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  2. Symbol that represents a mathematical object

    Variable (mathematics) In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.
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    What is a variable in math?In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.
    What is a random variable called?A random variable is typically represented by capital roman letters such as , , and , and can be either discrete (taking on a countable set of values) or continuous (taking on an interval of values). The set is called the sample space. The set is called the event space. Take a probability measure on . Take a set in .
    Which letter is used for a variable in mathematics?In mathematics, a variable is usually given a letter, such as x or y. Other letters are often used for particular kinds of variable: The letters m, n, p, q are often used as variables for integers. The letters a, b and c are often used as coefficients of functions. The letters i, j , k are often used as indices of summation.
    What is a purely mathematical analysis of random variables?The purely mathematical analysis of random variables is independent of such interpretational difficulties, and can be based upon a rigorous axiomatic setup. In the formal mathematical language of measure theory, a random variable is defined as a measurable function from a probability measure space (called the sample space) to a measurable space.
     
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    In mathematics, a variable (from Latin variabilis, "changeable") is a symbol that represents a mathematical object. A variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set. Algebraic computations with variables as if they were explicit numbers … See more

    In ancient works such as Euclid's Elements, single letters refer to geometric points and shapes. In the 7th century, Brahmagupta used different colours to represent the unknowns in algebraic equations in the See more

    Variables are generally denoted by a single letter, most often from the Latin alphabet and less often from the Greek, which may be … See more

    • a, b, c, d (sometimes extended to e, f) for parameters or coefficients
    • a0, a1, a2, ... for situations where distinct letters are inconvenient See more

    7th century
    Brahmagupta used different colours to represent the unknowns in algebraic equations in the Brāhmasphuṭasiddhānta.
    16th century
    François Viète introduced the idea of representing known and unknown numbers by letters, nowadays called variables, and the idea of computing with them as if they were numbers.
    1637
    René Descartes "invented the convention of representing unknowns in equations by x, y, and z, and knowns by a, b, and c".
    1660s
    Isaac Newton and Gottfried Wilhelm Leibniz independently developed the infinitesimal calculus.
    1887
    The history of the letter x in math was discussed in an 1887 Scientific American article.
    19th century
    The word variable referred almost exclusively to the arguments and the values of functions.
    19th century
    It appeared that the foundation of infinitesimal calculus was not formalized enough to deal with apparent paradoxes such as a nowhere differentiable continuous function.
    19th century
    Karl Weierstrass introduced a new formalism consisting of replacing the intuitive notion of limit by a formal definition.
    7th century - 19th century
    The history of variables in mathematics.

    It is common for variables to play different roles in the same mathematical formula, and names or qualifiers have been introduced to … See more

    • Edwards, Joseph (1892). An Elementary Treatise on the Differential Calculus (2nd ed.). London: MacMillan and Co.
    • Foerster, Paul A. (2006). Algebra and Trigonometry: … See more

     
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  5. WebMore precisely, numbers and other mathematical objects are represented by symbols called variables, which are generally Latin or Greek letters, and …

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