• In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality x ⋅ ( y + z...
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  • word, was coined), in a 1982 paper by Sergei Matveev (under the name distributive groupoids) and in a 1986 conference paper by Egbert Brieskorn (where...
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  • Distributive may refer to: Distributive property, in algebra, logic and mathematics Distributive pronoun and distributive adjective (determiner), in linguistics...
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  • properties of elements. Of operations: associative property commutative property of binary operations between real and complex numbers distributive property...
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  • Thumbnail for Intellectual property
    Intellectual property (IP) is a category of property that includes intangible creations of the human intellect. There are many types of intellectual property, and...
    98 KB (11,099 words) - 08:29, 2 April 2024
  • Möbius function. Completely multiplicative functions also satisfy a distributive law. If f is completely multiplicative then f ⋅ ( g ∗ h ) = ( f ⋅ g )...
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  • Thumbnail for Vieta's formulas
    +a_{0}={a_{2}}{(x-r_{1})(x-r_{2})}} Expand the right side using distributive property: a 2 x 2 + a 1 x + a 0 = a 2 ( x 2 − r 1 x − r 2 x + r 1 r 2 ) {\displaystyle...
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  • Thumbnail for FOIL method
    three applications of the distributive property. In contrast to the FOIL method, the method using distributivity can be applied easily to products with...
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  • the properties of the arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and...
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  • Distributive justice concerns the socially just allocation of resources, goods, opportunity in a society. It is concerned with how to allocate resources...
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  • equivalently A(u + v) = λ(u + v). This can be checked using the distributive property of matrix multiplication. Similarly, because E is a linear subspace...
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  • In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such...
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  • a power of 3 (exponent of 1/3) Properties of Operations Associative property Distributive property Commutative property Factorial – Multiplication of numbers...
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  • bumping into the number 10. The distributive property of multiplication and addition, plus the commutative property of multiplication are also briefly...
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  • generalization of the dot product formula to Riemannian manifolds is a defining property of a Riemannian connection, which differentiates a vector field to give...
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  • Thumbnail for Complex number
    to hold for complex numbers. More precisely, the distributive property, the commutative properties (of addition and multiplication) hold. Therefore,...
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  • as frames and completely distributive lattices, see distributivity in order theory. For some applications the distributivity condition is too strong,...
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  • Thumbnail for Multiplication
    y ⋅ z ) . {\displaystyle (x\cdot y)\cdot z=x\cdot (y\cdot z).} Distributive property Holds with respect to multiplication over addition. This identity...
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  • c+3c^{2}a+3c^{2}b+6abc.} This can be computed by hand using the distributive property of multiplication over addition, but it can also be done (perhaps...
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  • = A ∩ ( B ∩ C ) {\displaystyle (A\cap B)\cap C=A\cap (B\cap C)} Distributive property: A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) {\displaystyle A\cup (B\cap...
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  • (x\vee z)} such that one of these properties suffices to define distributivity for lattices. Typical examples of distributive lattice are totally ordered sets...
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  • Thumbnail for Addition
    enough to uniquely determine the multiplication operation. The distributive property also provides information about addition; by expanding the product...
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  • {r} _{2}+\mathbf {r} )\times \mathbf {F} _{2}+\cdots } Now the distributive property of the cross product implies M ′ = ( r 1 × F 1 + r 2 × F 2 + ⋯ )...
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  • Thumbnail for Associative property
    associative binary operation. Commutativity and distributivity are two other frequently discussed properties of binary operations. Power associativity, alternativity...
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  • Thumbnail for China National Intellectual Property Administration
    (2023). China in Global Governance of Intellectual Property: Implications for Global Distributive Justice. Palgrave Socio-Legal Studies series. Palgrave...
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  • Thumbnail for Mathematical proof
    definition of even integers, the integer properties of closure under addition and multiplication, and the distributive property. Despite its name, mathematical...
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  • The generalized distributive law (GDL) is a generalization of the distributive property which gives rise to a general message passing algorithm. It is...
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  • Thumbnail for Equations of motion
    although the Torricelli equation [4] can be derived using the distributive property of the dot product as follows: v 2 = v ⋅ v = ( v 0 + a t ) ⋅ ( v...
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  • Thumbnail for Commutative property
    natural numbers Quasi-commutative property Trace monoid Commuting probability Cabillón & Miller, Commutative and Distributive Flood, Raymond; Rice, Adrian;...
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  • Inverse function Commutative property, Anticommutative property, Associative property, Additive identity, Distributive property Summation, Product (mathematics)...
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