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This page is about 大, the chinese character, and its mathematical application as evaluation operator. 漢字 in Traditional Chinese and other languages. ...
This article is about operators in mathematics, for other kinds of operators see operator (disambiguation). ...
The symbol
大 is a chinese character pronounced "da" (mandarin) or "dai" (cantonese). It symbolizes a man spreading out his legs and arms to make himself look big. Thus, it translates to: big, huge, massive or great. 漢字 in Traditional Chinese and other languages. ...
DA might be an acronym or abbreviation for: Dopamine Dalton (Da), the atomic mass unit Doctor of Arts degree Decision analysis deviantART Dimensional analysis Directional antenna (used in AM broadcasting) U.S. District Attorney or district attorney (city), in the United States. ...
Mandarin has a number of meanings: An Imperial Chinese bureaucrat, and in the UK, by analogy, any government bureaucrat. ...
Cantonese can refer to: Of, or pertaining to, the people of, or things from, Guangdong Province, Hong Kong or Macau in China. ...
Mathematical definition 大 is used as the mathematical symbol for the evaluation operator. It is applied to functions and inserts values for unbound variables. This operator simply replaces every instance of one variable with a numeric value or a mathematical expression. In mathematics, a set of symbols is frequently used in mathematical expressions. ...
In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range). ...
In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation for a place or places in an expression, into which some definite substitution may take place, or with respect to which some operation (summation or quantification, to give two...
In case there are contextually defined initial values for the free parameters they may be implicitely assumed.
Example of application The evaluation operator is applied in mathematics for the expression of sequential processes, computer programs and algorithms. A process is a naturally occurring or designed sequence of operations or events, possibly taking up time, space, expertise or other resource, which produces some outcome. ...
A computer program (often simply called a program) is an example of computer software that prescribes the actions (computations) that are to be carried out by a computer. ...
Flowcharts are often used to represent algorithms. ...
Consider for instance the following simple algorithm for the computation of the Mandelbrot set. It clearly represents a mathematical function in x, but is difficult to express in explicit or closed form. A rendering of the Mandelbrot set: black points represent the stable points under the iterative map In mathematics, the Mandelbrot set is a fractal that is defined as the set of points c in the complex plane for which the iteratively defined sequence: does not tend to infinity. ...
In mathematics, a function is a relation, such that each element of a set (the domain) is associated with a unique element of another (possibly the same) set (the codomain, not to be confused with the range). ...
In mathematics, closed form can mean: a finitary expression, rather than one involving (for example) an infinite series, or use of recursion - this meaning usually occurs in a phrase like solution in closed form and one also says closed formula; a closed differential form: see Closed and exact differential forms. ...
FOR i := 1 TO 100 x := x^2 - 1 END PRINT SGN(ABS(x)-10) Using 大, the function can be written in explicit form and integrated in mathematical notation. The mathematical notation uses the operator power the express the repeated operator application. Individual 大's are placed in the same order as in the computational procedure. Programming constructs like the conditional branch can be expressed by the decision operator. In computer science and in computer programming, statements in pseudocode or in a program are normally obeyed one after the other in the order in which they are written (sequential flow of control). ...
Alternative notation An alternative and very common notation for the same mathematical concept is expressed by the bar operator. In contrast to all other mathematical operators it is applied from the right hand side and is notationally difficult to raise to a power. This article is about operators in mathematics, for other kinds of operators see operator (disambiguation). ...
See also Mathematical fields using 大: | 
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