This paper presents results of an exhaustive computer search for the maximum spectral value in full period two-term kth-order multiple recursive generators (MRGs) with efficient multipliers. For orders k = 2, 3, . . . , 7, we provide a table of kth-order MRGs with largest spectral values. These MRGs not only have the best spectral values found so far but also can be implemented efficiently by a...

-It is demonstrated that for finite-alphabet, Kth order ergodic Markov Sources (i.e., memory of K letters), a variable-to-fixed code is better than the best fixed-to-variable code (Huffman code). It is shown how to construct a variable-to-fixed length code for a Kth order ergodic Markov source, which compresses more effectively than the best fixed-to-variable code (Huffman code).

We give a complete characterization of so called powerful arithmetic progressions, i.e. of progressions whose kth term is a kth power for all k. We also prove that the length of any primitive arithmetic progression of powers can be bounded both by any term of the progression different from 0 and ±1, and by its common difference. In particular, such a progression can have only finite length.

We give three descriptions of the factors of a Sturmian word that are standard words. We also show that all Sturmian words are so-called everywhere abelian krepetitive for all integers k ≥ 1, that is, all sufficiently long factors have an abelian kth power as a prefix. More precisely, given a Sturmian word t and an integer k, there exist two integers `1 and `2 such that each position in t has a...

Heating, Ventilation and Air Conditioning (HVAC) systems are used to maintain desired indoor comfort levels in the built environment against the effects of disturbances such as weather conditions and internal loads. Since these disturbances are in general predictable and buildings have thermal mass, implementing model predictive control strategies can lead to energyand cost-efficiency. The auto...

By considering a least squares approximation of a given square integrable function f : [0, 1] → IR by a shifted L-statistic function (a shifted linear combination of order statistics), we define an index which measures the global influence of the kth largest variable on f . We show that this influence index has appealing properties and we interpret it as an average value of the difference quoti...

Rician noise pollutes Magnetic Resonance Imaging (MRI) image and makes later work worse. In allusion to remove noise while lessen the loss of details as low as possible, this paper proposed an filter algorithm which comprehensive utilize Genetic Algorithm (GA), PDE and TV, based on 4th order Partial Differential Equations (PDE) and Total Variation (TV) theory. First, it calculates the Total Var...

1.—Material and Nanophysics Department, KTH Royal Institute of Technology, 164 40 Kista, Sweden. 2.—Swedish e-Science Research Center, KTH, 10044 Stockholm, Sweden. 3.—Department of Physics and Astronomy, Uppsala University, Box 516, 751 20 Uppsala, Sweden. 4.—Department of Electronics, Mathematics and Natural Sciences, University of Gävle, Gävle, Sweden. 5.—Laboratory of Organic Electronics, D...

Institute of Artificial Photosynthesis, State Key Laboratory of Fine Chemicals, DUT–KTH Joint Education and Research Centre on Molecular Devices, Dalian University of Technology (DUT), 2 Linggong Road, 116024 Dalian, China School of Chemical Science and Engineering, Centre of Molecular Devices, Department of Chemistry, KTH Royal Institute of Technology, Teknikringen 30, 10044 Stockholm, Sweden ...

We study invasion percolation in two dimensions, focusing on properties of the outlets of the invasion and their relation to critical percolation and to incipient infinite clusters (IICs). First we compute the exact decay rate of the distribution of both the weight of the kth outlet and the volume of the kth pond. Next we prove bounds for all moments of the distribution of the number of outlets...