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These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.
Each of the products listed below, and in particular, the products for 3 and −6, is the only way that the relevant number can be written as a product of 7 and another real number: 14 = 7 × 2 ; {\displaystyle 14=7\times 2;}
The product of the denominators is always a common denominator, as in: ... 36 is the least common multiple of 12 and 18. Their product, 216, is also a common ...
In mathematics, summation by parts transforms the summation of products of sequences into other summations, often simplifying the computation or (especially) estimation of certain types of sums. It is also called Abel's lemma or Abel transformation , named after Niels Henrik Abel who introduced it in 1826.
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Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
No. 6 last Tuesday, the Cougars should land no higher than No. 13, one spot or more behind Boise State, after losing 17-13 to Kansas. There are two main reasons to expect a significant drop.
Nicole Kidman is proud of how her new erotic thriller depicts women's sexuality at older ages. "A lot of times women are discarded at a certain period of their career as a sexual being," Kidman ...