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Articles 1 - 11 of 11
Full-Text Articles in Physical Sciences and Mathematics
Quasilinearization For Some Nonlocal Problems, Yunfeng Yin
Quasilinearization For Some Nonlocal Problems, Yunfeng Yin
Mathematics and System Engineering Faculty Publications
The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation ut – Lu = f{t,x,u) with nonlocal boundary conditions u(t,x)=∫Ωϕ(x,y)u(t,y)dy in this paper. The convexity of f in u is relaxed by requiring f(t,x,u) Muz to be convex for some M > 0. The quadratic convergence of monotone sequence is obtained.
Optimal Controllability Of Impulsive Control Systems, Farzana A. Mcrae
Optimal Controllability Of Impulsive Control Systems, Farzana A. Mcrae
Mathematics and System Engineering Faculty Publications
The problem of optimal controllability of a nonlinear impulsive control system is studied using the method of vector Lyapunov functions and the generalized comparison principle.
Mathtype Version 3.0 A Software Review, David W. Clay
Mathtype Version 3.0 A Software Review, David W. Clay
Mathematics and System Engineering Faculty Publications
Math Type is a mathematical equation editor in the Windows 3.1 environment. It lets you build up any kind of mathematical expression by using simple point-and-click techniques and then insert them into any Windows 3.1 compatible word processor; for instance, Word Perfect 5.1/5.2 for Windows, Word 2.0 for Windows, and AMI Pro 3.0 for Windows. An expression designed by Math Type can be transferred into a word processor by using standard Cut and Paste commands or by using Object Linking and Embedding techniques.
A Bulk Queueing System Under N-Policy With Bilevel Service Delay Discipline And Start-Up Time, David C.R. Muh
A Bulk Queueing System Under N-Policy With Bilevel Service Delay Discipline And Start-Up Time, David C.R. Muh
Mathematics and System Engineering Faculty Publications
The author studies the queueing process in a single-server, bulk arrival and batch service queueing system with a compound Poisson input, bilevel service delay discipline, start-up time, and a fixed accumulation level with control operating policy. It is assumed that when the queue length falls below a predefined level r (≥ 1), the system, with server capacity Λ, immediately stops service until the queue length reaches or exceeds the second predefined accumulation level N(≥ r). Two cases, with N ≦ R and N ≥ R, are studied. The author finds explicitly the probability generating function of the stationary distribution of …
A Bulk Queueing System Under N-Policy With Bilevel Service Delay Discipline And Start-Up Time, David C.R. Muh
A Bulk Queueing System Under N-Policy With Bilevel Service Delay Discipline And Start-Up Time, David C.R. Muh
Mathematics and System Engineering Faculty Publications
The author studies the queueing process in a single-server, bulk arrival and batch service queueing system with a compound Poisson input, bilevel service delay discipline, start-up time, and a fixed accumulation level with control operating policy. It is assumed that when the queue length falls below a predefined level r (≥ 1), the system, with server capacity Λ, immediately stops service until the queue length reaches or exceeds the second predefined accumulation level N(≥ r). Two cases, with N ≦ R and N ≥ R, are studied. The author finds explicitly the probability generating function of the stationary distribution of …
On Applications Of Little's Formula, Jewgeni H. Dshalalow
On Applications Of Little's Formula, Jewgeni H. Dshalalow
Mathematics and System Engineering Faculty Publications
In classical Little's formula L=λW used in queueing, the parameter λ serves as the intensity of the input process. In various applications this parameter may not be known. The author discusses important classes of modulated input processes, where this parameter can be found.
Uniqueness Criterion For Solution Of Abstract Nonlocal Cauchy Problem, Ludwik Byszewski
Uniqueness Criterion For Solution Of Abstract Nonlocal Cauchy Problem, Ludwik Byszewski
Mathematics and System Engineering Faculty Publications
The aim of the paper is to prove an uniqueness criterion for a solution of an abstract nonlocal Cauchy problem. A dissipative operator in the nonlocal problem and an arbitrary functional in the nonlocal condition are considered. The paper is a continuation of papers [l]-[3] and generalizes some results from [4].
Converge, Version 3.0 Software For Algebra Through Calculus A Software Review, Lotfi Tadj
Converge, Version 3.0 Software For Algebra Through Calculus A Software Review, Lotfi Tadj
Mathematics and System Engineering Faculty Publications
Although intended for college teachers/students, Converge presents a feature that may interest all scientists: it allows an easy export of graphic files to most known word processors, specifically to the EXP, Version 2.1, a powerful WYSIWYG mathematical word processor.
Generation Of Surface Shape From Variable-Resolution Video Moire Contours, Joel H. Blatt, Scott C. Cahall, Bernard Gilbert, Jeffrey A. Hooker, Gary L. Wallace
Generation Of Surface Shape From Variable-Resolution Video Moire Contours, Joel H. Blatt, Scott C. Cahall, Bernard Gilbert, Jeffrey A. Hooker, Gary L. Wallace
Aerospace, Physics, and Space Science Faculty Publications
Several methods for generation of three dimensional surface shapes from variable resolution video moire contours are described. In a classical moire system, a physical grating is projected on a target and also used to view the target. The moire contours are generated in the plane of the viewing grating. An unambiguous surface shape can then be computed by processing a set of moire images where the grating, target, or both are moved. By using an interferometer to generate and project variable pitch gratings and video technology to generate the moire contours, a 3-D surface can be scanned at different resolutions …
Variable-Resolution Video Moire Error Map System For Inspection Of Continuously Manufactured Objects, Joel H. Blatt, Scott C. Cahall, Jeffery A. Hooker
Variable-Resolution Video Moire Error Map System For Inspection Of Continuously Manufactured Objects, Joel H. Blatt, Scott C. Cahall, Jeffery A. Hooker
Aerospace, Physics, and Space Science Faculty Publications
Moire techniques can be a powerful tool to determine deviation of a manufactured shape from a desired shape. In a traditional moire system, distorted gratings on an object are viewed through an undistorted grating. The moire contours that result represent equal depth contours over the entire viewed surface. By generating the moire patterns in video, it is possible to view the distorted gratings on a test object through a set of gratings that has been distorted by a similar but perfect object. The output is then a set of moire contours that corresponds to the differences between the two surfaces. …
Real-Time Generation Of Intersection Of Surfaces For Welding By Video Moire, Scott Christian Cahall, Jeffery A. Hooker, Joel H. Blatt
Real-Time Generation Of Intersection Of Surfaces For Welding By Video Moire, Scott Christian Cahall, Jeffery A. Hooker, Joel H. Blatt
Aerospace, Physics, and Space Science Faculty Publications
A common problem in fabrication and welding of complex structures is that there is no simple way to determine where to cut one part so that it will fit another part unless both parts designed and built on a CAD/CAM system. Particularly in prototype or retrofit work, cutting and fitting parts for welding is more of an art than a science. We have developed a unique video moire system that generates the intersection contour in near real time with the contour superimposed on a video image of the part, allowing the cut line to be marked while following the contour …