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Similarity (psychology), Similarity
Similarity may refer to: In mathematics and computing * 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 In linguistics * Lexical similarity * Semantic similarity In signal processing Similarity between two different signals is also important in the field of signal processing. Below are some common methods for calculating similarity. For instance, let's consider two signals represented as x[m, n] and y[m, n], where m = 0, 1, 2, ..., M-1 and n = 0, 1, 2, ..., N-1. Maximum error (ME) :Measuring the maximum magnitude of the difference between two signals. Maximum error is useful for assessing the worst-case scenario of prediction accuracy ME= \max(\left, y[m,n]-x[m,n] \) Mean squa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Similarity (geometry)
In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (geometry), scaling (enlarging or reducing), possibly with additional translation (geometry), translation, rotation (mathematics), rotation and reflection (mathematics), reflection. This means that either object can be rescaled, repositioned, and reflected, so as to coincide precisely with the other object. If two objects are similar, each is congruence (geometry), congruent to the result of a particular uniform scaling of the other. For example, all circles are similar to each other, all squares are similar to each other, and all equilateral triangles are similar to each other. On the other hand, ellipses are not all similar to each other, rectangles are not all similar to each other, and isosceles triangles are not all similar to each other. If two angles of a triangle h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
