Stiefel And Grassmann Manifolds In Quantum Chemistry,
2012
Instituto Argentino de Matematica
Stiefel And Grassmann Manifolds In Quantum Chemistry, Eduardo Chiumiento, Michael Melgaard
Articles
We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slatertype variational spaces in many-particle Hartree-Fock theory and beyond. In particular, we prove thatthey are analytic homogeneous spaces and submanifolds of the space of bounded operators on the single-particle Hilbert space. As a by-product we obtain that they are complete Finsler manifolds. These geometric properties underpin state-of-the-art results on existence of solutions to Hartree-Fock type equations.
The Discrete Yang-Fourier Transforms In Fractal Space,
2012
China University of Mining & Technology
The Discrete Yang-Fourier Transforms In Fractal Space, Yang Xiao-Jun
Xiao-Jun Yang
The Yang-Fourier transform (YFT) in fractal space is a generation of Fourier transform based on the local fractional calculus. The discrete Yang-Fourier transform (DYFT) is a specific kind of the approximation of discrete transform, used in Yang-Fourier transform in fractal space. This paper points out new standard forms of discrete Yang-Fourier transforms (DYFT) of fractal signals, and both properties and theorems are investigated in detail.
Expression Of Generalized Newton Iteration Method Via Generalized Local Fractional Taylor Series,
2012
China University of Mining & Technology
Expression Of Generalized Newton Iteration Method Via Generalized Local Fractional Taylor Series, Yang Xiao-Jun
Xiao-Jun Yang
Local fractional derivative and integrals are revealed as one of useful tools to deal with everywhere continuous but nowhere differentiable functions in fractal areas ranging from fundamental science to engineering. In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line numbers on a fractal space are induced from Cantor set to fractional set. Existence for a generalized fixed point on generalized metric spaces may take place.
Using Predictive Analytics To Detect Major Problems In Department Of Defense Acquisition Programs,
2012
Air Force Institute of Technology
Using Predictive Analytics To Detect Major Problems In Department Of Defense Acquisition Programs, Austin W. Dowling
Theses and Dissertations
This research provides program analysts and Department of Defense (DoD) leadership with an approach to identify problems in real-time for acquisition contracts. Specifically, we develop optimization algorithms to detect unusual changes in acquisition programs’ Earned Value data streams. The research is focused on three questions. First, can we predict the contractor provided estimate at complete (EAC)? Second, can we use those predictions to develop an algorithm to determine if a problem will occur in an acquisition program or subprogram? Lastly, can we provide the probability of a problem occurring within a given timeframe? We find three of our models establish …
A Women-Only Comparision Of The U.S. Air Force Fitness Test And The Marine Combat Fitness Test,
2012
Air Force Institute of Technology
A Women-Only Comparision Of The U.S. Air Force Fitness Test And The Marine Combat Fitness Test, Tarah D. Mitchell
Theses and Dissertations
In 2009, Captain Thomas Worden determined the Air Force Physical Fitness Test (AFPFT) poorly predicted combat capability for his 86 study participants. With only 5 of these 86 volunteers being women, this limited Worden's findings to primarily men. This follow-on research investigated whether these results carried over to women. We recruited 61 female volunteers and compared their performance on the AFPFT to the Marine Combat Fitness Test, the proxy for combat capability. Like Worden's research, we discovered little association between the two (R2 of 0.161). However, this association significantly increased (adj R2 of 0.572) when utilizing the raw …
Mean Value Theorems For Local Fractional Integrals On Fractal Space,
2012
Department of Computer Engineering, Guangxi Modern Vocational Technology College
Mean Value Theorems For Local Fractional Integrals On Fractal Space, Guang-Sheng Chen
Guang-Sheng Chen
–The theory of calculus was extended to local fractional calculus involving fractional order. Local fractional calculus (also called Fractal calculus) has played a significant part not only in mathematics but also in physics and engineers. The main purpose of this paper is to further extend some mean value theorems in Fractal space, by Abel's lemma, definition of Local fractional integrals and using some properties of Local fractional integral . In the paper, we present some properties of Local fractional integral. By using it, we establish the generalized first mean value theorem and the generalized second mean value theorem for Local …
Local Fractional Improper Imtegral On Fractal Space,
2012
Department of Computer Engineering, Guangxi Modern Vocational Technology College
Local Fractional Improper Imtegral On Fractal Space, Guang-Sheng Chen
Guang-Sheng Chen
–The fractional calculus does with the theory of real (or imaginary) order integral and differential operators and it stands for a natural instrument to model nonlocal phenomena, either in space or time, involving different scales. Local fractional calculus (also called fractal calculus) has played a significant part not only in mathematics but also in physics and engineering. The main purpose of this paper is to establish local fractional improper integrals and an analogue of the classical Dirichlet-Abel test for local fractional improper integrals in fractal space. In the paper, we study local fractional improper integrals on fractal space. By some …
The Zero-Mass Renormalization Group Differential Equations And Limit Cycles In Non-Smooth Initial Value Problems,
2012
China University of Mining & Technology
The Zero-Mass Renormalization Group Differential Equations And Limit Cycles In Non-Smooth Initial Value Problems, Yang Xiaojun
Xiao-Jun Yang
In the present paper, using the equation transform in fractal space, we point out the zero-mass renormalization group equations. Under limit cycles in the non-smooth initial value, we devote to the analytical technique of the local fractional Fourier series for treating zero-mass renormalization group equations, and investigate local fractional Fourier series solutions.
Large Deviations For Random Matrices,
2012
Louisiana State University
Large Deviations For Random Matrices, Sourav Chatterjee, S R S Varadhan
Communications on Stochastic Analysis
No abstract provided.
A Multidimensional Ruin Problem,
2012
Louisiana State University
A Multidimensional Ruin Problem, S Ramasubramanian
Communications on Stochastic Analysis
No abstract provided.
Hilbert Von Neumann Modules,
2012
Louisiana State University
Hilbert Von Neumann Modules, Panchugopal Bikram, Kunal Mukherjee, R. Srinivasan, V S Sunder
Communications on Stochastic Analysis
No abstract provided.
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data,
2012
Louisiana State University
Bell's Inequality Violations: Relation With De Finetti's Coherence Principle And Inferential Analysis Of Experimental Data, Franco Fagnola, Matteo Gregoratti
Communications on Stochastic Analysis
No abstract provided.
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae,
2012
Louisiana State University
A Vacuum-Adapted Approach To Quantum Feynman-Kac Formulae, Alexander C R Belton, J Martin Lindsay, Adam G Skalski
Communications on Stochastic Analysis
No abstract provided.
An Interpolating Family Of Means,
2012
Louisiana State University
An Interpolating Family Of Means, Rajendra Bhatia, Ren-Cang Li
Communications on Stochastic Analysis
No abstract provided.
Some Problems Involving Airy Functions,
2012
Louisiana State University
Some Problems Involving Airy Functions, V S Varadarajan
Communications on Stochastic Analysis
No abstract provided.
Lévy Processes Through Time Shift On Oscillator Weyl Algebra,
2012
Louisiana State University
Lévy Processes Through Time Shift On Oscillator Weyl Algebra, Luigi Accardi, Habib Ouerdiane, Habib Rebei
Communications on Stochastic Analysis
No abstract provided.
Roots Of States,
2012
Louisiana State University
Roots Of States, B V Rajarama Bhat
Communications on Stochastic Analysis
No abstract provided.
The Early Years Of Quantum Stochastic Calculus,
2012
Louisiana State University
The Early Years Of Quantum Stochastic Calculus, R L Hudson
Communications on Stochastic Analysis
No abstract provided.
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space,
2012
Louisiana State University
Multiple Q-Adapted Integrals And Itô Formula Of Noncommutative Stochastic Calculus In Fock Space, V P Belavkin, M F Brown
Communications on Stochastic Analysis
No abstract provided.
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms,
2012
China University of Mining & Technology
A Novel Approach To Processing Fractal Dynamical Systems Using The Yang-Fourier Transforms, Yang Xiaojun
Xiao-Jun Yang
In the present paper, local fractional continuous non-differentiable functions in fractal space are investigated, and the control method for processing dynamic systems in fractal space are proposed using the Yang-Fourier transform based on the local fractional calculus. Two illustrative paradigms for control problems in fractal space are given to elaborate the accuracy and reliable results.
