A Gödel-type solution of the Einstein–Maxwell equation

1968 ◽  
Vol 46 (21) ◽  
pp. 2361-2362 ◽  
Author(s):  
S. J. Wilson
Keyword(s):  
Maxwell Equation ◽  
Type Solution

A Gödel-type solution of the Einstein–Maxwell equation is presented, using the equivalent Rainich equations.

scholarly journals On periodic-type solutions of systems of linear ordinary differential equations

2004 ◽  
Vol 2004 (5) ◽  
pp. 395-406 ◽  
Author(s):  
I. Kiguradze
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Sufficient Conditions ◽  
Type Solution ◽  
Linear Ordinary Differential Equations

We establish nonimprovable, in a certain sense, sufficient conditions for the existence of a unique periodic-type solution for systems of linear ordinary differential equations.

Pseudoinverse-type bi-criteria minimization scheme for redundancy resolution of robot manipulators

Robotica ◽  
2014 ◽  
Vol 33 (10) ◽  
pp. 2100-2113 ◽  
Author(s):  
Bolin Liao ◽  
Weijun Liu
Keyword(s):  
Robot Manipulator ◽  
Robot Manipulators ◽  
Weighting Factor ◽  
Redundancy Resolution ◽  
Type Solution ◽  
Revolute Joints ◽  
Joint Velocity ◽  
Joint Acceleration ◽  
Minimum Velocity ◽  
Minimization Scheme

SUMMARYIn this paper, a pseudoinverse-type bi-criteria minimization scheme is proposed and investigated for the redundancy resolution of robot manipulators at the joint-acceleration level. Such a bi-criteria minimization scheme combines the weighted minimum acceleration norm solution and the minimum velocity norm solution via a weighting factor. The resultant bi-criteria minimization scheme, formulated as the pseudoinverse-type solution, not only avoids the high joint-velocity and joint-acceleration phenomena but also causes the joint velocity to be near zero at the end of motion. Computer simulation results based on a 4-Degree-of-Freedom planar robot manipulator comprising revolute joints further verify the efficacy and flexibility of the proposed bi-criteria minimization scheme on robotic redundancy resolution.

scholarly journals COMPUTATIONAL PERFORMANCE OF A WEIGHTED REGULARIZED MAXWELL EQUATION FINITE ELEMENT FORMULATION

2013 ◽  
Vol 136 ◽  
pp. 61-77 ◽  
Author(s):  
Ruben Otin ◽  
Luis E. Garcia-Castillo ◽  
Ignacio Martinez-Fernandez ◽  
Daniel Garcia-Donoro
Keyword(s):  
Finite Element ◽  
Maxwell Equation ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Computational Performance

scholarly journals Dopping Effect on Optical Constant of Poly (Vinyl Chloride)

2011 ◽  
Vol 8 (4) ◽  
pp. 976-981
Author(s):  
Baghdad Science Journal
Keyword(s):  
Dielectric Constant ◽  
Absorption Coefficient ◽  
Vinyl Chloride ◽  
Maxwell Equation ◽  
Extinction Coefficient ◽  
Refraction Index ◽  
Optical Parameters ◽  
Optical Studies ◽  
Poly Vinyl Chloride ◽  
Salt Complex

Thick films of poly(vinyl chloride)(PVC)& PVC doped with Zn(etx)2 salt complex have been prepared by cast method with fixed thickness almost (120±5) Microns. Optical studies were carried out in the wavelengths region(200-900)nm based on absorption & transmition measurement. Optical parameters such as absorption coefficient(?) ,refraction index(n) and extinction coefficient(K) were observed to be effected by adding the dopant.Electrical parameters such as real(?)& imaginary(?) part of dielectric constant were also calculated part of dielectric constant were also calculated from the optical parameters using Maxwell equation.

scholarly journals A saddle point type solution for a system of operator equations

2021 ◽  
pp. 1-12
Author(s):  
Piotr Kowalski
Keyword(s):  
Saddle Point ◽  
Minimax Theorem ◽  
Dirichlet Problems ◽  
Type Solution ◽  
Operator Equations ◽  
Potential Operators ◽  
System Of Operator Equations ◽  
Ky Fan ◽  
Point Type

Let Ω⊂Rn n>1 and let p,q≥2. We consider the system of nonlinear Dirichlet problems equation* brace(Au)(x)=Nu′(x,u(x),v(x)),x∈Ω,r-(Bv)(x)=Nv′(x,u(x),v(x)),x∈Ω,ru(x)=0,x∈∂Ω,rv(x)=0,x∈∂Ω,endequation* where N:R×R→R is C1 and is partially convex-concave and A:W01,p(Ω)→(W01,p(Ω))* B:W01,p(Ω)→(W01,p(Ω))* are monotone and potential operators. The solvability of this system is reached via the Ky–Fan minimax theorem.

scholarly journals Symmetry analysis of rotating fluid

2005 ◽  
Vol 47 (1) ◽  
pp. 65-74 ◽  
Author(s):  
K. Fakhar ◽  
Zu-Chi Chen ◽  
Xiaoda Ji
Keyword(s):  
Steady State ◽  
Infinite Number ◽  
Special Function ◽  
Equations Of Motion ◽  
Time Dependent ◽  
Lie Theory ◽  
Rotating Fluid ◽  
Type Solution ◽  
Function Type ◽  
Basic Equations

AbstractThe machinery of Lie theory (groups and algebras) is applied to the unsteady equations of motion of rotating fluid. A special-function type solution for the steady state is derived. It is then shown how the solution generates an infinite number of time-dependent solutions via three arbitrary functions of time. This algebraic structure also provides the mechanism to search for other solutions since its character is inferred from the basic equations.

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