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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 ...
In mathematics, the Rankin–Cohen bracket of two modular forms is another modular form, generalizing the product of two modular forms. Rankin ( 1956 , 1957 ) gave some general conditions for polynomials in derivatives of modular forms to be modular forms, and Cohen ( 1975 ) found the explicit examples of such polynomials that give Rankin ...
In mathematics, the Iverson bracket, named after Kenneth E. Iverson, is a notation that generalises the Kronecker delta, which is the Iverson bracket of the statement x = y. It maps any statement to a function of the free variables in that statement. This function is defined to take the value 1 for the values of the variables for which the ...
Strength training. She combines all that swimming with strength training.She says that she gets in the weight room twice a week for 30 minutes each time, with a primary focus on her shoulders and ...
The U.S. ambassador to Mexico, Ken Salazar, said on Wednesday that the country is not safe and criticized the previous president for a failed security policy and refusing to accept American ...
The Cocoon by Sealy is an excellent cooling mattress ideal for sleepers who run hot or live in warmer climates. The Cocoon Chill usually costs over $1,000, but during Black Friday, it's down to ...
Pascal's pyramid's first five layers. Each face (orange grid) is Pascal's triangle. Arrows show derivation of two example terms. In mathematics, Pascal's pyramid is a three-dimensional arrangement of the trinomial numbers, which are the coefficients of the trinomial expansion and the trinomial distribution. [1]
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