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The summation of an explicit sequence is denoted as a succession of additions. For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative, there is no need of parentheses, and the result is the same irrespective of the order of the summands ...
display=inline generates a smaller summation sign and moves the limits on the sum to the right side of the summation sign. The code for this is <math display = inline>\sum_{n=1}^\infty 1/n^2 = \pi^2/6</math>, and it renders as the much more aesthetic = / = /. However, the default font for inline formula is different from the normal text font.
The integral symbol is U+222B ∫ INTEGRAL in Unicode [5] and \int in LaTeX. In HTML, it is written as ∫ ( hexadecimal ), ∫ ( decimal) and ∫ ( named entity ). The original IBM PC code page 437 character set included a couple of characters ⌠ and ⌡ (codes 244 and 245 respectively) to build the integral symbol.
The Supplemental Mathematical Operators block (U+2A00–U+2AFF) contains various mathematical symbols, including N-ary operators, summations and integrals, intersections and unions, logical and relational operators, and subset/superset relations. Supplemental Mathematical Operators [1] Official Unicode Consortium code chart (PDF) 0.
In Pascal's triangle, each number is the sum of the two numbers directly above it. In the th row of Pascal's triangle, the th entry is denoted (), pronounced "n choose k". For example, the topmost element is () =. With this notation, the downward addition construction of the previous paragraph may be written as:
For example, let f(x) = 6x 4 − 2x 3 + 5, and suppose we wish to simplify this function, using O notation, to describe its growth rate as x approaches infinity. This function is the sum of three terms: 6x 4, −2x 3, and 5. Of these three terms, the one with the highest growth rate is the one with the largest exponent as a function of x ...
Einstein notation. In mathematics, especially the usage of linear algebra in mathematical physics and differential geometry, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies summation over a set of indexed terms in a formula, thus achieving brevity.
Tagged union. In computer science, a tagged union, also called a variant, variant record, choice type, discriminated union, disjoint union, sum type, or coproduct, is a data structure used to hold a value that could take on several different, but fixed, types. Only one of the types can be in use at any one time, and a tag field explicitly ...