A New Closed-Form Approach (Equation) for Accurately Predicting the Efficiency of Square Patch Planar Antennas

2021 ◽  
Author(s):  
Shakeeb Abdullah ◽  
Joseph Hyland ◽  
Wenyu Zhou ◽  
Gaozhi George Xiao ◽  
Rony E. Amaya
Keyword(s):  
Closed Form ◽  
Planar Antennas ◽  
Form Approach

A Computer Implementation of the Position Solution of Planar Linkages Using Vector Loop Decomposition

1998 ◽  
Author(s):  
Clint A. Kahler ◽  
J. Keith Nisbett ◽  
Clement R. Goodin
Keyword(s):  
Closed Form ◽  
Computer Software ◽  
Computer Implementation ◽  
Software Application ◽  
Prismatic Joints ◽  
Position Solution ◽  
Planar Linkages ◽  
Form Approach ◽  
Independent Loops

Abstract A general closed-form approach to the solution of loop equations of planar n-bar linkages is presented. Each loop of a set of canonical independent loops is decomposed to a set of vectors. Several common combinations of revolute and prismatic joints are defined. By evaluating the types of joints at each end of a vector, the magnitude and direction of the vector are determined to be known constants or unknown variables. This leads to an identification of the number of unknowns and the distribution of unknowns in the loop. This identification allows the unknowns to be found by matching the situation to one of the unique, closed-form cases for a solvable loop. A computer software application has been developed and is analyzed for efficiency.

scholarly journals A Closed-Form Approach to Determine the Base Inertial Parameters of Complex Structured Robotic Systems

2015 ◽  
Vol 48 (1) ◽  
pp. 316-321 ◽  
Author(s):  
J. Klodmann ◽  
D. Lakatos ◽  
C. Ott ◽  
A. Albu-Schäffer
Keyword(s):  
Closed Form ◽  
Robotic Systems ◽  
Inertial Parameters ◽  
Base Inertial Parameters ◽  
Form Approach

Adiabatic, closed-form approach to the highly efficient analysis of a fiber Raman amplifier problem

2005 ◽  
Vol 30 (2) ◽  
pp. 126 ◽  
Author(s):  
Lark Kwon Choi ◽  
Pilhan Kim ◽  
Jaehyoung Park ◽  
Jonghan Park ◽  
Namkyoo Park
Keyword(s):  
Closed Form ◽  
Raman Amplifier ◽  
Fiber Raman Amplifier ◽  
Highly Efficient ◽  
Form Approach
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