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2. Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Elementary_algebra

   And, substitution allows one to derive restrictions on the possible values, or show what conditions the statement holds under. For example, taking the statement x + 1 = 0, if x is substituted with 1, this implies 1 + 1 = 2 = 0, which is false, which implies that if x + 1 = 0 then x cannot be 1.

3. Integration by substitution - Wikipedia

   en.wikipedia.org/wiki/Integration_by_substitution

   In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, [1] is a method for evaluating integrals and antiderivatives. It is the counterpart to the chain rule for differentiation , and can loosely be thought of as using the chain rule "backwards."

4. Change of variables - Wikipedia

   en.wikipedia.org/wiki/Change_of_variables

   Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering differentiation or integration (integration by substitution). A very simple example of a useful variable change can be seen in the problem of finding the roots of the sixth-degree polynomial:

5. His wife adored the holidays. Days after she died, he found ...

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   The 2024 Rockefeller Center Christmas tree is set to arrive in New York City from West Stockbridge, Massachusetts, and the family donating it shares the story behind their special connection to ...

6. Substitution (logic) - Wikipedia

   en.wikipedia.org/wiki/Substitution_(logic)

   A substitution σ is called a flat substitution if xσ is a variable for every variable x. A substitution σ is called a renaming substitution if it is a permutation on the set of all variables. Like every permutation, a renaming substitution σ always has an inverse substitution σ −1, such that tσσ −1 = t = tσ −1 σ for every term t ...

7. Trump aims to deport all immigrants in the US illegally - AOL

   www.aol.com/news/trump-says-aims-deport...

   Trump also said he plans to take executive action on his first day in office to try to end birthright citizenship, which confers citizenship on anyone born in the U.S. regardless of their parents ...