What Is Similarity?

Similar words (adjectives), similarity (noun), similar words (noun): "Like, similarmbling, similar from Latin similis." Indian - European meaning is also displayed in English and means "1" So two similar things look like "one thing" like property. In algebra, the term containing the same power of the included variable is called a similar or similar term, and the dissimilar term is called dissimilarity. In geometry, if two graphics have the same shape, they are considered to be similar, but they are not necessarily the same size. The symbol "~" used to express similarity is from German mathematician Gottfried Wilhelm Leibniz (1646-1716).

Similar shapes have the same shape, but the dimensions may be different. (For example, refer to the page searching for the π characteristic, homosexual conversion, or simply the word "similarity" on the website.)

If m = n, the two terms axm and bxn are similar. You can easily add or delete similar terms according to distribution method. For example, axm + bxm can be simplified to (a + b) x m. "Simplified equations" usually require finding and adding groups of similar terms.

When there is a nonspecific matrix P such as A = P - 1 BP, the two matrices A and B are similar. These matrices naturally have the same eigenvalues ​​and characteristic polynomials.

Since more than one parameter may be similar, only the first parameter is given and the remaining parameters are assumed to be applied as well, to avoid repetition. There are many examples of similar arguments; just use the word "similar" on Google's website. The discussion by similarity is analogous (or even identical)

This makes functional similarity the criterion of especially problematic homology (Abouheif et al., 1997). Since functional similarity is an appropriate relationship of similarity, similarity does not need to have the same ancestor similarity and function as common despite different origins (Ghiselin 2005). In the case of classical analogs, it includes taxonomies without common ancestry of recently displayed structures, such as dolphins and tuna outer body forms (Pabst 2000). Therefore, functional homology seems to be a category error. The structure should not be included in the evaluation of homologous correspondence, and the similarity of functions is usually the result of adapting to the needs of a common environment through natural selection, not a common ancestor.

Based on their decline from a common evolutionary ancestor, the structural or functional similarity of the different source parts is homology. In contrast, similarity is based on the functional similarity of structures that use only similarity. For example, the forelimbs of humans, bats and deer have homology, the form of composition is almost the same as the number of each bone, and represents adaptive modification of the forelimb structure of that common ancestor. On the other hand, birds and insect feathers are just like and both are used for flight, but they do not share the origin of common ancestry.

Homologous structures are similar structures in both organisms as they share a common ancestor. For example, birds, humans, bats, and even whales have similar arm skeleton structures. At first glance, whales do not seem very close to humans, but millions of years ago, there were ancestors all of us involved. The descendants of their ancestors were a little different. I chose different characteristics through evolution. New species were made, and new species evolved from these species. However, the structure of the bone of the arm is beneficial for all species, so it remains in all descendant species. Now, we all look different, but birds, bats, whales and humans keep our skeleton structure of our ancestors.