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Sonic the Hedgehog, [a] trademarked Sonic The Hedgehog, [1] is a blue anthropomorphic hedgehog and the main protagonist of the series. Developed as a replacement for their existing Alex Kidd mascot, as well as Sega's response to Mario, his first appearance was in the arcade game Rad Mobile as a cameo, before making his official debut in Sonic the Hedgehog (1991).
In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.
In mathematics and physics, vector notation is a commonly used notation for representing vectors, [1] [2] which may be Euclidean vectors, or more generally, members of a vector space. For denoting a vector, the common typographic convention is lower case, upright boldface type, as in v .
In the vanilla variational autoencoder, is usually taken to be a finite-dimensional vector of real numbers, and (|) to be a Gaussian distribution. Then p θ ( x ) {\displaystyle p_{\theta }(x)} is a mixture of Gaussian distributions.
Vanilla and pear are a flavor-match made in heaven, and with the added goodness of whole wheat flour, these sweet vanilla pear muffins are great for breakfast or a snack." —Alberta Rose. View Recipe
For a symmetric matrix A, the vector vec(A) contains more information than is strictly necessary, since the matrix is completely determined by the symmetry together with the lower triangular portion, that is, the n(n + 1)/2 entries on and below the main diagonal. For such matrices, the half-vectorization is sometimes more useful than the ...
Every vector a in three dimensions is a linear combination of the standard basis vectors i, j and k.. In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as or ) is the set of vectors, each of whose components are all zero, except one that equals 1. [1]
In a geometric algebra for which the square of any nonzero vector is positive, the inner product of two vectors can be identified with the dot product of standard vector algebra. The exterior product of two vectors can be identified with the signed area enclosed by a parallelogram the sides of which are the vectors.