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检索条件"主题词=Intermediate value theorem"
60 条 记 录,以下是1-10 订阅
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An infinite dimensional version of the intermediate value theorem
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JOURNAL OF FIXED POINT THEORY AND APPLICATIONS 2023年 第3期25卷 1-25页
作者: Benevieri, Pierluigi Calamai, Alessandro Furi, Massimo Pera, Maria Patrizia Univ Sao Paulo Inst Matemat & Estat Rua Matao 1010 BR-05508090 Sao Paulo SP Brazil Univ Politecn Marche Dipartimento Ingn Civile Edile & Architettura Via Brecce Bianche I-60131 Ancona Italy Univ Firenze Dipartimento Matemat & Informat Ulisse Dini Via S Marta 3 I-50139 Florence Italy
Let f = I - k be a compact vector field of class C1 on a real Hilbert space H. In the spirit of Bolzano's theorem on the existence of zeros in a bounded real interval, as well as the extensions due to Cauchy (in R... 详细信息
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Connecting algorithmics to mathematics learning: a design study of the intermediate value theorem and the bisection algorithm
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EDUCATIONAL STUDIES IN MATHEMATICS 2023年 第2期112卷 225-245页
作者: Lagrange, Jean-Baptiste Laval, Dominique Univ Paris Cite Lab Didact Andre Revuz LDAR Paris France CY Cergy Paris Univ INSPE Acad Versailles Versailles France
Programming-based activities are becoming more widespread in curricula. Our theoretical and empirical investigation seeks to identify appropriate ways to connect computer programming and algorithmics to mathematical l... 详细信息
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A Weaker Smoothness Criterion for the Inverse Function theorem, the intermediate value theorem, and the Mean value theorem in a non-Archimedean Setting
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P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS 2022年 第SUPPL 1期14卷 S45-S58页
作者: Shamseddine, K. Shalev, A. Univ Manitoba Dept Phys & Astron Winnipeg MB R3T 2N2 Canada Univ Manitoba Dept Math Winnipeg MB R3T 2N2 Canada
We introduce a class of so-called very weakly locally uniformly differentiable (VWLUD) functions at a point of a general non-Archimedean ordered field extension of the real numbers, N, which is real closed and Cauchy ... 详细信息
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Modes of Continuity in Diagram for intermediate value theorem  11th
Modes of Continuity in Diagram for Intermediate Value Theore...
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11th International Conference on the Theory and Application of Diagrams (Diagrams)
作者: Blaszczyk, Piotr Fila, Marlena Pedag Univ Cracow Inst Math Podchorazych 2 Krakow Poland
In the ongoing debate over the role of a diagram in the proof of the intermediate value theorem (IVT), Brown's [d] takes a clear position: a diagram does constitute proof of IVT. Giaquinto's [1 points out that... 详细信息
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Teaching the Representations of Concepts in Calculus: The Case of the intermediate value theorem
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PRIMUS 2020年 第2期30卷 191-210页
作者: David, Erika J. Hah Roh, Kyeong Sellers, Morgan E. University of Dallas in Irving TX United States Arizona State University Tempe AZ United States North Carolina State University United States
This paper offers instructional interventions designed to support undergraduate math students’ understanding of two forms of representations of Calculus concepts, mathematical language and graphs. We first discuss is... 详细信息
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A Fixed Point theorem, intermediate value theorem, and Nested Interval Property
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ANALYSIS MATHEMATICA 2019年 第2期45卷 443-447页
作者: Wu, Z. Xian Jiaotong Liverpool Univ Dept Math Sci 111 Ren Ai Rd Suzhou 215123 Jiangsu Peoples R China
For a continuous function f : [a, b] R, we prove that f has a fixed point if and only if the intervals [a(0), b(0)]:= [a, b] and [a(n), b(n)]:= [a(n-1), b(n-1)] f([a(n-1), b(n-1)]) (n = 1, 2, ) are all nonempty. More ... 详细信息
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On an intermediate value theorem for polynomials and power series over a valued field
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COMMUNICATIONS IN ALGEBRA 2017年 第10期45卷 4528-4541页
作者: Massaza, Carla Terracini, Lea Valabrega, Paolo Politecn Torino Turin Italy Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy
The paper proves an intermediate value theorem for polynomials and power series over a valued field with an additive divisible valuation group and infinite residue field. A deeper description of the behavior of the va... 详细信息
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An intermediate value theorem for the Decycling Numbers of Toeplitz Graphs
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GRAPHS AND COMBINATORICS 2015年 第6期31卷 2037-2042页
作者: Bau, Sheng van Niekerk, Benjamin White, David Univ Witwatersrand Sch Math Johannesburg South Africa Inner Mongolia Univ Nationalities Inst Discrete Math Tongliao Peoples R China
In this paper we obtain an intermediate value theorem for the decycling numbers of Toeplitz graphs: if n = 3, and 0 = r = n -2, then there exists a Toeplitz graph of order n with decycling number r. We also prove that... 详细信息
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Strengthening Student Understanding of Mathematical Language Through Verbal and Written Representations of the intermediate value theorem
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PRIMUS 2014年 第2期24卷 175-190页
作者: Sealey, Vicki Deshler, Jessica M. Hazen, Kirk Department of Mathematics West Virginia University United States West Virginia University United States
As part of a larger research study, this paper describes calculus students' reasoning about the intermediate value theorem (IVT) in verbal, written, and graphical form. During interviews, students were asked to ve... 详细信息
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THE CONVERSE OF THE intermediate value theorem: FROM CONWAY TO CANTOR TO COSETS AND BEYOND
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MISSOURI JOURNAL OF MATHEMATICAL SCIENCES 2014年 第2期26卷 134-150页
作者: Oman, Greg Univ Colorado Dept Math Colorado Springs CO 80918 USA
The classical intermediate value theorem (IVT) states that if f is a continuous real-valued function on an interval [a, b] subset of R and if y is a real number strictly between f (a) and f (b), then there exists a re... 详细信息
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