# 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 36 pages are in this category, out of 36 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 Matrix Entrywise 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