Paraboline Variation Of P-Adic Families Of (Φ; Γ)-Modules,
2017
Bryn Mawr College
Paraboline Variation Of P-Adic Families Of (Φ; Γ)-Modules, John Bergdall
Mathematics Faculty Research and Scholarship
We study the p-adic variation of triangulations over p-adic families of 𝜑 𝛤 -modules. In particular, we study certain canonical sub-filtrations of the pointwise triangulations and show that they extend to affinoid neighborhoods of crystalline points. This generalizes results of Kedlaya, Pottharst and Xiao and (independently) Liu in the case where one expects the entire triangulation to extend. We also study the ramification of weight parameters over natural -adic families.
Dialectric Materials With Memory 1: Minimum And General Free Energies.,
2017
Brigham Young University
Dialectric Materials With Memory 1: Minimum And General Free Energies., Scott Glascow, John Murrough Golden
Articles
A general tensor isothermal theory of free energies and free enthalpies for dielectrics is presented, corresponding to linear constitutive relations with memory. Starting from the general equations of continuum thermodynamics, various properties of and constraints on free energy/enthalpy functionals in dielectric media are noted. It is well-known that free enthalpies are particularly convenient in that their properties are closely analogous with those of free energies in mechanics, though different in crucial ways. General constitutive equations with memory are determined from a given free enthalpy. The form of the relaxation function, which occurs in these constitutive equations, is discussed from a …
Dressing Method For The Degasperis-Procesi Equation,
2017
University of Vienna
Dressing Method For The Degasperis-Procesi Equation, Adrian Constantin, Rossen Ivanov
Articles
The soliton solutions of the Degasperis–Procesi equations are constructed by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form obtained by Hirota's method.
On Integrable Wave Interactions And Lax Pairs On Symmetric Spaces,
2017
Bulgarian Academy of Sciences
On Integrable Wave Interactions And Lax Pairs On Symmetric Spaces, Vladimir S. Gerdjikov, Georgi G. Grahovski, Rossen Ivanov
Articles
No abstract provided.
Dielectric Materials With Memory Ii: Free Energies In Non- Magnetic Materials,
2017
Brigham Young University
Dielectric Materials With Memory Ii: Free Energies In Non- Magnetic Materials, Scott Glascow, John Murrough Golden
Articles
An isothermal theory of free energies and free enthalpies, corresponding to linear constitutive relations with memory, is presented for isotropic non-magnetic materials. This is a second paper, following recent work on a general tensor theory of isothermal dielectrics and on the form of the minimum free energy. Both papers are based on continuum thermodynamics. For a standard choice of relaxation function, the minimum and maximum free energies are given explicitly, using a method previously developed in a mechanics context. Also, a new family of intermediate free energy functionals is derived for dielectrics. All these are solutions of a constrained optimization …
G-Strands On Symmetric Spaces,
2017
Imperial College London
G-Strands On Symmetric Spaces, Alexis Arnaudin, Darryl Holm, Rossen Ivanov
Articles
We study the G-strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces. These equations are simple field theory models whose configuration space is a Lie group, or in this case a symmetric space. In this class of systems, we derive several models that are completely integrable on finite dimensional Lie group G, and we treat in more detail examples with symmetric space SU(2)/S1 and SO(4)/SO(3). The latter model simplifies to an apparently new integrable nine-dimensional system. We …
Cutaneous Malignant Melanoma Incidences Analyzed Worldwide By Skin Type Over Advancing Age Of Males And Females: Evidence Estrogen And Androgenic Hair Are Risk Factors,
2017
U.S. Food and Drug Administration
Cutaneous Malignant Melanoma Incidences Analyzed Worldwide By Skin Type Over Advancing Age Of Males And Females: Evidence Estrogen And Androgenic Hair Are Risk Factors, Dianne E. Godar, Madhan Subramanian, Stephen Merrill
Mathematics, Statistics and Computer Science Faculty Research and Publications
We previously analyzed cutaneous malignant melanoma (CMM) incidences worldwide by sex, age, and Fitzpatrick skin type over time (1955-2007) and found only European-ancestry populations have exponential increasing incidences and about a 2-log increase in the risk between the youngest age groups (0-14 and 15-29 yr). We proposed the increasing incidence over time may be from the spread of Human Papilloma Virus (HPV) found in CMM biopsies, and that the 2-log incidence increase between the youngest age groups might be from developing androgenic hair. The increasing incidence with age may be from white hairs transmitting UV radiation to follicular melanocytes. Here …
Accuracy And Precision In Force-Distance Curves,
2017
University of Alabama in Huntsville
Accuracy And Precision In Force-Distance Curves, Stephen Morgan
Summer Community of Scholars Posters (RCEU and HCR Combined Programs)
No abstract provided.
Suborbital Graphs For The Atkin-Lehner Group,
2017
TÜBİTAK
Suborbital Graphs For The Atkin-Lehner Group, Tuncay Köroğlu, Bahadir Özgür Güler, Zeynep Şanli
Turkish Journal of Mathematics
We investigate suborbital graphs for an imprimitive action of the Atkin-Lehner group on a maximal subset of extended rational numbers on which a transitive action is also satisfied. Obtaining edge and some circuit conditions, we examine some combinatorial properties of these graphs.
Edge-Transitive Bipartite Direct Products,
2017
Virginia Commonwealth University
Edge-Transitive Bipartite Direct Products, Cameron M. Crenshaw
Theses and Dissertations
In their recent paper ``Edge-transitive products," Hammack, Imrich, and Klavzar showed that the direct product of connected, non-bipartite graphs is edge-transitive if and only if both factors are edge-transitive, and at least one is arc-transitive. However, little is known when the product is bipartite. This thesis extends this result (in part) for the case of bipartite graphs using a new technique called "stacking." For R-thin, connected, bipartite graphs A and B, we show that A x B is arc-transitive if and only if A and B are both arc-transitive. Further, we show A x B is edge-transitive only …
Adult Learners, Learning Disabilities, And Mathematics : A Case Study,
2017
Montclair State University
Adult Learners, Learning Disabilities, And Mathematics : A Case Study, Marguerite Sheehan Flood
Theses, Dissertations and Culminating Projects
The purpose of this research was to understand how mathematics is taught at a small, liberal arts college that self-advertised as accommodating diverse learners. A qualitative case study was conducted on the mathematics program at Waterview College. Waterview College is unique in that almost half of their students self-identify with a disability, including learning disabilities (LD). The number of students with learning disabilities that attend college is increasing; therefore it is important for mathematics instructors to understand and accommodate diverse learners. The data for this research were collected using one-on-one instructor interviews, classroom observations, and student focus group interviews. The …
Torsion Freeness Of Symmetric Powers, Exterior Powers, And Schur Functors,
2017
University at Albany, State University of New York
Torsion Freeness Of Symmetric Powers, Exterior Powers, And Schur Functors, Muberra Allahverdi
Legacy Theses & Dissertations (2009 - 2024)
Let $R$ be a local Noetherian commutative ring and $I$ an ideal with projective dimension less than or equal to 1. Necessary and sufficient conditions were provided in \cite{T2007} for a symmetric power $S_kI$ of an ideal of projective dimension 1 to be torsion free, where $k \geq 2$. We extend this result to symmetric powers and a broad class of Schur functors of finitely generated $R$-modules with projective dimension 1. While doing so, we also study the structure of Schur complexes from \cite{ABW1982}, and provide necessary and sufficient conditions for the acyclicity of the Schur complex by computing the …
Complexity Theoretic Parallels Among Automata, Formal Languages And Real Variables : Including Multi-Patterns, L-Systems And Cellular Automata,
2017
University at Albany, State University of New York
Complexity Theoretic Parallels Among Automata, Formal Languages And Real Variables : Including Multi-Patterns, L-Systems And Cellular Automata, Jingnan Xie
Legacy Theses & Dissertations (2009 - 2024)
In this dissertation, we emphasize productiveness not just undecidability since pro- ductiveness implies constructive incompleteness. Analogues of Rice’s Theorem for different classes of languages are investigated, refined and generalized. In particular, several sufficient but general conditions are presented for predicates to be as hard as some widely discussed predicates such as “= ∅” and “= {0,1}∗”. These conditions provide several general methods for proving complexity/productiveness results and apply to a large number of simple and natural predicates. As the first step in apply- ing these general methods, we investigate the complexity/productiveness of the pred- icates “= ∅”, “= {0,1}∗” and …
The Alexander Polynominal For Virtual Twist Knots,
2017
Loyola Marymount University
The Alexander Polynominal For Virtual Twist Knots, Isaac Benioff, Blake Mellor
Mathematics, Statistics and Data Science Faculty Works
We define a family of virtual knots generalizing the classical twist knots. We develop a recursive formula for the Alexander polynomial Δ0 (as defined by Silver and Williams [Polynomial invariants of virtual links, J. Knot Theory Ramifications12 (2003) 987–1000]) of these virtual twist knots. These results are applied to provide evidence for a conjecture that the odd writhe of a virtual knot can be obtained from Δ0 .
On The Volume Of The Indicatrix Of A Complex Finsler Space,
2017
TÜBİTAK
On The Volume Of The Indicatrix Of A Complex Finsler Space, Elena Popovici
Turkish Journal of Mathematics
Following the study on volume of indicatrices in a real Finsler space, in this paper we are investigating some volume properties of the indicatrix considered in an arbitrary fixed point of a complex Finsler manifold. Since for each point of a complex Finsler space the indicatrix is an embedded CR-hypersurface of the punctured holomorphic tangent bundle, by means of its normal vector, the volume element of the indicatrix is determined. Thus, the volume function is pointed out and its variation is studied. Conditions under which the volume is constant are also determined and some classes of complex Finsler spaces with …
Nonpolynomial Spline Technique For The Solution Of Ninth Order Boundary Value Problems,
2017
TÜBİTAK
Nonpolynomial Spline Technique For The Solution Of Ninth Order Boundary Value Problems, Ghazala Akram, Zara Nadeem
Turkish Journal of Mathematics
In this paper, a nonpolynomial spline technique is applied to solve the ninth order linear special case boundary value problems. The end conditions are derived to complete the definition of a spline. Three examples are numerically illustrated to check the efficiency of the method. The comparative analysis shows that the proposed technique gives better results than the homotopy perturbation method and the modified variational iteration method.
Positive Solutions Of First Order Boundary Value Problems With Nonlinear Nonlocal Boundary Conditions,
2017
TÜBİTAK
Positive Solutions Of First Order Boundary Value Problems With Nonlinear Nonlocal Boundary Conditions, Smita Pati, Seshadev Padhi
Turkish Journal of Mathematics
We consider the existence of positive solutions of the nonlinear first order problem with a nonlinear nonlocal boundary condition given by $x^{\prime}(t) = r(t)x(t) + \sum_{i=1}^{m} f_i(t,x(t)), t \in [0,1]$ $\lambda x(0) = x(1) + \sum_{j=1}^{n} \Lambda_j(\tau_j, x(\tau_j)),\tau_j \in [0,1],$ where $r:[0,1] \rightarrow [0,\infty)$ is continuous, the nonlocal points satisfy $0 \leq \tau_1 < \tau_2 < ... < \tau_n \leq 1$, the nonlinear functions $f_i$ and $\Lambda_j$ are continuous mappings from $[0,1] \times [0,\infty) \rightarrow [0,\infty)$ for $i = 1,2,...,m$ and $j = 1,2,...,n$ respectively, and $\lambda >1$ is a positive parameter. The Leray-Schauder theorem and Leggett--Williams fixed point theorem were used to prove our results.
Some Results On The $\Mathcal{P}_{V,2n}$, $\Mathcal{K}_{V,N}$, And $\Mathcal{H}_{V,N}$-Integral Transforms,
2017
TÜBİTAK
Some Results On The $\Mathcal{P}_{V,2n}$, $\Mathcal{K}_{V,N}$, And $\Mathcal{H}_{V,N}$-Integral Transforms, Ayşe Neşe Dernek, Fati̇h Aylikci
Turkish Journal of Mathematics
In this paper, the authors consider the $\mathcal{P}_{v,2n}$-transform, the $\mathcal{G}_n$-transform, and the $\mathcal{K}_{v,n}$-transform as generalizations of the Widder potential transform, the Glasser transform, and the $\mathcal{K}_v$-transform, respectively. Many identities involving these transforms are given. A number of new Parseval-Goldstein type identities are obtained for these and many other well-known integral transforms. Some useful corollaries for evaluating infinite integrals of special functions are presented. Illustrative examples are given for the results.
Sufficient Conditions On Nonunitary Operators That Imply The Unitary Operators,
2017
TÜBİTAK
Sufficient Conditions On Nonunitary Operators That Imply The Unitary Operators, Pabitra Kumar Jena
Turkish Journal of Mathematics
In this paper, we give sufficient conditions on nonunitary operators on the Bergman space that imply the unitary operators.
On Certain Gbs-Durrmeyer Operators Based On $Q$-Integers,
2017
TÜBİTAK
On Certain Gbs-Durrmeyer Operators Based On $Q$-Integers, Dan Barbosu, Ana Maria Acu, Carmen Violeta Muraru
Turkish Journal of Mathematics
In the present paper we introduce the $GBS$ (Generalized Boolean Sum) operators of Durrmeyer type based on $q$-integers and the approximation of B-continuous functions using the above operators is studied. In addition, a uniform convergence theorem is established and the degree of approximation in terms of mixed modulus of continuity is evaluated. The study contains in the last section numerical considerations regarding the constructed operators based on MATLAB algorithms.
