Further,it is developed to a general WHT of time function with N(≠2~p)samples,id est the generalized tramform from N-dimensional vector space to 2~p-dimension vector space.

进一步将其推广为一般性的 N(≠2~p)点时间函数的 WHT,即由 N 维矢量空间到2~p维矢量空间的广义变换。

After analyzing the basis on the model of dynamic traffic assignment and the generic form of the dynamic link travel time function in the dynamic network model, the paper analyses and compares some discrete dynamic link impedance functions used in abroad as well as in our country, and point out their advantages and disadvantages.

Making the expected function extended as Fourier stages of an axis coordinate with its coefficient as an expected time function, by the orthogonality of Fourier stages the two-slage constant differential equation to calculate the unknown time function is thus obtained, which is completely similar to evolution function of single free state particle under a linear viscous damping with a given solution.

The results are as follows: The directivity of source time functions retrieved from P-and S-waves indicate that the nodal plane striking 199° is the fault plane, and that the earthquake ruptured unilaterally from the northeast to the southwest.

The result obtained in this study shows that:The source time functions retrieved from P- and S-waves recorded at different stations distributed at different azimuths show prominent directivity.

In the case that the dynamie regression coefficients are linear combination of some time functions,the estimation of dynamic regression coefficients is obtained and two advantageous properties of the estimation are proved.

We also compare the time functions obtained with P, SH or whole waveform data, respectively, and find that the time functions obtained with SH and whole waveform are coherent, while the time function obtained from P waveform data is different in amplitude.

For the 2+1 dimensional integrable KZ equation'a set of infinitely many trun-cted symmetries with infinitely many arbitrary functions of time are obtained by using formal series symmetry method.

Secondly, by using the method of separation of variables, the quantity that the displacement subtracts the special function is expanded as the multiplication series of Bessel function and the unknown functions of time. Thirdly, by virtue of the orthogonal properties of Bessel functions, the equations about these unknown functions are derived and the solutions are obtained. Finally, the elastodynamic solution of the hollow cylinder is obtained.

Under the assumptions that the stocks price process is driven by the Levy jump diffusion process , and the risk-free rate τ(t) and the volatility σ (t) are functions of time ,we obtain the pricing formula and put-call parity of the European option .

Results:The rabbits blood concentrations of rhbFGF after a fast iv injection showed the characteristic of the first class kinetics of the model of two compartments. The analytic equation was Ct=90.1156e-2.0107t+13.0707e-0.1783t.

To verify the stability and dependability of function of focus time, we use the UD、EW and NS component digital records of 5 aftershocks as experiential Green′s function, respectively, and get the unanimous results.

Aim at the problems that the inputs and outputs of some practical nonlinear systems are Continuous time signals,we brought forward a Continuous process neuron and process neural networks model.

Its effective solution is obtained only when the longitudinal pressure gradient is given as an arbitrary time function.

However, in practice we encounter cases when the flow rate is a known time function.

The frequency spectrum of a ferromagnet magnetization has been analyzed as a time function.

Determination of the capacity ratio and concentration-time function for stepwise elution with binary mobile phase with help of l

A method for the calculation of the capacity ratio and concentration-time function, basing on the theory of gradient elution chromatography, is examined by using high-speed liquid chromatography data.

The coefficients of the aerodynamic forces acting on the body are calculated as time functions; in the case of free oscillations the paths of the body and the instantaneous velocities of the oscillatory motion are calculated.

A representation of the solution of the heat-conduction equation is examined in the form of a series, arranged in increasing order of derivatives of boundary time functions.

A solution in the form of a series in time functions and polynomials of the space coordinate is obtained using as an example the moisture conduction equation with allowance for the finite rate of capillary motion.

Expressions for the required time functions are determined in accordance with prescribed boundary and contact conditions by means of the Laplace transformation.

In this regard, we consider the amplitude spectra of five different time functions.

Article [3] examined deceleration in an exponential atmosphere of a body whose shape and size are given functions of time.

Equations for the change in the volumes of the air bubbles as functions of time and velocity distribution in the liquids are obtained for the case when the radius of the capillary is much less than the lengths of the liquid columns.

We study systems of differential equations with perturbations that are unbounded functions of time.

This model enables one to determine the thickness of the adsorption-solvation shells on solid-phase particles and also the concentrations of the components of the dispersion (continuous) phase as functions of time.

In this case, the phonons are shown to occur in a nonclassical state in which their fluctuational properties, different in various quadratures, are described by periodic functions of time.

A more general mathematical analysis of the kinetics of polycondensation-depolycondensation reactions is given in the article. Three different types of reactions are considered, namely, (1) reactions between molecules AB and AB, (2) reactions between molecules AA and BB, (3) reactions between molecules AA and BC. One of the condensation products is assumed (without loss of generality) to be water.For reactions of the first type, [p_n], the number of molecules of the n-mer (AB)_n, obeys the following Flory distribution:...

A more general mathematical analysis of the kinetics of polycondensation-depolycondensation reactions is given in the article. Three different types of reactions are considered, namely, (1) reactions between molecules AB and AB, (2) reactions between molecules AA and BB, (3) reactions between molecules AA and BC. One of the condensation products is assumed (without loss of generality) to be water.For reactions of the first type, [p_n], the number of molecules of the n-mer (AB)_n, obeys the following Flory distribution: [p_n]=N_0p~(n-1)(1-p)~2 where N_0 denotes the total number of AB segments (including the unreacted monomers). and p, as defined by is a measure of the degree of condensation. It is shown that p is the solution of the following differential equation: dp/dt=k/2N_0(1-p)~2-k_(-1)p[H_2O] where K and k_(-1) are velocity constants of condensation and hydrolysis respectively, and [H_2O] denotes the number of water molecules. Three special cases are discussed.For reactions of the second type, three different types of condensation products are possible besides water; they obey the following distributions: [p_(2n)]=2N′_0r~(n-1)p~(2n-1)(1-p)(1-rp) [p′_(2n-1)]=N′_0r~(n-1)p~(2n-2)(1-p)~2 [p″_(2n-1)]=N′_0r~(n-2)p~(2n-2)(1-rp)~2 where N′_0 and N″_0 denote the total number of segments AA and BB respectively, r denotes the ratio N′_0/N″_0, and p, as defined by is the solution of the following differential equation: dp/dt=kn′_0/r(1-p)(1-rp)-k_(-1)P[H_2O]For reactions of the third type, six different types of condensation products are possible besides water; they obey the following distributions: [P′_(2n)]=NP~(n-1)q~n(1-p/2-q/2)(1-p) [p″_(2n)]=Np~nq~(n-1)(1-p/2-q/2_(?))(1-q) [p_(2n-1)=Np~(n-1)q~(n-1)(1-p/2-q/2)~2 [p′_(2n-1)]=N/4p~(n-2)q~n(1-p)~2 [p″_(2n-1)]=N/4p~nq~(n-2)(1-p)~2 [p′″_(2n-n)]=∈(n)N/4p~(n-1)q~(n-1)(1-p)(1-q),where N denotes either the total number of segments AA or that of BC, while p and q, as defined by satisfy the following set of differential equations: dp/dt=k′N/2(1-p)(2-p-q)-k′_(-1)p[H_O] dq/dt=k″N/2(1-q)(2-p-q)-k″_(-1)q[H_2O]

This paper aims at deriving a simple and reliable method for the determination of cyclic variation of exhaust gas pressure and temperature before turbine of an impulse-charged diesel engine, in order to facilitate the design of exhaust gas turbine. A succinct explanation on the process of the formation of exhaust impulse in exhaust pipe of a diesel engine with pulse system is made. In consideration of the characteristics of a two-stroke engine and also following the analysis of experimental data, it has been...

This paper aims at deriving a simple and reliable method for the determination of cyclic variation of exhaust gas pressure and temperature before turbine of an impulse-charged diesel engine, in order to facilitate the design of exhaust gas turbine. A succinct explanation on the process of the formation of exhaust impulse in exhaust pipe of a diesel engine with pulse system is made. In consideration of the characteristics of a two-stroke engine and also following the analysis of experimental data, it has been found that in large and medium sized two-stroke diesel engines the exhaust pipe is all over under the same instantaneous pressure during most of the scavenging period, and is only a function of the time, thus the phenomenon can be regarded as the process of filling and evacuating the chamber of the exhaust pipe. It has also been found that the temperature is not only a function of the pressure but also to a agreat extent influenced by the displacement of the gas layers in pipe. In case of a pipework branches, there exist two gas zones with different temperatures. Study has also been made to the influence of the propagation of gas state variations on gas state at the beginning period of the formation of exhaust impulse. Basing on the above considerations, by a series derivation from the basic equation of Glagolev and the equations for the determination of the state variation of mixed gases in a container, the required formulas have been obtained. The particular items of the formulas can be regarded as particular functions, for which tables and graphs are provided for use. By using the step-by-step integration, it is easy to determine the variation of the exhaust gas pressure and temperature before the turbine, and the same can be used as basis to design the exhaust gas turbine of an impulse-charged engine. The calculation can also be made speedily by an electronic computer. In this paper, tentative calculation has been made on 3EDZ 43/67 type engine, with a result showing that there is only a small deviation between the figures of calculation and those of the actual measurement. It is expected that this method of calculation of exhaust-impulse in pressurecharged two-stroke diesel engines will provide practical value in engineering.

The effect of decarburizing process on the magnetic properties of the grainoriented 3%Si-Fe has been studied. An empirical expression for the rate of decar-burization under given conditions was proposed. While the time of decarburizationwas given, the carbon content in 3%Si-Fe might be predicted, and vice versa.Another empirical expression for the rate of grain growth was also derived fromobservation of normal grain growth during decarburization. Based upon the aforementioned expressions, the functional dependence...

The effect of decarburizing process on the magnetic properties of the grainoriented 3%Si-Fe has been studied. An empirical expression for the rate of decar-burization under given conditions was proposed. While the time of decarburizationwas given, the carbon content in 3%Si-Fe might be predicted, and vice versa.Another empirical expression for the rate of grain growth was also derived fromobservation of normal grain growth during decarburization. Based upon the aforementioned expressions, the functional dependence of thecarbon content before secondary recrystallization and time required for decarburi-zation on final magnetic properties of the grain oriented 3%Si-Fe has been dis-cussed. A two-demensional plot was then drawn on which the decarburizing pro-cess would be easily determined to acquire materials of superior quality.