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2020

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Full-Text Articles in Physical Sciences and Mathematics

A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables, Irfan Alam Dec 2020

A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables, Irfan Alam

Journal of Stochastic Analysis

No abstract provided.


L_P_ Approximation By Relu Neural Networks, Eman Samir Bhaya, Zainab Abdulmunim Sharba Dec 2020

L_P_ Approximation By Relu Neural Networks, Eman Samir Bhaya, Zainab Abdulmunim Sharba

Karbala International Journal of Modern Science

We know that we can use the neural networks for the approximation of functions for many types of activation functions. Here, we treat only neural networks with simple and particular activation function called rectified linear units (ReLU). The main aim of this paper is to introduce a type of constructive universal approximation theorem and estimate the error of the universal approximation. We will obtain optimal approximation if we have a basis independent of the target function. We prove a type of Debao Chen's theorem for approximation.


The Boundedness Of General Alternative Singular Integrals With Respect To The Gaussian Measure, Eduard Navas, Ebner Pineda, Wilfredo O. Urbina Dec 2020

The Boundedness Of General Alternative Singular Integrals With Respect To The Gaussian Measure, Eduard Navas, Ebner Pineda, Wilfredo O. Urbina

Journal of Stochastic Analysis

No abstract provided.


Martingales And Cocycles In Quantum Probability, Kalyan B. Sinha Dec 2020

Martingales And Cocycles In Quantum Probability, Kalyan B. Sinha

Journal of Stochastic Analysis

No abstract provided.


Rényi Entropy On C*-Algebras, Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe Dec 2020

Rényi Entropy On C*-Algebras, Farrukh Mukhamedov, Kyouhei Ohmura, Noboru Watanabe

Journal of Stochastic Analysis

No abstract provided.


R(P,Q) Analogs Of Discrete Distributions: General Formalism And Applications, Mahouton Norbert Hounkonnou, Fridolin Melong Dec 2020

R(P,Q) Analogs Of Discrete Distributions: General Formalism And Applications, Mahouton Norbert Hounkonnou, Fridolin Melong

Journal of Stochastic Analysis

No abstract provided.


The Yang-Mills Heat Equation On Three-Manifolds With Boundary, Nelia Charalambous Dec 2020

The Yang-Mills Heat Equation On Three-Manifolds With Boundary, Nelia Charalambous

Journal of Stochastic Analysis

No abstract provided.


Emergence Of Quantum Theories From Classical Probability: Historical Origins, Developments, And Open Problems, Luigi Accardi, Yun-Gang Lu Dec 2020

Emergence Of Quantum Theories From Classical Probability: Historical Origins, Developments, And Open Problems, Luigi Accardi, Yun-Gang Lu

Journal of Stochastic Analysis

No abstract provided.


An Asymptotic Formula For Integrals Of Products Of Jacobi Polynomials, Maxim Derevyagin, Nicholas Juricic Dec 2020

An Asymptotic Formula For Integrals Of Products Of Jacobi Polynomials, Maxim Derevyagin, Nicholas Juricic

Journal of Stochastic Analysis

No abstract provided.


Covariant Quantum White Noise From Light-Like Quantum Fields, Radhakrishnan Balu Nov 2020

Covariant Quantum White Noise From Light-Like Quantum Fields, Radhakrishnan Balu

Journal of Stochastic Analysis

No abstract provided.


Deformed Gaussian Operators On Weighted Q-Fock Spaces, Nobuhiro Asai, Hiroaki Yoshida Nov 2020

Deformed Gaussian Operators On Weighted Q-Fock Spaces, Nobuhiro Asai, Hiroaki Yoshida

Journal of Stochastic Analysis

No abstract provided.


Subproduct Systems And Cartesian Systems: New Results On Factorial Languages And Their Relations With Other Areas, Malte Gerhold, Michael Skeide Nov 2020

Subproduct Systems And Cartesian Systems: New Results On Factorial Languages And Their Relations With Other Areas, Malte Gerhold, Michael Skeide

Journal of Stochastic Analysis

No abstract provided.


An Analysis Of Preservice Elementary Teachers’ Professional Noticing Skills In A Mathematics Education Setting, Liza Bondurant, Lisa Poling, Diana Moss Nov 2020

An Analysis Of Preservice Elementary Teachers’ Professional Noticing Skills In A Mathematics Education Setting, Liza Bondurant, Lisa Poling, Diana Moss

Journal of Practitioner Research

Prospective elementary mathematics teachers (PTs) were asked to analyze 28 videos of cognitive interviews. The purpose of this study was to determine if experiences analyzing videos would lead to improvements in PTs’ professional noticing skills. Using a coding schema that reflected three levels of understanding (periphery, transitional, and accomplished), a frequency table was constructed that allowed PTs’ use and understanding of a noticing framework to be analyzed. Findings indicate that experiences analyzing videos leads to improvements in PTs’ professional noticing skills.


The Name Tag Problem, Christian Carley Nov 2020

The Name Tag Problem, Christian Carley

Rose-Hulman Undergraduate Mathematics Journal

The Name Tag Problem is a thought experiment that, when formalized, serves as an introduction to the concept of an orthomorphism of $\Zn$. Orthomorphisms are a type of group permutation and their graphs are used to construct mutually orthogonal Latin squares, affine planes and other objects. This paper walks through the formalization of the Name Tag Problem and its linear solutions, which center around modular arithmetic. The characterization of which linear mappings give rise to these solutions developed in this paper can be used to calculate the exact number of linear orthomorphisms for any additive group Z/nZ, which is demonstrated …


On The Equitable Total (𝑘+1)-Coloring Of 𝑘-Regular Graphs, Bryson Stemock Nov 2020

On The Equitable Total (𝑘+1)-Coloring Of 𝑘-Regular Graphs, Bryson Stemock

Rose-Hulman Undergraduate Mathematics Journal

A graph is considered to be totally colored when one color is assigned to each vertex and to each edge so that no adjacent or incident vertices or edges bear the same color. The \textit{total chromatic number} of a graph is the least number of colors required to totally color a graph. This paper focuses on $k$-regular graphs, whose symmetry and regularity allow for a closer look at general total coloring strategies. Such graphs include the previously defined M\"obius ladder, which has a total chromatic number of 5, as well as the newly defined bird's nest, which is shown to …


Hamming Codes, Steve Mwangi, Sterling Quinn Nov 2020

Hamming Codes, Steve Mwangi, Sterling Quinn

Access*: Interdisciplinary Journal of Student Research and Scholarship

We will be looking into the application of Matrix Algebra in forming Hamming Codes. Hamming Codes are essential not just in the detection of errors, but also in the linear concurrent correction of these errors. The matrices we will use, will have entries that are binary units. Binary units are mathematically convenient, and their simplicity permits the representation of many open and closed circuits used in communication systems. The entries in the matrices will represent a message that is meant for transmission or reception, akin to the contemporary application of Hamming Codes in wireless communication. We will use Hamming (7,4) …


Quantum Markov Chains Associated With Unitary Quantum Walks, Chul Ki Ko, Hyun Jae Yoo Nov 2020

Quantum Markov Chains Associated With Unitary Quantum Walks, Chul Ki Ko, Hyun Jae Yoo

Journal of Stochastic Analysis

No abstract provided.


Invariant Projections For Covariant Quantum Markov Semigroups, Franco Fagnola, Emanuela Sasso, Veronica Umanità Nov 2020

Invariant Projections For Covariant Quantum Markov Semigroups, Franco Fagnola, Emanuela Sasso, Veronica Umanità

Journal of Stochastic Analysis

No abstract provided.


Pauli Matrices: A Triple Of Accardi Complementary Observables, Stephen Bruce Sontz Nov 2020

Pauli Matrices: A Triple Of Accardi Complementary Observables, Stephen Bruce Sontz

Journal of Stochastic Analysis

No abstract provided.


Preface, Julius Esunge, Brian C. Hall, Ambar N. Sengupta, Aurel Stan Nov 2020

Preface, Julius Esunge, Brian C. Hall, Ambar N. Sengupta, Aurel Stan

Journal of Stochastic Analysis

No abstract provided.


Spatial Training And Calculus Ability: Investigating Impacts On Student Performance And Cognitive Style, Lindsay J. Mccunn, Emily Cilli-Turner Oct 2020

Spatial Training And Calculus Ability: Investigating Impacts On Student Performance And Cognitive Style, Lindsay J. Mccunn, Emily Cilli-Turner

Journal of Educational Research and Practice

Undergraduate calculus is a foundational mathematics sequence that previews the sophistication students will need to succeed in higher-level courses. However, students often struggle with concepts in calculus because they are more abstract and visual than those in other foundational mathematics courses. Additionally, women continue to be underrepresented in the STEM fields. This study builds on previous work indicating a malleability in spatial ability by testing whether improvement occurs in students’ spatial and mathematics ability after implementing spatial training in calculus courses. The researchers also measured associations between spatial training and self-reported cognitive style. While spatial training did not significantly improve …


Mathematical Modeling Of Nonlinear Problem Biological Population In Not Divergent Form With Absorption, And Variable Density, Maftuha Sayfullayeva Sep 2020

Mathematical Modeling Of Nonlinear Problem Biological Population In Not Divergent Form With Absorption, And Variable Density, Maftuha Sayfullayeva

Acta of Turin Polytechnic University in Tashkent

В работе установлены критические и двойные критические случаи, обусловленные представлением двойного нелинейного параболического уравнения с переменной плотностью с поглощением в "радиально-симметричной" форме.Такое представление исходного уравнения дало возможность легко построить решения типа Зельдовоч-Баренбатт-Паттл для критических случаев в виде функций сравнения.


Weather Derivatives And The Market Price Of Risk, Julius Esunge, James J. Njong Sep 2020

Weather Derivatives And The Market Price Of Risk, Julius Esunge, James J. Njong

Journal of Stochastic Analysis

No abstract provided.


Exchangeably Weighted Bootstraps Of Martingale Difference Arrays Under The Uniformly Integrable Entropy, Salim Bouzebda, Nikolaos Limnios Sep 2020

Exchangeably Weighted Bootstraps Of Martingale Difference Arrays Under The Uniformly Integrable Entropy, Salim Bouzebda, Nikolaos Limnios

Journal of Stochastic Analysis

No abstract provided.


On An Asset Model Of Hobson-Rogers Type, Narn-Rueih Shieh Sep 2020

On An Asset Model Of Hobson-Rogers Type, Narn-Rueih Shieh

Journal of Stochastic Analysis

No abstract provided.


Nonparametric Recursive Method For Kernel-Type Function Estimators For Censored Data, Salim Bouzebda, Yousri Slaoui Aug 2020

Nonparametric Recursive Method For Kernel-Type Function Estimators For Censored Data, Salim Bouzebda, Yousri Slaoui

Journal of Stochastic Analysis

No abstract provided.


General Product Formula Of Multiple Integrals Of Lévy Process, Nishant Agrawal, Yaozhong Hu, Neha Sharma Aug 2020

General Product Formula Of Multiple Integrals Of Lévy Process, Nishant Agrawal, Yaozhong Hu, Neha Sharma

Journal of Stochastic Analysis

No abstract provided.


Continuous Dependence On The Coefficients For Mean-Field Fractional Stochastic Delay Evolution Equations, Brahim Boufoussi, Salah Hajji Aug 2020

Continuous Dependence On The Coefficients For Mean-Field Fractional Stochastic Delay Evolution Equations, Brahim Boufoussi, Salah Hajji

Journal of Stochastic Analysis

No abstract provided.


The Value Of Information Under Partial Information For Exponential Utility, Farai Julius Mhlanga, Mbakisi Dube Aug 2020

The Value Of Information Under Partial Information For Exponential Utility, Farai Julius Mhlanga, Mbakisi Dube

Journal of Stochastic Analysis

No abstract provided.


Uniform Random Variate Generation With The Linear Congruential Method, Joseph Free Jul 2020

Uniform Random Variate Generation With The Linear Congruential Method, Joseph Free

PANDION: The Osprey Journal of Research and Ideas

This report considers the issue of using a specific linear congruential generator (LCG) to create random variates from the uniform(0,1) distribution. The LCG is used to generate multiple samples of pseudo-random numbers and statistical computation techniques are used to assess whether those samples could have resulted from a uniform(0,1) distribution. Source code is included with this report in the appendix along with annotations.