (as in the case of multicellular organisms)

Galileo Galileo Galilei's life and work are considered one of the best mathematicians ever. He changed his life through his own knowledge and made many people wonder. However, not all his works were accepted. Galileo asked the church to bring up an unforgettable controversy. Galileo Galilei was born on February 18, 1564 in Pisa, Italy. He is a member of the Nobel family, the son of Vincenzo Galilei, a musician and mathematician. Galileo had a strong interest in mathematics and mechanics since childhood. The Galileo project is a source of information on the life and work of Galileo Galilei (1564-1642). Our goal is to provide Galileo's hypertext information and his time science to audiences of all ages and professionals. What you have read here is the starting point - we will add information and keep updating. We recruit the opinions of our colleagues in the history of science and comment on how we can improve everyone's project, especially how to make this tool more useful in elementary and secondary education. Galileo's life and work Galileo Galilei is considered one of the best mathematicians ever. He changed his life through his own knowledge and made many people wonder. However, not all his works were accepted. Galileo asked the church to bring up an unforgettable controversy. Galileo Galilei was born on February 18, 1564 in Pisa, Italy. He is a member of the Nobel family, the son of Vincenzo Galilei, a musician and mathematician. Galileo, very young, in his way, Italian philosopher Galileo Galilei succeeded in developing many laws that define and explain how things work. He accepted the laws of other people and examined them He faced a family challenge and church troubles, but he told him to prevent doing all he did in his life I did not allow you to accept test conditions. . Galileo is known as the father of contemporary astronomy. Galileo di Vincenzo Bonauto de Galilei

Prime numbers and their properties were first extensively studied by ancient Greek mathematicians. Pythagoras school mathematicians (from 500 BC to 300 BC) were interested in the mysterious and digital nature of numbers. They understand the concept of prime numbers and are interested in perfect and kind numbers. The complete number is the number itself plus the correct divisor. For example, for the number 6 we have the appropriate divisors 1, 2, 3 and 1 + 2 + 3 = 6, 28 and about 1, 2, 4, 7 and 14 and 1 + 2 + 4 + 7 + 14 = There are 28. 361 is not a prime number. On the other hand, 361 is the product of two prime numbers, and is not necessarily different, so it is a half prime number (also called double prime number or 2 approximate prime number). In fact, 361 = 19 x 19, where 19 is a prime number, 361 is a perfect square, 19 is a square root My favorite number is seven, I love 7 more than my aunt. This is a beautiful number, the most important thing is that it is a prime number. I emphasize that I will be prime as I am always fascinated by prime numbers. Because prime is the core of mathematics, mathematics teachers emphasize the number of guiding prime numbers. However, prime numbers are not just pure mathematicians' interests in fact. I use prime numbers when I answer the phone. When buying something at Amazon, prime numbers protect you from thieves. Some animals and fruits like prime are also available. If you continue reading, you will see that many algorithms evolved with number theory for your character, communication security, and communication and compression of information. let's start. We all know that numbers are prime numbers or complex numbers. All composite numbers are composed of prime numbers and can be decomposed (decomposed) into a product of prime numbers (a x b). A prime number is a "component" or "base element" of a number. In 300 BC, Euclid proved that their number is infinite. His sophisticated proof is as follows. - If Q is not a prime number, it is composed, that is composed of prime numbers, 1 p is divided by Q (since all compositing numbers are products of prime numbers). Each prime number p constituting P obviously excludes P. When p is divided by P and Q, it must be divided by the difference of 2. That is, since the prime is not divided by 1, the number p is not included in the list. Another contradiction, your list contains all prime numbers

Carl Friedrich Gauss is the author of this report by Carl Friedrich Gauss. Gauss is a German scientist and mathematician. People call him His founder of modern mathematics. He is also engaged in astronomy and physics. His work on astronomy and physics is as important as mathematics work. Gauss also works in crystallography, optics, biostatistics and manufacturing mechanics. Gauss was born in Brunswick on April 30, 1777. Brunswick is now known as West Germany. - Introduction of Carl Friedrich Gauss (1777-1855): Carl Friedrich Gauss is considered one of the best mathematicians ever. Since he has offered many ideas for mathematics, astronomy and physics, he is the creator of the logical mathematics field. As a student in mathematics education, I touched the works of Gauss many times. He has contributed greatly to various fields of mathematics such as linear algebra, calculus, number theory and so on. Karl Friedrich Gauss Gauss, Karl Friedrich (1777-1855). German scientist and mathematician Gauss is often called the founder of modern mathematics. His work is astronomy, and physics is as important as mathematics. Gauss was born in Brunswick on April 30, 1777 (now West Germany). Many biographers believe that he is receiving good health from his father. Gauss said to himself that he could count before he speaks. - Carl Gauss Carl Gauss is a man known for his great progress in mathematics and physics. He has made a tremendous contribution in fields such as number theory, analysis, differential geometry, geodesy, magnetology, astronomy, optics and so on. The concept he created himself had a great influence on many areas of mathematics and science world. Carl Friedrich Gauss (born in John Friedrich Gauss) is said to have been a great destiny from the time of Braunschweig in Germany in April 1777. Interestingly, Carl's mother, Dorothy Benze, did not know exactly his birthday. It's only 8 days before the holiday. Almost 30 years later, Gauss understood the Easter's date and developed rules to celebrate his birthday on 30th April. - Carl Friedrich Gauss is known as a very important person in the world of mathematicians. The discovery completed while he was alive contributed to many fields of mathematics such as geometry, statistics, number theory, statistics and so on. Gauss is a very good mathematician, that's why he has always been remembered.

Society consists of family members. Strengthen the region and strengthen social construction. Families are the most powerful obstacles to the survival of society. If there is no family, there is no society and we can not maintain a good society. Women, regardless of sisters, wives, mothers, play an extremely important role. Families are the most important unit of social organization. Family unit - men and women living in peace and harmony in harmony - will always be an important social organization or unit of society at all times. This is my opinion on A.K. Ramanu Jin's poem is "Mother, other things." I studied his work in high school literature textbook five years ago. A few years ago, lastly when I last held my grandmother's hand, I kept thinking about that poem. I have to recreate it myself. That's why we gone. When I was 16 when I was in trouble, I first learned about Ramanujin. My parents feel a lot of pressure to get perfect results. Then a letter from India; this is a letter from the widow of Ramanujan. She wrote a letter to my father. My father is one of the 80-digit scientists around the world who gave her her a Ramanujan bronze bast as a gift. That is the first time I learned about Ramanune. My father taught me this mysterious Indian genius. Ramanujan turned out to be a dropout of two universities. I do not need to be a typical direct A - s student in order to gain power and hope from knowledge and to succeed. Srinivasa Ramanujan embodies the term "genius". For mathematicians he is a rich and real story. Ramanu Jin was born and raised in the rural village of India at the end of the nineteenth century and had few opportunities to develop his ingenious mathematics skills. He used the hard shell artifacts he can get. Once, he encountered primitive, outdated textbooks and pulled out a profound mathematical theorem from this simple manuscript - many of them were not known to the best mathematicians of his time. Ramanujan sent his manuscript to England, except for the famous mathematical professor GH Hardy at Trinity College Cambridge. Even Hardy was ready to dismiss Rama Nakin's work until he noticed a considerable depth of what he was reading. Hardy invited Ramanuzin to Cambridge. These two form the most unlikely alliance. His life is shortened by illness, but Ramanujin is safe as a great mathematical legacy.

Ancient Greek astronomy Since the first Egyptian peasant discovered Sirius' annual plays a few days before Nile's annual rise, the ancient civilizations around the Mediterranean have calendar to help guide them through terrestrial activities As I tried to interpret the movement of the sky. After observation gathering over many years, yearly changes in the length of the moon or on the observation date bring about a planting and harvest season, navigational safety or stormy weather, or a flock from the winter to the summer meadow It can be used as an important indicator of the timing. The ancient Greeks made a great contribution to the scientific community, from agriculture to astronomy. The ancient Greeks have great curiosity and have developed many of the ideas we use today for science, mathematics, astronomy and medicine today. Greek science is said to have started in 585 BC. Many cultures have innovative scientific development and scientific and ideological traditions, but Greek science endured the storm of time due to its solid foundation in mathematics, measurement, astronomy and medicine. Greek science began with mathematics, widely studied and taught in ancient Greece. Thales was one of the first mathematicians who discovered five geometric theorems and improved navigation. Archimedes and Pythagoras are considered to be the largest mathematicians in Greece. Archimedes was an early writer about mechanics, when examining the circular area, I found that underwater objects are less heavier than underwater objects. Ancient Greek astronomy Since the first Egyptian peasant discovered Sirius' annual plays a few days before the annual rise of Nile, the ancient civilizations around the Mediterranean have calendar to help guide them through ground activities As I tried to interpret the movement of the sky. - Role of love in ancient Greek medicine People who are worshiped at multiple levels among the many gods and goddesses of ancient Greece are mainly love. This power, playing an important role in many aspects of Greek life, including understanding of your body. Astronomy is one of the oldest natural sciences. The early civilization of the history of Babylonians, Greeks, Indians, Egyptians, Nubianans, Iranians, Chinese people, Maya people, and many ancient American indigenous peoples observed the night sky in an orderly manner. Historically, astronomy has included various fields such as astronomy, astronomy navigation, astronomical observation, calendar production, but now professional astronomy is often considered synonymous with astrophysics.

Along with the emergence and evolution of ancient numerical systems, the number of zeros has continued. For mathematicians who pioneered different digital systems in the past, zero seemed not to be a clear beginning. Depending on the culture there are basically meaningless signs, but usually there is an idea that it will be controversial since the first time the culture number system was created and later. (Textbook) The reason behind adding zeros to the digital system was delayed in most cases because the earliest digital system was additive. Mathematicians have done this for centuries. First add zero to a natural number to get an integer. Next, add irrational numbers such as rational numbers, negative numbers, π, e, and square roots of 2, and write numbers with neither patterns nor end. Each positive real number is precisely the square of two numbers. One of them is strictly positive and the other strictly negative. Zero is only one number and is its own square. Therefore, you can define a square root function that associates a non - negative number with a non - negative number whose square is the original number. In a real system, since the square of all real numbers is not negative, the square root can not take negative numbers. The lack of a true square root of a negative number can be used to extend the real system to a complex number by imagining a virtual unit i which is one of the square roots of -1. Brahmagupta 's Brahmasphuṭasiddhanta is the first book to mention zero as a number, so Brahmagupta is generally considered the first book to propose the zero concept. He gives rules like zero, negative and positive numbers, eg "zero and positive are positive, negative and zero are negative". Brahmasphutasiddhanta is the earliest known text, as Babylonians do, or as Ptolemy does, just treat the number as a number itself, not a placeholder number representing another number. The symbol. Romans

"I like the author's preferences of footnotes.They often emphasize the history, the details of the lives of many mathematicians that appear on these pages.Their comments are fun to what I think is very good Add a special dimension of pleasure At the appropriate level, it has prepared a lot of preparation for the future of future students, and it did a good job. " Advanced mathematics textbooks are exploring important themes of graduate students in pure mathematics and applied mathematics. The topics covered in this textbook cover important areas of other interdisciplinary graduate programs including master's degree, doctoral course, and mathematics. This series provides the latest discovery and application on current topics in mathematical analysis in a wide range of fields. These quantities are more concentrated than is common in standard textbooks and these quantities provide an accessible research frontier for researchers and graduate students. It is useful not only for individual learning but also for graduate school and advanced undergraduate course and research seminar. This series of articles is interested not only by mathematicians but also by scientists in other fields. Applied mathematics focuses on mathematical methods commonly used in science, engineering, business, and industry. Therefore, "applied mathematics" is mathematical science with expert knowledge. Applied mathematics also refers to the professional character of mathematicians who tackle practical problems and as professionals focusing on practical problems, applied mathematics is the development of mathematical models in the fields of science, engineering and other mathematical practices , Focusing on research and use. Traditional division of mathematics is pure mathematics, essential interest research into mathematics, applied mathematics, and mathematics that can be applied directly to real world problems. This division is not necessarily clear, and many subjects have evolved into pure mathematics to find unexpected applications in the future. Recently, there are widely disagreed opinions such as discrete mathematics and computational mathematics. With an ideal classification system, new fields can be added to the organization of prior knowledge, amazing discoveries and unexpected interactions are incorporated into outlines. For example, Langlands is planning to find unexpected connections between areas previously considered irrelevant, at least Galois, Riemannian aspect, and number theory. It is usually difficult to find the right mathematical problem than to find mathematical answers. The following is an extensive explanation of some of the things related to my own research, which is very exciting in today's pure mathematics and is called the principle of impossible intersection. Broadly speaking, the idea is that arithmetic and geometry should not interact in an unexpected way without justifiable reasons. Think about drawing graphics on an airplane. This is a lot of things to do at school. The points on these graphs have two coordinates, usually called x and y. If you draw a random graph (geometric object) on the plane, many points on the graph will not have x and y coordinates. Both are rational numbers (integer scores, arithmetic objects).

Mathematics is one of the basic subjects of elementary school professors and is a necessary condition for the overall academic survival. In order for young learners to understand the future of mathematics, it is necessary to base on the early foundation of high quality, rewarding and accessible mathematics education (NCTM, 2013). An attractive and touching learning environment helps confidence in the ability of children to understand and use mathematics. However, mathematics has proved to be a problem for many students. In the world of technology, it is becoming increasingly important to incorporate technology-based instruction into the classroom. Thinkster Math is ideal for families who want to master powerful conceptual math skills. We are trying to build mathematicians, not numerologists. In order to achieve this we emphasize words and logic problems by covering a wide range of mathematics courses. We will support students of all abilities. Students can fill the gaps in knowledge of their mathematics and / or extend their knowledge of mathematics over grades. We combine a one-to-one whiteboard conversation with digital worksheets and trained math coaches to provide a unique approach to young mathematicians of all levels. I was not good at mathematics. And I always associate powerful math skills with natural abilities that are good at programming. I feel that I have to make more effort to learn the same concept than others (with mathematical natural skills). Because this idea is deeply rooted in my brain, I definitely will not learn how to trace binary search trees and how to solve recursive nightmare like Mergesort mentally. But CS Playground React becomes very simple and will investigate a very specific set of topics. Also, this does not mean the next big thing. Building this app is just a fun way to learn about this. If it becomes a valuable resource for others in the process, it is even better. The fixed idea is when you believe skills are fixed functions. This person is very smart, this person is very ridiculous, this man is good at mathematics, that person is very artistic. The skill to think as a fixed function is helpless. Whether you are born with skills or not, no matter how much effort you are going to work with little or no effort. This way of thinking tends to die in fear of making it clear to others (or admitting yourself) that you are not good at something.

The origin of imaginary imaginary numbers can be traced back to ancient Greeks. But once they thought that all numbers were reasonable. Over the years mathematicians have not accepted the fact that equations may have solutions smaller than zero. These types of numbers are numbers that we call negative numbers today. Unfortunately, centuries of expressions seem to be unable to be solved because of lack of understanding of negative numbers. Therefore, from the newly discovered negative data, mathematicians found imaginary numbers. 3 But this may not be the truth about the imaginary history. After Pythagoras discovers the asymmetry of the unit square diagonal and its sides, it may be more accurate to describe the introduction of an invalid number. On the other hand, imaginary numbers have a more complex history of use, acceptance and interpretation (as explained by Priest 1998). Nonetheless, the above example is useful for explaining conceptual concepts. 4 In some places, Waismann's view seems to introduce Quine / Duhem's general thesis paper. I think it is perfectly compatible with the view of my concept. The imaginary number is a number, and squaring results in a negative number. Basically, the imaginary number is the square root of a negative number, and there is no concrete value. This is not a real number, but it can not be quantized with a digit string. Since imaginary numbers exist and are used in mathematics, it is "real number". Usually it is represented by a symbol, and the imaginary number is represented by the symbol j in the electron (because "current" is indicated). Imaginary numbers are particularly suitable for electricity, especially for alternating current (AC) electronics. AC is a sinusoidal wave that changes positive and negative. It may be very difficult to combine AC currents. Because they may not match the wave properly. Using virtual current and real numbers helps to calculate and avoid electric shock using AC.

Recent articles were highlighted by Volunteer Spirit - Mathematics - Teacher - Companion - GMP Ambassador / Friend, @ mathwithmatthew, Dr. Matthew Beyranevand: Revaluation: Many math teachers are late! . He supports our mathematics teacher to accept the concept of reevaluation. That is the practice I support. I am not here to discuss this practice, but I am here to raise a larger problem altogether. What are the advantages of assigning grades to your child's work? 90-100% = A, 80-89% = The concept of B is completely subjective and full of error. Children can ask any questions in exams you have selected and built, and they can understand and explain mathematics by predicting you are looking for 100% accuracy It does not mean that. Please ask the mathematician. Thanks to social media, you can keep in touch with scientists and mathematicians. I am passionate about answering children 's questions about what children are doing and why I like math (do not do kids' homework). Our favorite mathematicians in social media are Steven Strogatz (multipurpose author and public public communicator), Laura Taalman (aka "mathgrrl", Dr. Taalman is really involved in 3D printing) and John Urschel (aka ")" Mathematician "; When I was not studying mathematics at the Massachusetts Institute of Technology, he played football for the Baltimore Ravens! American mathematician Dr. Holly Krieger has served as a lecturer at Cambridge University in the UK and is a mathematical research manager, one of the few college girls in Cambridge, and a mathematical researcher at Murray / Edwards University. She talks about the beauty of symmetry on 10th October 2017 at John Adams College in Amsterdam. This is one of the most obvious aesthetic principles of mathematics. I talked to Holly to learn more about the creativity and structure of pure mathematics. I am attracted by certain formalism and logical structures. I thought the level of abstraction was very attractive, but I can really understand it. For a while, you do not know what some mathematics is saying or how it works. Then, you understand not only that but you can hardly understand that you do not understand it 5 seconds ago. And I felt it was really alright.

Descartes 'Algebra and Descartes' Soul Comments: Biography of Knowledge and Erroneous Descartes: Emotions, Reasons, and Human Brains Paul Mills --------------------- - ------------------------------------------------------------------- - ------ Stephen Gaukroger, Descartes: Intellectual Biography. Oxford: Oxford University, 1995. 499 pages. Antonio R. Damasio, Descartes' mistake: emotion, reason, and the human brain. New York: Putnam, 1995. 312 pages. Antonio Damascio tells us that Descartes' mistake is his belief in "separation of the abyss between the body and the spirit". "The manuscript is the passion of Descartes to the soul that Elizabeth brought to Elizabeth in the beginning of 1646. It is a map of the soul whether it is a human soul or a human soul Other works of Descartes - geometry and optics Technical paper on methodology, metaphysics - objective and reasoning with a new rational science style Discussion about passion is an explanation of morality as a person, a new person, or someone's sorrow and pleasure, and systematic With the defense of medical advice, he hoped to succeed in putting pressure on Elizabeth, heartily hoping to share the satisfaction feeling he likes with others, a creed. "(Prince and Philosopher, master of passion.Page .. 89) Analytic geometry combining algebra and geometry was developed in the early 17th century by Western mathematicians and French mathematicians and philosophers René Descartes. Mr. Descartes realized that any position on the plane can be described with a pair of numbers called coordinates and immediately realized that geometry can be described using the corresponding algebraic equations. In the algebra course, there is a tendency to call this "graphic". Calculus was then used as the main extension of rectangular coordinate analysis geometry of the century. The simple concept of what Descartes calls the "x-y plane" is said to be the basis for many subsequent technological progress. If we do not analyze the geometry, we may still enter the early industrial era. This is a missing link and we will be able to begin using mathematics fully to understand our material world.

Having multiple mathematicians in your family is not unprecedented. In the history of mathematics there are many fathers, fathers, fathers and daughters. For example, the Italian Riccati family like Theon and Hypatia, Farcas Bolyai (1775-1856) and Janos Bolyai (1802-1860), George David Birkhoff (1884-1944), Garrent Birkhoff, Emil, Michael Artin Elie and Henri Cartan Three-digit scientists were created, but their contribution to mathematics was not the same as that of all Bernoulli octagons. Daniel Bernoulli is the son of John Bernoulli. He was born in Groningen, where his father was the chairman of mathematics there. Since his brothers were Nicholas (II) Bernoulli and his uncle was Jacob Bernoulli, he was born to a family of major mathematicians, but also became an unfortunate competition, a bitter a bitter family. When Daniel was 5 years old, his family returned to his home Basel, when his uncle Jacob Bernoulli died, Daniel's father greeted mathematical president. When Daniel was 5 years old, his brother John (B) Bernoulli was born. All three sons will continue to study mathematics, but this is not a course that John Bernoulli plans for Daniel. Daniel is the son of Johan Bernoulli (one of the early developers of the calculation) and the nephew of Jacob Bernoulli (he is "the first person who discovered probability theory"). He has two brothers, Niklaus and Johann II. W. W. Rouse Ball expresses Daniel Bernoulli as "the youngest Bernoulli ever". He is said to have a bad relationship with his father. When they competed in the first place of science competition at the University of Paris, John was unable to endure the "shame" of Daniel's equality and forbade Daniel from leaving his house. Johann Bernoulli copied some of the important ideas of Daniel's book Hydrodynamica into Hydrodynamica's own book Hydroculica. It has been backtracked in the front. Daniel tried to reconcile, but his father was still resentful until his death. In the 1700s, one of the smartest people in the field of physics, mathematics and medicine was born. Daniel Bernoulli was born on 8th February 1700 as a famous mathematician, John Bernoulli's family. From the beginning, Daniel Bernoulli was surrounded by his father and his brothers, his enemies, Jacob Bernoulli mathematics and talent. But people will think that his father will give him enough support to be a mathematician, but that is not the case. Johann Bernoulli thought that mathematicians are not good luck, so he forced his son to study medicine, but Daniel Bernoulli broke everyone.

Galileo Galilei Galileo Galilei was born in Pisa on February 18, 1564. His father, Vincenzo Galilei, belonged to a family of aristocrats, and received several awards as musicians and mathematicians. At a very young age Galileo showed his ability to learn mathematics and machine type, but his parents wanted to exclude him from research not promising substantial rewards, so he called him a medical professional . But this does not affect Galileo. He was allowed to follow the way he wanted when he was young. Galileo Galilei: A famous Italian scholar, also known as the world's most famous physicist, astronomer, engineer, philosopher and mathematician, Galileo Galilei was born on 15th February 1564. He is a major player of the scientific revolution - the emergence of modern science and the largest astronomer in science history. Marie Sklodowska Curie: Born in Poland from 1867 to 7 November 1934, Marie Curie is the world's first woman who won the Nobel Prize. She is the world's leading French chemist who is in charge of radiation research. Mrs Curie is the only genius in the world and has won the Nobel Prize in two different sciences, physics and chemistry. Galileo Galilei Galileo Galilei is thought to be the central figure of the 17th century scientific revolution. His role in the history of science is very important. He totally changed the way of science and made experiments to try his ideas, he regarded him as the father of experimental science. Galileo was born in Pisa on 15th February 1564 and is the oldest of seven children. His father, Vincenzo Galilei, is a famous composer, singer, and musician. Galileo Galilei Galileo Galilei was born in Pisa on February 18, 1564. His father, Vincenzo Galilei, belonged to a family of aristocrats, and received several awards as musicians and mathematicians. At a very young age Galileo showed his ability to learn mathematics and machine type, but his parents wanted to exclude him from research not promising substantial rewards, so he called him a medical professional . But this does not affect Galileo. - Galileo Galileo Galileo was probably the best astronomer, mathematician, and scientist of his era. Indeed, to this day his research is very important in many scientific progress. Galileo was born on February 15, 1564 in Pisa, Italy. His father, Vincenzo, is a music teacher and musician. After his family moved to Florence, Galilee was sent to the monastery for education.

How to solve it: A new aspect of mathematical method by George Polia (Princeton Science Library) [amazon.com] How to read and proof: Introduction of mathematical thought process by Daniel Solow [amazon.com] Math 6 [verticalpress.com] was translated and modified by Will Harte by Enn R. Nurk and Aksel E. Telgmaa. Geometry of Kiselev by A. P. Kiselev (Author) edited from Russian Alexander Givental / Book I. Planmetry [amazon.com] (Editor) Calculus, volume. 1: univariate calculation by Tom M. Apostol and introduction of linear algebra [amazon.com] Calculus, volume. 2: Multivariate calculation and linear algebra and its application [amazon.com] Tom M. Apostol Thanks for your cooperation. I am looking forward to seeing this content, I like books that really focus on understanding. One of the most important ideas that my math teaching helped me develop is flexibility. As long as they face the challenge, this is a state of mind, they can provide good service for themselves. I will meet with students who believe that mathematical problems can not be resolved immediately or if they can not be tested for the first time, I think they can not solve them at all. This is the handcuffs attitude, I am trying to help change. Completing problem setting after setting problems at university helped to build all the functions of problem solving strategy. In many cases, I have to think about using it out of the box without being afraid to try non-traditional methods. I discovered that many of these strategies and mental habits can also be applied to non-mathematical problems. A mathematical message is that when we "cooperate" to build a way of thinking of growth, it will be less about mathematics and more about learning together. From that point, I learned a simple mathematical concept that can lead to higher academic mathematical concepts. More importantly, we set a road to recognize that there are no large gaps like "mathematicians" for students at all levels of education. Not all of us are using or practicing mathematics of the same kind happens. But we are all mathematicians. Promoting and modeling information on this mathematical mindset suggests that more young scholars inspired to pursue higher than "by finding ways to solve engineering, science, or specific world problems" It will inevitably exist. Mathematics "Academic level It starts and ends with" us ".

Srinivasa Ramanujan (born December 22, 1887, India, Erode, 26 April 1920, Kumbakonam), Indian mathematician, his theory to digital theory, including breakthrough discoveries about the nature of the distribution function Contribution When he was fifteen he summarized the summary of pure mathematics and applied mathematics results by George Shawbridge in two volumes. (1880-1886) Many of them provide the most concise evidence, and this collection of thousands of theorems without new materials since 1860 caused his genius. After verifying the results of Carr's book, Ramanujan passed that and developed his own theorem and idea. In 1903, he received a scholarship from the University of Madras, but he ignored all other studies pursuing mathematics, so he lost it in the second year. Ramanujin continues to work, has no jobs, and lives in the poorest environment. After marriage in 1909, he began searching for permanent employment opportunities and reached a climax in an interview with government official Ramachandra Rao. Ramanujan's mathematical strength gave a deep impression to Rao who was supporting his research in the past, but Ramanujan who did not want to exist in charity organizations was clerical in the Madras Port Trust I won the position. In 1911, Ramanu Jin published his first paper to Indian Mathematical Society magazine. His genius gained recognition slowly and in 1913 he communicated with the English mathematician Godfrey H. Hardy and received a special scholarship from Madras University and a subsidy from the University of Cambridge Trinity College. Ramanujin overcame his religious objections and traveled to England in 1914 when Hardy made him a tutor and worked with him in several studies. The mathematical knowledge of Ramanujan (the majority of the data he designed for him) is amazing. He is almost completely unaware of modern development of mathematics, but his mastery of continuous score does not match any living mathematician. He studied the Riemann series, the elliptic integral, the hypergeometric series, the functional equation of the zeta function, and his own divergent series theory. On the other hand, he does not know anything about double periodic function, classical theory of quadratic form, or Cauchy 's theorem and has only the most ambiguous concepts about the composition of mathematical proofs. Very exciting, but many of his theorems on prime number are wrong. In the UK, Ramanujan, in particular numerical division (the number of ways in which positive integers can be expressed as the sum of positive integers, for example 4 can be expressed as 4, 3 + 1, 2 + 2, 2 + 1 You can make it even more). + 1, 1 + 1 + 1 + 1). His paper was published in English and European journals and was elected to the Royal Society of London in 1918. In 1917, Ramanujan infected tuberculosis, but his condition improved further, and he returned to India in 1919. He died in the second year and is generally unknown to the world, but from Leonhard Euler (without accompanying person from 1707) -83) and Karl Jacoby (1804-51), a very excellent genius It is considered by mathematicians to be. Ramanujan left three notes and one page (also called "lost note"). It contained a lot of unpublished results, and mathematicians did not validate for a long time after his death. Srinivasa Ramanujan embodies the term "genius". For mathematicians he is a rich and real story. Ramanujin grew up in rural India at the end of the 19th century and had few opportunities to hone his ingenious mathematical skills. He used the hard shell artifacts he can get. Once, he encountered primitive and obsolete textbooks and drew profound mathematical theorems from this simple manuscript - many of them were not known to the best mathematicians of the time. Ramanujan sent his manuscript to England, and everyone rejected them except for the famous mathematical professor GH Hardy at the Trinity College in Cambridge. Even Hardy was ready to launch Rama Nakin's

In the First World War, the decrypted code became important for the first time, and the organization and work of people in Bradchley Park is very important as the message became more technical and hostile. Sexual forces can capture information from enemies earlier and more easily. As the British government wanted to be able to decipher all enemy communications, they decided to build a base to accommodate all the secret weapons in the UK. When the war of 1939 was announced, Turing immediately worked full time with the government code of Brechlee Park and Cipher School. The work done at Bletchley Park will be subject to the "Official Confidentiality Law", but recently it became publicly known. A great idea of ​​Turing in developing computers to help resolve specifications and break them can have saved more lives in the war. For him, this is also a fun time. - Turing together with other digitalist, WG Welchman, developed Bombe, a machine based on the early works of Polish mathematicians who had been interpreted since the late 1940 's. All information sent by the German Air Force Enigma aircraft. The German navy's Enigma aircraft is even more difficult to break, but this is the issue Turing is enjoying. By the middle of 1941, the statistical method of Turing and captured information brought the German Navy's signal to be deciphered in Blessedley. Early in the Second World War, Turing worked at the headquarters of British code company Bletchley Park. In addition to mathematicians, Bletchley Park recruited linguists and chess champions and attracted talent through a complicated crossword tournament winner held in contact with Daily Telegraph. The mathematical and logical skills of Turing made him a natural cryptographer. Cryptographers write encryption systems, cryptologists study them, but cryptologists like Turing broke them. In 1939, Turing discovered the ENIGMA setting and created a method called "bomb" that allows the Allies to decrypt German encryption. Turing and his colleagues were also able to break the more complex navy ENIGMA system, helping the Allies avoid German U boats during the Atlantic campaign from 1941 to 1943.