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1 dzień temu · Definition. Consider a matrix A and a nonzero vector .If applying A to (denoted by ) simply scales by a factor of λ, where λ is a scalar, then is an eigenvector of A, and λ is the corresponding eigenvalue. This relationship can be expressed as: =. There is a direct correspondence between n-by-n square matrices and linear transformations from an n-dimensional vector space into itself, given ...
7 godz. temu · In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows defining distances and angles there. More precisely, a metric tensor at a point p of M is a bilinear form defined on the tangent space at p (that is ...
1 dzień temu · Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ⓘ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science. He was director of the Göttingen Observatory and professor of astronomy from 1807 until his death in 1855.
1 dzień temu · v. t. e. Game theory is the study of mathematical models of strategic interactions. [1] It has applications in many fields of social science, used extensively in economics as well as in logic, systems science and computer science. [2] Initially game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...
