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Summation

In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.

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Overview

Notation

Formal definition

Measure theory notation

Calculus of finite differences

Approximation by definite integrals

Identities

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Bibliography

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Map overview Semantic statistics

Summation

Nodes99
Edges98
Triples41
Avg. degree1.98
Density0.020202
Components1

How this topic connects Entity context

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Summation

Top relations

related to history · 13
Summation → Euler, Fourier, Gottfried Wilhelm Leibniz, Henry Oldenburg, In, Jacobi, Johann Bernoulli, Lagrange, Latin, Leonhard Euler's Institutiones, Other, S-shape, The
related to Capital-sigma notation · 12
Summation → Alternatively, For, Generalizations, Greek, Here, However, In, Mathematical, Similarly, The, There, This
related to Binomial coefficients and factorials · 3
Summation → Concrete Mathematics, Some, There
related to External links · 3
Summation → Media, Wikimedia Commons, Wiktionary-logo-en-v2
related to Special cases · 3
Summation → If, It, This
see also · 2
Summation → Capital-pi, Unicode
is a · 1
Summation → addition of a sequence of numbers
related to Identities · 1
Summation → The
related to Summation index in exponents · 1
Summation → In

Important terminology Word statistics

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Important terminology

sum notation textstyle sigma example displaystyle denoted numbers sequence defined index function one may summations result series symbol following summands

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Summationis aaddition of a sequence of numbers0.90text
Lagrangeinstance ofThe usage of sigma notation was later attested by mathematicians0.80text
who denotedinstance ofThe usage of sigma notation was later attested by mathematicians0.80text
Summationrelated to Binomial coefficients and factorialsThere0.60section
Summationrelated to Binomial coefficients and factorialsConcrete Mathematics0.60section
Summationrelated to Binomial coefficients and factorialsSome0.60section
Summationrelated to Capital-sigma notationMathematical0.60section
Summationrelated to Capital-sigma notationGreek0.60section
Summationrelated to Capital-sigma notationThis0.60section
Summationrelated to Capital-sigma notationThe0.60section
Summationrelated to Capital-sigma notationHowever0.60section
Summationrelated to Capital-sigma notationThere0.60section

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