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2011

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Articles 1 - 30 of 85

Full-Text Articles in Other Mathematics

Lagrange's Theory Of Analytical Functions And His Ideal Of Purity Of Method, Giovanni Ferraro, Marco Panza Dec 2011

Lagrange's Theory Of Analytical Functions And His Ideal Of Purity Of Method, Giovanni Ferraro, Marco Panza

MPP Published Research

We reconstruct essential features of Lagrange’s theory of analytical functions by exhibiting its structure and basic assumptions, as well as its main shortcomings. We explain Lagrange’s notions of function and algebraic quantity, and we concentrate on power-series expansions, on the algorithm for derivative functions, and the remainder theorem—especially on the role this theorem has in solving geometric and mechanical problems. We thus aim to provide a better understanding of Enlightenment mathematics and to show that the foundations of mathematics did not, for Lagrange, concern the solidity of its ultimate bases, but rather purity of method—the generality and internal organization of …


Density Dependent Utilities With Transaction Costs, Eriyoti Chikodza, Julius N Esunge Dec 2011

Density Dependent Utilities With Transaction Costs, Eriyoti Chikodza, Julius N Esunge

Communications on Stochastic Analysis

No abstract provided.


Consistent Price Systems For Bounded Processes, Florian Maris, Eric Mbakop, Hasanjan Sayit Dec 2011

Consistent Price Systems For Bounded Processes, Florian Maris, Eric Mbakop, Hasanjan Sayit

Communications on Stochastic Analysis

No abstract provided.


A Martingale Representation For The Maximum Of A Lévy Process, Bruno Rémillard, Jean-François Renaud Dec 2011

A Martingale Representation For The Maximum Of A Lévy Process, Bruno Rémillard, Jean-François Renaud

Communications on Stochastic Analysis

No abstract provided.


Changes Of Measure And Representations Of The First Hitting Time Of A Bessel Process, Gerardo Hernandez-Del-Valle Dec 2011

Changes Of Measure And Representations Of The First Hitting Time Of A Bessel Process, Gerardo Hernandez-Del-Valle

Communications on Stochastic Analysis

No abstract provided.


A Connection Between The Poissonian Wick Product And The Discrete Convolution, Alberto Lanconelli, Luigi Sportelli Dec 2011

A Connection Between The Poissonian Wick Product And The Discrete Convolution, Alberto Lanconelli, Luigi Sportelli

Communications on Stochastic Analysis

No abstract provided.


Stochastic Analysis Of Backward Tidal Dynamics Equation, Hong Yin Dec 2011

Stochastic Analysis Of Backward Tidal Dynamics Equation, Hong Yin

Communications on Stochastic Analysis

No abstract provided.


Intraday Empirical Analysis Of Electricity Price Behaviour, Eckhard Platen, Jason West Dec 2011

Intraday Empirical Analysis Of Electricity Price Behaviour, Eckhard Platen, Jason West

Communications on Stochastic Analysis

No abstract provided.


The Minimal Martingale Measure For The Price Process With Poisson Shot Noise Jumps, Jun Yan Dec 2011

The Minimal Martingale Measure For The Price Process With Poisson Shot Noise Jumps, Jun Yan

Communications on Stochastic Analysis

No abstract provided.


Mrm-Applicable Measures For The Power Function Of The Second Order, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli Dec 2011

Mrm-Applicable Measures For The Power Function Of The Second Order, Izumi Kubo, Hui-Hsiung Kuo, Suat Namli

Communications on Stochastic Analysis

No abstract provided.


Squaring, Cubing, And Cube Rooting, Arthur T. Benjamin Sep 2011

Squaring, Cubing, And Cube Rooting, Arthur T. Benjamin

All HMC Faculty Publications and Research

We present mentally efficient algorithms for mentally squaring and cubing 2-digit and 3-digit numbers and for finding cube roots of numbers with 2-digit or 3-digit answers.


Phase History Decomposition For Efficient Scatterer Classification In Sar Imagery, Dane F. Fuller Sep 2011

Phase History Decomposition For Efficient Scatterer Classification In Sar Imagery, Dane F. Fuller

Theses and Dissertations

A new theory and algorithm for scatterer classification in SAR imagery is presented. The automated classification process is operationally efficient compared to existing image segmentation methods requiring human supervision. The algorithm reconstructs coarse resolution subimages from subdomains of the SAR phase history. It analyzes local peaks in the subimages to determine locations and geometric shapes of scatterers in the scene. Scatterer locations are indicated by the presence of a stable peak in all subimages for a given subaperture, while scatterer shapes are indicated by changes in pixel intensity. A new multi-peak model is developed from physical models of electromagnetic scattering …


Approximations Of Fractional Stochastic Differential Equations By Means Of Transport Processes, Johanna Garzón, Luis G Gorostiza, Jorge A León Sep 2011

Approximations Of Fractional Stochastic Differential Equations By Means Of Transport Processes, Johanna Garzón, Luis G Gorostiza, Jorge A León

Communications on Stochastic Analysis

No abstract provided.


Twin Mrm-Triples In Multiplicative Renormalization Method, Izumi Kubo, Hui-Hsiung Kuo Sep 2011

Twin Mrm-Triples In Multiplicative Renormalization Method, Izumi Kubo, Hui-Hsiung Kuo

Communications on Stochastic Analysis

No abstract provided.


Weak Convergence For Approximation Of American Option Prices, Weiping Li, Mei Xing Sep 2011

Weak Convergence For Approximation Of American Option Prices, Weiping Li, Mei Xing

Communications on Stochastic Analysis

No abstract provided.


Risk Indifference Pricing Of Functional Claims Of The Yield Surface In The Presence Of Partial Information, Ta Thi Kieu An, Frank Proske, Mark Rubtsov Sep 2011

Risk Indifference Pricing Of Functional Claims Of The Yield Surface In The Presence Of Partial Information, Ta Thi Kieu An, Frank Proske, Mark Rubtsov

Communications on Stochastic Analysis

No abstract provided.


A Stochastic Lagrangian Particle Model And Nonlinear Filtering For Three Dimensional Euler Flow With Jumps, Sivaguru S Sritharan, Meng Xu Sep 2011

A Stochastic Lagrangian Particle Model And Nonlinear Filtering For Three Dimensional Euler Flow With Jumps, Sivaguru S Sritharan, Meng Xu

Communications on Stochastic Analysis

No abstract provided.


General Alpha-Wiener Bridges, Mátyás Barczy, Peter Kern Sep 2011

General Alpha-Wiener Bridges, Mátyás Barczy, Peter Kern

Communications on Stochastic Analysis

No abstract provided.


Cornish-Fisher Expansions For Poisson And Negative Binomial Processes, Christopher S Withers, Saralees Nadarajah Sep 2011

Cornish-Fisher Expansions For Poisson And Negative Binomial Processes, Christopher S Withers, Saralees Nadarajah

Communications on Stochastic Analysis

No abstract provided.


Short-Time Asymptotics Of One-Dimensional Harris Flows, Alexander Shamov Sep 2011

Short-Time Asymptotics Of One-Dimensional Harris Flows, Alexander Shamov

Communications on Stochastic Analysis

No abstract provided.


Stationary Distributions Of The Bernoulli Type Galton-Watson Branching Process With Immigration, Yoshinori Uchimura, Kimiaki Saitô Sep 2011

Stationary Distributions Of The Bernoulli Type Galton-Watson Branching Process With Immigration, Yoshinori Uchimura, Kimiaki Saitô

Communications on Stochastic Analysis

No abstract provided.


Final Exam, Robert Dawson Jul 2011

Final Exam, Robert Dawson

Journal of Humanistic Mathematics

When setting an examination, the instructor should always keep in mind who is going to be writing it!


I Am A Number, Sarah Glaz Jul 2011

I Am A Number, Sarah Glaz

Journal of Humanistic Mathematics

No abstract provided.


Pedagogy On The Ethnomathematics--Epistemology Nexus: A Manifesto, Ilhan M. Izmirli Jul 2011

Pedagogy On The Ethnomathematics--Epistemology Nexus: A Manifesto, Ilhan M. Izmirli

Journal of Humanistic Mathematics

In this paper, we will elaborate on a pronouncement that should be at the onset of any study in epistemology and ethnomathematics, namely, we will argue that learners do think mathematically and it is our responsibility as educators to recognize and appreciate their modes of mathematical reasoning.

We will conduct our study in five parts. Following a brief introduction, in the second part, we will briefly discuss some of the critical tenets of epistemology especially as it applies to mathematics. The third part will be devoted to elucidating the basic nomenclature and hypotheses associated with ethnomathematics. In the fourth part …


Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang Jun 2011

Asymptotic Properties Of Stochastic Partial Differential Equations In Hilbert Spaces Driven By Non-Gaussian Noise, V Mandrekar, Li Wang

Communications on Stochastic Analysis

No abstract provided.


On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández Jun 2011

On The Value Of Stochastic Differential Games, Wendell H Fleming, Daniel Hernández-Hernández

Communications on Stochastic Analysis

No abstract provided.


An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy Jun 2011

An Extension Of Bifractional Brownian Motion, Xavier Bardina, Khalifa Es-Sebaiy

Communications on Stochastic Analysis

No abstract provided.


Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta Jun 2011

Cdo Tranche Sensitivities In The Gaussian Copula Model, Chao Meng, Ambar N Sengupta

Communications on Stochastic Analysis

No abstract provided.


Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee Jun 2011

Integration By Parts Formula And The Stein Lemma On Abstract Wiener Space, Hui-Hsiung Kuo, Yuh-Jia Lee

Communications on Stochastic Analysis

No abstract provided.


Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario Jun 2011

Erratum: Absolute Continuity Of Laws For Semilinear Stochastic Equations With Additive Noise (Cosa, Vol. 2, No. 2 (2008) 209–227) [Mr2446690], Benedetta Ferrario

Communications on Stochastic Analysis

No abstract provided.