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Bidirectional branch and bound for controlled variable selection Part I : principles and minimum singular value criterion
The minimum singular value (MSV) rule is a useful tool for selecting controlled variables (CVs) from the available measurements. However, the application of the MSV rule to large-scale problems is difficult, as all feasible ...
Achievable PID performance using sums of squares programming
In addition to process elements like time delay, the PID structure of the controller can pose fundamental limitations on the achievable control performance. A key difficulty in characterizing the limitations due to controller ...
The sizes of optimal q-ary codes of weight three and distance four : a complete solution
This correspondence introduces two new constructive techniques to complete the determination of the sizes of optimal q-ary codes of constant weight three and distance four.
Improved lower bounds for constant GC-content DNA codes
The design of large libraries of oligonucleotides having constant GC-content and satisfying Hamming distance constraints between oligonucleotides and their Watson-Crick complements is important in reducing hybridization ...
An improvement for the large sieve for square moduli
We establish a result on the large sieve with square moduli. These bounds improve recent results by S. Baier [S. Baier, On the large sieve with sparse sets of moduli, J. Ramanujan Math. Soc. 21 (2006) 279–295] and L. Zhao ...
On primes in quadratic progressions
We verify the Hardy-Littlewood conjecture on primes in quadratic progressions on average. The results in the present paper significantly improve those of a previous paper of the authors.
Organogel formation by a cholesterol-stoppered bistable rotaxane and its dumbbell precursor
The switching properties, gelation behavior, and self-organization of a cholesterol-stoppered bistable rotaxane containing a cyclobis(paraquat-p-phenylene) ring and tetrathiafulvalene/1,5-dioxynaphthalene recognition ...
An improved variational approach to off-diagonal exciton-phonon coupling
A state-of-the-art variational wave function incorporating Jastrow-type exciton-phonon correlations, the global-local Ansatz, is utilized to elucidate exciton-phonon correlations in a generalized form of the Holstein ...
A redox-switchable α-cyclodextrin-based rotaxane
A bistable rotaxane comprising an alpha-cyclodextrin (alpha-CD) ring and a dumbbell component containing a redox-active tetrathiafulvalene (TTF) ring system within its rod section has been synthesized using the ...
Group divisible codes and their application in the construction of optimal constant-composition codes of weight three
The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for ...