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1. Continuous function: Continuity of functions is a concept central to calculus, advanced calculus and topology. Put simply, a mathematical function is continuous if its graph can be drawn without lifting the pen from the paper. [100%] 2023-02-09 [Mathematics] [Topology]...
2. Continuous function: In mathematics, a continuous function is a function such that a continuous variation (that is, a change without jump) of the argument induces a continuous variation of the value of the function. This means there are no abrupt changes in ... (Mathematical function with no sudden changes) [100%] 2023-11-25 [Theory of continuous functions] [Calculus]...
3. Continuous function: A basic concept in mathematical analysis. Let be a real-valued function defined on a subset of the real numbers , that is,. (Mathematics) [100%] 2023-10-26
4. Continuous functional: A continuous operator (continuous mapping) mapping a topological space $X$, which as a rule is also a vector space, into $\mathbf{R}$ or $\mathbf{C}$. Therefore, the definition of, and criteria for, continuity of an arbitrary operator continue to hold ... (Mathematics) [95%] 2023-11-25
5. Continuous functions, space of: A normed space of bounded continuous functions on a topological space with the norm . Convergence of a sequence in means uniform convergence. (Mathematics) [90%] 2023-10-17
6. Continuum function: In mathematics, the continuum function is \displaystyle{ \kappa\mapsto 2^\kappa }[/math], i.e. raising 2 to the power of κ using cardinal exponentiation. [87%] 2024-05-21 [Cardinal numbers]
7. Function theory: A branch of mathematics in which one studies the general properties of functions (cf. Function). (Mathematics) [85%] 2023-10-18
8. Continuous revolution theory: The Continuous Revolution Theory (sometimes also translated as the theory of continuing revolution under the dictatorship of the proletariat) is an important element of the thought of Mao Zedong. This is often subsumed under the subject of the Cultural Revolution ... (Element of Mao Zedong Thought) [82%] 2023-04-09 [Cultural Revolution] [Maoist terminology]...
9. CONTINUOUS: 『CONTINUOUS』（コンティニュース）は、柿原徹也の2枚目のミニアルバム。2012年2月15日にKiramuneから発売された。 自身2枚目となるミニアルバム。豪華盤と通常盤の2種リリースであり、前者には、「Chaos Breaker」のPV、メイキング映像を収録したDVD、豪華盤、通常盤の両盤には柿原直筆のメッセージカードが同梱されている。 本作のコンセプトは、「1曲ごとの物語を冒険書のように紡ぐ」である。 DVD（豪華盤のみ）. [81%] 2023-11-24 [柿原徹也のミニ・アルバム] [2012年のミニ・アルバム]...
10. Quasi-continuous function: In mathematics, the notion of a quasi-continuous function is similar to, but weaker than, the notion of a continuous function. All continuous functions are quasi-continuous but the converse is not true in general. [81%] 2023-11-24 [Calculus]
11. Nowhere continuous function: In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If \displaystyle{ f }[/math] is a function from real numbers to real numbers, then \displaystyle ... (Function which is not continuous at any point of its domain) [81%] 2023-11-24 [Mathematical analysis] [Topology]...
12. Continuous Function Chart: A Continuous Function Chart (CFC) is a graphic editor that can be used in conjunction with the STEP 7 software package or with other tools, such as CODESYS. It is used to create the entire software structure of the CPU ... (Software) [81%] 2023-11-24 [Graphics software]
13. Graph continuous function: In mathematics, and in particular the study of game theory, a function is graph continuous if it exhibits the following properties. The concept was originally defined by Partha Dasgupta and Eric Maskin in 1986 and is a version of continuity ... (Concept in game theory) [81%] 2023-11-24 [Game theory]
14. Continuous Function Chart: A Continuous Function Chart (CFC) is a graphic editor that can be used in conjunction with the STEP 7 software package or with other tools, such as CODESYS. It is used to create the entire software structure of the CPU ... [81%] 2023-11-24 [Graphics software]
15. Piecewise Continuous function: A piecewise continuous function f is a function whose domain can be divided into a countable number of pieces, and the restriction of f on each piece is a continuous function. Piecewise continuous functions are interesting because Fourier series works ... [81%] 2023-06-22 [Mathematics]
16. Symmetrically continuous function: In mathematics, a function \displaystyle{ f: \mathbb{R} \to \mathbb{R} }[/math] is symmetrically continuous at a point x if The usual definition of continuity implies symmetric continuity, but the converse is not true. For example, the function \displaystyle{ x ... [81%] 2023-11-25 [Differential calculus] [Types of functions]...
17. Cauchy-continuous function: In mathematics, a Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions have the useful property that they can always be (uniquely) extended to the Cauchy ... [81%] 2024-04-24 [Topology] [Types of functions]...
18. Constructive theory of functions: A concept introduced by S.N. Bernshtein, who called the constructive theory of functions "a branch of the theory of functions aiming at a most simple and convenient foundation for the qualitative study and computation both of empirical functions as ... (Mathematics) [80%] 2023-09-16
19. Metric theory of functions: The branch of the theory of functions of a real variable (cf. Functions of a real variable, theory of) in which properties of functions are studied on the basis of the idea of the measure of a set. (Mathematics) [80%] 2023-04-18
20. Continuous functional calculus: In mathematics, particularly in operator theory and C*-algebra theory, a continuous functional calculus is a functional calculus which allows the application of a continuous function to normal elements of a C*-algebra. Theorem. (Branch of functional analysis) [77%] 2023-11-27 [Theory of continuous functions] [C*-algebras]...