# associative law वाक्य

"associative law" हिंदी में associative law in a sentence### उदाहरण वाक्य

- There the
*associative law*is replaced by the Jacobi identity. - The Cayley plane uses octonion coordinates which do not satisfy the
*associative law*. - This operation on rotations obeys the
*associative law*, but can fail the commutative law. - If the product operation is associative, the generalized
*associative law*says that all these formulas will yield the same result, making the parenthesis unnecessary. - A partial groupoid ( M, \ circ ) is called a "'partial semigroup "'if the following
*associative law*holds: - The
*associative laws*of addition and multiplication allow adding terms in any order, and multiplying factors in any order but mixed operations must obey the standard order of operations. - Leonhard Euler considered algebraic operations on numbers modulo an integer, modular arithmetic, in
*associative law*for the composition of forms, but like Euler before him, he seems to have been more interested in concrete results than in general theory. - While some of the familiar rules of arithmetic algebra continue to hold in the algebra of propositions ( e . g . the commutative and
*associative laws*for AND and OR ), some do not ( e . g . the distributive laws for AND, OR and NOT ). - But this is nothing more than the geometric version of the ( left ) distributive law, a ( b + c + d ) = ab + ac + ad; and in Books V and VII of the " Elements " the commutative and
*associative laws*for multiplication are demonstrated. - In 1932, Jordan attempted to axiomatize quantum theory by saying that the algebra of observables of any quantum system should be a formally real algebra which is commutative ( " xy " = " yx " ) and power-associative ( the
*associative law*holds for products involving only " x ", so that powers of any element " x " are unambiguously defined ).

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