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  2. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    Addition is commutative, meaning that one can change the order of the terms in a sum, but still get the same result. Symbolically, if a and b are any two numbers, then a + b = b + a. The fact that addition is commutative is known as the "commutative law of addition" or "commutative property of addition".

  3. List of logarithmic identities - Wikipedia

    en.wikipedia.org/wiki/List_of_logarithmic_identities

    The natural logarithm is asymptotically related to the harmonic numbers by the Stirling numbers [19] and the Gregory coefficients. [20] By representing H n {\displaystyle H_{n}} in terms of Stirling numbers of the first kind , the harmonic number difference is alternatively expressed as follows, for fixed k {\displaystyle k} :

  4. Additive identity - Wikipedia

    en.wikipedia.org/wiki/Additive_identity

    In mathematics, the additive identity of a set that is equipped with the operation of addition is an element which, when added to any element x in the set, yields x.One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where addition is defined, such as in groups and rings.

  5. Ready for Christmas? Let these festive dogs get you into the ...

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    Pictures: Festive dogs in the holiday spirit. Fernando Cervantes Jr. is a trending news reporter for USA TODAY. Reach him at fernando.cervantes@gannett.com and follow him on X @fern_cerv_.

  6. Is there already a College Football Playoff controversy ...

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    The decision from the selection committee related to the first-round bye is not insignificant. The fourth highest-ranked conference champion, the No. 4 seed in the bracket, gets an additional week ...

  7. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.