The sum of positive cell area was(7.86±0.49)×102 μm2, and the sum of integral absorbance was (13.66±70.00)×105 in the cmy-c experimental group. Compared with the cmy-c control group, there was significant difference (P < 0.01).

The results showed that the sum of positive cell area was (16.11±3.01)×102 μm2, and the sum of integral absorbance was (19.9±2.42)×105 in the bcl-2 experimental group. Compared with the bcl-2 control group, there was significant difference (P < 0.01).

Result: Normal blood flow volume of vertebral artery,right side of it stadys at 130.47±56.10ml/min while left side 164.21±63.54ml/min,the sum of both side is 293.70±80.74ml/min.

Cladosporium,Alternaria and Phoma are the dominant species of the two counties and the sum of them account for 81.25 % and 85.94 % in spore-producing fungus,respectively.

This assembly has definite assembling technological level with size of the assembly 95mm×67mm×1mm , it’s wiring density 12. 5wires/cm2,pore density 7.8pores/cm2 and sum of components and devices 122.

The sum of heterotrophic bacteria was( 2.37±1.83)×10~7 cfu/L and Vibrio were (11.77±13.86)×10~5 cfu/L in cultural water, but in sediment surface the heterotrophic bacteria were (7.90±29.08)×10~8 cfu/L, the Vibrio (1.18±3.27)×10~7 cfu/L.

We show that ${\mathcal M}(G,R)$ is a symmetric tensor category, i.e., the motive of the product of two projective homogeneous G-varieties is a direct sum of twisted motives of projective homogeneous G-varieties.

We also study the problem of uniqueness of a direct sum decomposition of objects in ${\mathcal M}(G,R).$ We prove that the Krull--Schmidt theorem holds in many cases.

For a split reductive algebraic group, this paper observes a homological interpretation for Weyl module multiplicities in Jantzen's sum formula.

The new interpretation makes transparent for GLn (and conceivable for other classical groups) a certain invariance of Jantzen's sum formula under "Howe duality" in the sense of Adamovich and Rybnikov.

From elements of the invariant algebra C[V]G we obtain, by polarization, elements of C[kV]G, where k ≥ 1 and kV denotes the direct sum of k copies of V.

This paper is a supplement to the author's previous paper "The Constants and Analysis of Rigid Frames", published in the first issue of the Journal. Its purpose is to amplify as well as to improve the method of propagating joint rotations developed, separately and independently, by Dr. Klouěek and Prof. Meng, so that the formulas are applicable to rigid frames with non-prismatic bars and of closed type. The method employs joint propagation factor between two adjacent joints as the basic frame constant and the...

This paper is a supplement to the author's previous paper "The Constants and Analysis of Rigid Frames", published in the first issue of the Journal. Its purpose is to amplify as well as to improve the method of propagating joint rotations developed, separately and independently, by Dr. Klouěek and Prof. Meng, so that the formulas are applicable to rigid frames with non-prismatic bars and of closed type. The method employs joint propagation factor between two adjacent joints as the basic frame constant and the sum of modified stiffness of all the bar-ends at a joint as the auxiliary frame constant. The basic frame constants at the left of right ends of all the bars are computed by the consecutive applications of a single formula in a chain manner. The auxiliary frame constant at any joint where it is needed is computed from the basic frame constants at the two ends of any bar connected to the joint, so that its value may be easily checked by computing it from two or more bars connected to the same joint.Although the principle of this method was developed by Dr. Klouěek and Prof. Meng, the formulas presented in this paper for computing the basic and auxiliary frame constants, besides being believed to be original and by no means the mere amplification of those presented by the two predecessors, are of much improved form and more convenient to apply.By the author's formula, the basic frame constants in closed frames of comparatively simple form may be computed in a straight-forward manner without much difficulties, and this is not the case with any other similar methods except Dr. Klouěek's.The case of sidesway is treated as usual by balancing the shears at the tops of all the columns, but special formulas are deduced for comput- ing those column shears directly from joint rotations and sidesway angle without pre-computing the moments at the two ends of all the columns.In the method of propagating unbalanced moments proposed by Mr. Koo I-Ying and improved by the author, the unbalanced moments at all the bar-ends of each joint are first propagated to the bar-ends of all the other joints to obtain the total unbalanced moments at all the bar-ends, and then are distributed at each joint only once to arrive at the balanced moments at all the bar-ends of that joint. Thus the principle of propagating joint rotations with indirect computation of the bar-end moments is ingeneously applied to propagate unbalanced moments with direct computation of the bar-end moments, and, at the same time, without the inconvenient use of two different moment distribution factors as necessary in all the onecycle methods of moment distribution. The basic frame constant employed in this method is the same as that in the method of propagating joint rotations, so that its nearest approximate value at any bar end may be computed at once by the formula deduced by the author. Evidently, this method combines all the main advantages of the methods proposed by Profs.T. Y. Lin and Meng Chao-Li and Dr. Klouěek, and is undoubtedly the most superior one-cycle method of moment distribution yet proposed as far as the author knows.Typical numerical examples are worked out in details to illustrate the applications of the two methods.

(1) Sodium salt of reduced codehydrogenase I has been obtained in good yield as a dry powder from codehydrogenase I by reduction with alcohol and alcohol dehydrogenase. This preparation was stable for at least 5 months when kept dry at -15℃. (2) The properties of the particle-bound codehydrogenase I cytochrome reductase system in heart muscle preparation were found to differ considerably from those of the soluble enzyme as obtained by Mahler et al. Among other things, the affinity for cytochrome c of the particle-bound...

(1) Sodium salt of reduced codehydrogenase I has been obtained in good yield as a dry powder from codehydrogenase I by reduction with alcohol and alcohol dehydrogenase. This preparation was stable for at least 5 months when kept dry at -15℃. (2) The properties of the particle-bound codehydrogenase I cytochrome reductase system in heart muscle preparation were found to differ considerably from those of the soluble enzyme as obtained by Mahler et al. Among other things, the affinity for cytochrome c of the particle-bound enzyme is much greater than the soluble enzyme. The Michaelis constant for cytochrome c of the former is only one twelfth of that of the latter.(Fig. 2A). (3) With either oxygen or excess cytochrome c as electron acceptor, it was found that the overall activity, in terms of rate of oxygen consumption or cytochrome c reduction, when both succinate and reduced codehydrogenase I were oxidized simultanously, did not represent the sum of the rates of oxidation when these two substrates were separately oxidized but equalled only the faster of the two separate oxidation rates(Fig. 5, Tables 1, 2). If 2,6-dichlorophenol indophenol was used as the electron acceptor, the overall rate of simultaneous oxidation of these two substrates was found to equal exactly the sum of the rates of separate oxidation(Table 3). (4) When either oxygen or excess cytochrome c was used as the electron acceptor, reduced codehydrogenase I and succinate each inhibited the rate of oxidation of the other(Figs 4, 6 & 7). Evidence has been presented to show that the inhibition of succinate oxidation by reduced codehydrogenase I is not due to the accumulation of oxaloacetate. (5) When malonate was also added to the reaction mixture, succinate no longer produced any inhibition of the oxidation of reduced codehydrogenase I(Fig. 8). (6) It is therefore concluded that in heart muscle preparation both succinate and reduced codehydrogenase I are oxidized by cytochrome c through a common, velocity limiting factor. This is in accordance with the view previously reached by some workers from studies on the action of certain inhibitors. However, it should be noted that in our experiments no agents which might produce any conceivable change in the colloidal structure of the enzyme system has been employed. (7) It should be emphasized that our results clearly show that great caution must be exercised in drawing conslusion on the role an enzyme might play in a complex enzyme system from studies of the properties of a solubilized enzyme. (8) It is believed that the competition of two enzyme systems for a common linking factor as demonstrated in this report has provided a new method for studies on the mutual relations of two or more enzyme systems.

A new approximation method is proposed in this article for the discussion of molecular structures,and this new method includes the two well-known theories,molecular orbital theory and electron-pair bond theory as two special cases.Let a molecule have n bonds and let the ith bond be described by the anti-symmetrical two-electron bond function ψ_i(v_(2i-1),v_(2i)).(If there exist one- electron,three-electron or many-electron bonds,they can be similarly described by the corresponding one-electron,three-electron...

A new approximation method is proposed in this article for the discussion of molecular structures,and this new method includes the two well-known theories,molecular orbital theory and electron-pair bond theory as two special cases.Let a molecule have n bonds and let the ith bond be described by the anti-symmetrical two-electron bond function ψ_i(v_(2i-1),v_(2i)).(If there exist one- electron,three-electron or many-electron bonds,they can be similarly described by the corresponding one-electron,three-electron or many-electron bond func- tions.) Then the stationary state of the molecule is represented by the follow- ing wave function Ψ, where the summation is over all permutations of 1,2,……,2n except those within the interior of the functions,since each ψ_i is already anti-symmetrical.Obviously (2~n/((2n)/!))~(1/2) is the normalization factor. By quantum mechanics the energy of the molecule equals (1) here H_i,T_(ij) and S_(11)' are respectively the following three kinds of operators, (2) (3) (4) The third term of equation (1) is the exchange integral of electrons 1 and 1', while (1,2') is that of electrons 1 and 2'.According to the definition of bond functions,ψ_i may be written as (5) Substituting equation (5) into equation (1) and carrying out the integration over spin coordinates,we obtain (6) It can be easily seen from equation (6) that the combining energy of a mole- cule consists of two parts,one being the binding energy of the bonds represent- ed by the first term of equation (6),and the other being the interaction energy of the bonds denoted by the second term of that equation. If we choose certain functions φ_i~('s) involving several parameters and substi- tute them into equation (6),we may determine the values of those parameters by means of the variation principle. For the discussion of bond interaction energies,we develop a new method for the evaluation of certain types of three-center and four-center integrals.The interaction energy of a unit positive charge and an electron cloud of cylindrical- symmetry distribution may be written as (7) where (8) and R_0~2=a~2+b~2+c~2 The interaction energy of two electron clouds both of cylindrical-symmetry distributions with respect to their own respective axes is evaluated to be (9) (10) where is to sum over j from zero to the lesser value of n-2i and m, is to sum over i from zero to the integral one of n/2 and (n-1)/2,and is to sum over all cases satisfying the relation =m-j,while b_(n,n-2i) represents the coefficient of x~(n-2i) in the n th Legendre polynomial.