The basic concept of general recurrence and the parallel algorithm of linear first—order recurrence equations are introduced in this pape Moreover, the design ideas of the parallel Kalman filter is proposed While the applieation of the parallel recurrence algorithm in the parallel processing of the measurement update equation being discussed, the parallel architecture for implementing the algorithm is presented.

In the PPN formalism, the first—order closed analytical solutionsof rotating celestial bodies on the improvement of instaneous orbital elements are obtained in the solar system.

The results showed that medemycin is stable at 55℃, 70℃ over a pH range of 2—9, but not stable at 50℃,55℃, 65℃, or when pH=1.0,pH=12. The hydrolytic reaction of medemycin complies with a first—order reaction of kinetic equation.

This paper reports a simpIe flow injection—spectrophotometric experimental method in the determination of pseudo first—order rate constants and the apparent activation energy, by the reaction of permanganate oxidaion of benzaldehyde in water solution of H_2SO_4 at 278.2-318.2K.

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

With the rapid progress of the electronic art, there has been a steadily increasing demand for still wider-bandwidth amplifiers. The recent introduction of distributed amplification concept has provided a new technique and powerful means for designing amplifiers with top cutoff frequencies far in excess of those previously obtainable with,ordinary amplifier circuits. A distributed amplifier of the low-pass type can easily be constructed to have a uniform frequency response from audio frequencies to frequencies...

With the rapid progress of the electronic art, there has been a steadily increasing demand for still wider-bandwidth amplifiers. The recent introduction of distributed amplification concept has provided a new technique and powerful means for designing amplifiers with top cutoff frequencies far in excess of those previously obtainable with,ordinary amplifier circuits. A distributed amplifier of the low-pass type can easily be constructed to have a uniform frequency response from audio frequencies to frequencies as high as several hundred me using conventional vacuum tubes. Unlike conventional circuits, distributed amplifiers have an attainable gain-bandwidth product which is not limited by shunt capacitance associated with the vacuum tubes and circuit wiring; the high-frequency limit being determined entirely by high-frequency effects within the tube proper.The purpose of this paper is to describe the basic principle of distributed amplification and to show how such an amplifier employing various types of transmission lines may be designed. Practical methods hi design and design details are given for a three-stage distributed amplifier, using fourteen 6AK5 pentodes with a frequency response of 0.1 mo to 140 mo and a gain of 33±1 db.Both the negative mutual-inductance m-derived and constant K artificial delay lines hare been used. The former offers the advantage of a more linear phase characteristic and a more uniform response both in amplitude and delay time.The experimental results corroborate the predictions based on the first-order theory described in this paper.

Uhlenbeck has proposed that the ideal Bose-Einstein condensation is a phase transition of the first order in which the gas condenses to a phase of zero volume. In this paper the difficulty in Uhlenbeck's view is pointed out and discussed. In order to avoid this difficulty a two-gas View-point is proposed, in which the gas is conceived as a mixture of two parts, a super-gas and a normal gas- a view similar to that of the two-fluid model of liquid helium. When the temperature ia decreased beyond the...

Uhlenbeck has proposed that the ideal Bose-Einstein condensation is a phase transition of the first order in which the gas condenses to a phase of zero volume. In this paper the difficulty in Uhlenbeck's view is pointed out and discussed. In order to avoid this difficulty a two-gas View-point is proposed, in which the gas is conceived as a mixture of two parts, a super-gas and a normal gas- a view similar to that of the two-fluid model of liquid helium. When the temperature ia decreased beyond the condensation temperature, the super-gas appears, and under isothermal compression the relative amount of the super-gas increases as the volume is decreased. The chemical potential of the super-gas is always KOTO, and the equilibrium, comli ion of the mixture of super-gas and normal gas explains the fact that the pressure is independent of the volume and satisfies an equation of the Clapeyron type in a phase transition of the first order. In the end of the paper an analogous view for the temperature radiation is discussed.