Because of taking only advantage of the first item in scattering series, method of Born approximation inversion is only suitable to little disturbance imaging. And it will produce great error in condition of great perturbation.

Cheng. However in Cheng type equation the first item “ a ” is 1.0 only when the well is a vertical one, thus the end points of the curve described this equation are irrational: the production rate calculated by this equation does not equal to its maximum production rate when the bottom hole inflow pressure is “0”, and the productivity index well not be “0”, when inflow bottom hole pressure differential is 0;

It is pointed out that the "more exact" equations in the work [4] dealing with the same problem are incomplete, in view of the fact that there the first term W*(0) in the asymptotic aeries for the "function of intensity" W*[see eq. (1.3) in this paper] was replaced by its value W*(0) | α=α0 on the boundary curve.

In the expression the first term is proportional to Euler class, the second term contains not only the ordinary Weyl tensor square but also the other conformal invariants.

In this paper, using functions of a vibrating beam as displacement functions, we solve rectangular plate cases of various boundary conditions by minimal potential energy principle and Rayleigh—Ritz method. Taking the first term of the series of functions of a vibrating beam, the displacement error is small。 Taking the first two terms, the stress error is small.

The results of numerical calculation show that the two formulas converge very fast, so it is feasibe to take the first term or the sum of first two terms only.

After two days, when the rats restituted to the normal condition so that could move freely, we did the four procedures of experiments as follows. The first was injecting different dose of ANP (0.6ng/0.2μl, 6ng/0.2μl, 60ng/0.2μl) into the PVN to observe the effects on sensitivity of baroreflex.

The predecessor of the common agricultural policy is the European Economic Community Common Agricultural Policy (CAP), it is the first common policy which European Economic Community implements, also is the core content of multitudinous common policy, with the customs union was considered together is the Europe economic integration two big props.

3. In this paper, mean crowding (M) is proposed as the independent vari-able, M = M+V/M-1, population density plus the aggregation index I ofDavid and Moore (1954) .

The decision to return continue loading was affected by the size of the prey as shown by the fact that prey carried singly was significantly larger than the first item in an MPL for all individuals.

The distance to the CP also seemed to affect this decision as prey provisioned singly on average were collected significantly closer to the nest than the first item in an MPL by one pair.

Such interference theory has been tested in this model by assuming that the retention of a first learned item followed by the learning of other successive tasks, depends on the inhibitory effect induced by them on the first item.

In one experiment the items were digits; grouping could be detected by the fact that recall of the last two items in a group was heavily contingent upon recall of the first item.

In the first item patients were asked to state the number of days they spent with "discomfort".

The first term of the asymptotic expansion of the spectral function and N (λ) is found for such operators; here N (λ)

Approximate calculation of the first term of the Taylor expansion at the identity of the canonical L-function of Weyl curves

For differential operators forming an algebra of a certain class that includes algebras of higher derivatives, a Poisson structure is introduced and the first term of the Hochschild spectral sequence is calculated.

The equations of motion are integrated within the framework of the double-averaged problem taking into account only the first term in the expansion of the perturbing function.

For aligned atoms the vector μ(t') is collinear with k, and the first term is an even function of ω-ωba.

In this paper, the "short-time" part of the linewidth of a laser beam has been considered with the fundamental equations which describe the behaviours of lasers. This linewidth is described usually by

本文从描述光激射器工作的基本方程出发,讨论了光激射器光束线宽的“短期”(short-time)部分。通常都以下式描写这部分线宽: △Vs=8πhv(△v′)~2/P, (1) 其中△V′是谐振腔电磁模的半宽度;v为光束频率;P为输出功率。我们的主要结论可以归结为以下三点:(1)线宽主要是由与电磁模耦合的耗散体系引起的,与分子耦合的耗散体系的贡献是可以忽略的;(2)在单模近似下,只要分子的线宽比电磁模的线宽大得多,则(1)式是正确的;(3)如果多模谐振腔中激发模与其他模之间的相互作用是强的,则式(1)将被推广为 △Vs=8πhv(△v′)~2/P+4hv(△v′)/P some from n=(λ′≠λ)r_(λλ′)~2/rλ′,(2)其中rλλ′是相关弛豫系数;rλ′是模λ′的线宽。在某些情况下,式(2)中第二项可以比其第一项还大。所以,这可能是目前关于线宽的实验结果与由式(1)计算结果不相符合的原因之一。

By assuming the weak lens focal length expression to be the first term in a power series, a simple and accurate formula can be derived for the objective focal length of a magnetic electron lens. This extended weak lens formula remains accurate even at strong excitations. This technique has also been applied to some of the other optical parameters. Where this approach was not practical, purely empirical formulae were derived. The constants in the for mulae were determined using data published by previous authors....

By assuming the weak lens focal length expression to be the first term in a power series, a simple and accurate formula can be derived for the objective focal length of a magnetic electron lens. This extended weak lens formula remains accurate even at strong excitations. This technique has also been applied to some of the other optical parameters. Where this approach was not practical, purely empirical formulae were derived. The constants in the for mulae were determined using data published by previous authors. The accuracies of the formulae are sufficient for most engineering design purposes.

With the method of dilution in constant concentration of added salts, viscosities of Na-salts of sulfonated polysulfone in DMP containing NaNO8 of different concentrations have been measured experimentally. Based on treatment of experimental data, an empirical equation is deduced as followingIn this equation, the first term represents the relationship between reduced viscosity and solution concentration in the absence of added salts while the second term represents the correction on reduced viscosity in the...

With the method of dilution in constant concentration of added salts, viscosities of Na-salts of sulfonated polysulfone in DMP containing NaNO8 of different concentrations have been measured experimentally. Based on treatment of experimental data, an empirical equation is deduced as followingIn this equation, the first term represents the relationship between reduced viscosity and solution concentration in the absence of added salts while the second term represents the correction on reduced viscosity in the presence of added salts. It can be predicted satisfactorily by this empirical equation how the concentration of added salts effected on the curve of reduced viscosity. Furthermore, this equation did show obviously how intrinsic viscosity of sample used varied with the concentration of added salts.