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2. Associative property - Wikipedia

   en.wikipedia.org/wiki/Associative_property

   In mathematics, the associative property [1] is a property of some binary operations that means that rearranging the parentheses in an expression will not change the result. In propositional logic , associativity is a valid rule of replacement for expressions in logical proofs .

3. Investigations in Numbers, Data, and Space - Wikipedia

   en.wikipedia.org/wiki/Investigations_in_Numbers...

   Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...

4. Proofs involving the addition of natural numbers - Wikipedia

   en.wikipedia.org/wiki/Proofs_involving_the...

   The base case b = 0 follows immediately from the identity element property (0 is an additive identity), which has been proved above: a + 0 = a = 0 + a. Next we will prove the base case b = 1, that 1 commutes with everything, i.e. for all natural numbers a, we have a + 1 = 1 + a.

5. Function composition - Wikipedia

   en.wikipedia.org/wiki/Function_composition

   If an airplane's altitude at time t is a(t), and the air pressure at altitude x is p(x), then (p ∘ a)(t) is the pressure around the plane at time t. Function defined on finite sets which change the order of their elements such as permutations can be composed on the same set, this being composition of permutations.

6. Category:Elementary algebra - Wikipedia

   en.wikipedia.org/wiki/Category:Elementary_algebra

   Download as PDF; Printable version; ... This category has the following 5 subcategories, out of 5 total. ... Associative property; C. Cancelling out;

7. Bimodule - Wikipedia

   en.wikipedia.org/wiki/Bimodule

   The crucial bimodule property, that (r.x).s = r.(x.s), is the statement that multiplication of matrices is associative (which, in the case of a matrix ring, corresponds to associativity). Any algebra A over a ring R has the natural structure of an R -bimodule, with left and right multiplication defined by r . a = φ ( r ) a and a . r = aφ ( r ...