summation rule
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Summation by parts — In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. The summation by parts formula is sometimes called… … Wikipedia
Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… … Wikipedia
Ramanujan summation — is a technique invented by the mathematician Srinivasa Ramanujan for assigning a sum to infinite divergent series. Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties which make it… … Wikipedia
Delta rule — The delta rule is a gradient descent learning rule for updating the weights of the artificial neurons in a single layer perceptron. It is a special case of the more general backpropagation algorithm. For a neuron with activation function the… … Wikipedia
Trapezium rule — In mathematics, the trapezium rule (the British term) or trapezoidal rule (the American term) is a way to approximately calculate the definite integral: int {a}^{b} f(x),dx. The trapezium rule works by approximating the region under the graph of… … Wikipedia
Lerche–Newberger sum rule — The Lerche–Newberger, or Newberger, sum rule, discovered by B. S. Newberger in 1982,[1][2][3] finds the sum of certain infinite series involving Bessel functions Jα of the first kind. It states that if μ is any non integer complex… … Wikipedia
Hess's law of heat summation — ▪ chemistry rule first enunciated by Germain Henri Hess (Hess, Germain Henri), a Swiss born Russian chemist, in 1840, stating that the heat absorbed or evolved in any chemical reaction is a fixed quantity and is independent of the path of… … Universalium
Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia
biblical literature — Introduction four bodies of written works: the Old Testament writings according to the Hebrew canon; intertestamental works, including the Old Testament Apocrypha; the New Testament writings; and the New Testament Apocrypha. The Old… … Universalium
List of real analysis topics — This is a list of articles that are considered real analysis topics. Contents 1 General topics 1.1 Limits 1.2 Sequences and Series 1.2.1 Summation Methods … Wikipedia
Einstein notation — In mathematics, especially in applications of linear algebra to physics, the Einstein notation or Einstein summation convention is a notational convention useful when dealing with coordinate formulas. It was introduced by Albert Einstein in 1916 … Wikipedia
