Importance of Mathematicians During World War II

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.