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The summation symbol. Mathematical notation uses a symbol that compactly represents summation of many similar terms: the summation symbol, , an enlarged form of the upright capital Greek letter sigma. [1] This is defined as
Use of the letter x for an independent variable or unknown value. See History of algebra: The symbol x. 1637 [2] ... summation symbol 1755
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} .
Sigma (/ ˈ s ɪ ɡ m ə / SIG-mə; [1] uppercase Σ, lowercase σ, lowercase in word-final position ς; Ancient Greek: σίγμα) is the eighteenth letter of the Greek alphabet.In the system of Greek numerals, it has a value of 200.
Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities. In these contexts, the capital letters and the small letters represent distinct and unrelated entities.
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 ...
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Summation#Capital-sigma notation