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Algebraic expression and Equation

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algebraic expression and Equation

Algebraic expression vs. Equation

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). In mathematics, an equation is a statement of an equality containing one or more variables.

Similarities between Algebraic expression and Equation

Algebraic expression and Equation have 19 things in common (in Unionpedia): Abel–Ruffini theorem, Addition, Algebra, Algebraic equation, Algebraic solution, Cubic function, Degree of a polynomial, Division (mathematics), Expression (mathematics), Mathematics, Multiplication, Pi, Polynomial, Quartic function, Rational number, Subtraction, Term (logic), Transcendental number, Variable (mathematics).

Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

Abel–Ruffini theorem and Algebraic expression · Abel–Ruffini theorem and Equation · See more »

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

Addition and Algebraic expression · Addition and Equation · See more »

Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Algebraic equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.

Algebraic equation and Algebraic expression · Algebraic equation and Equation · See more »

Algebraic solution

An algebraic solution or solution in radicals is a closed-form expression, and more specifically a closed-form algebraic expression, that is the solution of an algebraic equation in terms of the coefficients, relying only on addition, subtraction, multiplication, division, raising to integer powers, and the extraction of nth roots (square roots, cube roots, and other integer roots).

Algebraic expression and Algebraic solution · Algebraic solution and Equation · See more »

Cubic function

In algebra, a cubic function is a function of the form in which is nonzero.

Algebraic expression and Cubic function · Cubic function and Equation · See more »

Degree of a polynomial

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

Algebraic expression and Degree of a polynomial · Degree of a polynomial and Equation · See more »

Division (mathematics)

Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication.

Algebraic expression and Division (mathematics) · Division (mathematics) and Equation · See more »

Expression (mathematics)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Algebraic expression and Expression (mathematics) · Equation and Expression (mathematics) · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

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Pi

The number is a mathematical constant.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Algebraic expression and Polynomial · Equation and Polynomial · See more »

Quartic function

In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial.

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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Subtraction

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection.

Algebraic expression and Subtraction · Equation and Subtraction · See more »

Term (logic)

In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact.

Algebraic expression and Term (logic) · Equation and Term (logic) · See more »

Transcendental number

In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a nonzero polynomial equation with integer (or, equivalently, rational) coefficients.

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Variable (mathematics)

In elementary mathematics, a variable is a symbol, commonly an alphabetic character, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown.

Algebraic expression and Variable (mathematics) · Equation and Variable (mathematics) · See more »

The list above answers the following questions

Algebraic expression and Equation Comparison

Algebraic expression has 39 relations, while Equation has 163. As they have in common 19, the Jaccard index is 9.41% = 19 / (39 + 163).

References

This article shows the relationship between Algebraic expression and Equation. To access each article from which the information was extracted, please visit:

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