Category:Continuous Real Functions
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This category contains results about Continuous Real Functions.
Definitions specific to this category can be found in Definitions/Continuous Real Functions.
The concept of continuity makes precise the intuitive notion that a function has no "jumps" or "holes" at a given point.
Loosely speaking, a real function $f$ is continuous at a point $p$ if and only if the graph of $f$ does not have a "break" at $p$.
Subcategories
This category has the following 16 subcategories, out of 16 total.
Pages in category "Continuous Real Functions"
The following 43 pages are in this category, out of 43 total.
A
C
- Combination Theorem for Continuous Functions/Real
- Combination Theorem for Continuous Real Functions
- Composite of Continuous Mappings is Continuous/Corollary
- Concave Real Function is Continuous
- Constant Function is Continuous/Real Function
- Constant Real Function is Continuous
- Continuous Function is not necessarily Differentiable
- Continuous Function on Closed Real Interval is Uniformly Continuous
- Continuous Real Function is Darboux Integrable
- Continuous Real Function on Closed Interval is Bijective iff Strictly Monotone
- Convex Real Function is Continuous
E
L
M
R
- Real Elementary Functions are Continuous
- Real Exponential Function is Continuous
- Real Logarithm Function is Continuous
- Real Natural Logarithm Function is Continuous
- Real Polynomial Function is Continuous
- Real Power Function for Positive Integer Power is Continuous
- Real Rational Function is Continuous
- Real Trigonometric Functions are Continuous
- Right-Hand Differentiable Function is Right-Continuous
- Rolle's Theorem