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Dot product

In mathematics, the dot product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry, the scalar product of two vectors is the dot product of their Cartesian coordinates, and is independent from the choice of a particular Cartesian coordinate system.…

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Definition

Properties

Triple product

Physics

Generalizations

Computation

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Dot product

Nodes112
Edges111
Triples89
Avg. degree1.98
Density0.017857
Components1

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Dot product

Top relations

related to Libraries · 15
Dot product → BLAS, BMatlab, Bor, CDOTC, DDOT, GNU Octave, Julia, LinearAlgebra, Math Kernel Library, MatlabIntel, NumPy, Python, YFortran, ZDOTC, ZDOTU
related to Complex vectors · 8
Dot product → For, However, In, Properties, Re, The, This, When
related to External links · 7
Dot product → Bruce Torrence, EMS Press, Encyclopedia, Explanation, Inner, Mathematics, Wolfram Demonstrations Project
related to Geometric definition · 7
Dot product → At, Euclidean, In, In Euclidean, Its, The, This
related to Dyadics and matrices · 6
Dot product → And, Dyadics, Frobenius, It, Product, Writing
related to Physics · 6
Dot product → Alternatively, For, In, It, The, Thus
related to Definition · 5
Dot product → Cartesian, Euclidean, In, So, The
related to Triple product · 5
Dot product → Cartesian, It, Its, The, There
is a · 4
Dot product → algebraic operation that takes two equal-length sequences of numbers, bilinear form, part of the equivalence of the classical and the modern formulations of Euclidean geometry.Coordinate definitionThe dot product of two vectors a, sum of the products of the corresponding entries of the two sequences of numbers
related to Algorithms · 3
Dot product → Kahan, The, To

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Important terminology

product vectors displaystyle dot mathbf vector scalar cdot two angle defined right inner complex left euclidean used sum definition also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Dot productis aalgebraic operation that takes two equal-length sequences of numbers0.90text
Dot productis asum of the products of the corresponding entries of the two sequences of numbers0.90text
Dot productis apart of the equivalence of the classical and the modern formulations of Euclidean geometry.Coordinate definitionThe dot product of two vectors a0.90text
Dot productis abilinear form0.90text
the positive-definite norm can be salvaged at the cost of giving up the symmetricinstance ofProperties0.80text
bilinear properties of the dot productinstance ofProperties0.80text
through the alternative definition ainstance ofProperties0.80text
the Kahan summation algorithm are used.LibrariesA dot product function is included ininstance ofapproaches0.80text
the Kahan summation algorithm are usedinstance ofapproaches0.80text
Dot productrelated to AlgorithmsThe0.60section
Dot productrelated to AlgorithmsTo0.60section
Dot productrelated to AlgorithmsKahan0.60section

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