# Category:Mathematical definition

## Pages in category "Mathematical definition"

The following 163 pages are in this category, out of 163 total.

### B

- Binary operation/Definition
- Binomial coefficient/Definition
- Bounded interval/Real function/Lower integral as supremum of step integrals from below/Definition
- Bounded interval/Real Function/Step integral from above/Definition
- Bounded interval/Real Function/Step integral from below/Definition
- Bounded interval/Real function/Upper integral as infimum of step integrals from above/Definition
- Bounded interval/Step function/Step integral/Definition

### C

- Collatz recursion/Sequence/Definition
- Commutative ring/Ideal/Superheight/Definition
- Commutative ring/Positive characteristic/Hilbert-Kunz function/Definition
- Commutative ring/Positive characteristic/Hilbert-Kunz multiplicity/Definition
- Compact interval/Real function/Riemann integrable via step functions/Definition
- Compact interval/Riemann integrable/Definite integral/Definition
- Complex numbers/Complex conjugation/Definition
- Complex numbers/Modulus/Definition
- Complex numbers/Pairs/Definition
- Complex numbers/Real and imaginary part/Definition
- Continuously differentiable/R/Definition
- Cosine series and sine series/R/Definition

### D

### E

### F

### H

### I

### L

- Linear mapping/Diagonalizable/Eigenvectors/Definition
- Linear mapping/Eigenspace/Definition
- Linear mapping/Eigenvalue/Definition
- Linear mapping/Eigenvector/Definition
- Linear mapping/Field/Definition
- Linear mapping/Kernel/Definition
- Linear mapping/Matrix to basis and reverse/Definition
- Linear mapping/On finite dimensional space/Rank/Definition
- Linear mapping/Trigonalizable/Via upper triangular form/Definition
- Logarithm/Base/Via fraction/Definition

### M

- Mapping/Bijective/Definition
- Mapping/Bijective/Inverse mapping/Definition
- Mapping/Composition/Definition
- Mapping/Definition
- Mapping/Fixed point/Definition
- Mapping/Graph/Definition
- Mapping/Image/Definition
- Mapping/In itself/Fix point/Definition
- Mapping/Injective/Definition
- Mapping/Surjective/Definition
- Matrix multiplication/Definition
- Matrix/Column rank/Definition
- Matrix/Field/Characteristic polynomial/Definition
- Matrix/IxJ/nxm/Definition
- Matrix/K/Transposed matrix/Definition
- Matrix/Similarity/Definition

### N

### O

### P

### R

- R to R/Even and odd function/Definition
- R to R/Even function/Definition
- R to R/Odd function/Definition
- R to R/Periodic function/Definition
- Rational function/Real/Definition
- Real exponential function/Base/Via logarithm/Definition
- Real exponential function/Via series/Definition
- Real function/Continuity in a Point/General/Definition
- Real function/Decreasing/Definition
- Real function/Derivative function/Definition
- Real function/Higher derivative/Recursive/Definition
- Real function/Increasing and decreasing/Definition
- Real function/Increasing/Definition
- Real function/Local maximum and minimum/Definition
- Real Function/Secant/As line/Definition
- Real function/Strictly decreasing/Definition
- Real function/Strictly increasing/Definition
- Real interval/Interior/Definition
- Real numbers/Arithmetic mean/Definition
- Real numbers/Bounded/Definition
- Real numbers/Cauchy sequence/Definition
- Real numbers/Completeness/Axiom
- Real numbers/Floor/Definition
- Real numbers/Geometric mean/Definition
- Real numbers/Heron/s method/Heron sequence/Definition
- Real numbers/Intervals/Definition
- Real numbers/Modulus/Definition
- Real numbers/Nested intervals/Definition
- Real numbers/Power series/Definition
- Real numbers/Sequence/Definition
- Real numbers/Sequence/Increasing and decreasing/Definition
- Real numbers/Sequence/Limit and convergence/Definition
- Real numbers/Sequence/Tending to infinity/Definition
- Real numbers/Series/Definition
- Real numbers/Subsequence/Definition
- Real numbers/Subset/Infimum/Definition
- Real numbers/Subset/Supremum/Definition
- Real sequence/Decreasing/Definition
- Real sequence/Increasing/Definition
- Real sequence/Tending to infinity/+/Definition
- Real sequence/Tending to infinity/-/Definition
- Real series/Absolute convergence/Definition
- Real series/Cauchy-product/Definition
- Real series/Reordering/Definition
- Realvalued function/Set/Maximum and minimum/Definition
- Realvalued function/Set/Maximum/Definition
- Realvalued function/Set/Minimum/Definition
- Riemann integrable function/Integral function/Definition
- R^2/Circle/Circumference/Definition
- R^2/Rotation/Definition

### S

- Scheme/Geometric vector bundle/As scheme/Definition
- Scheme/Locally free sheaf/Definition
- Set theory/Empty set/Definition
- Set theory/Subset/Definition
- Smooth projective curve/Locally free sheaf/Degree/Definition
- System of linear equations/Set of variables/Equivalent system/Definition
- System of linear equations/Set of variables/Homogeneous and inhomogeneous/Definition

### T

- Tangent and cotangent/Real/Definition
- Tight closure/Ideal/Domain/Definition
- Trigonometric function/Arccotangent/Definition
- Trigonometric functions/Arccosine/Definition
- Trigonometric functions/Arcsine/Definition
- Trigonometric functions/Arctangent/Definition
- Two sets/Intersection/Definition
- Two sets/Union/Definition

### V

- Vector bundle/Smooth projective curve/Semistable and strongly semistable/Definition
- Vector bundle/Torsor/Definition
- Vector space/Basis/Definition
- Vector space/Direct/Definition
- Vector space/Finitely generated/Dimension/Definition
- Vector space/Generating system/Definition
- Vector space/Linear combination/Definition
- Vector space/Linear subspace/Closed/Definition
- Vector space/Linearly independent/Finite index set/Definition
- Vector space/Spanned linear subspace/Definition