# Category:Algebra

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This category contains results about **Algebra**.

Definitions specific to this category can be found in Definitions/Algebra.

**Algebra** is the branch of mathematics which studies the techniques of manipulation of objects and expressions.

## Subcategories

This category has the following 120 subcategories, out of 120 total.

### A

- Abel's Lemma (13 P)
- Absolute Numbers (1 P)
- Arbitrary Constants (2 P)
- Aurifeuillian Factorizations (3 P)

### B

- Bound Variables (5 P)

### C

- Chebyshev's Sum Inequality (8 P)
- Cube Function (1 P)

### D

- Derived Equations (empty)
- Difference of Two Squares (8 P)
- Double Factorials (1 P)

### E

### F

- Formal Calculation (empty)
- Free Variables (4 P)
- Fundamental Theorem of Algebra (10 P)

### G

### H

- Harmonic Sequences (1 P)
- Homogeneous Functions (1 P)
- Hölder Mean (8 P)

### I

- Increments (empty)

### L

- Linear Equations (empty)

### M

- Multinomial Coefficients (2 P)

### N

- Nesbitt's Inequality (3 P)
- Nicomachus's Theorem (3 P)

### P

### Q

### R

- Reflection Formulas (8 P)

### S

- Sign of Permutation (3 P)
- Square of Difference (4 P)
- Square of Sum (4 P)
- Square of Sum less Square (4 P)
- Square of Sum with Double (4 P)

### T

### U

### V

### W

- Weighted Means (1 P)

## Pages in category "Algebra"

The following 61 pages are in this category, out of 61 total.

### A

### C

### D

### F

### M

### P

### R

### S

- Schur's Inequality
- Square of Sum less Square
- Square of Sum with Double
- Square Root of Sum as Sum of Square Roots
- Subtraction of Divisors obeys Distributive Law
- Subtraction of Multiples of Divisors obeys Distributive Law
- Sum Less Maximum is Minimum
- Sum Less Minimum is Maximum
- Sum of Cubes of Three Indeterminates Minus 3 Times their Product
- Sum of Maximum and Minimum
- Sum of Square Roots as Square Root of Sum
- Sum of Squares as Product of Factors with Square Roots
- Sum of Squares of Sum and Difference
- Sum of Two Cubes in Complex Domain
- Sum of Two Odd Powers