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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 ...
In mathematics, brackets of various typographical forms, such as parentheses ( ), square brackets [ ], braces { } and angle brackets , are frequently used in mathematical notation. Generally, such bracketing denotes some form of grouping: in evaluating an expression containing a bracketed sub-expression, the operators in the sub-expression take ...
Murray Gerstenhaber at Oberwolfach in 2010. In mathematics and theoretical physics, a Gerstenhaber algebra (sometimes called an antibracket algebra or braid algebra) is an algebraic structure discovered by Murray Gerstenhaber (1963) that combines the structures of a supercommutative ring and a graded Lie superalgebra.
The combination of these two symbols is sometimes known as a long division symbol or division bracket. [8] It developed in the 18th century from an earlier single-line notation separating the dividend from the quotient by a left parenthesis. [9] [10] The process is begun by dividing the left-most digit of the dividend by the divisor.
Founded in 1986, QVC has retail operations in the U.S., the U.K., Germany, Japan and Italy. The company reaches more than 200 million homes around the globe through 13 TV channels.
Shenghua Wen, a 41-year-old Chinese national illegally living in Ontario, California, is accused of shipping guns and ammunition to North Korea.
A look back at how "48 Hours" covered the 1996 Christmastime murder of JonBenét Ramsey in 2002, and what her father John Ramsey says about the unsolved Colorado case nearly 28 years later.
In standard truth-functional propositional logic, distribution [3] [4] in logical proofs uses two valid rules of replacement to expand individual occurrences of certain logical connectives, within some formula, into separate applications of those connectives across subformulas of the given formula.
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