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This map corresponds geometrically to restriction to the fixed point set of an action of a onedimensional torus on the flag variety of a semisimple group G.


It is shown that the onedimensional sampling sets correspond to Bessel sequences of complex exponentials that are not Riesz bases for $L^2[R,R].$ A signal processing application in which such sampling sets arise naturally is described in detail.


Moreover, we demonstrate that these wavelets do not behave like their onedimensional couterparts.


The onedimensional case is closely related to a number theoretical conjecture on tilings by Coven and Meyerowitz [1].


The Alternating Segment CrankNicolson scheme for onedimensional diffusion equation has been developed in [1], and the Alternating Block CrankNicolson method for twodimensional problem in [2].

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 A general theory of injection of minority carriers in pn alloy junctions was developed by using onedimensional model. It was assumed that the recombination rate is proportional to the density of injected carriers. Two extreme cases of low injection levels and high injection levels were first considered, and the result of which was then used as the zeroorder approximation in calculating the distribution of the injected minority carriers in pn junctions. By the method of successive approximation, an... A general theory of injection of minority carriers in pn alloy junctions was developed by using onedimensional model. It was assumed that the recombination rate is proportional to the density of injected carriers. Two extreme cases of low injection levels and high injection levels were first considered, and the result of which was then used as the zeroorder approximation in calculating the distribution of the injected minority carriers in pn junctions. By the method of successive approximation, an analytical expression for the relationship between the injection efficiency and the injection level (i. e. the ratio of the density of injected minority carriers to that of original majority carriers) was obtained. A similar expression for the relationship between the total current density flowing through the junction and the injection level was developed on the same basis. The results of the present theory show that for an ordinary alloy junction transistor, the injection efficiency of the emitter decreases gradually as the emitter current increases. At very high  本文用一维模型计算了pn合金结中少数载流者的一般注射理论。这里假设复合率是与注入载流者的密度成正比。首先,我们讨论了大注射和小注射的两种极端情况,这样得到的结果被用作零级近似解来计算pn结中注入少数载流者的分布情况。用逐步近似的方法我们得到了注射效率和注射强度(即注入少数载流者的密度与原有多数载流者的密度之比)间的解析关系。在同样的基础上也得到了通过结的总电流密度和注射强度间的类似关系。这理论的结果表明;对一个平常的合金结晶体三极管来说,当发射极电流增加时,发射极的注射效率逐渐下降。在很大的注射强度下,注射效率趋近于极限值1/(1+b),其中b是电子迁移率与空穴迁移率之比。对一个具有很低注射效率的pn合金结来说,在注射电流小的时候,注射效率是正比于通过结的总电流;当往射电流很大时,注射效率趋近于极限值1/(1+b)。理论结果还表明,在小注射情下,通过pn合金结的总电流是正比于注射强度;而在大注射情况下,它是正比于注射强度的平方。  The amyloseiodine complex is an inclusion compound of a long chain of equidistant iodine atoms in an amylose helix consisting of glucose units. Its spectrum has been explained quantummechanically by Cramer and Herbst and by Murakami using a onedimensional freeelectron model. But they obtained only the first absorption band, while it has been found, experimentally that there are at least two or possibly three more bands in the ultraviolet region (See Fig. 4, p. 22).In the present investigation we have... The amyloseiodine complex is an inclusion compound of a long chain of equidistant iodine atoms in an amylose helix consisting of glucose units. Its spectrum has been explained quantummechanically by Cramer and Herbst and by Murakami using a onedimensional freeelectron model. But they obtained only the first absorption band, while it has been found, experimentally that there are at least two or possibly three more bands in the ultraviolet region (See Fig. 4, p. 22).In the present investigation we have proposed a threedimensional freeelectron model in which the valence electrons of the conjugate iodine chain are assumed to move freely in a cylinder whose length is equal to that of the iodinechain and whose diameter is equal to that of the effective internal diameter of the amylose helix. The results obtained were in good agreement with the experimental observations.  1.用多原子π键的形成和σ键的消失来解释复合物中碘链的稳定性、反磁性、原子间等距排列和碘离子参与碘链等事实。 2.用量子力学的圆柱体自由电子模型计算了共轭碘链的能级,不仅得到第一吸收峰,而且还得到第二、三、四吸收峰。 3.研究了紫外和可见区的全部吸收光谱,得到淀粉团——碘复合物在570mμ,344mμ和224mμ的三个吸收峰(前人一般只研究第一、二吸收峰),在200mμ以下还可能有一吸收峰,但限于仪器的波长范围未能观察到。以上实验结果和理论计算颇为接近。  It is pointed out that the settlement due to deviatoric stresses is incorrectly disregarded in conventional methods of calculation. It is shown that the deviatoric tensor of stress can not be neglected, whereas the time dependent response of the soil skeleton to deviatoric stresses should be taken into account. On the base of his theory on the consolidation and flow of claylayers "the author presents an analysis on several two dimensional problems. It is shown that the total settlement may bo considored as... It is pointed out that the settlement due to deviatoric stresses is incorrectly disregarded in conventional methods of calculation. It is shown that the deviatoric tensor of stress can not be neglected, whereas the time dependent response of the soil skeleton to deviatoric stresses should be taken into account. On the base of his theory on the consolidation and flow of claylayers "the author presents an analysis on several two dimensional problems. It is shown that the total settlement may bo considored as consisting of three main compouents, viz. instantaneouss settlement, and settlements due to flow and due to consolidation. Settlement formulas are presented for large values of time. It is concluded that settlements in practice can not be predicted merely from oedometer tests. The consolidation in two dimensional problems turns out to behave quite differently from that of the classical onedimensional case, as the soil can always deform laterally. The deviatoric stresses are responsible for the instantaneous deflection and the continuous flow of the clay mass.  本文指出現行的沉陷計算方法不考虑因均差应力(Deviatorie stresses)而产生的沉陷是不正确的。文中証明了均差应力張量不能忽略,而土壤的結構对均差应力的反应(与时間因素有关)则必須考虑。作者根据他自己的关于粘土層固結与流变的理論,提供几个二維問題的分析,証明了总沉陷可以分为三部分,卽瞬时下沉,因流变而产生的和因固結而产生的沉陷,并且提出了时間为很大数值时的沉陷公式。可以断言,在实际中,沉陷不能單从压縮試验来估計。在二維問題中,土壤的固结与古典的一維固結情形迥然不同,因为土壤总是有横向膨脹的。均差应力就是粘土在荷載下瞬时下沉(Instantaneous deflection)和不断流变的原因。   << 更多相关文摘 



