Category:Examples of Distributive Operations
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This category contains examples of Distributive Operation.
Let $S$ be a set on which is defined two binary operations, defined on all the elements of $S \times S$, which we will denote as $\circ$ and $*$.
The operation $\circ$ is distributive over $*$, or distributes over $*$, if and only if:
- $\circ$ is right distributive over $*$
and:
- $\circ$ is left distributive over $*$.
Subcategories
This category has the following 12 subcategories, out of 12 total.
Pages in category "Examples of Distributive Operations"
The following 35 pages are in this category, out of 35 total.
C
- Cartesian Product Distributes over Set Difference
- Cartesian Product Distributes over Union
- Class Intersection Distributes over Class Union
- Class Union Distributes over Class Intersection
- Complex Multiplication Distributes over Addition
- Composition of Mappings is Left Distributive over Homomorphism of Pointwise Operation
- Composition of Mappings is Right Distributive over Pointwise Operation
I
M
- Matrix Multiplication Distributes over Matrix Addition
- Matrix Scalar Product Distributes over Number Addition
- Matrix Scalar Product with Zero gives Zero Matrix
- Max and Min Operations are Distributive over Each Other
- Modulo Multiplication Distributes over Modulo Addition
- Multiplication of Cuts Distributes over Addition
- Multiplication of Numbers is Left Distributive over Addition
- Multiplication of Numbers is Right Distributive over Addition
- Multiplication of Polynomials Distributes over Addition
- Multiplication of Real Numbers is Left Distributive over Subtraction
- Multiplication of Real Numbers is Right Distributive over Subtraction