For many continuous bio-medieal signals with both strong nonlinearity and non-stationarity, two criterions were proposed for their complexity estimation ： （1） Only a short data set is enough for robust estimation; ...For many continuous bio-medieal signals with both strong nonlinearity and non-stationarity, two criterions were proposed for their complexity estimation ： （1） Only a short data set is enough for robust estimation; （2） No over-coarse graining preproeessing, such as transferring the original signal into a binary time series, is needed. Co complexity measure proposed by us previously is one of such measures. However, it lacks the solid mathematical foundation and thus its use is limited. A modified version of this measure is proposed, and some important properties are proved rigorously. According to these properties, this measure can be considered as an index of randomness of time series in some senses, and thus also a quantitative index of complexity under the meaning of randomness finding complexity. Compared with other similar measures, this measure seems more suitable for estimating a large quantity of complexity measures for a given task, such as studying the dynamic variation of such measures in sliding windows of a long process, owing to its fast speed for estimation.展开更多
Reaction of Et 4NCl, NaSCH 2COOMe and W(CO) 6 in MeCN affords a new dinuclear tungsten(0) complex Et 4N 2 W 2(CO) 8(SCH 2COOMe) 2 (1). The crystal and molecular structure has been determined by X ray ...Reaction of Et 4NCl, NaSCH 2COOMe and W(CO) 6 in MeCN affords a new dinuclear tungsten(0) complex Et 4N 2 W 2(CO) 8(SCH 2COOMe) 2 (1). The crystal and molecular structure has been determined by X ray single crystal diffraction. 1 Crystallized in the triclinic, space group P 1 with a=11.141(7), b=10.267(4), c=10.798(3) ; α=93.96(3), β=96.88(4), γ=114.97(5)°; V=1003 3, Z=1, D c =1.76 g/cm 3, μ =60.1 cm -1 , R =0.042 and R w =0.050 for 2967 independent reflections with I】3.0 σ(I) . 1 contains a WS 2W planar core with nonbonding W…W distance of 3.9611(5) , and its IR, 13 C NMR, and cyclic voltammetry were measured and discussed.展开更多
In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the...In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the identity operator,and the class of J-symmetric composition operators does not coincide with the class of normal composition operators.In addition,we divide semigroups{φt}of linear fractional self-maps of C+into two classes.We show that the associated composition operator semigroup{Tt}is strongly continuous and identify its infinitesimal generator.As an application,we characterize Jσ-symmetric C0-semigroups of composition operators on A^2(C+).展开更多
文摘For many continuous bio-medieal signals with both strong nonlinearity and non-stationarity, two criterions were proposed for their complexity estimation ： （1） Only a short data set is enough for robust estimation; （2） No over-coarse graining preproeessing, such as transferring the original signal into a binary time series, is needed. Co complexity measure proposed by us previously is one of such measures. However, it lacks the solid mathematical foundation and thus its use is limited. A modified version of this measure is proposed, and some important properties are proved rigorously. According to these properties, this measure can be considered as an index of randomness of time series in some senses, and thus also a quantitative index of complexity under the meaning of randomness finding complexity. Compared with other similar measures, this measure seems more suitable for estimating a large quantity of complexity measures for a given task, such as studying the dynamic variation of such measures in sliding windows of a long process, owing to its fast speed for estimation.
文摘Reaction of Et 4NCl, NaSCH 2COOMe and W(CO) 6 in MeCN affords a new dinuclear tungsten(0) complex Et 4N 2 W 2(CO) 8(SCH 2COOMe) 2 (1). The crystal and molecular structure has been determined by X ray single crystal diffraction. 1 Crystallized in the triclinic, space group P 1 with a=11.141(7), b=10.267(4), c=10.798(3) ; α=93.96(3), β=96.88(4), γ=114.97(5)°; V=1003 3, Z=1, D c =1.76 g/cm 3, μ =60.1 cm -1 , R =0.042 and R w =0.050 for 2967 independent reflections with I】3.0 σ(I) . 1 contains a WS 2W planar core with nonbonding W…W distance of 3.9611(5) , and its IR, 13 C NMR, and cyclic voltammetry were measured and discussed.
文摘In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the identity operator,and the class of J-symmetric composition operators does not coincide with the class of normal composition operators.In addition,we divide semigroups{φt}of linear fractional self-maps of C+into two classes.We show that the associated composition operator semigroup{Tt}is strongly continuous and identify its infinitesimal generator.As an application,we characterize Jσ-symmetric C0-semigroups of composition operators on A^2(C+).
