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  2. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    In mathematics, an algebraic expression is an expression built up from constants (usually, rational or algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).

  3. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    Mathematics. Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter), for example. Simplification of algebraic expressions, in computer algebra. Simplification of boolean expressions i.e. logic optimization. Simplification by conjunction elimination in inference in logic ...

  4. Karnaugh map - Wikipedia

    en.wikipedia.org/wiki/Karnaugh_map

    The Karnaugh map ( KM or K-map) is a method of simplifying Boolean algebra expressions. Maurice Karnaugh introduced it in 1953 [ 1][ 2] as a refinement of Edward W. Veitch 's 1952 Veitch chart, [ 3][ 4] which itself was a rediscovery of Allan Marquand 's 1881 logical diagram[ 5][ 6] aka Marquand diagram[ 4] but now with a focus set on its ...

  5. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    Clearing denominators. In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions .

  6. Expression (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Expression_(mathematics)

    Expression (mathematics) In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers ( constants ), variables, operations, functions. Other symbols include punctuation signs and brackets (often used for grouping, that is for ...

  7. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    An identity is an equation that is true for all possible values of the variable(s) it contains. Many identities are known in algebra and calculus. In the process of solving an equation, an identity is often used to simplify an equation, making it more easily solvable. In algebra, an example of an identity is the difference of two squares:

  8. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    Cross-multiplication. In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is also occasionally known as the "cross your heart" method because lines resembling ...

  9. Closed-form expression - Wikipedia

    en.wikipedia.org/wiki/Closed-form_expression

    Closed-form expression. In mathematics, an expression or equation is in closed form if it is formed with constants, variables and a finite set of basic functions connected by arithmetic operations ( +, −, ×, /, and integer powers) and function composition. Commonly, the allowed functions are n th root, exponential function, logarithm, and ...

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