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equivalent
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     the equivalent of E.
     E.
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     is equivalent to the symbol ?
     熟知其可逆性,Fredholm性等价于符号?
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     THE EQUIVALENT DEPICTION ON(R(L),⊙)
     关于(R(L),⊙)的等价刻划
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     and 8) equivalent translation.
     8)对应法。
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  equivalent
Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric.
      
A linear model for a given action is a linear orthogonal action with the same orbit types and equivalent slice representations.
      
The propertyC1 resp.C2 is equivalent withG having a compact set of generators, resp.
      
More precisely, each orbit of the above action intersects one componentX ofQ in a finite number of points and the action of PGL4 restricted on each componentX is equivalent to the action of a finite groupGX onX which can be explicitely computed.
      
We give a new proof of the famous result that any two embeddings of the affine lineA1 inA2 are equivalent by an automorphism ofA2.
      
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The hydrodynamic theory of viscous lubrication is studied from Navier-Stokes differential equations ,by the method of successive approximation based upon the smallness of the film thickness. It is found that the first approximation gives the Reynolds equation of viscous lubrication. To simplify the numerical nature of the solution of Reynolds equation, the equivalent variational problem is formulated. The approximate solution obtained from the variational problem involves only a very small error, but much...

The hydrodynamic theory of viscous lubrication is studied from Navier-Stokes differential equations ,by the method of successive approximation based upon the smallness of the film thickness. It is found that the first approximation gives the Reynolds equation of viscous lubrication. To simplify the numerical nature of the solution of Reynolds equation, the equivalent variational problem is formulated. The approximate solution obtained from the variational problem involves only a very small error, but much less amount of numerical work.

本文基於Navier-Stokes氏微分方程式,研究粘滞性液体层的滑润作用;此种流体动力学的理论,乃依据液体层之薄度进行续步渐近之解法而得。本文除证明初步近似解答与Beynolds氏方程式之结果相合外,更进一步将解答Beynolds方程式的问题,代以一实际相等的变值问题。其结果非但减少计算工作,且亦正确可靠。

Conductivity measurements of the hydrochloride of aniline, methyl aniline and ethyl aniline in water aud in dioxane-water mixtures have been made at 25℃, by using a Jones Bridge. Measurements of conductances at 25℃ of these salts have been made in concentrations ranging from 0.1 normal to 0.001 normal, using water and numerous dioxane-water mixtures as solvents. The conductivities of these salts in water and some dioxane-water mixtures with excess free bases have also been measured. The hydrolysis constants...

Conductivity measurements of the hydrochloride of aniline, methyl aniline and ethyl aniline in water aud in dioxane-water mixtures have been made at 25℃, by using a Jones Bridge. Measurements of conductances at 25℃ of these salts have been made in concentrations ranging from 0.1 normal to 0.001 normal, using water and numerous dioxane-water mixtures as solvents. The conductivities of these salts in water and some dioxane-water mixtures with excess free bases have also been measured. The hydrolysis constants of these salts and the ionizatioa constants of these amines have been calculated from the conductivity measurements. The results are: K_h K_b Aniline hydrochloride 2.7 × 10~(-5) 4. 5 × 10~(-10) Methyl aniline hydrochloride 2.6 × 10~(-5) 4. 6 × 10~(-10) Ethyl aniline hydrochloride 1.1 × 10~(-5) 10. 6 × 10~(-10) A discussion of the effect of dielectric constant upon conductivities has been included. Calculations of the equivalent conductivities of these salts have been made and discussed. The equivalent conducfivities at infinite dilution at 25℃ are: Aniline hydrochloride 166 mho Methyl aniline hydrochloride 161 mho Ethyl aniline hydrochloride 152.5 mho

1. 作者在25℃時,用Jones電導橋测量氫氯化苯胺、N甲基苯胺及N乙基苯胺在水與水及二氧六圜的混合液裏的電導。這些氫氯化物的濃度為0.1,0.02,0.01, 及0.001 N。至於混合液中二氧六圜的成份,則爲每100毫升溶液內含有10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90等毫升。 2.含有過量苯胺類的這些氫氯化苯胺類的水溶液、以及水與二氧六圜的混合液中,也作了電導測定。 3.這些氫氯化物的水解分數、水解常數和這些苯胺的電離常數也作了計算和比較。 4.關於電導和介電常數的關係,在本文中曾爲簡單的討論。 5.這些氫氯化物的無限稀釋時的當量電導,在本文中也作了計算,並與文献中能查到的數據作了比較。

Two types of under-water quartz transducers, namely, the mosaic type & the array type, were designed and manufactured, particularly paying attention to the points of cementing of crystals and supporting of vibrating bodies, with a view to reducing the equivalent resistance r of the transducers when they are unloaded. A transducer of the mosaic type with an area of 609 mm~2, unsupported, measured 60 k Ω for its r, while one of the array type with an area of 259 mm~2, 15 k Ω. Finally, discussions were made...

Two types of under-water quartz transducers, namely, the mosaic type & the array type, were designed and manufactured, particularly paying attention to the points of cementing of crystals and supporting of vibrating bodies, with a view to reducing the equivalent resistance r of the transducers when they are unloaded. A transducer of the mosaic type with an area of 609 mm~2, unsupported, measured 60 k Ω for its r, while one of the array type with an area of 259 mm~2, 15 k Ω. Finally, discussions were made on the comparison of these two types of transducers with the conclusion that a transducer of the array type possesses more merits than that of the mosaic type. The ways for further improvements were considered.

我们设计了并制造了两种不同型式的水中用水晶机电转换器:(i)镶嵌型,(ii)叠片型;尤其注意于水晶片的胶合、振动体的支持等问题,其目的在于减少转换器在无负荷时的等值电阻r。测得一个面积为609平方毫米其支持点完全自由的镶嵌型转换器的r为60kΩ;又测得另一个面积为256平方毫米四块水晶叠片型转换器的r焉15kΩ。再后讨论了两种型式转换器的优缺点,显见得叠片型的优于镶嵌型的很多,并进一步考虑了可能改进之点。

 
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