A KRND OF LINEAR SPACE WHOSE DEMENSIONS ARE EQUAL TO THE NUMBER OF THE SOLUTIONS TO THE NON-NEGATIVE INTEGER OF THE INDEFINITE EQUATION:N_1+2N_2+…+kn_k=n.

Design Theory of Quasi-Transient state of Killing Wen in Empty Hole Filling with Natural Gas——The First Bottom Pressure is Equal to the Formation Pressure

At first,a kind of qualitative explanation why the mean free path of molecule(穿) passing through a certain reference section in the course of transportation is not equal to but larger than is brought forward,and then,穿=2 is worked out by means of quantitative calculation.

In the RIA experiments,the geometric means of the potencies were 1275mIU/ampoule for rhPRL 97/714、239mIU/ampoule for G-PRL 98/580 and 597mIU/ampoule for NG-PRL98/582,and were respectively equal to 100.7%,103% and 97.5% of the geometric means supplied by WHO draft report.

(2) The survival rate of the group treated with 2Gy radiation combined with 4μmol/L As2O3 was significantly lower than that of the group treated with 6Gy radiation (P<0.01), and was equal to that of the group treated with 8Gy radiation (P>0.05);

3 cases in partial remission group, the mean DNA content in peripheral blood was (0.57±0.24) ×106pg/μl,being equal to (1.82±0.19)×103 leukemia cells in every microliter peripheral blood.

the quantity of catalyst was equal to 0.6% of feedstocks,the reaction temperature was 78～110 ℃,and the reaction time was 45 min. The test results have shown that(H_4SiW_(12)-)O_(40)/MCM-48 is an excellent catalyst for synthesizing butanone 1,2-propanediol ketal with its yield reaching over 91.9%.

The experimental results showed that if the synchronization period was less than or equal to 10s the time deviation between client and server was less than or equal to ±5μs.

Along with the increasing deviation value of FRC between corresponding fingers,the variety trend of the frequency was gradually reducing,and an overwhelming majority(88.2%) of the value was less than or equal to 3.The frequency distribution of TFRC was close to a normal distribution.

The ISSR profiles of wild P. cornucopiae in Hebei, Shandong and Yunnan are equal to those of commercial varieties cultivated before, and the similarity analyzed by UPGAMA is 100%.

It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.

The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.

Furthermore, it is proved that the minimum of the total number of bends in an at most single-bend embedding of a cubic graph of ordern is less than or equal to 0.5n+1.

Generally, The risk-neutral default intensity λQ is not equal to the empirical or actual default intensity λ.

Under the condition of irreducibility, it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.

A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal diameter...

A right hallow circular cylinder of quartz having its generator parallel to the principal axis liberates electricity when subjected to torsion about its axis. Charges of opposite signs appear on the inner and outer surfaces. When torsion is applied in the same sense as that of the optical rotation, positive electricity is developed on the outer surface, and vice versa. The quantity of electricity produced by the action of a couple of moment C on a hollow quartz cylinder of external diameter d0, internal diameter di and length l is klC/do do-di), where k is equal to 9.2x10-8 in absolute C. G. S. electrostatic units.

Von Knorre first suggested the use of benzidine and o-tolidine for the determination of tungsten. With the latter reagent, he succeeded also in separat- ing tungstate from phosphate. Later on, o-dianisidine and vanillylidene benzidine have been proposed as precipitants for tungstate. The optimum pH ranges for the quantitative precipitation of tungstate by means of these precipitants and tetraminodiphenyl, which have not yet been found in the literature, are: benzidine pH: 2.0-5.5 o-tolidine 2.9-4.7 o-dianisidine...

Von Knorre first suggested the use of benzidine and o-tolidine for the determination of tungsten. With the latter reagent, he succeeded also in separat- ing tungstate from phosphate. Later on, o-dianisidine and vanillylidene benzidine have been proposed as precipitants for tungstate. The optimum pH ranges for the quantitative precipitation of tungstate by means of these precipitants and tetraminodiphenyl, which have not yet been found in the literature, are: benzidine pH: 2.0-5.5 o-tolidine 2.9-4.7 o-dianisidine 2.0-4.1 vanillylidene benzidine 1.7-3.9 tetraminodiphenyl 1.7-4.8 The effect of introducing various groups into the benzidine molecule upon the tungsten precipitating property is not profound. The relation between quantitative precipitation of tungstate with benzidine and the product of concentrations of both constituents before precipitation Was studied. It is found that quantitative precipitation of tungstate ions Can be realized only when the product of concentrations of reactants before precipitation is equal to or greater than 0.8 × 10~(-5), and the moles of benzidine added must be at least equal to that of tungstate. The gravimetlic determination of tungsten by means of o-tolidine may be applied to samples containing as low as 10 mg of rungsten trioxide in 200 ml solution, if an absolute error of 0. 5 mg can be tolelxted. For larger quantities of tungsten present in sample, the absolute errors amount to only 0.1-0.2 mg. Tetraminodiphenyl may be used as a tungsten precipitant, but no advantage over benzidine Wan found in our present studies.

It is pointed out in this paper that the following apparent discrepancies exist in Coulomb's Theory: (1) In any problem in mechanics, a force to be definite must have all the three factors involved under consideration. In Coulomb's Theory, however, the point of application of the soil reaction on the plane of sliding is somehow neglected, thus enabling the arbitrary designation of the obliquity of the earth pressure on the wall to be equal to the friction angle between the wall surface and soil. As a matter...

It is pointed out in this paper that the following apparent discrepancies exist in Coulomb's Theory: (1) In any problem in mechanics, a force to be definite must have all the three factors involved under consideration. In Coulomb's Theory, however, the point of application of the soil reaction on the plane of sliding is somehow neglected, thus enabling the arbitrary designation of the obliquity of the earth pressure on the wall to be equal to the friction angle between the wall surface and soil. As a matter of principle, the point of application should never be slighted while the obliquity of the earth pressure could only have a value that is compatible with the conditions for equilibrium. (2) If the point of application of the soil reaction is taken into account in the problem, the sliding wedge would only tend to slide either on the plane of sliding or on the surface of wall but not on both at the same time, thus frustrating the very conceptidn of sliding wedge upon which Coulomb's Theory is founded. (3) The above discrepancies arise from the fact that the shape of the surface of sliding should be curvilinear in order to make the wedge tend to slide as desired, while Coulomb, however, adopted a plane surface instead. (4) Coulomb, in finding the plane of sliding, made use of the maximum earth pressure on the wall (for active pressure), which refers to the different magnitudes of pressure corresponding to different assumed inclinations of the plane of sliding. But from the relation between the yield of wall and amount of pressure, this maximum value is really the minimum pressure on the wall, which it is the purpose of the theory to find. In engineering books, however, this terminology of maximum pressure has caused considerable confusion, with the result that what is really the minimum pressure is carelessly taken as the maximum design load for the wall. How can a minimum load be used in a design?This paper also attempts to clarify some contended points in Rankine's Theory: (1) It is claimed by Prof. Terzaghi that Rankine's Theory is only a fallacy because of the yield of wall and that of the soil mass on its bed. This charge is unjust as it can be compared with Coulomb's Theory in the same respect. (2) Some books declare that Rankine's Theory is good only for walls with vertical back, but it is proved in this paper that this is not so. (3) It is also generally believed that Rankine's Theory is applicable only to wall surfaces with no friction. This is likewise taken by this paper as unfounded and illustration is given whereby, in this regard, Rankine's Theory is even better than Coulomb's, because it contains no contradiction, as does Coulomb's.