We present for the first-order theory of atomic Boolean algebras of sets with linear cardinality constraints a quantifier elimination algorithm. In the case of atomic Boolean algebras of sets, this is a new generalization of Boole’s well-known variable elimination method for conjunctions of Boolean equality constraints. We also explain the connection of this new logical result with the evaluati...

Title of dissertation: PRIMAL-DUAL INTERIOR-POINT ALGORITHMS FOR LINEAR PROGRAMS WITH MANY INEQUALITY CONSTRAINTS Luke Michael Blohm Winternitz, 2010 Dissertation directed by: Professor André L. Tits Department of Electrical and Computer Engineering Linear programs (LPs) are one of the most basic and important classes of constrained optimization problems, involving the optimization of linear ob...

Task: A polynomial can be factorized to the product of linear polynomials, but only for orders up to 4. Numerical solution is possible, but it is imprecise and division leaves a remainder. Also this is a subject of numerical anaysis. Task: Linear algebra: “A system of linear equations Ax = b has a unique solution x = A−1b if and only if det A 6= 0.” Programming: “Real numbers cannot be tested f...

The main objective in this work is to compare different convex relaxations for Model Predictive Control (MPC) problems with mixed real valued and binary valued control signals. In the problem description considered, the objective function is quadratic, the dynamics are linear, and the inequality constraints on states and control signals are all linear. The relaxations are related theoretically ...

Using state space technique and GF(2) theory, a simulation model for external exclusive NOR type LFSR structures is developed. Through this tool a systematic procedure is devised for computing pseudo-random binary sequences from such structures. Keywords—LFSR, external exclusive NOR type, recursive binary sequence, initial state next state, state transition matrix.

In this paper, for the purposes of information transmission and network error correction simultaneously, three classes of important linear network codes in network coding, linear multicast/broadcast/dispersion codes are generalized to linear network error correction coding, i.e., linear network error correction multicast/broadcast/dispersion codes. We further propose the (weakly, strongly) exte...

In this series of lectures the basic ideas of the 1=m Q expansion in QCD (m Q is the mass of a heavy quark) are outlined. Applications to exclusive and inclusive decays are given.

I examine how firms use alliances to respond to the alliance networks of their rivals, by either allying with their rivals’ partners or by building countervailing alliances. Evidence from the global airline industry (1994–98) suggests that these strategic responses depend on alliance cospecialization. Cospecialized alliances by rivals may involve exclusivity, precluding alliances with the rival...

We investigated the drawing signs in 200 schizophrenic and 200 normal individuals on Draw A Person test in Pakistan. The sample consisted of men and women between ages of 20 to 50 years in two provinces (Punjab and Khyber Pakhtun-Khwa) of Pakistan. We used Koppitz (1971) method to administer and score the test and selected 40 Emotional Indicators (EIs) from the literature and found 26whichsigni...

Fertility has fallen to extremely low levels in Europe, prompting some to argue that we are on the brink of a ‘demographic crisis’ that will have serious societal consequences. There is also a parallel need to strengthen the labour force and increase productivity, materialized in the Lisbon Strategy to increase women’s employment to 60 percent across Europe by 2010. These dual concerns prompted...