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The limits of mathematics in physics
AIP AdvancesMathematics is considered the language of physics. Starting from idealizations and kinematics, geometric-mathematical physics with paradigms such as flexible spacetime and dark energy has emerged whose physical reality has not been clarified. By analyzing processes regarding their causes and the functional dependencies of energies, this work identifies
Grit Kalies, Duong D. Do
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Journal of Mathematics Instruction, Social Research and OpinionThis study explores university students’ ways of thinking about the limit concept in differential calculus and uncovers how they construct the meaning of the limit definition through their reasoning.
Aditya Prihandika, Hanifah Nurus Sopiany
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The Limits of Mathematics---Extended Abstract
, 1994 We summarize four different versions of our course notes on the limits of mathematics.
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Non-Search Mathematical Programming Algorithm for Limit Analysis
, 2020 Haiyan Gao
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Limit theory of discrete mathematics problems
, 2015 We show a general problem-solving tool called limit theory. This is an advanced version of asymptotic analysis of discrete problems when some finite parameter tends to infinity. We will apply it on three closely related problems. Alpern's Caching Game (for 2 nuts) is defined as follows.
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The Limits of Mathematics---Tutorial Version
, 1995 The latest in a series of reports presenting the information-theoretic incompleteness theorems of algorithmic information theory via algorithms written in specially designed versions of LISP. Previously in this LISP code only one-character identifiers were allowed, and arithmetic had to be programmed out.
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The Limits of Mathematics---Fourth Version
, 1994 This is yet another version of the course notes in chao-dyn/9407003. Here we use m-expressions more aggressively to further reduce the constants in our information-theoretic incompleteness theorems. Our main theorems are: 1) an N-bit formal axiomatic system cannot enable one to exhibit any specific object with program-size complexity greater than N+c ...
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ON STATISTICALLY CONVERGENT IN FINITE DIMENSIONAL SPACES
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this paper, the notion of statistical convergence, which was introduced by Steinhaus (1951), was studied in Rm ; and some concepts and theorems, whose statistical correspondence for the real number sequences were given, were carried to Rm .
Ayşe Nur GÜNCAN
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