Other Mathematics Commons^™

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

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

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

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

Los Modelos De Equilibrio General: La Revisión De Chancelier Y Una Crítica A Debreu Y Mckenzie, Rodrigo Lopez-Pablos

Lopez-Pablos, Rodrigo

A revision on general equilibrium theory from an entropic perspective. JEL CLASSIFICATION: D50, O21, Z19

Resolutions Of The Steinberg Module For Gl(N), Avner Ash, Paul E. Gunnells, Mark Mcconnell

Paul Gunnells

We give several resolutions of the Steinberg representation St_n for the general linear group over a principal ideal domain, in particular over Z. We compare them, and use these results to prove that the computations in [AGM4] are definitive. In particular, in [AGM4] we use two complexes to compute certain cohomology groups of congruence subgroups of SL(4,Z). One complex is based on Voronoi's polyhedral decomposition of the symmetric space for SL(n,R), whereas the other is a larger complex that has an action of the Hecke operators. We prove that both complexes allow us to compute the relevant cohomology groups, and …

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

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 …

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

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.

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

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

Communications on Stochastic Analysis

No abstract provided.

General Alpha-Wiener Bridges, Mátyás Barczy, Peter Kern

Communications on Stochastic Analysis

No abstract provided.

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

Journal of Humanistic Mathematics

No abstract provided.

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 …

Applications Of Local Fractional Calculus To Engineering In Fractal Time-Space: Local Fractional Differential Equations With Local Fractional Derivative, Yang Xiao-Jun

Xiao-Jun Yang

This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing equations with local fractional derivative.

A Short Introduction To Local Fractional Complex Analysis, Yang Xiao-Jun

Xiao-Jun Yang

This paper presents a short introduction to local fractional complex analysis. The generalized local fractional complex integral formulas, Yang-Taylor series and local fractional Laurent’s series of complex functions in complex fractal space, and generalized residue theorems are investigated.

Fractional Trigonometric Functions In Complex-Valued Space: Applications Of Complex Number To Local Fractional Calculus Of Complex Function, Yang Xiao-Jun

Xiao-Jun Yang

This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.

A New Viewpoint To The Discrete Approximation: Discrete Yang-Fourier Transforms Of Discrete-Time Fractal Signal, Yang Xiao-Jun

Xiao-Jun Yang

It is suggest that a new fractal model for the Yang-Fourier transforms of discrete approximation based on local fractional calculus and the Discrete Yang-Fourier transforms are investigated in detail.