The following one is a new OGY strategy proposed by a new linearization method used in the neighborhood of fixed points, which provide a easy and effective way to control chaos in a discrete dynamical system.

An optical binary image neighborhood processor based on a liquid crystal light valve is proposed. Using this processor, some morphological transformations such as dilation, erosion and edge detection have been implemented optically and the experimental results are given.

The following one is a new OGY strategy proposed by a new linearization method used in the neighborhood of fixed points, which provide a easy and effective way to control chaos in a discrete dynamical system.

An optical binary image neighborhood processor based on a liquid crystal light valve is proposed. Using this processor, some morphological transformations such as dilation, erosion and edge detection have been implemented optically and the experimental results are given.

The redshift mechanism is considered as the replacement of Ba2+ by Al3+ doped in BaFBr∶Eu2+ and the location of Al3+ is at next neighborhood to F(Br-) centers.

GeFe 2O 4 is a spinel type compound in which the neighborhood of a Fe 2+ ion has a trigonal symmetry with respect to an axis which is parallel to one of the three 〈111〉 direction,and varies from site to site .

Like the truncations of the Taylor expansion, the truncations of a chromatic expansion at t = t0 of an analytic function f(t) approximate f(t) locally, in a neighborhood of t0.

It is available for the case that the sign of f(x) changes frequently or the derivative f'(x) does not exist in the neighborhood of the root, while the Newton method is hard to work.

One allows the appearance of eight limit cycles in the neighborhood of infinity, which is the first example that a polynomial differential system bifurcates eight limit cycles at infinity.

Neighborhood union of independent sets and hamiltonicity of claw-free graphs

Let G be a graph, for any u∈V(G), let N(u) denote the neighborhood of u and d(u)=|N(u)| be the degree of u.

We have made three pyrex floats of the bulb-rod stream-line type, modified from that used in the Trail laboratories. These floats possess cach a thick-walled bulb 6.5 mm in diameter, with an upper rod 3.5 mm long and a lower rod 8 mm long, each rod being 2.5 mm in diameter and forming an angle of 60° at the end. With baths having temperature fluctuations within ±0.0005°, the velocity-temperature relationship has been determiued in the neighborhood of their flotation temperatures. It is found that the temperature...

We have made three pyrex floats of the bulb-rod stream-line type, modified from that used in the Trail laboratories. These floats possess cach a thick-walled bulb 6.5 mm in diameter, with an upper rod 3.5 mm long and a lower rod 8 mm long, each rod being 2.5 mm in diameter and forming an angle of 60° at the end. With baths having temperature fluctuations within ±0.0005°, the velocity-temperature relationship has been determiued in the neighborhood of their flotation temperatures. It is found that the temperature iuterval in which such a relationship is linear is much more extensive when the flotation temperature of the float is lower. Correspondingly, the velocity interval is only slightly larger. The results are as follows:Float Flotation Temperature Velocity intervalNo. temperature, ℃ interval, ℃ mm/sec1 28.86 ±0.08 ±0.192 24.17 ±0.12 ±0.203 17.79 ±0.26 ±0.22So it is advcntageous to use floats with lower flotation temperatures. With Aoat No. 2 we have determined the deuterium contents of two samples of heavy water.Besides, we have measured the effect of pressure on the flotation temperatures of these floats. Float No. 1 has been studied in more detail with the result that the relationship between the flotation temperature and the pressure is linear in the investigated pressure range of 48 cm Hg in the neighborhood of one atmosphere.

A general theoretical approach is developed to treat the effect of point imperfections on the spin waves in a ferromagnetic crystal. Special attention is paid to the formation of localized modes. As an example, the calculations have been carried out for a one-dimensional linear lattice. The main results obtained indicate the following features. A substitutional magnetic impurity atom may introduce more than one localized mode of spin waves. The conditions for the localized modes to appear and the positions of...

A general theoretical approach is developed to treat the effect of point imperfections on the spin waves in a ferromagnetic crystal. Special attention is paid to the formation of localized modes. As an example, the calculations have been carried out for a one-dimensional linear lattice. The main results obtained indicate the following features. A substitutional magnetic impurity atom may introduce more than one localized mode of spin waves. The conditions for the localized modes to appear and the positions of their energy levels are given in terms of J'S'/JS and J'/J. Here S' and S are respectively the spin quantum number of the impurity and that of the normal atoms. J' and J are respectively the exchange integral between an impurity and its neighbors and that between the normal neighboring atoms. Highly concentrated strains and interstitial atoms which cause the exchange interaction between the atoms in their neighborhood to increase lead also to the formation of localized modes. Furthermore, the dipole-dipole interaction has been taken into consideration with the conclusion reached that it should not destroy the existence of these localized modes. Discussions have been given to the discrete energy levels which appear below the continuous spectrum in case of J'<0. It is pointed out that the Holstein-Primakoff approximation adopted in the present work is not quite legitimate for certain cases in which on one or more atoms the spin deviation becomes not very much smaller than 2S or 2S'.

In the present paper general formulas are derived for the resonant frequency, the amplication factor MP, the form coefficient (?), and the input impedance of a composite concentrator horn. On the bases of these general formulas, formulas for computation are given for the step type concentrator with either conical, or exponential, or catenoidal transition section at the step; for the conical concentrator with a cylinder at its small end; and for the catenoidal concentrator with a cylinder at its large end. Values...

In the present paper general formulas are derived for the resonant frequency, the amplication factor MP, the form coefficient (?), and the input impedance of a composite concentrator horn. On the bases of these general formulas, formulas for computation are given for the step type concentrator with either conical, or exponential, or catenoidal transition section at the step; for the conical concentrator with a cylinder at its small end; and for the catenoidal concentrator with a cylinder at its large end. Values of MP and (?) as well as the dependence of the input impedance on kl2 in the neighborhood of the resonant frequency are actually computed for the above mentioned composite concentrators. Design curves are given. Check by experimentation shows that the theoretical values basically agree with the experimental results.