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MATHEMATICAL ANALYSIS OF VEHICLE DELIVERY SCALE OF BIKE-SHARING RENTAL NODES
Bike-sharing Vehicle Delivery Scale of Rental Nodes Markov Chain Steady State Scale Virtual Two-Node Vehicle Scale Solution Algorithm
2018/5/16
Aiming at the lack of scientific and reasonable judgment of vehicles delivery scale and insufficient optimization of scheduling decision, based on features of the bike-sharing usage, this paper analys...
Factor analysis is over a century old, but it is still problematic to choose
the number of factors for a given data set. The scree test is popular but subjective. The best performing objective method...
CRCD program: convex optimization for engineering analysis and design
Convex optimization engineering analysis the numerical values
2015/8/11
The focus of this NSF-supported combined research and curriculum development (CRCD) project is convex optimization applied to engineering analysis and design. The basic idea is that many analysis and ...
MATHEMATICAL DEVELOPMENTS FROM THE ANALYSIS OF RIFFLE SHUFFLING
Mathematical analysis development ripples shuffling
2015/7/8
Introduction The most common method of mixing cards is the ordinary riffle shuffle, in which a deck of n cards (often n = 52) is cut into two parts and the
parts are riffled together. A sharp mathema...
Micro-local Analysis for the Metropolis Algorithm
Convergence rate algorithm random eigenvalues and eigenvectors
2015/7/8
We prove sharp rates of convergence to stationarity for a simple case of the Metropolis algorithm: the placement of a single disc of radius h randomly into the
interval [−1 − h, 1 + h], w...
On the spectral analysis of second-order Markov chains
second order Markov chains trajectorial reversibility spectrum of non-reversible Markov kernels spectral gap improvement of speed of convergence discrete position-speed Markov chains homogeneous and Abelian second order Markov chains
2015/7/7
Second order Markov chains which are trajectorially reversible are considered. Contrary to the reversibility notion for usual Markov chains, no symmetry property can be deduced for the corresponding t...
A Spectral Analysis Approach for Experimental Designs
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments. Several examples are worked out in detail including a thorough analysis of Calvin's famous ice cream data.
2015/7/7
In this paper we show how the approach of spectral analysis generalizes the standard ANOVA-based techiques for studying data from designed experiments.Several examples are worked out in detail, includ...
Mathematical analysis of a two-dimensional population model of metastatic growth including angiogenesis
2D structured populations semigroup asymptotic behavior malthus parameter
2010/12/6
Angiogenesis is a key process in the tumoral growth which allows the cancerous tissue to impact on its vasculature in order to improve the nutrient’s supply and the metastatic process. In this paper, ...
Analysis of semidiscretization of the compressible Navier-Stokes equations
Navier-Stokes equations barotropic compressible viscous fluid weak solution
2010/12/7
The objective of this work is to present the existence result of for the nonsteady compressible Navier-Stokes equations via time discretization. We consider the two-dimensional case with a slip bounda...
Pair-Wise Cluster Analysis
2010/12/15
This paper studies the problem of learning clusters which are consistently present in different (continuously valued) representations of observed data. Our setup differs slightly from the standard app...
In this paper we propose a new framework for Non-standard Analysis ([4]) in terms of category theory ([3],[1]).
Performance Analysis and Design of Two Edge Type LDPC Codes for the BEC Wiretap Channel
Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We consider transmission over a wiretap channel where both the main channel and the wiretapper’s channel are Binary Erasure Channels (BEC).
Performance Analysis of Pulse Shaping Technique for OFDM PAPR Reduction
OFDM, PAPR sub-carriers pulse shaping multipath channels
2010/12/13
Orthogonal Frequency Division Multiplexing (OFDM) is an attractive modulation and multiple access techniques for channels with a nonflat frequency response, as it saves the need for complex equalizers...
Analysis of Width-$w$ Non-Adjacent Forms to Imaginary Quadratic Bases
-adic expansions non-adjacent forms redundant digit sets
2010/11/29
We consider digital expansions to the base of , where is an algebraic integer. For a w 2, the set of admissible digits consists of 0 and one representative of every residue class modulo w which ...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...