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The description of similarities and differences found between the two things is also called a comparison. Comparison can take many distinct forms, varying by field: To compare is to bring two or more things together (physically or in contemplation) and to examine them systematically, identifying similarities and differences among them.
Any two equilateral triangles are similar. Two triangles, both similar to a third triangle, are similar to each other (transitivity of similarity of triangles). Corresponding altitudes of similar triangles have the same ratio as the corresponding sides. Two right triangles are similar if the hypotenuse and one other side have lengths in the ...
Similarity (geometry), the property of sharing the same shape; Matrix similarity, a relation between matrices; Similarity measure, a function that quantifies the similarity of two objects Cosine similarity, which uses the angle between vectors; String metric, also called string similarity; Semantic similarity, in computational linguistics
The two things compared in a figurative analogy are not obviously comparable in most respects. [2] Metaphors and similes are two types of figurative analogies. In the course of analogical reasoning , figurative analogies become weak if the disanalogies of the entities being compared are relevant—in the same way that literal analogies become weak.
However, commonalities and differences are not psychologically independent. In fact, determining the differences between a pair requires finding the commonalities. Consider the comparison between a car and a motorcycle. Both have wheels. That is a commonality. However, cars have four wheels, while motorcycles have two wheels. That is a difference.
Analogy is a comparison or correspondence between two things (or two groups of things) because of a third element that they are considered to share. [1]In logic, it is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction.
Semantic similarity is a metric defined over a set of documents or terms, where the idea of distance between items is based on the likeness of their meaning or semantic content [citation needed] as opposed to lexicographical similarity. These are mathematical tools used to estimate the strength of the semantic relationship between units of ...
the relevance (positive or negative) of the known similarities to the similarity inferred in the conclusion, [2] [3] the degree of relevant similarity (or difference) between the two objects, [2] and the amount and variety of instances that form the basis of the analogy. [2]