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"Unity in diversity" was selected by means of a competition involving students from member nations. [4] According to the European Union official website: [ 18 ] It signifies how Europeans have come together, in the form of the EU , to work for peace and prosperity, while at the same time being enriched by the continent's many different cultures ...
This means that one may use Jordan forms that only exist over a larger field to determine whether the given matrices are similar. In the definition of similarity, if the matrix P can be chosen to be a permutation matrix then A and B are permutation-similar; if P can be chosen to be a unitary matrix then A and B are unitarily equivalent.
Hutton's Unconformity at Jedburgh. Above: John Clerk of Eldin's 1787 illustration. Below: 2003 photograph. Uniformitarianism, also known as the Doctrine of Uniformity or the Uniformitarian Principle, [1] is the assumption that the same natural laws and processes that operate in our present-day scientific observations have always operated in the universe in the past and apply everywhere 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
They relate to the validity of the often convenient assumption that the statistical properties of any one part of an overall dataset are the same as any other part. In meta-analysis, which combines the data from several studies, homogeneity measures the differences or similarities between the several studies (see also Study heterogeneity).
Propinquity also explains the relationship between liking and activities, those with similar interests tend to put themselves into similar types of settings increasing their chances of interaction. [ 3 ] [ 5 ] [ 8 ] As frequency of interaction between 2 or more people increases, the degree of perceived similarity and liking for one another ...
A similar concept is homogeneity. Isotropic quadratic form A quadratic form q is said to be isotropic if there is a non-zero vector v such that q(v) = 0; such a v is an isotropic vector or null vector. In complex geometry, a line through the origin in the direction of an isotropic vector is an isotropic line. Isotropic coordinates
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
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