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Articles 751 - 780 of 1621
Full-Text Articles in Analysis
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Application Of Kudryashov Method For The Ito Equations, Mozhgan Akbari
Applications and Applied Mathematics: An International Journal (AAM)
In this present work, the Kudryashov method is used to construct exact solutions of the (1+1)- dimensional and the (1+2)-dimensional form of the generalized Ito integro-differential equation. The Kudryashov method is a powerful method for obtaining exact solutions of nonlinear evolution equations. This method can be applied to non-integrable equations as well as integrable ones.
Observations On Convexity, Chad A. Huckaby
Observations On Convexity, Chad A. Huckaby
Electronic Theses and Dissertations
This thesis will explore convexity as it pertains to sets of complex-valued functions. These include preliminary looks at established linear and polynomially convex hulls, along with the development of new types of convex hulls. These types will include, but are not limited to the hulls determined by inversions, shift inversions, and Mobius transformations. A convex hull must be preceded by the set of functions involved. These hulls are the smallest convex sets that contain the original set. Justifications and precise definitions are included within the body of the work.
Shortest Path Problem On Single Valued Neutrosophic Graphs, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali, Kishore Kumar
Shortest Path Problem On Single Valued Neutrosophic Graphs, Florentin Smarandache, Said Broumi, Mohamed Talea, Assia Bakali, Kishore Kumar
Branch Mathematics and Statistics Faculty and Staff Publications
A single valued neutrosophic graph is a generalized structure of fuzzy graph, intuitionistic fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with systems that are designed using fuzzy graphs and intuitionistic fuzzy graphs. This paper addresses for the first time, the shortest path in an acyclic neutrosophic directed graph using ranking function. Here each edge length is assigned to single valued neutrosophic numbers instead of a real number. The neutrosophic number is able to represent the indeterminacy in the edge (arc) costs of neutrosophic graph. A proposed algorithm gives the shortest path and shortest …
Kadison's Pythagorean Theorem And Essential Codimension, Jireh Loreaux, Victor Kaftal
Kadison's Pythagorean Theorem And Essential Codimension, Jireh Loreaux, Victor Kaftal
SIUE Faculty Research, Scholarship, and Creative Activity
Kadison’s Pythagorean theorem (Proc Natl Acad Sci USA, 99(7):4178–4184, 2002; Proc Natl Acad Sci USA 99(8):5217–5222, 2002) provides a characterization of the diagonals of projections with a subtle integrality condition. Arveson (Proc Natl Acad Sci USA 104(4):1152–1158, 2007), Kaftal, Ng, Zhang (J Funct Anal 257(8):2497–2529, 2009), and Argerami (Integral Equ Oper Theory 82(1):33–49, 2015) all provide different proofs of that integrality condition. In this paper we interpret the integrality condition in terms of the essential codimension of a pair of projections introduced by Brown et al. (Proceedings of a conference on operator theory, Lecture notes …
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Nash Twist And Gaussian Noise Measure For Isometric C1 Maps, Amites Dasgupta, Mahuya Datta
Communications on Stochastic Analysis
No abstract provided.
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
On Constructing Some Membranes For A Symmetric Α-Stable Process, M. M. Osypchuk, M.I. Portenko
Communications on Stochastic Analysis
No abstract provided.
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
On Martingale Representation And Logarithmic-Sobolev Inequality For Fractional Brownian Bridge Measures, Xiaoxia Sun, Feng Guo
Communications on Stochastic Analysis
No abstract provided.
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Existence And Stability For Stochastic Impulsive Neutral Partial Differential Equations Driven By Rosenblatt Process With Delay And Poisson Jumps, Mouhamed Ait Ouahra, Brahim Boufoussi, El Hassan Lakhel
Communications on Stochastic Analysis
No abstract provided.
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
A Clark-Ocone Type Formula Under Change Of Measure For Multidimensional Lévy Processes, Ryoichi Suzuki
Communications on Stochastic Analysis
No abstract provided.
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Optimal Approximation Of Skorohod Integrals – Examples With Substandard Rates, Peter Parczewski
Communications on Stochastic Analysis
No abstract provided.
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Anticipative Integrals With Respect To A Filtered Lévy Process And Lévy–Itô Decomposition, Nicolas Savy, Josep Vives
Communications on Stochastic Analysis
No abstract provided.
Equivalence Between A Harmonic Form And A Closed Co-Closed Form In Both Lq And Non-Lq Spaces, Lina Wu
Equivalence Between A Harmonic Form And A Closed Co-Closed Form In Both Lq And Non-Lq Spaces, Lina Wu
Publications and Research
For a differential k-form ω on a complete non-compact manifold, we establish an equivalent relation between a harmonic form and a closed co-closed form. We extend this equivalence from ω in L^2 spaces to ω with 2-balanced growth including L^2 spaces and non-L^2 spaces. Especially for a simple differential k-form ¯ω on a complete non-compact manifold, we generalize this equivalence from ¯ω in L^q spaces to ¯ω with 2-balanced growth including L^q spaces and non-L^q spaces for 2 ≤ q < 3. Our research findings recapture the work of Andreotti and Vesentini. Our ideas and calculation methods in this paper could provide a new way of broadening L^q spaces to non-L^q spaces in a variety of energy for differential forms.
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
From Pythagoreans And Weierstrassians To True Infinitesimal Calculus, Mikhail Katz, Luie Polev
Journal of Humanistic Mathematics
In teaching infinitesimal calculus we sought to present basic concepts like continuity and convergence by comparing and contrasting various definitions, rather than presenting “the definition” to the students as a monolithic absolute. We hope that our experiences could be useful to other instructors wishing to follow this method of instruction. A poll run at the conclusion of the course indicates that students tend to favor infinitesimal definitions over epsilon-delta ones.
Discovering Liouville-Type Problems For P-Energy Minimizing Maps In Closed Half-Ellipsoids By Calculus Variation Method, Lina Wu
Publications and Research
The goal of this project is to investigate constant properties (called the Liouville-type Problem) for a p-stable map as a local or global minimum of a p-energy functional where the domain is a Euclidean space and the target space is a closed half-ellipsoid. The First and Second Variation Formulas for a p-energy functional has been applied in the Calculus Variation Method as computation techniques. Stokes’ Theorem, Cauchy-Schwarz Inequality, Hardy-Sobolev type Inequalities, and the Bochner Formula as estimation techniques have been used to estimate the lower bound and the upper bound of the derived p-Harmonic Stability Inequality. One challenging point in …
The Mean Value Theorem, Dave Ruch
Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus
Strategies For Using Data Analytics In Testing The Readability Levels Of Textbooks: It’S Time To Get Serious, Emily Wefelmeyer, Mary Beth Backus
Other Student Works
The idea that education in America is deteriorating is emotionally charged and controversial. While there is no disputing that education levels in the United States continue to rise, there is also a pervasive notion that this was accomplished by gradually reducing the readability level and general difficulty of textbooks. One tool often employed in the defense of education is the employment of readability indices in the evaluation of textbooks. There are a variety of these readability indices that serve the purpose of indicating a grade level for a particular piece of writing (Kinkaid, et. al., 1975). It’s relatively easy to …
Euler's Rediscovery Of E With Instructor Notes, Dave Ruch
Euler's Rediscovery Of E With Instructor Notes, Dave Ruch
Analysis
No abstract provided.
Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch
Abel And Cauchy On A Rigorous Approach To Infinite Series, Dave Ruch
Analysis
No abstract provided.
An Introduction To A Rigorous Definition Of Derivative, Dave Ruch
An Introduction To A Rigorous Definition Of Derivative, Dave Ruch
Analysis
No abstract provided.
Bolzano On Continuity And The Intermediate Value Theorem, Dave Ruch
Bolzano On Continuity And The Intermediate Value Theorem, Dave Ruch
Analysis
No abstract provided.
Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci
Homeomorphic Property Of The Stochastic Flow Of A Natural Equation In Multi-Dimensional Case, Fatima Benziadi, Abdeldjabbar Kandouci
Communications on Stochastic Analysis
No abstract provided.
Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro
Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro
Theses and Dissertations
Einstein's field equations are a system of ten partial differential equations. For a special class of spacetimes known as Gowdy spacetimes, the number of equations is reduced due to additional structure of two dimensional isometry groups with mutually orthogonal Killing vectors. In this thesis, we focus on a particular model of Gowdy spacetimes known as the polarized T3 model, and provide an explicit solution to Einstein's equations.
Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, Aissa Sghir, Mohamed A. Ouahra, Soufiane Moussaten
Occupation Time Problem Of Certain Self-Similar Processes Related To The Fractional Brownian Motion, Aissa Sghir, Mohamed A. Ouahra, Soufiane Moussaten
Communications on Stochastic Analysis
No abstract provided.
Extensions Of The Hitsuda–Skorokhod Integral, Peter Parczewski
Extensions Of The Hitsuda–Skorokhod Integral, Peter Parczewski
Communications on Stochastic Analysis
No abstract provided.
The Double Barrier Problem With Double Exponential Jump Diffusion, Julius Esunge, Kalev Pärna, Dean Teneng
The Double Barrier Problem With Double Exponential Jump Diffusion, Julius Esunge, Kalev Pärna, Dean Teneng
Communications on Stochastic Analysis
No abstract provided.
Convergence Analysis Of A Proximal Point Algorithm For Minimizing Differences Of Functions, Thai An Nguyen, Mau Nam Nguyen
Convergence Analysis Of A Proximal Point Algorithm For Minimizing Differences Of Functions, Thai An Nguyen, Mau Nam Nguyen
Mathematics and Statistics Faculty Publications and Presentations
Several optimization schemes have been known for convex optimization problems. However, numerical algorithms for solving nonconvex optimization problems are still underdeveloped. A significant progress to go beyond convexity was made by considering the class of functions representable as differences of convex functions. In this paper, we introduce a generalized proximal point algorithm to minimize the difference of a nonconvex function and a convex function. We also study convergence results of this algorithm under the main assumption that the objective function satisfies the Kurdyka– ᴌojasiewicz property.
Compactness Of Isoresonant Potentials, Robert G. Wolf
Compactness Of Isoresonant Potentials, Robert G. Wolf
Theses and Dissertations--Mathematics
Bruning considered sets of isospectral Schrodinger operators with smooth real potentials on a compact manifold of dimension three. He showed the set of potentials associated to an isospectral set is compact in the topology of smooth functions by relating the spectrum to the trace of the heat semi-group. Similarly, we can consider the resonances of Schrodinger operators with real valued potentials on Euclidean space of whose support lies inside a ball of fixed radius that generate the same resonances as some fixed Schrodinger operator, an ``isoresonant" set of potentials. This isoresonant set of potentials is also compact in the topology …
Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler
Approximation Of Solutions To The Mixed Dirichlet-Neumann Boundary Value Problem On Lipschitz Domains, Morgan F. Schreffler
Theses and Dissertations--Mathematics
We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.
Curiozităţi Ale Funcţiilor Supermatematice, Florentin Smarandache, Mircea Eugen Selariu
Curiozităţi Ale Funcţiilor Supermatematice, Florentin Smarandache, Mircea Eugen Selariu
Branch Mathematics and Statistics Faculty and Staff Publications
No abstract provided.
The Qq–Bit (Ii): Functional Central Limits And Monotone Representation Of The Azema Martingale, Luigi Accardi, Yun-Gang Lu
The Qq–Bit (Ii): Functional Central Limits And Monotone Representation Of The Azema Martingale, Luigi Accardi, Yun-Gang Lu
Communications on Stochastic Analysis
No abstract provided.