Floor Plan Assignment In Elementary Mathematics Education, 2021 CUNY College of Staten Island

#### Floor Plan Assignment In Elementary Mathematics Education, Tunde Jakab

*Open Educational Resources*

In this upper elementary mathematics education assignment, the prospective teachers gain hands-on experience in measuring distances in feet and inches, calculating areas, and converting distance and area measurements. Moreover, they solve a real-life situation by choosing the most economical tiles for their kitchen. This last part (3) of the assignment develops critical thinking and expressing one's thought processes. Part 3 can be used as an in-class discussion, which further promotes reasoning skills.

Fractals, Fractional Derivatives, And Newton-Like Methods, 2021 Claremont Colleges

#### Fractals, Fractional Derivatives, And Newton-Like Methods, Eleanor Byrnes

*HMC Senior Theses*

Inspired by the fractals generated by the discretizations of the Continuous Newton Method and the notion of a fractional derivative, we ask what it would mean if such a fractional derivative were to replace the derivatives in Newton's Method. This work, largely experimental in nature, examines these new iterative methods by generating their Julia sets, computing their fractal dimension, and in certain tractable cases examining the behaviors using tools from dynamical systems.

Radial Singular Solutions To Semilinear Partial Differential Equations, 2021 Claremont Colleges

#### Radial Singular Solutions To Semilinear Partial Differential Equations, Marcelo A. Almora Rios

*HMC Senior Theses*

We show the existence of countably many non-degenerate continua of singular radial solutions to a p-subcritical, p-Laplacian Dirichlet problem on the unit ball in R^N. This result generalizes those for the 2-Laplacian to any value p and extends recent work on the p-Laplacian by considering solutions both radial and singular.

Use Of Lymesim 2.0 To Assess The Potential For Single And Integrated Management Methods To Control Blacklegged Ticks (Ixodes Scapularis; Acari: Ixodidae) And Transmission Of Lyme Disease Spirochetes, 2021 Hollins University

#### Use Of Lymesim 2.0 To Assess The Potential For Single And Integrated Management Methods To Control Blacklegged Ticks (Ixodes Scapularis; Acari: Ixodidae) And Transmission Of Lyme Disease Spirochetes, Shravani Chitineni, Elizabeth R. Gleim, Holly D. Gaff

*Undergraduate Honors Theses*

Annual Lyme disease cases continue to rise in the U.S. making it the most reported vector-borne illness in the country. The pathogen (*Borrelia burgdorferi) *and primary vector (*Ixodes scapularis; *blacklegged tick*)* dynamics of Lyme disease are complicated by the multitude of vertebrate hosts and varying environmental factors, making models an ideal tool for exploring disease dynamics in a time- and cost-effective way. In the current study, LYMESIM 2.0, a mechanistic model, was used to explore the effectiveness of three commonly used tick control methods: habitat-targeted acaricide (spraying), rodent-targeted acaricide (bait boxes), and white-tailed deer targeted acaricide (4-poster devices ...

A Nonstandard Proof Of De Finetti’S Theorem For Bernoulli Random Variables, 2020 Louisiana State University, Baton Rouge, LA 70803, USA

#### 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, 2020 University of Babylon

#### 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, 2020 Universidad Nacional Experimental Francisco de Miranda, Punto Fijo, Venezuela

#### 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, 2020 J.N. Centre for Advanced Scientific Research, Indian Institute of Science and Indian Statistical Institute, Bangalore, INDIA

#### Martingales And Cocycles In Quantum Probability, Kalyan B. Sinha

*Journal of Stochastic Analysis*

No abstract provided.

Rényi Entropy On C*-Algebras, 2020 United Arab Emirates University, 15551 Al-Ain, United Arab Emirates

#### 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, 2020 University of Abomey-Calavi, 072 B. P. 50 Cotonou, Benin Republic

#### 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, 2020 University of Cyprus, Nicosia, 1678, Cyprus

#### 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, 2020 Università di Roma Tor Vergata, Via Columbia, 2, 00133 Roma, Italy

#### 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.

Quantitatively Hyper-Positive Real Functions, 2020 Chapman University

#### Quantitatively Hyper-Positive Real Functions, Daniel Alpay, Izchak Lewkowicz

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

Hyper-positive real, matrix-valued, rational functions are associated with absolute stability (the Lurie problem). Here, quantitative subsets of Hyper-positive functions, related through nested inclusions, are introduced. Structurally, this family of functions turns out to be matrix-convex and closed under inversion.

A state-space characterization of these functions through a corresponding Kalman-Yakubovich-Popov Lemma, is given. Technically, the classical Linear Matrix Inclusions, associated with passive systems, are here substituted by Quadratic Matrix Inclusions.

An Asymptotic Formula For Integrals Of Products Of Jacobi Polynomials, 2020 University of Connecticut, Storrs, CT 06269-1009, USA

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

*Journal of Stochastic Analysis*

No abstract provided.

Introduction To Neutrosophic Genetics, 2020 University of New Mexico

#### Introduction To Neutrosophic Genetics, Florentin Smarandache

*Mathematics and Statistics Faculty and Staff Publications*

Neutrosophic Genetics is the study of genetics using neutrosophic logic, set, probability, statistics, measure and other neutrosophic tools and procedures. In this paper, based on the Neutrosophic Theory of Evolution (that includes degrees of Evolution, Neutrality (or Indeterminacy), and Involution) – as extension of Darwin’s Theory of Evolution, we show the applicability of neutrosophy in genetics, and we present within the frame of neutrosophic genetics the following concepts: neutrosophic mutation, neutrosophic speciation, and neutrosophic coevolution.

Structure, Neutrostructure, And Antistructure In Science, 2020 University of New Mexico

#### Structure, Neutrostructure, And Antistructure In Science, Florentin Smarandache

*Mathematics and Statistics Faculty and Staff Publications*

In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false. Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that are totally true. The NeutroTheorem and AntiTheorem are generalizations and alternatives ...

Sum Of Cubes Of The First N Integers, 2020 California State University, San Bernardino

#### Sum Of Cubes Of The First N Integers, Obiamaka L. Agu

*Electronic Theses, Projects, and Dissertations*

In Calculus we learned that Sum^{n}_{k=1} k = [n(n+1)]/2 , that Sum^{n}_{k=1} k^2 = [n(n+1)(2n+1)]/6 , and that Sum^{n}_{k=1} k^{3} = (n(n+1)/2)^{2}. These formulas are useful when solving for the area below quadratic or cubic function over an interval [a, b]. This tedious process, solving for areas under a quadratic or a cubic, served as motivation for the introduction of Riemman integrals. For the overzealous math student, these steps were replaced by a simpler method of evaluating antiderivatives at ...

Covariant Quantum White Noise From Light-Like Quantum Fields, 2020 Army Research Laboratory Adelphi, MD, 21005-5069, USA

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

*Journal of Stochastic Analysis*

No abstract provided.

Grim Under A Compensation Variant, 2020 Murray State University

#### Grim Under A Compensation Variant, Aaron Davis, Aaron Davis

*Honors College Theses*

Games on graphs are a well studied subset of combinatorial games. Balance and strategies for winning are often looked at in these games. One such combinatorial graph game is Grim. Many of the winning strategies of Grim are already known. We note that many of these winning strategies are only available to the first player. Hoping to develop a fairer Grim, we look at Grim played under a slighlty different rule set. We develop winning strategies and known outcomes for this altered Grim. Throughout, we discuss whether our altered Grim is a fairer game then the original.

Deformed Gaussian Operators On Weighted Q-Fock Spaces, 2020 Aichi University of Education, Kariya, Aichi, 448-8542, Japan

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

*Journal of Stochastic Analysis*

No abstract provided.