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Articles 1351 - 1375 of 1375
Full-Text Articles in Mathematics
Finite Integration Method Using Chebyshev Expansion For Solving Heat Equation With Non-Local Boundary Conditions, Thanakorn Prasansri
Finite Integration Method Using Chebyshev Expansion For Solving Heat Equation With Non-Local Boundary Conditions, Thanakorn Prasansri
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Numerical Algorithm For Heat Equation With Moving Boundary Using Finite Integration Method With Chebyshev Polynomial Expansion, Warunya Wong-U-Ra
Numerical Algorithm For Heat Equation With Moving Boundary Using Finite Integration Method With Chebyshev Polynomial Expansion, Warunya Wong-U-Ra
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Eigenvalues Of Unitary Cayley Graph Of Matrix Algebras And Its Subconstituents, Jitsupat Rattanakangwanwong
Eigenvalues Of Unitary Cayley Graph Of Matrix Algebras And Its Subconstituents, Jitsupat Rattanakangwanwong
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
The Cardinality Of The Permutations On A Set With N Non-Fixed Points, Jukkrid Nuntasri
The Cardinality Of The Permutations On A Set With N Non-Fixed Points, Jukkrid Nuntasri
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we study relationships between |Sn(A)| and |seqn1-1(A)| as well as |seqn(A)| for infinite sets A, where Sn(A) is the set of permutations of A with n non-fixed points and seqn(A) and seqn1-1(A) are the set of sequences and the set of one-to-one sequences of elements of A with length n, respectively, where n is a natural number greater than 1. With the Axiom of Choice (AC), |Sn(A)|, |seqn1-1(A)|, and |seqn(A)| are equal for all infinite sets A. Among our results, we show, in the Zermelo-Fraenkel set theory (ZF), that |Sn(A)|<=|seqn1-1(A)| for any infinite set A under some weak form of AC and the assumption cannot be removed. In the other direction, we show that |seqn1-1(A)|<=|Sn+1(A)| for any infinite set A and the subscript n+1 cannot be reduced to n. Moreover, we also show that "|Sn(A)|<=|Sn+1(A)| for any infinite set A" is not provable in ZF.
Threshold Numbers Of Some Complete Multipartite Graphs And Their Complements, Thanaporn Sumalroj
Threshold Numbers Of Some Complete Multipartite Graphs And Their Complements, Thanaporn Sumalroj
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Boundedness Of Some Multi-Parameter Fiber-Wise Multiplier Operators, Frédéric Bernicot, Polona Durcik
Boundedness Of Some Multi-Parameter Fiber-Wise Multiplier Operators, Frédéric Bernicot, Polona Durcik
Mathematics, Physics, and Computer Science Faculty Articles and Research
We prove Lp estimates for various multi-parameter bi- and trilinear operators with symbols acting on fibers of the two-dimensional functions. In particular, this yields estimates for the general bi-parameter form of the twisted paraproduct studied in [V. Kovač, Boundedness of the twisted paraproduct. Rev. Mat. Iberoam. 28 (2012), no. 4, 1143–1164.].
Differentially Private Fractional Frequency Moments Estimation With Polylogarithmic Space, Lun Wang, Iosif Pinelis, Dawn Song
Differentially Private Fractional Frequency Moments Estimation With Polylogarithmic Space, Lun Wang, Iosif Pinelis, Dawn Song
Michigan Tech Publications, Part 1
We prove that Fp sketch, a well-celebrated streaming algorithm for frequency moments estimation, is differentially private as is when p ∈ (0, 1]. Fp sketch uses only polylogarithmic space, exponentially better than existing DP baselines and only worse than the optimal non-private baseline by a logarithmic factor. The evaluation shows that Fp sketch can achieve reasonable accuracy with differential privacy guarantee. The evaluation code is included in the supplementary material.
Amm Problem #12279, Brad Isaacson
Dot Product Bounds In Galois Rings, David Lee Crosby
Dot Product Bounds In Galois Rings, David Lee Crosby
Graduate Theses/Dissertations
We consider the Erdős Distance Conjecture in the context of dot products in Galois rings and prove results for single dot products and pairs of dot products.
On The Chromatic Numbers Of Subgroup Lattices, Jacob C. Miles
On The Chromatic Numbers Of Subgroup Lattices, Jacob C. Miles
Graduate Theses/Dissertations
In this thesis we investigate the chromatic number of the Hasse diagram of a subgroup lattice. We combine results of Bollobás and Tůma to show that there exist infnite groups whose subgroup lattices have arbitarily high chromatic numbers. We show that fnite supersolvable groups have bipartite subgroup lattices but that CLT and non-solvable groups may not have bipartite subgroup lattices. Lastly, we give a preliminary argument suggesting that there are an infnite number of non-solvable groups whose subgroup lattices are bipartite.
On Rotationally Driven Nonlinear Inclined Polymeric Jet With Gravity Effect, Daniel N. Riahi, Saulo Orizaga
On Rotationally Driven Nonlinear Inclined Polymeric Jet With Gravity Effect, Daniel N. Riahi, Saulo Orizaga
School of Mathematical & Statistical Sciences Faculty Publications
We consider rotationally driven nonlinear polymeric fiber jet, whose centerline is in an inclined plane, in the presence of gravity force. An empirical viscosity model is used for the polymeric fluid flow to investigate properties of the rotating inclined polymeric fiber jet. The aim of the study is to understand properties of such inclined fiber jet shape, which can be due to orientation change of an orifice in a rotating spinneret that generates such jet. Perturbation, asymptotic, scaling and numerical techniques are used to determine the nonlinear steady solutions for the jet quantities for different values of the parameters due …
Global In Time Self-Interacting Dirac Fields In The De Sitter Space, Karen Yagdjian
Global In Time Self-Interacting Dirac Fields In The De Sitter Space, Karen Yagdjian
School of Mathematical & Statistical Sciences Faculty Publications
In this paper the semilinear equation of the spin-12 fields in the de Sitter space is investigated. We prove the existence of the global in time small data solution in the expanding de Sitter universe. Then, under the Lochak–Majorana condition, we prove the existence of the global in time solution with large data. The sufficient conditions for the solutions to blow up in finite time are given for large data in the expanding and contracting de Sitter spacetimes. The influence of the Hubble constant on the lifespan is estimated.
P-Adic Analysis: A Quick Introduction, Wilson A. Zuniga-Galindo
P-Adic Analysis: A Quick Introduction, Wilson A. Zuniga-Galindo
School of Mathematical & Statistical Sciences Faculty Publications
These notes aim to provide a fast introduction to p-adic analysis assuming basic knowledge in algebra and analysis. The text corresponds to the lecture notes for a Mini-Course in the L. Santal´o Research Summer School 2019. Palacio de la Magdalena, Santander, Spain, June 24-28, 2019.
Online List Coloring For Signed Graphs, Melissa Tupper, Jacob A. White
Online List Coloring For Signed Graphs, Melissa Tupper, Jacob A. White
School of Mathematical & Statistical Sciences Faculty Publications
We generalize the notion of online list coloring to signed graphs. We define the online list chromatic number of a signed graph, and prove a generalization of Brooks’ Theorem. We also give necessary and sufficient conditions for a signed graph to be degree paintable, or degree choosable. Finally, we classify the 2-list-colorable and 2-list-paintable signed graphs.
Game Between The Third Party Payment Service Provider And Bank In Mobile Payment Market, Hui Jiang, Junhai Ma, Zhaosheng Feng
Game Between The Third Party Payment Service Provider And Bank In Mobile Payment Market, Hui Jiang, Junhai Ma, Zhaosheng Feng
School of Mathematical & Statistical Sciences Faculty Publications
With the innovation and integration of the Internet and the financial industry, the third-party payment market has developed greatly and has great potential. This paper discusses the duopoly game between third-party payment service providers and banks, which are the main participants in the mobile payment market. By constructing Nash game model, the conditions of equilibrium point, stability and bifurcation are analyzed. The effects of adjusting parameters and cooperation coefficient on business volume and profit are discussed. The conclusions are as follows: excessive investment will lead to unpredictable fluctuations in the market and fall into chaos; By strengthening cooperation, all participants …
The Kepler Problem On Complex And Pseudo-Riemannian Manifolds, Michael R. Astwood
The Kepler Problem On Complex And Pseudo-Riemannian Manifolds, Michael R. Astwood
Theses and Dissertations (Comprehensive)
The motion of objects in the sky has captured the attention of scientists and mathematicians since classical times. The problem of determining their motion has been dubbed the Kepler problem, and has since been generalized into an abstract problem of dynamical systems. In particular, the question of whether a classical system produces closed and bounded orbits is of importance even to modern mathematical physics, since these systems can often be analysed by hand. The aforementioned question was originally studied by Bertrand in the context of celestial mechanics, and is therefore referred to as the Bertrand problem. We investigate the qualitative …
Stability Of A Discrete-Time Infected-Aged Epidemic Model, Patchara Ploypetch
Stability Of A Discrete-Time Infected-Aged Epidemic Model, Patchara Ploypetch
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we consider a discrete-time infected-aged SIS epidemic model. The model is obtained from a continuous-time SIS epidemic model by applying Micken’s nonstandard finite difference method. We derive some basic properties of solutions including the boundedness and positivity of solutions. Furthermore, we obtain two parameters R0 and R∞ so that if R0 < 1 then the infection becomes extinct whereas if R∞ > 1 the the infection becomes permanent.
Developing Test Statistics For Familial Dna Searches Through Classification Ideas, Chanagarn Laoiam
Developing Test Statistics For Familial Dna Searches Through Classification Ideas, Chanagarn Laoiam
Chulalongkorn University Theses and Dissertations (Chula ETD)
In a familial DNA search, the test statistic used for concluding a relationship is the likelihood ratio. In the traditional way, it is assumed that all individuals have the same genetic background ; however, population substructure typically exists and allele frequencies differ among subpopulations. To address this issue, a number of modified likelihood ratio statistics have been proposed. One is to apply the likelihood ratio framework to the average available allele frequencies (LRLAF). Another well-known three statistics are taking the maximum, minimum and average of all available likelihood ratios (LRMAX, LRMIN or LRAVG, respectively). In this thesis, two new likelihood …
Realtime Event Detection In Sports Sensor Data With Machine Learning, Mallory Cashman
Realtime Event Detection In Sports Sensor Data With Machine Learning, Mallory Cashman
Honors Theses and Capstones
Machine learning models can be trained to classify time series based sports motion data, without reliance on assumptions about the capabilities of the users or sensors. This can be applied to predict the count of occurrences of an event in a time period. The experiment for this research uses lacrosse data, collected in partnership with SPAITR - a UNH undergraduate startup developing motion tracking devices for lacrosse. Decision Tree and Support Vector Machine (SVM) models are trained and perform with high success rates. These models improve upon previous work in human motion event detection and can be used a reference …
Extractable Entanglement From A Euclidean Hourglass, Takanori Anegawa, Norihiro Iizuka, Daniel Kabat
Extractable Entanglement From A Euclidean Hourglass, Takanori Anegawa, Norihiro Iizuka, Daniel Kabat
Publications and Research
We previously proposed that entanglement across a planar surface can be obtained from the partition function on a Euclidean hourglass geometry. Here we extend the prescription to spherical entangling surfaces in conformal field theory. We use the prescription to evaluate log terms in the entropy of a conformal field theory in two dimensions, a conformally coupled scalar in four dimensions, and a Maxwell field in four dimensions. For Maxwell we reproduce the extractable entropy obtained by Soni and Trivedi. We take this as evidence that the hourglass prescription provides a Euclidean technique for evaluating extractable entropy in quantum field theory.
Bft2: A General Class Of 2d N = (0, 2) Theories, 3-Manifolds And Toric Geometry, Sebastían Franco, Xingyang Yu
Bft2: A General Class Of 2d N = (0, 2) Theories, 3-Manifolds And Toric Geometry, Sebastían Franco, Xingyang Yu
Publications and Research
We introduce and initiate the study of a general class of 2d N = (0, 2) quiver gauge theories, defined in terms of certain 2-dimensional CW complexes on oriented 3- manifolds. We refer to this class of theories as BFT2’s. They are natural generalizations of Brane Brick Models, which capture the gauge theories on D1-branes probing toric Calabi-Yau 4-folds. The dynamics and triality of the gauge theories translate into simple transformations of the underlying CW complexes. We introduce various combinatorial tools for analyzing these theories and investigate their connections to toric Calabi-Yau manifolds, which arise as their …
Fano 3-Folds, Reflexive Polytopes And Brane Brick Models, Sebastían Franco, Rak-Kyeong Seong
Fano 3-Folds, Reflexive Polytopes And Brane Brick Models, Sebastían Franco, Rak-Kyeong Seong
Publications and Research
Reflexive polytopes in n dimensions have attracted much attention both in mathematics and theoretical physics due to their connection to Fano n-folds and mirror symmetry. This work focuses on the 18 regular reflexive polytopes corresponding to smooth Fano 3-folds. For the first time, we show that all 18 regular reflexive polytopes have corresponding 2d (0, 2) gauge theories realized by brane brick models. These 2d gauge theories can be considered as the worldvolume theories of D1-branes probing the toric Calabi-Yau 4-singularities whose toric diagrams are given by the associated regular reflexive polytopes. The generators of the mesonic moduli …
The Octagon At Large M, Riccardo Argurio, Matteo Bertolini, Sebastían Franco, Eduardo García-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
The Octagon At Large M, Riccardo Argurio, Matteo Bertolini, Sebastían Franco, Eduardo García-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff
Publications and Research
Recently, the first instance of a model of D-branes at Calabi-Yau singularities where supersymmetry is broken dynamically into stable vacua has been proposed. This construction was based on a system of N regular and M = 1 fractional branes placed at the tip of the so-called (orientifolded) Octagon singularity. In this paper we show that this model admits a large M generalization, having the same low energy effective dynamics. This opens up the possibility that the effect on geometry is smooth, and amenable to describing the gauge theory all along the RG flow, including the deep IR, in terms of …
Finding The Best Predictors For Foot Traffic In Us Seafood Restaurants, Isabel Paige Beaulieu
Finding The Best Predictors For Foot Traffic In Us Seafood Restaurants, Isabel Paige Beaulieu
Honors Theses and Capstones
COVID-19 caused state and nation-wide lockdowns, which altered human foot traffic, especially in restaurants. The seafood sector in particular suffered greatly as there was an increase in illegal fishing, it is made up of perishable goods, it is seasonal in some places, and imports and exports were slowed. Foot traffic data is useful for business owners to have to know how much to order, how many employees to schedule, etc. One issue is that the data is very expensive, hard to get, and not available until months after it is recorded. Our goal is to not only find covariates that …
Revisiting The Interval And Fuzzy Topsis Methods: Is Euclidean Distance A Suitable Tool To Measure The Differences Between Fuzzy Numbers?, Hosein Arman, Abdollah Hadi-Vencheh, Reza Kiani Mavi, Mehdi Khodadadipour, Ali Jamshidi
Revisiting The Interval And Fuzzy Topsis Methods: Is Euclidean Distance A Suitable Tool To Measure The Differences Between Fuzzy Numbers?, Hosein Arman, Abdollah Hadi-Vencheh, Reza Kiani Mavi, Mehdi Khodadadipour, Ali Jamshidi
Research outputs 2022 to 2026
Euclidean distance (ED) calculates the distance between n-coordinate points that n equals the dimension of the space these points are located. Some studies extended its application to measure the difference between fuzzy numbers (FNs).This study shows that this extension is not logical because although an n-coordinate point and an FN are denoted the same, they are conceptually different. An FN is defined by n components; however, n is not equal to the dimension of the space where the FN is located. This study illustrates this misapplication and shows that the ED between FNs does not necessarily reflect their difference. We …