In this paper, nonlinear receding horizon control (NMPC) is implemented on a laboratory quadruple-tank system, which is a nonlinear multi-variable process with state constraints as well as input constraints. A fast numerical algorithm called C/GMRES is employed to implement nonlinear receding horizon control of quadruple-tank system, in which the continuation method is combined with a fast algo...

By using a model of gene conversion for treating concerted evolution of multigene families, a theory for calculating the variances and covariances of identity coefficients has been developed. Six coefficients on triple identity and 15 coefficients on quadruple identity are needed. The variances and covariances are obtained from the quadruple identity coefficients and divided into within-populat...

Recurrent hyperparathyroidism can occur following quadruple parathyroidectomy and during radical parathyroidectomy and so that future hypoparathyroidism is avoided autotransplantation of parathyroid tissue is often preformed. Herein, I describe a patient who was thought to have recurrent hyperparathyroidism following a quadruple parathyroidectomy based solely on a high intact parathyroid hormon...

Let F be a closed orientable surface. We give an explicit formula for the number mod 2 of quadruple points occurring in any generic regular homotopy between any two regularly homotopic embeddings e, e : F → R. The formula is in terms of homological data extracted from the two embeddings.

This erratum relates to our work “Fundamental groups of some special quadric arrangements”. The original Theorems 2.2, 2.5, 2.8 and Propositions 2.3(ii)(iii), 2.6(ii)(iii), 2.9(ii)(iii) have wrong results. They need to be rephrased. Corollaries 2.4 and 2.7 are incomplete, and they are extended. We add a new Corollary 2.10, which does not appear in the original paper. Proposition 3.1 has a wrong...

Addition of an excess of t-butyl isocyanide to solid Mo2 (0, CCF3 )4 or MO?_ (0, CMe)4 gives (t-BuNC), Mo(Oz CCF3 )* or (t-BuNC), Mo(Oz CMe), , respectively. The quadruple bond in K4 MO* Cl8 or Cl4 MO, (n-Bus P)4 also can be cleaved by an excess of t-butyl isocyanide to yield (t-BuNC), MoCl, _ The anionic ligands can be exchanged with ammonium hexafluorophosphate in presence of excess t-BuNC to...

In this research, we propose a new evidence-oriented framework to expert search. Here, the evidence is defined as a quadruple, . Each quadruple denotes that a "Query" and an "Expert", with a certain "Relation" between them, are found in a specific "Document". In the proposed framework, the task of Expert Search can be accomplished in three steps, namely, 1) ev...

A set of Gaussian integers is said to have the property D(z) if the product of its any two distinct elements increased by z is a square of a Gaussian integer. In this paper it is proved that if a Gaussian integer z is not representable as a difference of the squares of two Gaussian integers, then there does not exist a quadruple with the property D(z), but if z is representable as a difference ...

Most modern processors have hardware support for single precision and double precision floating point multiplication. For many scientific computations like climate modeling, computational physics and computational geometry this support is inadequate. They impose the use of quadruple precision arithmetic because it provides twice the precision of double precision format. The proposed design perf...

Recently Deineko, Klinz, and Woeginger have shown that a transportation problem is immune against the ”more for less”-paradox if and only if the cost matrix C = (ci,j) (of dimension m×n) does not contain a bad quadruple. In this note a counter-example with infinite-dimensional supply and demand vectors is given. In the second part we show that the quadruple-characterization of paradox-immune co...