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In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.
Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows two columns of three apples and two apples ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
The following table lists many specialized symbols commonly used in modern mathematics, ordered by their introduction date. The table can also be ordered alphabetically by clicking on the relevant header title.
The "i = m" under the summation symbol means that the index i starts out equal to m. The index, i , is incremented by 1 for each successive term, stopping when i = n . For functions , Euler used the notation f ( x ) {\displaystyle f(x)} to represent a function of x {\displaystyle x} .
In number theory, Ramanujan's sum, usually denoted c q (n), is a function of two positive integer variables q and n defined by the formula ... The summation symbol
Sum, an old name for the Finns in East Slavic languages, derived from the word Suomi, "Finland" Soum (currency) (also spelled "sum"), a unit of currency used in some Turkic-speaking countries of Central Asia; SUM (interbank network), an interbank network in 42 U.S. states; SUM, the ISO 639-3 code for the Sumo language; Cen (surname), sometimes ...
The plus sign (+) and the minus sign (−) are mathematical symbols used to denote positive and negative functions, respectively. In addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference. [1] Their use has been extended to many other meanings, more or less analogous.