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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.
u+03fe Ͼ greek capital dotted lunate sigma symbol; u+03ff Ͽ greek capital reversed dotted lunate sigma symbol; u+2140 ⅀ double-struck n-ary summation; u+2211 ∑ n-ary summation (∑, ∑) u+23b2 ⎲ summation top [a] u+23b3 ⎳ summation bottom; u+2ca4 Ⲥ coptic capital letter sima; u+2ca5 ⲥ coptic small letter sima; u+2cea ...
The Combining Diacritical Marks for Symbols block contains arrows, dots, enclosures, and overlays for modifying symbol characters. The math subset of this block is U+20D0–U+20DC, U+20E1, U+20E5–U+20E6, and U+20EB–U+20EF.
An index that is summed over is a summation index, in this case "i ". It is also called a dummy index since any symbol can replace "i " without changing the meaning of the expression (provided that it does not collide with other index symbols in the same term). An index that is not summed over is a free index and should appear only once per ...
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. This is defined as = a i = a m + a m + 1 + a m + 2 + ... + a n - 1 + a n
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 ...
From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Summation#Capital-sigma notation
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.