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An expression is often used to define a function, by taking the variables to be arguments, or inputs, of the function, and assigning the output to be the evaluation of the resulting expression. [5] For example, x ↦ x 2 + 1 {\displaystyle x\mapsto x^{2}+1} and f ( x ) = x 2 + 1 {\displaystyle f(x)=x^{2}+1} define the function that associates ...
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.
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: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization
The Biden administration has moved to forgive about $4.7 billion in U.S. loans to Ukraine, State Department spokesperson Matthew Miller said on Wednesday, as outgoing officials seek to do what ...
At least five people have been hospitalized and 62 others were detained after a night of violence targeting Israeli soccer fans in Amsterdam on Thursday, authorities said. The Israeli National ...
ABC projects that Democrat Adam Gray will win the race for California's 13th Congressional District, unseating incumbent Republican John Duarte and flipping the final unresolved seat in the 2024 ...
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