Geometric constraint solving is constraint satisfaction in a computational geometry setting, which has primary applications in computer aided design. A...

A constraint in computer-aided design (CAD) software is a limitation or restriction imposed by a designer or an engineer upon geometric properties: 203 ...

solving geometric programs (GPs) and generalized geometric programs (GGPs). CVXPY is a Python-embedded modeling language for specifying and solving convex...

problem as a homogeneous collection of finite constraints over variables, which is solved by constraint satisfaction methods. CSPs are the subject of...

Boolean satisfiability problems, including SAT solvers Quantified boolean formula solvers Constraint satisfaction problems Shortest path problems Minimum...

smaller number of variables. With inequality constraints, the problem can be characterized in terms of the geometric optimality conditions, Fritz John conditions...

attempting to solve an ordinary differential equation on a constraint manifold; the constraints are various nonlinear geometric constraints such as "these...

very small number of constraints. There is always at least one constraint, and TOC uses a focusing process to identify the constraint and restructure the...

manner. Virtually all of CAD tools rely on constraint concepts that are used to define geometric or non-geometric elements of a model. There are many producers...

In classical and quantum mechanics, geometric phase is a phase difference acquired over the course of a cycle, when a system is subjected to cyclic adiabatic...

)=0\end{cases}}} which amounts to solving n + M {\displaystyle n+M} equations in   n + M   {\displaystyle \ n+M\ } unknowns. The constraint qualification assumption...

In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative...

The problem of solving a system of linear inequalities dates back at least as far as Fourier, who in 1827 published a method for solving them, and after...

minimization with convex quadratic constraints Geometric programming Entropy maximization with appropriate constraints. The following are useful properties...

profit constraint, we have Q > 0 {\displaystyle Q>0} and hence the third condition implies that the first condition holds with equality. Solving that equality...

defined on the constraint surface that are invariant under the gauge transformations of the theory. Then, solving only the constraint G j = 0 {\displaystyle...

(branch-and-cut); this is the method of choice for solving large instances. This approach holds the current record, solving an instance with 85,900 cities, see Applegate...

(CAE) systems. C3D Toolkit provides routines for 3D modeling, 3D constraint solving, polygonal mesh-to-B-rep conversion, 3D visualization, and 3D file...

can yield information about the constraint forces. The coordinates do not need to be eliminated by solving the constraint equations. In the Lagrangian,...

In condensed matter physics, geometrical frustration (or in short, frustration) is a phenomenon where the combination of conflicting inter-atomic forces...

given a matrix AND the dimension, d {\displaystyle d} , via a geometric constraint solving algorithm. The second algorithm does so when the dimension, d...

constraints. The basic objectives in geometric design are to optimize efficiency and safety while minimizing cost and environmental damage. Geometric...

Without the constraint of requiring solution by ruler and compass alone, the problem is easily solvable by a wide variety of geometric and algebraic...

first-class constraint is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes on the...

independently. The creative problem-solving process was originally developed by Alex Osborn and Sid Parnes. Creative problem solving (CPS) is a way of using creativity...

AC-3 algorithm general algorithms for the constraint satisfaction Chaff algorithm: an algorithm for solving instances of the Boolean satisfiability problem...

involving limited backtracking for solving constraint satisfaction problems with binary variables and pairwise constraints. They apply this technique to a...

with an additional constraint. The simplicial cones in question are the corners (i.e., the neighborhoods of the vertices) of a geometric object called a...

In discrete geometry, geometric rigidity is a theory for determining if a geometric constraint system (GCS) has finitely many d {\displaystyle d} -dimensional...

develop efficient algorithms and data structures for solving problems stated in terms of basic geometrical objects: points, line segments, polygons, polyhedra...