Passage to lagrange multipliers for determination of the high-order constant for Pontryagin minimum

1993 ◽  
Vol 4 (4) ◽  
pp. 378-386
Author(s):  
A. V. Dmitruk
Keyword(s):  
Lagrange Multipliers ◽  
High Order

Determination of the Burgers vector of a dislocation in a Fe-Mn alloy by weak-beam image in HVEM

1978 ◽  
Vol 36 (1) ◽  
pp. 330-331
Author(s):  
Y. Ishida ◽  
H. Ishida ◽  
K. Kohra ◽  
H. Ichinose
Keyword(s):  
High Order ◽  
Simulation Technique ◽  
The Other ◽  
Image Simulation ◽  
Diffraction Vector ◽  
Burgers Vector ◽  
Weak Beam ◽  
Beam Image ◽  
Edge Component

IntroductionA simple and accurate technique to determine the Burgers vector of a dislocation has become feasible with the advent of HVEM. The conventional image vanishing technique(1) using Bragg conditions with the diffraction vector perpendicular to the Burgers vector suffers from various drawbacks; The dislocation image appears even when the g.b = 0 criterion is satisfied, if the edge component of the dislocation is large. On the other hand, the image disappears for certain high order diffractions even when g.b ≠ 0. Furthermore, the determination of the magnitude of the Burgers vector is not easy with the criterion. Recent image simulation technique is free from the ambiguities but require too many parameters for the computation. The weak-beam “fringe counting” technique investigated in the present study is immune from the problems. Even the magnitude of the Burgers vector is determined from the number of the terminating thickness fringes at the exit of the dislocation in wedge shaped foil surfaces.

Determination of eigenvectors with Lagrange multipliers

2021 ◽  
Author(s):  
Wooyong Han ◽  
Dong-Won Jung ◽  
Jungil Lee ◽  
Chaehyun Yu
Keyword(s):  
Lagrange Multipliers

The Determination of Maximum Range for an Unpowered Atmospheric Vehicle

1964 ◽  
Vol 68 (638) ◽  
pp. 111-116 ◽  
Author(s):  
D. J. Bell
Keyword(s):  
Calculus Of Variations ◽  
Lagrange Multipliers ◽  
Digital Computer ◽  
Necessary Conditions ◽  
Lagrange Equations ◽  
Initial Portion ◽  
End Conditions ◽  
Maximum Range ◽  
Isothermal Atmosphere

SummaryThe problem of maximising the range of a given unpowered, air-launched vehicle is formed as one of Mayer type in the calculus of variations. Eulers’ necessary conditions for the existence of an extremal are stated together with the natural end conditions. The problem reduces to finding the incidence programme which will give the greatest range.The vehicle is assumed to be an air-to-ground, winged unpowered vehicle flying in an isothermal atmosphere above a flat earth. It is also assumed to be a point mass acted upon by the forces of lift, drag and weight. The acceleration due to gravity is assumed constant.The fundamental constraints of the problem and the Euler-Lagrange equations are programmed for an automatic digital computer. By considering the Lagrange multipliers involved in the problem a method of search is devised based on finding flight paths with maximum range for specified final velocities. It is shown that this method leads to trajectories which are sufficiently close to the “best” trajectory for most practical purposes.It is concluded that such a method is practical and is particularly useful in obtaining the optimum incidence programme during the initial portion of the flight path.

Photoelectron spectroscopic determination of the energy bandwidths of high-order harmonics (7th–55th) produced by an ultrafast laser in neon

2000 ◽  
Vol 62 (2) ◽  
Author(s):  
Lora Nugent-Glandorf ◽  
Michael Scheer ◽  
M. Krishnamurthy ◽  
Jennifer W. Odom ◽  
Stephen R. Leone
Keyword(s):  
Ultrafast Laser ◽  
High Order ◽  
Spectroscopic Determination

Determination of the Whiteside line on femur surface models by fitting high-order polynomial functions to cross-section profiles of the intercondylar fossa

2011 ◽  
Vol 16 (2) ◽  
pp. 71-85 ◽  
Author(s):  
Pietro Cerveri ◽  
Mario Marchente ◽  
Alfonso Manzotti ◽  
Norberto Confalonieri
Keyword(s):  
Cross Section ◽  
High Order ◽  
Polynomial Functions ◽  
Surface Models ◽  
Order Polynomial

Statistical determination of the length dependence of high-order polarization mode dispersion

2000 ◽  
Vol 25 (12) ◽  
pp. 875 ◽  
Author(s):  
A. Eyal ◽  
Y. Li ◽  
W. K. Marshall ◽  
A. Yariv ◽  
M. Tur
Keyword(s):  
Polarization Mode Dispersion ◽  
High Order ◽  
Polarization Mode ◽  
Length Dependence ◽  
Mode Dispersion ◽  
Statistical Determination
Sign in / Sign up

Export Citation Format

Share Document