5. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. When you take data in an experiment, the dependent variable is the one being measured. [4], At the end of the 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—in order to obtain the result by a simple replacement. All these denominations of variables are of semantic nature, and the way of computing with them (syntax) is the same for all. The dependent variable is "dependent" on the independent variable. However, this letter is frequently followed by a subscript, as in x2, and this subscript may be a number, another variable (xi), a word or the abbreviation of a word (xin and xout), and even a mathematical expression. Scientists use this mathematical meaning of delta often in physics, chemistry, and engineering, and it appears often in word problems. In a math equation, variables are the symbols or letters that represent numbers whose values can change. This is typically the case in sentences like "function of a real variable", "x is the variable of the function f: x ↦ f(x)", "f is a function of the variable x" (meaning that the argument of the function is referred to by the variable x). It is called the input of a function. 1. a. 2. Specific branches and applications of mathematics usually have specific naming conventions for variables. In 1637, René Descartes "invented the convention of representing unknowns in equations by x, y, and z, and knowns by a, b, and c". In mathematics, a variable is usually given a letter, such as x or y.For example: The letters m, n, p, q are often used as variables for integers. b. Inconstant; fickle. Using the previous example of "height", the variable h is an interval variable. (of a wind) varying its direction and intensity 4. Antonyms for Variable (mathematics). Starting in the 1660s, Isaac Newton and Gottfried Wilhelm Leibniz independently developed the infinitesimal calculus, which essentially consists of studying how an infinitesimal variation of a variable quantity induces a corresponding variation of another quantity which is a function of the first variable. A convention often followed in probability and statistics is to use X, Y, Z for the names of random variables, keeping x, y, z for variables representing corresponding actual values. See more. Therefore, in a formula, a dependent variable is a variable that is implicitly a function of another (or several other) variables. Biology Tending to exhibit genetic variation or variation in a physical trait: geographically variable color patterns. It represents the cause or reason for an outcome. The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. On the other hand, if y and z depend on x (are dependent variables) then the notation represents a function of the single independent variable x. Synonyms: adaptable, adjustable, alterable… Antonyms: established, fixed, immutable… Find the right word. Attribute data is always binary and unuseable for the purpose of quantification. Likely to change or vary; subject to variation; changeable. A variable is a quantity that may be changed according to the mathematical problem. For example, if the variable "x" stands for the movement of an object, then "Δx" means "the change in movement." Synonyms for Variable (mathematics) in Free Thesaurus. 3x - 4 + 4 = 11 + 4. Some examples will clarify the difference between discrete and continuous variables. Typically, we use a single letter to represent a variable. Similarly, the term variable is used in Statistics also. In the same context, variables that are independent of x define constant functions and are therefore called constant. In the figure above, x is a variable in the equation 3x - 4 = 11 because we have no idea what the value of x is at the moment. Variable: In mathematics, a variable is a quantity that can change. It is common for variables to play different roles in the same mathematical formula, and names or qualifiers have been introduced to distinguish them. It can take any value. In those cases I tend to use the description environment, customizing its label so that it acts as inline math.. Top; Contact us; log in. Find the value of the variable y for the equation y = 2x2 when x = 5, Now, substituting x = 5 in the given equation, we get, Therefore, the value of y is 50, when x = 5. To identify what quantity a variable for time, apt or liable to vary change. 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