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pro vyhledávání: '"Bradford, Kyle"'
Autor:
Bradford, Kyle
This paper makes the following conjecture: For every prime $p$ there exists a positive integer $x$ with $\left\lceil \frac{p}{4} \right\rceil \leq x \leq \left\lceil \frac{p}{2} \right\rceil$ and a positive divisor $d|x^2$ so that either: (1) $ d \bm
Externí odkaz:
http://arxiv.org/abs/2403.16047
Autor:
Bradford, Kyle
This paper is a preliminary expository paper that outlines the relationship between solutions to the Erd\H{o}s-Straus conjecture for a given prime $p$ and their corresponding Pythagorean triples. This paper also uses B\'{e}zout Coefficients to find a
Externí odkaz:
http://arxiv.org/abs/2107.05400
Autor:
Bradford, Kyle
This paper makes a fundamental assertion about the Erd\H{o}s-Straus conjecture. Suppose that for a prime $p$ there exists $x,y,z \in \mathbb{N}$ with $x \leq y \leq z$ so that $$ \frac{4}{p} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z}. $$ The main cont
Externí odkaz:
http://arxiv.org/abs/1906.00561
Autor:
Bradford, Kyle
This paper continues the discussion on the stability of time-inhomogeneous Markov chains. In particular, this paper defines a time-inhomogeneous, discrete-time Markov chain governed by a continuous evolution in the appropriate martrix space. This mat
Externí odkaz:
http://arxiv.org/abs/1507.06085
Autor:
Bradford, Kyle, Ionascu, Eugen
In this paper we will explore the solutions to the diophantine equation in the Erd\H{o}s-Straus conjecture. For a prime $p$ we are discussing the relationship between the values $x,y,z \in \mathbb{N}$ so that $$ \frac{4}{p} = \frac{1}{x} + \frac{1}{y
Externí odkaz:
http://arxiv.org/abs/1411.3403
Autor:
Bradford, Kyle, Ionascu, Eugen J.
In this paper we make a Gaussian integer version of the Erd\H{o}s-Straus conjecture and we solve the Erd\H{o}s-Straus diophantine equation over the rings of integers of norm-Euclidean quadratic fields.
Externí odkaz:
http://arxiv.org/abs/1405.4025
In this paper we continue our work on adiabatic time of time-inhomogeneous Markov chains first introduced in Kovchegov (2010) and Bradford and Kovchegov (2011). Our study is an analog to the well-known Quantum Adiabatic (QA) theorem which characteriz
Externí odkaz:
http://arxiv.org/abs/1207.4733
Autor:
Bradford, Kyle, Kovchegov, Yevgeniy
We state and prove a generalized adiabatic theorem for Markov chains and provide examples and applications related to Glauber dynamics of Ising model over Z^d/nZ^d. The theorems derived in this paper describe a type of adiabatic dynamics for l^1(R_+^
Externí odkaz:
http://arxiv.org/abs/1008.1824
Akademický článek
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Publikováno v:
2018 34th Thermal Measurement, Modeling & Management Symposium (SEMI-THERM).
A classical heatsink design approach entails an assumption of the heatsink area extending fin topology followed by a parametric optimisation to maximize thermal performance and potentially minimise mass. This paper presents an alternative approach wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bac7acb0165632bfbab85c5bf1b9d8b
https://doi.org/10.1109/semi-therm.2018.8357379
https://doi.org/10.1109/semi-therm.2018.8357379
