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Variable (mathematics) in mathematics, a variable (from latin variabilis 'changeable') is a symbol, typically a letter, that refers to an unspecified mathematical object Most real functions that are considered and studied are differentiable in some interval. [1][2][3] one says colloquially that the variable represents or denotes the object, and that any valid candidate for the object is the value of the variable.

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Free variables and bound variables in mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a variable may be said to be either free or bound In mathematical analysis, and applications in geometry, applied mathematics, engineering, and natural sciences, a function of a real variable is a function whose domain is the real numbers , or a subset of that contains an interval of positive length Some older books use the terms real variable and apparent variable for free variable and bound variable, respectively.

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A variable is considered dependent if it depends on (or is hypothesized to depend on) an independent variable

Dependent variables are studied under the supposition or demand that they depend, by some law or rule (e.g., by a mathematical function), on the values of other variables. In mathematical analysis and its applications, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables This concept extends the idea of a function of a real variable to several variables The input variables take real values, while the output, also called the value of the function, may be real.

List of mathematical examples this page will attempt to list examples in mathematics To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. In mathematics and statistics, a quantitative variable may be continuous or discrete If it can take on two real values and all the values between them, the variable is continuous in that interval

A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events

The term 'random variable' in its mathematical definition refers to neither randomness nor variability [1] but instead is a mathematical function in which the domain is the set of possible outcomes in a sample space.