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Showing 1 to 12 of 12 for “"MATHEMATICS::Other mathematics"”.
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Mathematic Teachers’ Lived Experiences of Teachable Moments
… potential. The study sought to interpret K–12 mathematics teachers’ lived experiences with teachable moments. More specifically: What is it like for K–12 teachers teaching mathematics to experience teachable moments? How is it like for these teachers to notice teachable moments? In what ways do …
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Opial's Inequality on Time Scales and an Application
<p>In view of the recently developed theory of calculus for dynamic equations on time scales (which unifies discrete and continuous systems), in this project we give some basic Opial type dynamic Inequalities. We discuss the background developed for Opial Inequalities which have many important …
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Computational Study of Kernel - Based Interior - Point Method for LCP
<p>One of mathematical problems, that have many practical applications, is the well-known linear complementary problem (LCP) which consists of finding a certain vector that satisfy a set of linear inequalities and complementary equation. In this thesis, after introducing and analyzing a …
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Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems
… methods. It is different from perturbation or other analytical methods in that it allows considerable freedomformanyvariables. Using the modified HAM, especially zero-order and higher-order deformation equations, we solve a nonlinear initial value problem and a nonlinear eigenvalue problem. We …
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Improved Full-Newton-Step Infeasible Interior-Point Method for Linear Complementarity Problems
… is guaranteed with a more strict upper bound. Another advantage of this method is that it uses full-Newton steps, which means that no calculation of the step size is required at each iteration and that the cost is decreased. The implementation and numerical results demonstrate the reliability of …
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The Distribution of Individual Stock Returns in a Modified Black-scholes Option Pricing Model
<p> Author's abstract: There have been many attempts to find a model that can accurately price options. These models are built on many assumptions, including which probability distribution stock returns follow. In this paper, we test several distributions to see which best fit the log returns of 20 …
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Unilinear Residuated Lattices
<p>We characterize all residuated lattices that have height equal to 3 and show that the variety they generate has continuum-many subvarieties. More generally, we study unilinear residuated lattices: their lattice is a union of disjoint incomparable chains, with bounds added. We give the …
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Radio Number for Fourth Power Paths
<p>A path on n vertices, denoted by Pn, is a simple graph whose vertices can be ordered so that two vertices are adjacent if and only if they are consecutive in the order. A fourth power path, Pn4, is obtained from Pn by adding edges between any two vertices, u and v, whose distance in Pn, denoted …
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The Martingale Approach to Financial Mathematics
… develop the fundamental properties of financial mathematics, with a focus on establishing meaningful connections between martingale theory, stochastic calculus, and measure-theoretic probability. We first consider a simple binomial model in discrete time, and assume the impossibility of earning a …
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Exponential Random Graphs and a Generalization of Parking Functions
… work of Konheim and Weiss in the 1960s. Among other things, we explore the connections that bioutcomes of interval parking functions have to various partial orders on the symmetric group on n letters including the (left) weak order, (strong) Bruhat order, and the bubble-sorting order.</p>
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Rigid Body Constrained Motion Optimization and Control on Lie Groups and Their Tangent Bundles
<p>Rigid body motion requires formulations where rotational and translational motion are accounted for appropriately. Two Lie groups, the special orthogonal group SO(3) and the space of quaternions H, are commonly used to represent attitude. When considering rigid body pose, that is spacecraft …
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Discrepancy Inequalities in Graphs and Their Applications
… is motivated by parallel computing and other communication networks. Consider a connected graph <em>G</em>, with a pebble placed on each vertex of <em>G</em>. The routing number, <em>rt(G)</em>, of <em>G</em> is the minimum number of steps needed to route any permutation on the vertices …