Two-view triangulation is a problem of minimizing a quadratic polynomial under an equality constraint. We derive a polynomial that encodes the local minimizers of this problem using the theory of Lagrange multipliers. This offers a simpler derivation of the critical points that are given in HartleySturm [6].

the isogeometric analysis is increasingly used in various engineering problems. it is based on non-uniform rational b-splines (nurbs) basis function applied for the solution field approximation and the geometry description. one of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. the main contri...

We study a twisted version of Grigorchuk’s first group, and stress its similarities and differences to its model. In particular, we show that it admits a finite endomorphic presentation, has infiniterank multiplier, and does not have the congruence property.

In this paper, we prove some uniform estimates between Lebesgue and Hardy spaces for operators closely related to the multilinear paraproducts on Rd. We are looking for uniformity with respect to parameters, which allow us to disturb the geometry and the metric on Rd.

We prove a version of Lagrange multipliers theorem for nonsmooth functionals defined on normed spaces. Applying these results, we extend some results about saddle point optimality criteria in mathematical programming. © 2005 Elsevier Inc. All rights reserved.

Abstract—In this paper, a novel Chinese abacus multiplier is presented. The architecture of a 4-bit multiplier is demonstrated. The simulation results of our work are compared with the 4-bit Braun array multiplier. The 0.35μm and 0.18μm TSMC CMOS technologies are used in the simulation. The delay time of the abacus multiplier is at least 63% less than that of Braun array multiplier for 0.18μm t...

We find the conditions for optimal collimator location by the method of “Lagrange undetermined multipliers”. We give a ‘global’ explanation for the advantage of tune splitting on betatron collimation in terms of the envelope of all possible optimal collimator positions. We make analytic calculations of the maximum amplitude of surviving particles for elliptic and jaw-type collimators at a varie...

We describe a new first-order formulation of D = 11 supergravity which shows that that theory can be understood to arise from a certain topological field theory by the imposition of a set of local constraints on the fields, plus a lagrange multiplier term. The topological field theory is of interest as the algebra of its constraints realizes the D = 11 supersymmetry algebra with central charges...

Consider the problem stated at the beginning of section 4.5, which involves choosing the distribution of posteriors F that maximizes (1 − α) 1 0 w(π) 1 − π 1 − π0 dF (π) expected surplus claimed by L +α 1 0 w(π) π π0 dF (π) expected surplus claimed by H −c 1 0 w(π) π π0 − 1 − π 1 − π0 dF (π) gap between expected surplus claimed by L and H 1 0 w(π) π π 0 − 1 − π 1 − π 0 dF (π) ≤ C(¯ m|L). To mak...