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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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A pathway-based mean-field model for E. coli chemotaxis: Mathematical derivation and Keller-Segel limit [PDF]
, 2013 Guangwei Si, Min Tang, Xu Yang
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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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Finding finite sums, products, and limits of some numerical sequences. Part 2. Application of methods of higher mathematics. Finding sums of series [PDF]
, 2021 Valerii O. Bilyi, Oleksandr G. Bilyi
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Mathematical descriptions of nematic polymers in the monolayer limit
, 2019 Joohee Lee
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