③The mathematical model of lysine requirement was established : the true digestible lysine requirement(mg/d)=7652.7059+115.36W+1.1718W 2-0.01882W 3+36W0.75.

A socialist political civilization with Chinese characteristics is the result of the development of China's socialist modernization in the stage featuring the realm of the true, the good and the beautiful .

Compared the leitmotiv of the true , the good and the beautiful in the modern literature, Yu Hua's novels, by retrospecting and surveying "the true", have gone to another way different from the traditional literature, that is, from the true(the reality of the world), to evil (the human nature), till filth.

Establishment of unity, friendship, progress, peace of the international community, figuring the thought personality of the true, the good and the beautiful unification is the basic purpose of the Olympic Movement, also is the core content of the Olympic spirit.

The traditional snake initial contour should be close to the true boundary of an object of interest in an image; otherwise, an incorrect result will be obtained.

Gibberellic acid shortened the true dormancy and decreased the contents of abscisic acid and ethylene in the apical meristem.

β-Indolylacetic acid elongated the true dormancy and decreased abscisic acid production, but caused a more than tenfold increase in the production of ethylene by apical tissues.

Furthermore, the overall changes are arbitrarily small over any finite time-interval provided that the time-derivative of the true parameter vector and the correction coefficients in the covariance updating rule are arbitrarily small.

An adaptive data transformation is studied, in which the order of decay of the tail of the true distribution density is preserved and stable estimation of the deviation in tail index estimates is guaranteed.

Fineness modulus (F. M.) has served as an index of fineness of aggregates since it was first introduced by Prof. Duff A. Abrams in 1918. In the concrete mix design, the F. M. of sand governs the sand content and hence the proportions of other ingredients. But there are undesirable features in F. M.: it does not represent the grading of sand and manifests no significant physical concept.Prof. suggested an "average diameter" (d_(cp)) in 1943 as a measure of fineness of sand. In 1944, d_(cp) was adopted in 2781-44...

Fineness modulus (F. M.) has served as an index of fineness of aggregates since it was first introduced by Prof. Duff A. Abrams in 1918. In the concrete mix design, the F. M. of sand governs the sand content and hence the proportions of other ingredients. But there are undesirable features in F. M.: it does not represent the grading of sand and manifests no significant physical concept.Prof. suggested an "average diameter" (d_(cp)) in 1943 as a measure of fineness of sand. In 1944, d_(cp) was adopted in 2781-44 as national standard to specify the fine aggregate for concrete in USSR. It was introduced to China in 1952 and soon becomes popular in all technical literatures concerning concrete aggregates and materials of construction.After careful and thorough investigation from ordinary and special gradings of sand, the equation of d_(cp) appears to be not so sound in principle and the value of d_(cp) computed from this equation is not applicable to engineering practice. The assumption that the initial average diameter (ν) of sand grains between consecutive seives is the arithmetical mean of the openings is not in best logic. The value of an average diameter computed from the total number of grains irrespective of their sizes will depend solely on the fines, because the fines are much more in number than the coarses. Grains in the two coarser grades (larger than 1.2 mm or retained on No. 16 seive) comprising about 2/5 of the whole lot are not duly represented and become null and void in d_(cp) equation. This is why the initiator neglected the last two terms of the equation in his own computation. Furthermore, the value of d_(cp) varies irregularly and even inversely while the sands are progressing from fine to coarse (see Fig. 4).As F. M. is still the only practical and yet the simplest index in controlling fineness of sand, this paper attempts to interpret it with a sound physical concept. By analyzing the F. M. equation (2a) in the form of Table 9, it is discovered that the coefficients (1, 2…6) of the separate fractions (the percentages retained between consecutive seives, a1, a2…a6) are not "size factors" as called by Prof. H. T. Gilkey (see p. 93, reference 4), but are "coarseness coefficients" which indicate the number of seives that each separate fraction can retain on them. The more seives the fraction can retain, the coarser is the fraction. So, it is logical to call it a "coarseness coefficient". The product of separate fraction by its corresponding coarseness coefficient will be the "separate coarseness modulus". The sum of all the separate coarseness moduli is the total "coarseness modulus" (M_c).Similarly, if we compute the total modulus from the coefficients based on number of seives that any fraction can pass instead of retain, we shall arrive at the true "fineness modulus" (M_f).By assuming the initial mean diameter (ν') of sand grains between consecutive seives to be the geometrical mean of the openings instead of the arithmetical mean, a "modular diameter" (d_m), measured in mm (or in micron) is derived as a function of M_c (or F. M.) and can be expressed by a rational formula in a very generalized form (see equation 12). This equation is very instructive and can be stated as a definition of mqdular diameter as following:"The modular diameter (d_m) is the product of the geometrical mean ((d_0×d_(-1))~(1/2) next below the finest seive of the series and the seive ratio (R_s) in power of modulus (M_c)." If we convert the exponential equation into a logarithmic equation with inch as unit, we get equation (11) which coincides with the equation for F. M. suggested by Prof. Abrams in 1918.Modular diameter can be solved graphically in the following way: (1) Draw an "equivalent modular curve" of two grades based on M_c (or F. M.) (see Fig. 6). (2) Along the ordinate between the two grades, find its intersecting point with the modular curve. (3) Read the log scale on the ordinate, thus get the value of the required d_m corresponding to M_c (see Fig. 5).As the modular diameter has a linear dimension with a defin

The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of friction...

The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of friction ν is considered as constant along the contact surfaces. For eachμ, a critical value of the ratio w0/h is given. When w/hthe true solution.Analytic expresions in terms of a rapidly convergent series for the nodal points in a slip line field defined by equal circular arcs are given in Appendix I. The computation was compared to the results obtained by R. Hill (ref. 1) using graphical construction with fairly rough meshes. The comparison shows that the graphical construction used is accurate for all practical purposes. From these expressions we obtain the analytic expression for wo/h in terms of the frictional angle connected with μ(Eq. 11).Finally, a short discussion on the graphical construction used for the case of constant μ is given in Appendix Ⅱ.

This is the second report of the results obtained on the improvement of Mongolian sheep by crossbreeding on the May First State Farm in Charhar, Inner Mongolia, and Chapei State Farm, in Changpei of Hopei Province (Formerly in Charhar). Mongolian ewes on these two Farms were crossed with rams of two finewool breeds-Soviet Merinoes and Caucasians,-and of a Medium-wool breed-Tsigai. all of which were introduced from the Soviet Union. The fleece of the Mongolian sheep on Chapei Farm is composed of 52.95°/o of true...

This is the second report of the results obtained on the improvement of Mongolian sheep by crossbreeding on the May First State Farm in Charhar, Inner Mongolia, and Chapei State Farm, in Changpei of Hopei Province (Formerly in Charhar). Mongolian ewes on these two Farms were crossed with rams of two finewool breeds-Soviet Merinoes and Caucasians,-and of a Medium-wool breed-Tsigai. all of which were introduced from the Soviet Union. The fleece of the Mongolian sheep on Chapei Farm is composed of 52.95°/o of true wool, 5.86% of hetero-typical fibres and 41.19% of hair (including kemp). When crossed with fine-wool rams, the true wool content rose to 82.32-87.36% in the F_1 generation, to 97.23-97.32% in the F_2 generation. Hair and kemp disappeared entirely on the shoulder sample of F_2, heterotypes decreased to 0.11%, while true wool content rose to 99.89%. The fleece of Mongolian sheep on the May First Farm contains 48.59% of true woo), which rose to 79.48% in the F_1 of Tsigai×Mongolian cross, and 91.17% in the F_1 of Soviet Merino×Mongolian cross. The results indicate that when Mongolian ewes are crossed with rams of finewool breeds, uniformity in fibre type can be attained in two generations. The fleece of F_2 sheep on the Chapei Farm is of 60-64's quality, the bettercared group being slightly coarser. When various groups of lambs and yearlings of F_1 and F_2 on Chapei Farm are compared, it is shown that under unfavourable environmental conditions, animals of the F_2 generation do not grow as fast as those of Ft, their constitution being also weaker than the latter. However, under better conditions, F_2 animals surpassed F_1 in either development of the body, fleece quality or fleece weight. It is evident that feeding and management conditions play a decisive role in animal improvement. The better-cared group of F_2 yearling ewes attained the following averages: body weight-41.3 kgs, height at withers-64.2 cm, fleece weight-4.69 kgs, yolk content of the fleece-20.65%, clean wool yield-53.85%, staple length-7.88 cm, average fineness of the fibres being of 60's quality.