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3 hours ago · A metric tensor at p is a function gp(Xp, Yp) which takes as inputs a pair of tangent vectors Xp and Yp at p, and produces as an output a real number ( scalar ), so that the following conditions are satisfied: gp is bilinear. A function of two vector arguments is bilinear if it is linear separately in each argument.
1 day ago · The eigenvalue and eigenvector problem can also be defined for row vectors that left multiply matrix . In this formulation, the defining equation is. where is a scalar and is a matrix. Any row vector satisfying this equation is called a left eigenvector of and is its associated eigenvalue.
3 hours ago · A tangent plane of the sphere with two vectors in it. A Riemannian metric allows one to take the inner product of these vectors. Let be a smooth manifold. For each point , there is an associated vector space called the tangent space of at . Vectors in are thought of as the vectors tangent to at .
1 day ago · e. In mathematics, a series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity. [1] The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures (such as in ...
1 day ago · t. e. Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator. and of the integration operator [Note 1] and developing a calculus for such operators generalizing the classical one.
1 day ago · t. e. A computer program is a sequence or set [a] of instructions in a programming language for a computer to execute. It is one component of software, which also includes documentation and other intangible components. [1] A computer program in its human-readable form is called source code.
3 hours ago · R Tips. ・お題：2つの数字を足し算する関数がある。. これをもとに、3つ以上の数字を足し算する関数を作りたい。. ・足し算関数を定義する。. func_add <- function (a, b) { return (a + b) } # 試してみる. func_add (3, 4) [1] 7. ・これを3つ以上の引数に対して適用できるよう ...
