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Closed-form expression

In mathematics, a closed form expression or formula is one that is formed with constants, variables, and a set of functions considered as basic and connected by arithmetic operations (+, −, ×, /, and integer powers) and function composition. Commonly, the basic functions that are allowed in closed forms are nth root, exponential function, logarithm, and…

Measurement, Comparison of different classes of expressions & Overview

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Overview

Symbolic integration

Alternative definitions

Comparison of different classes of expressions

Dealing with non-closed-form expressions

Closed-form number

Numerical computations

Conversion from numerical forms

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Closed-form expression

Nodes77
Edges76
Triples23
Avg. degree1.97
Density0.025974
Components1

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Closed-form expression

Top relations

related to Comparison of different classes of expressions · 7
Closed-form expression → Chow, Indeed, Similarly, Stone, The, There, Weierstrass
related to Conversion from numerical forms · 6
Closed-form expression → Inverse Symbolic Calculator, Maple, Plouffe's Inverter, RIES, SymPy, There
related to Differential Galois theory · 5
Closed-form expression → Galois, Joseph Liouville, Liouville's, The, This
related to Symbolic integration · 4
Closed-form expression → Functions, In, Symbolic, The

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Important terminology

closed-form closed functions form basic expression elementary function solution displaystyle equation polynomial mathematical equations logarithms number forms roots numbers one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the error function or gamma function to be basicinstance ofunless one considers special functions0.80text
Closed-form expressionrelated to Comparison of different classes of expressionsThe0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsIndeed0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsStone0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsWeierstrass0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsSimilarly0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsThere0.60section
Closed-form expressionrelated to Comparison of different classes of expressionsChow0.60section
Closed-form expressionrelated to Conversion from numerical formsThere0.60section
Closed-form expressionrelated to Conversion from numerical formsRIES0.60section
Closed-form expressionrelated to Conversion from numerical formsMaple0.60section
Closed-form expressionrelated to Conversion from numerical formsSymPy0.60section

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