Category:Continuous Real Functions
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This category contains results about 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 14 subcategories, out of 14 total.
Pages in category "Continuous Real Functions"
The following 37 pages are in this category, out of 37 total.
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- 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 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