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Divided differences

In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions.[citation needed] Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation.

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Divided differences

Nodes40
Edges39
Triples57
Avg. degree1.95
Density0.05
Components1

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Divided differences

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related to References · 24
Divided differences → Allen, American Mathematical Soc, Appendix, Applied Science, Chapter, Curves, Difference Triangles, Dynamic Programming Approach, Eli, Finite Differences, Geometric Modeling, Isaacson, ISBN, John Wiley, Louis Melville Milne-Thomson, Morgan Kaufmann, Myron, Newton Interpolation, Numerical Analysis, Pyramid Algorithms
related to Polynomials and power series · 9
Divided differences → Consequently, If, Let, Now, Opitz, Taylor, The, This, You
related to Properties · 7
Divided differences → Divided, If, Leibniz, Linearity, Mean, Newton, Polynomial
related to Forward and backward differences · 5
Divided differences → Delta, Given, They, Thus, When
related to Peano form · 5
Divided differences → B-spline, Giuseppe Peano, If, Peano, This
related to Definition · 2
Divided differences → Given, To
related to Example · 2
Divided differences → Divided, Thus
see also · 2
Divided differences → Difference, Rice
is a · 1
Divided differences → algorithm

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Important terminology

displaystyle differences divided ldots frac difference matrix dots function delta begin end sum data points form cdot polynomial xi given

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SubjectPredicateObjectConfidenceSrc
Divided differencesis aalgorithm0.90text
Divided differencesrelated to DefinitionGiven0.60section
Divided differencesrelated to DefinitionTo0.60section
Divided differencesrelated to ExampleDivided0.60section
Divided differencesrelated to ExampleThus0.60section
Divided differencesrelated to Forward and backward differencesWhen0.60section
Divided differencesrelated to Forward and backward differencesThey0.60section
Divided differencesrelated to Forward and backward differencesGiven0.60section
Divided differencesrelated to Forward and backward differencesDelta0.60section
Divided differencesrelated to Forward and backward differencesThus0.60section
Divided differencesrelated to Peano formIf0.60section
Divided differencesrelated to Peano formB-spline0.60section

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