Similarity by Faiyaz

homogeneousity by Faiyaz IX C roll no.41 St. josephs public school. akin (adjective), resemblance (noun), similitude (noun): from Latin similis like, resembling, equal. The Indo-European root sem-, which appears also in native English said(prenominal), meant integrity, so two similar things look as if they re one and the resembling in respect to a certain property. In algebra, the consideration that contain the same powers of the variables involved be said to be like or similar terms; terms that ar not similar are called dissimilar. In geometry, two figures are said to be similar if they have (one and) the same shape, though not necessarily the same size. The symbol ~ that we use to blossom law of simile is due to the German mathematician Gottfried Wilhelm Leibniz (1646-1716). So, in mathematics, the word similarity whitethorn be encountered in several d isagreeent contexts: 1.In geometry, similar figures have the same shape but whitethorn differ in size. (See, for example, pages on nature of ?, homothety transformation, or only when google the set for word similarity.) 2.In algebra, polynomials or comparisons may have similar terms. devil terms axm and bxn are similar if m = n.

Similar terms are easily added or subtracted based on the distributive law. For example, the sum axm + bxm could be change to (a + b)xm. To simplify an equation much requires finding and adding groups of similar terms. 3.Matrices with the same eigenvalues are often called similar. Two matrices A and B are similar when in that respect is a non-sing! ular matrix P such that A = P-1BP. much(prenominal) matrices have the same eigenvalues and the characteristic polynomial, naturally. 4.Two or more affirmations may be similar so that only the first one is given and the rest, to avoid repetition, are said to apply besides. on that point are numerous examples of the argument by similarity; ripe google the site for word similarly. To argue by similarity is similar (or even the...If you trust to get a copious essay, order it on our website: BestEssayCheap.com

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