# Category:Distributive Operations

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This category contains results about Distributive Operations.

Definitions specific to this category can be found in Definitions/Distributive Operations.

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.

### D

### G

### I

### M

### R

### U

## Pages in category "Distributive Operations"

The following 41 pages are in this category, out of 41 total.

### C

### E

### I

### L

### 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 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