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In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.
In mathematics, divided differences is an algorithm, historically used for computing tables of logarithms and trigonometric functions. [citation needed] Charles Babbage's difference engine, an early mechanical calculator, was designed to use this algorithm in its operation.
Rectangles of area 6, including 2x3 and 3x2 (solid black), and a square of side geometric mean of 2 and 3, or square root of 6 (red dashed); plus a square of side arithmetic mean of 2 and 3 (black dotted) with area 6.25 Distances between vertices of a double unit cube are square roots of the first six natural numbers, including the square root ...
Sexagesimal, also known as base 60, [1] is a numeral system with sixty as its base.It originated with the ancient Sumerians in the 3rd millennium BC, was passed down to the ancient Babylonians, and is still used—in a modified form—for measuring time, angles, and geographic coordinates.
This order is used in both the traditional all-numeric date (e.g., "1/21/24" or "01/21/2024") and the expanded form (e.g., "January 21, 2024"—usually spoken with the year as a cardinal number and the day as an ordinal number, e.g., "January twenty-first, twenty twenty-four"), with the historical rationale that the year was often of lesser ...
This inline template is placed after any acronym, abbreviation or initialism that needs to be expanded. Template parameters [Edit template data] This template prefers inline formatting of parameters. Parameter Description Type Status Tag and hover text type 1 Change text. in = initialism | ab = abbreviation | (null or invalid value) = acronym Auto value String optional Month and year date The ...
6 is the 2nd superior highly composite number, [5] the 2nd colossally abundant number, [6] the 3rd triangular number, [7] the 4th highly composite number, [8] a pronic number, [9] a congruent number, [10] a harmonic divisor number, [11] and a semiprime. [12] 6 is also the first Granville number, or -perfect number.