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  2. Big O notation - Wikipedia

    en.wikipedia.org/wiki/Big_O_notation

    For example, let f(x) = 6x 4 − 2x 3 + 5, and suppose we wish to simplify this function, using O notation, to describe its growth rate as x approaches infinity. This function is the sum of three terms: 6x 4, −2x 3, and 5. Of these three terms, the one with the highest growth rate is the one with the largest exponent as a function of x ...

  3. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is mathematically meaningless.

  4. Simplification - Wikipedia

    en.wikipedia.org/wiki/Simplification

    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:

  5. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    Substitutions of hyperbolic functions can also be used to simplify integrals. [ 4 ] For example, to integrate 1 / a 2 + x 2 {\displaystyle 1/{\sqrt {a^{2}+x^{2}}}} , introduce the substitution x = a sinh ⁡ u {\displaystyle x=a\sinh {u}} (and hence d x = a cosh ⁡ u d u {\displaystyle dx=a\cosh u\,du} ), then use the identity cosh 2 ⁡ ( x ...

  6. Polynomial expansion - Wikipedia

    en.wikipedia.org/wiki/Polynomial_expansion

    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 ...

  7. Here's why it's such a headache to do your taxes (Hint: It's ...

    www.aol.com/finance/heres-why-headache-taxes...

    Our country's tax code spans 4 million words, and its complexity contributes to why a fifth of eligible Americans don't claim one of the most valuable tax credits available.

  8. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    Since taking the square root is the same as raising to the power ⁠ 1 / 2 ⁠, the following is also an algebraic expression: 1 − x 2 1 + x 2 {\displaystyle {\sqrt {\frac {1-x^{2}}{1+x^{2}}}}} An algebraic equation is an equation involving polynomials , for which algebraic expressions may be solutions .

  9. Manage spam and privacy in AOL Mail

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    Select the email. Click Spam.; If you're given the option, click Unsubscribe and you will no longer receive messages from the mailing list. If you click the "Mark as Spam" icon, the message will be marked as spam and moved into the spam folder.