Center frequency migration of bandpass filter in dual laterolog logging tool directly influences the accuracy of formation resistivity measurement. This paper derives the universal formulas for three characteristic parameters, center frequency, gain of center frequency and quality factor of bandpass filter, calculates the theoretical values of the three characteristic parameters;

Universal formulas are given of the mutual impedance between two probes arbitrarily located in a rectangular waveguide, by means of dyadic Green's function, field transformation and the concept of reaction.

Universal formulas have been derived for the maximal thermal stresses arising on heating a thin rod from the end, which contain the ratio of the width to the heating depth.

Here the method of functional equations is justified for the exponential shift families, and universal formulas for the distributions of sufficient statistics and statistics related to them are obtained.

Eventually, an attempt on universal formulas was made for estimating the leaf moisture conditions of both herbaceous and woody plants as mentioned above.

A proposal for universal formulas for estimating leaf water status of herbaceous and woody plants based on spectral reflectance

We also examine the question whether there are theories with mixed quantifiers that can be reliably inferred with closed, universal formulas in the data, but not without.

This paper summarizes the results of our experimental research on the stiffness and crack width of reinforced concrete members under short-term loading and the corresponding proposals for calculation during the past period of more than twenty years. Herein are included flexure members and members under eccentric loading(tension or compression). The computation can be carried out by means of a series of universal formulas which form a complete calculation system. For flexure members, this system consists...

This paper summarizes the results of our experimental research on the stiffness and crack width of reinforced concrete members under short-term loading and the corresponding proposals for calculation during the past period of more than twenty years. Herein are included flexure members and members under eccentric loading(tension or compression). The computation can be carried out by means of a series of universal formulas which form a complete calculation system. For flexure members, this system consists of reinforced concrete, reinforced light concrete and prestressed concrete members; moreover, not only the members with common sections and reinforcements, but thin web members and members with circular hollow section are also involved. At the same time, biaxial flexure R. C. members and those with common and circular hollow sections subjected to eccentric loading are also included. The methods proposed in this paper for calculating the stiffness and crack width of reinforced concrete flexure members have already been adopted in the Chinese Design Code(TJ 10-74)published in 1974.The proposed equations are derived from explicit mechanical models, the physical concept of which is quite clear. It is shown in the checking that all equations are in accord with the experimental data. The stiffness equation proposed for reinforced concrete flexure members as compared with those in the USSR and USA Codes, and in CEBFIP Model Code, is not only simple, but also accords well with the results of experiments.This paper also presents the research results for continuous beams and their related calculation methods. Besides the research and calculation materials for the stage of working load, the complete moment-curvature curve and the calculation of ultimate deformations are provided too. The number of specimens exceeds 500.

Universal formulas are given of the mutual impedance between two probes arbitrarily located in a rectangular waveguide, by means of dyadic Green's function, field transformation and the concept of reaction. The waveguide is semifinite in length. The reflection coefficient at the terminal plane (z = 0) is Γ. The lengths, feeding points and locations of the two probes in the waveguide are all arbitrary. As examples, the expressions of mutual impedance are given for eight specific cases and followed by discussion....

Universal formulas are given of the mutual impedance between two probes arbitrarily located in a rectangular waveguide, by means of dyadic Green's function, field transformation and the concept of reaction. The waveguide is semifinite in length. The reflection coefficient at the terminal plane (z = 0) is Γ. The lengths, feeding points and locations of the two probes in the waveguide are all arbitrary. As examples, the expressions of mutual impedance are given for eight specific cases and followed by discussion.

We obtain a set of universal radiation formulas for a relativistic charged particle moving in curved magnetic field lines with arbitrary pitch angle, which can reduce to the formulas for either synchrotron radiation or curvature radiation in appropriate limits. These universal formulas present a new radiation mechanism.Since magneitic field lines are generally curved, this new mechanism can more realistically describe the radiation from charged particles in various magnetic systems,especially in the magnetosphere...

We obtain a set of universal radiation formulas for a relativistic charged particle moving in curved magnetic field lines with arbitrary pitch angle, which can reduce to the formulas for either synchrotron radiation or curvature radiation in appropriate limits. These universal formulas present a new radiation mechanism.Since magneitic field lines are generally curved, this new mechanism can more realistically describe the radiation from charged particles in various magnetic systems,especially in the magnetosphere of pulsars.