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  1. algebra precalculus - Properties of subtraction and division ...

    Sep 7, 2020 · Addition and multiplication have properties, such as the commutative property. Division is actually multiplication of the inverse, and does not have its own properties.

  2. What is the role of associative and commutative properties in ...

    Dec 27, 2016 · Significance of associative, distributive and commutative properties in mathematics. These elementary properties of the natural numbers led mathematicians to …

  3. Why define addition with successor? - Mathematics Stack Exchange

    Oct 27, 2023 · He’s defining addition out of nothing but the successor function and a thing he calls 0. To understand it, you have to forget that addition exists and forget your intuitions about …

  4. Associativity, commutativity and distributivity of modulo arithmetic

    Mar 8, 2017 · Textbooks usually state " it is not hard to check that in modular arithmetic the usual associative, commutative and distributive properties continue to apply ". Is there a way other …

  5. logarithm of a sum or addition - Mathematics Stack Exchange

    Jun 30, 2016 · I search a general rule for calculating the logarithm of a sum or addition. I know that $$\\ln{(a+b)}=\\ln{\\left(a\\left(1+\\frac b a\\right)\\right)}=\\ln{(a)}+\\ln ...

  6. modular arithmetic - What are the properties of the modulus ...

    In mathematics "modulus" % is not a well-defined arithmetic operation. At best it might be considered a function that returns an equivalence class rather than a number. Mathematics …

  7. linear algebra - Proving 10 Properties of Vector Addition and …

    Apr 29, 2019 · Proving 10 Properties of Vector Addition and Scalar Multiplication for Vectors Ask Question Asked 6 years, 7 months ago Modified 6 years, 7 months ago

  8. 8 Vs 10 Axioms / Properties of a Vector Space: Should Closure of ...

    Unfortunately, the reason as to why closure under vector addition and scalar multiplication need not be included is not explained. Further searches online have turned up lists of 8, 9 or 10 …

  9. discrete mathematics - is bitwise xor completely associative ...

    Jul 11, 2015 · Edit: To clarify addition modulo 2 is a group which has group elements in the set $\ {0,1\}$ and the operation table: $$\left [\begin {array} {c|cc}+&0&1\\\hline0&0&1\\1&1&0\end …

  10. Properties of modular arithmetic without equivalence classes

    Aug 18, 2023 · My questions are: (1) why is it difficult to glean the properties of the original addition (please provide examples to make it clearer) and (2) how does the introduction of …