# Category:Mathematical fact

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## Pages in category "Mathematical fact"

The following 108 pages are in this category, out of 108 total.

### C

- Compact interval/Real function/Riemann integrable on partition/Fact
- Complex Conjugation/Rules/Fact
- Complex numbers/Conjugation/Real part imaginary part/Fact
- Complex numbers/Field/Fact
- Complex numbers/Modulus/Rules/Fact
- Complex numbers/Real and imaginary part/Properties/Fact
- Continuous Function/Primitive function exists/Fact
- Continuous function/R/Intermediate value theorem/0-version/Fact
- Continuous function/R/Intermediate value theorem/Fact
- Convergent power series/R/Primitive function/Fact
- Convergent power series/R/Taylor series/Coincidence/Fact

### D

- Differentiable function/D in R/Chain rule/Fact
- Differentiable function/D in R/Continuity in point/Fact
- Differentiable function/D in R/Inverse function/Fact
- Differentiable function/D in R/Linear approximation/Fact
- Differentiable function/D in R/Rules/Fact
- Differentiable function/D open in K/Chain rule/Fact
- Differentiable function/D open in K/Rules/Fact
- Differentiable functions/Mean value theorem/Fact

### E

### F

### H

### I

### M

### N

### O

### P

- Polynomial function/Function behavior from differentiability/Fact
- Polynomial function/R/Continuous/Fact
- Polynomial ring/Field/One variable/Euclidean division/Fact
- Polynomial ring/Field/Zero/Linear factor/Fact
- Polynomial ring/Field/Zeroes/Number/Fact
- Polynomial/K/Interpolation/Fact
- Power function/Positive base/Real exponent/Fact
- Prime factorization/Existence/Fact
- Prime numbers/Infinity/Fact
- Primitive function/Inverse function/Fact

### R

- Rational function/R/Continuous/Fact
- Real cosine function/One zero between 0 and 2/Fact
- Real exponential function/Base/Derivative/Fact
- Real exponential function/Base/Properties/Fact
- Real exponential function/Continuity and image/Fact
- Real exponential function/Derivative/Fact
- Real Function/Continuity in a point/Characterization/Fact
- Real Function/Continuous/Addition, multiplication, inverting/Fact
- Real Function/Continuous/Composition/Fact
- Real function/Derivative zero/Constant/Fact
- Real function/Derivative/Monotonicity/Fact
- Real function/Extrema/Higher derivatives/Fact
- Real function/Extrema/Second derivative/Fact
- Real function/Local extremum/Differentiable/Derivative zero/Fact
- Real function/Open interval/Local extrema/Differentiable/Derivative zero/Fact
- Real function/Taylor formula/(n+1)-times continuously differentiable/Estimate for error/Fact
- Real function/Taylor formula/(n+1)-times continuously differentiable/Lagrange/Fact
- Real function/Theorem of Rolle/Fact
- Real numbers/Bernoulli's inequality/Fact
- Real numbers/Bounded monotonic increasing sequence/Cauchy sequence/Fact
- Real numbers/Bounded subset has supremum/Fact
- Real numbers/Convergent sequence/Bounded/Fact
- Real numbers/Convergent sequence/Cauchy sequence/Fact
- Real numbers/Convergent sequences/Compare/Fact
- Real numbers/Convergent sequences/Rules/Fact
- Real numbers/Modulus/Properties/Fact
- Real numbers/Ordering axioms/Archimedean/Implications/Fact
- Real numbers/Sequence/Unique limit/Fact
- Real numbers/Sequences/Squeeze criterion/Fact
- Real numbers/Series converges/Summands/Null sequence/Fact
- Real numbers/Series/Cauchy-criterion/Fact
- Real numbers/Series/Rules/Fact
- Real power series/Convergence/Continuous function/Fact
- Real power series/Derivative by formal derivative/Fact
- Real power series/Infinitely often differentiable/Fact
- Real series/Absolute convergence and convergence/Fact
- Real series/Cauchy-product/Absolute convergence/Fact
- Real series/Direct comparison test/Fact
- Real series/Ratio test/Fact
- Real sine and cosine function/Derivative/Fact
- Riemann integrability/Elementary properties/Fact
- Riemann integral/Step functions with equal limit/Integral/Fact