This article discusses the significance of knowing exact constraint in successful design.
Although not traditionally taught in mechanical engineering curricula, and not universally known …

… Exact solvers are designed to give repeatable and guaranteed … an exact solver that supports
non-linear geometric constraints … (d) The Plane-Line distance constraint (red) defines the …

… constrained optimization. We discuss calmness, regularity, constraint qualifications, andtheir
relationships vis--vis exact … exists at x for every d X. The norm on X is denoted I1" and its unit …

We introduce the semiclassical limit to electronic systems by taking the limit $\hbar\rightarrow
0$ in the solution of Schr\"odinger equations. We show that this limit is closely related to …

… note here some shortcomings of the technique of Lemma 1 in the context of constraint
databases. In the technique, one has to put the definition of a constraint database D into a query cp…

… the original constrained problem, whereas the term exact augmented … ,d) the directional
derivative of F at x along the direction d. We say that x is a critical point of F if DF(x, d) 2: 0 for all d …

… As long as d ij + d ji are unchanged, we may divide the “distances” between d ij and d ji as
we will. … By dropping the rank ( X ) = 1 constraint, and relaxing the last constraint we get a …

… For each constraint we uniformly select without repetition q = p •d incompatible tuples of
values, ie, each constraint relation contains exactly (1 -p) •d compatible tuples of values. …

… We report in this paper that such constraints can in fact be determined exactly in all
dimensions less than or equal to ten without having to solve this equation. … As an …

… exact xc functional are known. In this work, we review and discuss these known constraints
… (a) the satisfaction of more exact constraints and appropriate norms makes a functional more …