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Full-Text Articles in Mathematics
Closed-Form Formulas For Conditional Moments Of Generalized Cox-Ingersoll-Ross Processes, Phiraphat Sutthimat
Closed-Form Formulas For Conditional Moments Of Generalized Cox-Ingersoll-Ross Processes, Phiraphat Sutthimat
Chulalongkorn University Theses and Dissertations (Chula ETD)
Cox-Ingersoll-Ross (CIR) process, introduced in 1985, is a one factor model used to describe the evolution of interest rate and pricing the financial derivatives. It was later extended to have time-dependent parameters called the extended CIR (ECIR) process, which is more widely studied and used in a variety of applications. The generalized versions of CIR process are also studied and investigated for more applications in finance. However, most of these applications rely on the knowledge and properties of conditional expectations and moments, which most of them are not yet fully developed into closed form. In this work, we propose closed-form …
Algebraic Degree Of Spectra Of Cayley Hypergraphs, Naparat Sripaisan
Algebraic Degree Of Spectra Of Cayley Hypergraphs, Naparat Sripaisan
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
S-Magic Labelings Of Some Complete Tripartite Graphs, Sararat Numai
S-Magic Labelings Of Some Complete Tripartite Graphs, Sararat Numai
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Hamiltonian Cycles Of Equational Graphs Over Finite Fields, Wachirawit Chaifongsri
Hamiltonian Cycles Of Equational Graphs Over Finite Fields, Wachirawit Chaifongsri
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Pancyclicity And Vertex Pancyclicity For Some Products Of Graphs, Artchariya Muaengwaeng
Pancyclicity And Vertex Pancyclicity For Some Products Of Graphs, Artchariya Muaengwaeng
Chulalongkorn University Theses and Dissertations (Chula ETD)
No abstract provided.
Generalized Factorizability Of Certain Implicit Dependence Copulas, Peerapong Panyasakulwong
Generalized Factorizability Of Certain Implicit Dependence Copulas, Peerapong Panyasakulwong
Chulalongkorn University Theses and Dissertations (Chula ETD)
The copula CX,Y of random variables X and Y that are uniformly distributed on [0,1] is called an implicit dependence copula if f(X)=g(Y) almost surely for some Borel functions f and g on [0,1]. Via a generalized Markov product, we give a one-to-one correspondence between the implicit dependence copulas and the parametric classes of subcopulas on a corresponding domain for the cases that f=g=Λθ, the tent function whose top is at (θ,1). We also show in the case f=g=α, a simple measure-preserving function, that implicit dependence copulas are generalized factorizable.
Building Detection From Remote Sensing Images Using Yolo, Noppadon Pumpong
Building Detection From Remote Sensing Images Using Yolo, Noppadon Pumpong
Chulalongkorn University Theses and Dissertations (Chula ETD)
Building detection system through the remote sensing of images has been widely studied. In this thesis, we propose a model for detecting buildings at airports in Asia through different levels of remote sensing image. The proposed model is improved using the You Only Look Once (YOLO) algorithm based on the convolutional neural network (CNN). We also adjust an inputted image to our model using the Jet Saliency Map. The buildings to be detected in this study are the passenger terminals, the control towers, the cargo buildings, and the hangars. The data set has been collected from 322 different airports in …
Convergence Of Trinomial Formula For Call Option Prices, Yuttana Ratibenyakool
Convergence Of Trinomial Formula For Call Option Prices, Yuttana Ratibenyakool
Chulalongkorn University Theses and Dissertations (Chula ETD)
The binomial formula given by Cox, Ross and Rubinstein (1979) is a tool for valuating the call option price. It is well known that the price from binomial formula converges to the price from Black-Scholes formula which was given by Black, Scholes and Merton (1973) as the number of periods (n) converges to infinity. In 1988, Boyle introduced the trinomial formula which is another tool for calculating call option price. He considered the trinomial formula in the case that the rising rate of a stock price is u = e λσ√T n and the falling rate of the stock price …
Tolerance-Localized And Control-Localized Solutions To System Of Interval Linear Equations, Kanokwan Burimas
Tolerance-Localized And Control-Localized Solutions To System Of Interval Linear Equations, Kanokwan Burimas
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we are interested in a system of interval linear equations Ax=b whose coefficient A and right hand side b vary in some real intervals. We study two types of solutions called tolerance--localized and control--localized solutions of interval linear equations system. The characterizations of each solution are proposed in two main theorems. First, the proposed theorem is stated in terms of center and radius matrices which is directly proved by following their definitions. The other theorem is presented as magnitude sense with new notation. Based on the second theorem, the closed form of all solution sets is released. …
Definable Modules Over Definable Rings Without Zero Divisors In O-Minimal Structures, Jaruwat Rodbanjong
Definable Modules Over Definable Rings Without Zero Divisors In O-Minimal Structures, Jaruwat Rodbanjong
Chulalongkorn University Theses and Dissertations (Chula ETD)
In an o-minimal structure, every definable group admits a definable group manifold. Moreover, one can also show an analogue of this statement for definable rings. In this work, we prove that every definable module over definable ring without zero divisors admits a definable module manifold. In addition, we also give the classification of definable modules over definable rings without zero divisors in o-minimal structures
Greybody Factors For Perfect Fluid Black Hole, Kunlapat Sansuk
Greybody Factors For Perfect Fluid Black Hole, Kunlapat Sansuk
Chulalongkorn University Theses and Dissertations (Chula ETD)
The Einstein equation is a field equation which describes gravity in terms of the curvature of spacetime. It states how matter curves spacetime. The solutions of the Einstein field equation are the metrics of spacetime from which the curvature of spacetime can be found. The field equations are non-linear, which are complicated to solve. Therefore, some assumptions are needed to reduce the complexity of the Einstein equation. One of these assumptions is a perfect fluid sphere. Perfect fluid sphere satisfies the following: no viscosity, no heat conduction, and isotropy. Perfect fluid black holes are black hole solutions of the Einstein …
A Two-Stage Model For Balancing Instructor Workload And Teaching Preference In University Course Timetabling, Nipitta Burana
A Two-Stage Model For Balancing Instructor Workload And Teaching Preference In University Course Timetabling, Nipitta Burana
Chulalongkorn University Theses and Dissertations (Chula ETD)
This thesis focuses on balancing instructor workload and maximizing preferences by using the data in the first semester of 2019 from Department of Mathematics and Computer Science,Faculty of Science, Chulalongkorn University as a case study. Since there are many instructors with over-workload in the department which directly affect their research qualities, balancing teaching workload is the main objective of this study. The proposed approach to balance workload is to split some basic courses into two parts: before midterm and after midterm and then assign each course to two instructors. Moreover, the preferences or the requests of teaching a course are …
Cops And Robbers On Hypergraphs, Pinkaew Siriwong
Cops And Robbers On Hypergraphs, Pinkaew Siriwong
Chulalongkorn University Theses and Dissertations (Chula ETD)
Cops and robbers game is a game usually played on a finite connected graphwith two players, cop and robber. Recently, cops and robbers game played on hypergraphs was introduced. To give a better chance to a cop by allowing morethan one cop and at least one cop has to move, the cop-number, the least numberof cops to guarantee that they win the game, on graphs and hypergraphs is studied.This thesis provides (i) a characterization of a cop-win hypergraph (ii) some results on the products of hypergraphs and (iii) the cop-number of complete k-partite hypergraphs and n-prisms over a hypergraph. Moreover, …
Graph And Number Theoretic Properties Of Certain Maps Over Finite Field, Pratchayaporn Doemlim
Graph And Number Theoretic Properties Of Certain Maps Over Finite Field, Pratchayaporn Doemlim
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we study the graph over a finite field $\mathbb{F}_q$, where $q$ is a prime power, obtained by iterations of the map $g(x)=x^p$, where $p$ is a prime number. Some properties of the graphs such as a characterization of their vertices and the number of cycles with specific length are showed. Moreover, some statistical estimates about the tail and cycle lengths of the related graphs are established.
Graph Grabbing Games And Toucher-Isolator Games, Sopon Boriboon
Graph Grabbing Games And Toucher-Isolator Games, Sopon Boriboon
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this research, we study the graph grabbing game and the Toucher-Isolator game. In the graph grabbing game, we partially confirm a conjecture of Seacrest and Seacrest which states that Alice wins the game on every weighted connected bipartite even graph. In the Toucher-Isolator game, we give a simple alternative proof of a result of Räty that determines the most suitable tree on n vertices for Toucher which answers a question of Dowden, Kang, Mikalački and Stojaković.
Stochastic Differential Equation Models On Sphere For Animal Migration, Viput Puttanugool
Stochastic Differential Equation Models On Sphere For Animal Migration, Viput Puttanugool
Chulalongkorn University Theses and Dissertations (Chula ETD)
Animal migration is a seasonal movement of a bundle of animals from place to place. A migration cycle is often annually and closely linked with the cyclic pattern of seasons. A short-distance migration can be modeled on a planar surface, but most animals have long-distance migrations, e.g., Arctic terns migrate from the North Pole to the South Pole; thus, their migration should be modeled on a spherical surface. In addition, the Brownian motion term is included in a model to represent noises and randomness of movements. This work aims to simulate their migration routes using stochastic differential equations (SDEs) on …
Improved Adaptive Fractional Order Differential Method For Medical Image Enhancement, Wasin Tranghiranyathorn
Improved Adaptive Fractional Order Differential Method For Medical Image Enhancement, Wasin Tranghiranyathorn
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this work, we propose a construction of a new 5x5 fractional order differential mask that uses sixteen directions of gradient operator and weights each pixel in the mask by the Euclidean distance from the center of the mask. Then, we apply this new mask to the Adaptive Fractional Differential Algorithm (AFDA). The AFDA allows the optimal fractional order of each pixel to be obtained using an adaptive function constructed based on the area feature of image. Experimental results for medical images, show that the AFDA with the new mask gives better image enhancement than the original AFDA. It makes …
Knight's Tours On Ringboards, Deficient 4 X N Chessboards And Some L-Boards, Wasupol Srichote
Knight's Tours On Ringboards, Deficient 4 X N Chessboards And Some L-Boards, Wasupol Srichote
Chulalongkorn University Theses and Dissertations (Chula ETD)
A (legal) knight's move is the result of moving the knight two squares horizontally or vertically on the board and then turning and moving one square in a perpendicular direction. A closed knight's tour is a sequence of knight's moves that visits every square on a given chessboard exactly once and returns to its start square. A closed knight's tour and its variations are studied widely over the rectangular chessboard or a three-dimensional rectangular box. For m,n > 2r, an (m,n,r)-ringboard or RB(m,n,r) is defined to be an m x n chessboard, denoted by CB(m x n), with the middle part …
Strict Stability Of Fixed Points And Iteration Schemes, Kittisak Tontan
Strict Stability Of Fixed Points And Iteration Schemes, Kittisak Tontan
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we introduce the concept of a strictly stable fixed point of a selfmap and investigate the relationship among various types of fixed point stability. We prove that all fixed point of a quasi-nonexpansive map is strictly stable and extend the concept of a strictly stable fixed point of a selfmap to an iteration scheme. We introduce the concept of convexly strictly stable fixed points of selfmaps and apply it to obtain virtual stability of some well-known iteration schemes in a convex subset of a Banach space.
Harmonic Analysis Of Riesz-Type Transforms Arising In Nonlocal Partial Differential Equations, Sasikarn Yeepo
Harmonic Analysis Of Riesz-Type Transforms Arising In Nonlocal Partial Differential Equations, Sasikarn Yeepo
Chulalongkorn University Theses and Dissertations (Chula ETD)
where s ∈ (0, 1) and g is a given function, has been widely studied under different assumptions on the kernel K. In this work, we introduce an operator associated to the above nonlocal equation via Riesz potential. Under assumptions that K is measurable, symmetric and elliptic, we obtain that such an operator is a CalderónZygmund operator
Positive Labeled And Unlabeled Learning Methods Of Meta-Path Based Functional Profiles For Predicting Drug-Disease Associations, Thitipong Kawichai
Positive Labeled And Unlabeled Learning Methods Of Meta-Path Based Functional Profiles For Predicting Drug-Disease Associations, Thitipong Kawichai
Chulalongkorn University Theses and Dissertations (Chula ETD)
Drug repositioning, discovering new indications for existing drugs, is a competent strategy to reduce time, costs, and risk in drug discovery and development. Many computational methods have been developed to identify new drug-disease associations for further validation and drug development. A recent approach showing superior performance with less required data is a meta-path based approach, which derives network-based information using path patterns from drug to disease nodes. However, existing meta-path based methods discard information of intermediate nodes along paths, which are important indicators for describing relationships between drugs and diseases. With known (positive) and unknown (unlabeled) drug-disease associations, this research …
Quaternion Algebras Over Some Extensions Of Function Fields, Silipong Thongmeepun
Quaternion Algebras Over Some Extensions Of Function Fields, Silipong Thongmeepun
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we study quaternion algebras over rational function fields over finite fields of odd order. [It is known that a quaternion algebra is either the algebra of 2x2- matrices or a division algebra.] We determine conditions for quaternion algebras of the form(symbol) to be division algebras and conditions for quaternion algebras to split after the constant quadratic field extension.
Classification Of Main Components In Airports From Remote Sensing Images By Efficient Network, Pimpisa Charoenchittang
Classification Of Main Components In Airports From Remote Sensing Images By Efficient Network, Pimpisa Charoenchittang
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we classify the type of main components in airports from the remote sensing images. This datasets is considered as an interesting information since the same type of component may have different shape, size, and color. EfficientNet architecture is the deep learning architecture to use in this research due to the small number of parameters and computational time compared to the other architectures with similar accuracy. In our experiment, we apply the EfficientNet in versions B0, B1, B2, B3, and B4 to classify four types of components in the airport; the passenger terminal, the radio tower, the runway, …
Discrete-Time Risk Model Based On Zero Inflated Poisson Time Series, Siwarak Sawongnam
Discrete-Time Risk Model Based On Zero Inflated Poisson Time Series, Siwarak Sawongnam
Chulalongkorn University Theses and Dissertations (Chula ETD)
An important goal of actuary is to develop models for company portfolio and insurance products. Risk measurement is one of the essential measures that inform actuaries and risk managers about the degree to which the risk bearing entity. To have precise risk measure, we require an appropriate claim count process. The common claim count processes are usually constructed from the Poisson distribution. However, insurance data have generally excess zeros which causes the overdispersion. This violates the assumption of the Poisson distribution. Therefore, alternative distributions accommodating zero count are explored in literature. The zero inflated Poisson distribution is one of the …
Cardinal Characteristics Associated With Families Of Functions And Permutations, Nattapon Sonpanow
Cardinal Characteristics Associated With Families Of Functions And Permutations, Nattapon Sonpanow
Chulalongkorn University Theses and Dissertations (Chula ETD)
The Continuum Hypothesis (CH) states that the size of the set of real numbers c is the least uncountable cardinal, i.e. c = N₁. In the absence of CH, it is possible that there are cardinals that lie between N₁ and c. Many of them are cardinals of infinite families related to some concepts in infinite combinatorics, called cardinal characteristics. Most of these cardinals are defined on families of infinite sets of natural numbers. We study families of functions and permutations on the set of natural numbers with some combinatorial properties and associated cardinal characteristics. We give relations among these …
Augmented Sensors For Particulate Matter Concentration Prediction Using Supervised Learning Models, Chadaphim Photphanloet
Augmented Sensors For Particulate Matter Concentration Prediction Using Supervised Learning Models, Chadaphim Photphanloet
Chulalongkorn University Theses and Dissertations (Chula ETD)
Particulate matter concentration prediction models have been researched, developed, and applied to data from various topography around the world. The characteristics of different topography make a model suitable for each specific topography. This dissertation proposes a novel method to predict particulate matter concentration with a diameter smaller than 10 microns in Nan Province of Thailand that integrates feature selection method, supervised learning model, and modified depth-first search algorithm. Unlike the traditional supervised learning models, the proposed method is able to accept multi-dimensional data as input which consist of particulate matter concentration, air pollutants, and air qualities. These features are the …
Bayesian Models For Poverty Mapping In Thailand, Sarasinee Somjettana
Bayesian Models For Poverty Mapping In Thailand, Sarasinee Somjettana
Chulalongkorn University Theses and Dissertations (Chula ETD)
Poverty maps are important sources of information for solving social, economic, and environmental problems. Initially, the World Bank used the ELL method to produce poverty maps for used in designing, targeting, prioritizing interventions and allocating the budgets for underdeveloped countries. Even though the ELL method has been shown to have many advantages in poverty mapping, it does not use a survey for the most benefit. Therefore, the Empirical Bayes (EB) method and the hierarchical Bayes (HB) method were proposed in literature. In another aspect, Louis shows that the usual Bayes has a limitation. Therefore, he proposed a new method called …
Aircraft Detection Using Single Shot Scale-Invariant Face Detector With Viridis Saliency Map From Remote Sensing Image, Teepakorn Lilek
Aircraft Detection Using Single Shot Scale-Invariant Face Detector With Viridis Saliency Map From Remote Sensing Image, Teepakorn Lilek
Chulalongkorn University Theses and Dissertations (Chula ETD)
Aircraft detection from remote sensing images is a useful task and essential in many fields; for example, in the military, aircraft detection systems are used to search and inspect an enemy aircraft from remote sensing images. Nowadays, aircraft detection from remote sensing images has gained increasing research attention because this task is very challenging. This task is difficult due to many occurred problems in remote sensing images, such as a shadow, a complicated background, and various aircraft scales. In this research, we create a Viridis saliency map using many techniques from image processing such as color mapping, morphological image processing, …
Long-Time Behavior Of A Nonlocal Dispersal Equation, Aussacha Dintawong
Long-Time Behavior Of A Nonlocal Dispersal Equation, Aussacha Dintawong
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, study the nonlocal dispersal equation [equation] with a non-homogeneous boundary condition. We generalize the result of J.W. Sun (2015), where in this work the kernel J has a non-compact support. The global well-posedness and comparison principles (both time-dependent and stationary problems) are established. The main result is the long-time behavior of solutions, which is proved to depend on the boundary data.
Uniform Distribution Of Fractional Parts Of Average Of Kth Power Of Prime Divisors, Chitpanu Chairatanagul
Uniform Distribution Of Fractional Parts Of Average Of Kth Power Of Prime Divisors, Chitpanu Chairatanagul
Chulalongkorn University Theses and Dissertations (Chula ETD)
In this thesis, we prove that for every positive integer k greater than or equal to two, the sequence of the fractional parts of the arithmetic mean of the kth power of prime divisors of n counted with or without multiplicity, as n runs through all positive integers, is uniformly distributed modulo one.