Special Functions for Optical Science and Engineering

2015 ◽  
Author(s):  
Vasudevan Lakshminarayanan ◽  
L. S. Varadharajan
Keyword(s):  
Special Functions ◽  
Science And Engineering ◽  
Optical Science

Feasibility studies of kinematics problems in the case of a class of redundant manipulators

Robotica ◽  
1995 ◽  
Vol 13 (3) ◽  
pp. 233-241 ◽  
Author(s):  
Shinobu Sasaki
Keyword(s):  
Computer Algebra ◽  
Marked Improvement ◽  
Special Functions ◽  
Feasibility Studies ◽  
Explicit Solutions ◽  
Redundant Manipulators ◽  
Science And Engineering ◽  
Serial Link ◽  
Geometry Problem ◽  
Effective Use

SummaryLately, there have been numerous applications of computer algebra to special functions used in the various field of science and engineering. In this paper, we consider an efficient algorithm which generates velocity Jacobians for any class of general serial link manipulators in a compact form throughout the effective use of frame transformations. Compared with conventional techniques, a marked improvement of that capability is found in computer algebra applications to one class of a seven-joint manipulator. Together with finding of explicit solutions for joint rates, closed form arm solutions for the desired position of the hand are presented by relating the rotational motion of the elbow to a geometry problem.

scholarly journals AN ELEMENTARY AND INTRODUCTORY APPROACH TO FRACTIONAL CALCULUS AND ITS APPLICATIONS

2017 ◽  
Vol 29 (1-2) ◽  
Author(s):  
Hari M. Srivastava
Keyword(s):  
Fractional Calculus ◽  
Integral Equations ◽  
Special Functions ◽  
Mathematical Physics ◽  
Science And Engineering ◽  
The Past ◽  
Fractional Differintegral ◽  
The Subject ◽  
Derivatives Of ◽  
Differential And Integral Equations

A b s t r a c t: The subject of fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. It does indeed provide several potentially useful tools for solving differential and integral equations, and various other problems involving special functions of mathematical physics as well as their extensions and generalizations in one and more variables. The main object of this paper* is to present a brief elementary and introductory approach to the theory of fractional calculus and its applications especially in developing solutions of certain interesting families of ordinary and partial fractional differintegral equations. Relevant connections of some of the results presented in this lecture with those obtained in many other earlier works on this subject will also be indicated.

scholarly journals Curriculum, program, and infrastructure development for Bachelor of Science in Optical Science and Engineering

2003 ◽  
Author(s):  
Marek Osiński ◽  
Sudhakar Prasad ◽  
Arthur H. Guenther ◽  
Anne L. Madsen ◽  
Christine B. McCormick
Keyword(s):  
Infrastructure Development ◽  
Science And Engineering ◽  
Bachelor Of Science ◽  
Optical Science

Optical Science and Engineering Curriculum at NJIT

1998 ◽  
Vol 87 (S5) ◽  
pp. 575-582 ◽  
Author(s):  
Robert Barat ◽  
John Federici ◽  
Anthony Johnson ◽  
Haim Grebel ◽  
Timothy Chang
Keyword(s):  
Engineering Curriculum ◽  
Science And Engineering ◽  
Optical Science
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