Amulet's Dynamic and Flexible Prototype-Instance Object and Constraint System in C++,

1995 ◽  
Author(s):  
Rich McDaniel ◽  
Brad A. Myers
Keyword(s):  
Constraint System

scholarly journals Synchronous linear constraint system games

2021 ◽  
Vol 62 (3) ◽  
pp. 032201
Author(s):  
Adina Goldberg
Keyword(s):  
Linear Constraint ◽  
Constraint System

scholarly journals BRST Quantization of the Proca Model Based on the BFT and the BFV Formalism

1997 ◽  
Vol 12 (23) ◽  
pp. 4217-4239 ◽  
Author(s):  
Yong-Wan Kim ◽  
Mu-In Park ◽  
Young-Jai Park ◽  
Sean J. Yoon
Keyword(s):  
Phase Space ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Mass Term ◽  
Class Constraint ◽  
Extended Phase ◽  
Breaking Effect ◽  
Linear Character ◽  
Constraint System ◽  
Gauge Fixing

The BRST quantization of the Abelian Proca model is performed using the Batalin–Fradkin–Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class constraint system of the model into an effectively first class one by introducing new fields. In finding the involutive Hamiltonian we adopt a new approach which is simpler than the usual one. We also show that in our model the Dirac brackets of the phase space variables in the original second class constraint system are exactly the same as the Poisson brackets of the corresponding modified fields in the extended phase space due to the linear character of the constraints comparing the Dirac or Faddeev–Jackiw formalisms. Then, according to the BFV formalism we obtain that the desired resulting Lagrangian preserving BRST symmetry in the standard local gauge fixing procedure naturally includes the Stückelberg scalar related to the explicit gauge symmetry breaking effect due to the presence of the mass term. We also analyze the nonstandard nonlocal gauge fixing procedure.

First- and Second-Order Kinematics-Based Constraint System Analysis and Reconfiguration Identification for the Queer-Square Mechanism

2018 ◽  
Vol 11 (1) ◽  
Author(s):  
Xi Kang ◽  
Xinsheng Zhang ◽  
Jian S. Dai
Keyword(s):  
Configuration Space ◽  
Bilinear Form ◽  
System Analysis ◽  
Kinematic Model ◽  
Second Order ◽  
Constraint System ◽  
Lie Bracket ◽  
Geometric Conditions ◽  
Reconfigurable Mechanisms ◽  
Order Constraints

Reconfiguration identification of a mechanism is essential in design and analysis of reconfigurable mechanisms. However, reconfiguration identification of a multiloop reconfigurable mechanism is still a challenge. This paper establishes the first- and second-order kinematic model in the queer-square mechanism to obtain the constraint system by using the sequential operation of the Lie bracket in a bilinear form. Introducing a bilinear form to reduce the complexity of first- and second-order constraints, the constraint system with first- and second-order kinematics of the queer-square mechanism is attained in a simplified form. By obtaining the solutions of the constraint system, six motion branches of the queer-square mechanism are identified and their corresponding geometric conditions are presented. Moreover, the initial configuration space of the mechanism is obtained.

A Constraint Based Fuzzy Object Oriented Database Model

2011 ◽  
pp. 1-45 ◽  
Author(s):  
Guy de Tre ◽  
Rita de Caluwe
Keyword(s):  
Type System ◽  
Object Oriented ◽  
Building Blocks ◽  
Constraint System ◽  
Database Model ◽  
Database Models ◽  
Data Definition ◽  
Definition Of ◽  
Object Oriented Database ◽  
Adequate Data

The objective of this chapter is to define a fuzzy object-oriented formal database model that allows us to model and manipulate information in a (true to nature) natural way. Not all the elements (data) that occur in the real world are fully known or defined in a perfect way. Classical database models only allow the manipulation of accurately defined data in an adequate way. The presented model was built upon an object-oriented type system and an elaborated constraint system, which, respectively, support the definitions of types and constraints. Types and constraints are the basic building blocks of object schemes, which, in turn, are used for defining database schemes. Finally, the definition of the database model was obtained by providing adequate data definition operators and data manipulation operators. Novelties in the approach are the incorporation of generalized constraints and of extended possibilistic truth values, which allow for a better representation of data(base) semantics.

Conditions for Symmetry of Multiply Separated Positions in Coplanar Motion

1968 ◽  
Vol 35 (4) ◽  
pp. 706-712
Author(s):  
D. Tesar ◽  
J. W. Sparks
Keyword(s):  
Reference Plane ◽  
Plane Symmetry ◽  
Constraint System

A generalized treatment for combinations of infinitesimally and finitely separated coplanar positions is presented for four, five, and six positions lying symmetrically about an axis in the reference plane. Symmetry of the first and second kind are shown to be distinct because of the constraint system and not due to the form of the motion specification. The solution for the Burmester points is represented by the intersection of the Bottema conics. This development is supported by an algorithm for synthesizing five multiply separated positions in coplanar motion.

GPDOF — A FAST ALGORITHM TO DECOMPOSE UNDER-CONSTRAINED GEOMETRIC CONSTRAINT SYSTEMS: APPLICATION TO 3D MODELING

2006 ◽  
Vol 16 (05n06) ◽  
pp. 479-511 ◽  
Author(s):  
GILLES TROMBETTONI ◽  
MARTA WILCZKOWIAK
Keyword(s):  
Equation System ◽  
3D Models ◽  
General Purpose ◽  
Constrained Systems ◽  
Geometric Constraints ◽  
Geometric Constraint ◽  
Maximum Matching ◽  
Constraint System ◽  
Constraint Systems ◽  
Geometrical Constraints

Our approach exploits a general-purpose decomposition algorithm, called GPDOF, and a dictionary of very efficient solving procedures, called r-methods, based on theorems of geometry. GPDOF decomposes an equation system into a sequence of small subsystems solved by r-methods, and produces a set of input parameters.1. Recursive assembly methods (decomposition-recombination), maximum matching based algorithms, and other famous propagation schema are not well-suited or cannot be easily extended to tackle geometric constraint systems that are under-constrained. In this paper, we show experimentally that, provided that redundant constraints have been removed from the system, GPDOF can quickly decompose large under-constrained systems of geometrical constraints. We have validated our approach by reconstructing, from images, 3D models of buildings using interactively introduced geometrical constraints. Models satisfying the set of linear, bilinear and quadratic geometric constraints are optimized to fit the image information. Our models contain several hundreds of equations. The constraint system is decomposed in a few seconds, and can then be solved in hundredths of seconds.

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