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Now showing items 1-10 of 68

#### Minimizing the Dissatisfaction Score in the Mentor Mentee Problem Using a Variation of the Deferred Acceptance Procedure

(2016)

Matching games are the models for a number of economic markets. Gale and Shapley’s marriage game is among the most well-known of these matching games in which the object is to pair members from two different sets, in a ...

#### Modeling Mutualism and Competition in Interactive Population Dynamics: How Ants and Aphids Affect Lycaenid Butterfly Ecology

(2014)

Modeling population dynamics that include mutualistic interactions is an important and complex
problem in theoretical biology and quantitative ecology. Mutualistic interactions, which are
generally considered relationships ...

#### Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation

(2013)

I derive the general relativistic metric in terms of Newtonian potentials. The result
simplifies addition of metrics. Metric operations are derived. I further hypothesize that the
symmetric metric could represent an ...

#### Ordering and Self-Similarity in Non-Binary Trees

(2017)

Ordering and self-similarity in binary trees has been well-studied. Self-similarity was first observed in river networks, and has since been shown to have many useful properties and modeling applications, from leaf vein ...

#### A fast characteristic finite difference method for fractional advection-diffusion equations with non-linear reaction.

(2014)

Contaminant transport in porous media can be modeled with fractional differential equations. This approach results in early arrival of contaminants and heavy-tail distributions observed in field experiments. The implicit ...

#### Asymptotic Distribution of the Estimated Cumulative Distribution Function of the Bivariate Distribution with Truncated Logistic and Geometric Marginals

(2012)

Let X<sub>1</sub>,X<sub>2</sub>, . . . be i.i.d. exp(&beta) and N geo(p) independent of X<sub>i<sub>'s. We are interestedin the bivariate distribution of (X,N) where X = max X<sub>i</sub> and N. The distribution of (X,N) ...

#### The role of spatiotemporal correlations in the encoding and retrieval of synaptic patterns by STDP in recurrent spiking networks

(2011)

Spike-timing dependent plasticity (STDP) is considered to be an important synaptic mechanism to encode information within and between cerebral cortical networks. It remains unclear, however, how temporal and spatial ...

#### Application of Stochastic Models to Growth and Decline Episodes of Financial Data

(2011)

In this thesis work, we analyze fit of bivariate BEG and BTLG models to financial asset returns' episodes of growth and decline. Our data include foreign exchange rates, stock, and stock's indexes prices, and commoditites. ...

#### Finite Field Extensions of the p-adic Numbers

(2011)

When we complete the rational numbers Q with respect to the usual absolute value, we obtain the real numbers R. If we complete Q with respect to the so-called p-adic absolute value, we get a new field, Qp. In this paper, ...

#### Semi-Analytical Solution Techniques

(2010)

Differential Equations can only be solved exactly in limited number of cases. In general equations must be solved numerically or approximately. In this work we consider two approximate methods: Approximate-Iterative Method ...