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  “ab是”译为未确定词的双语例句
     Let a, b be positive integers such that a>b, gcd (a, b) - 1 and 2|ab, then it can be proved that if 2||ab, the equation (a2 - b2)x + (2ab)y = (a2 + b2)z has only the positive integer solution (x, y, z) = (2, 2, 2) with x=y=z=0(mod2).
     设a,b是适合a>b,gcd(a,b)=1,2|ab的正整数,证明了当2||ab时,方程(a2-b2)x+ (2ab)y=(a2+b2)z仅有正整数解(x,y,z)=(2,2,2)可使x,y,z均为偶数。
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     Let a,b be non-zero integers with α~2>b, (α, b)=1, and let {L_n}_(n-1)~∞ be an integer sequence defined by L_0=1, L_1=α, L_(n+1)=2αL_n-bL_(n-1) (n>0).
     设a,b是适合a~2>b,(a,b)=1的非零整数; 数列{L_n}_(n-1)~∞满足L_o=1,L=a,L_(n+1)=2aL_n-bL_(n-1)(n>0).
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     Theorem 3 Let G = AB, A and B are δy subgroups of G, |G : A|=p, |G : B|=q, p is a minmal prime factor of |G| , q is a maxmal prime factor of |G|. If G is section W-free, then G is a y-group.
     定理3 设G=AB,A,B是δy群,|G:A|=p,|G:B|=q,其中p为|G|的最小素因子,q为|G|的最大素因子,如果G不含截断W,则G为y-群。
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     Finally, if A and B are two arbitrary sets in K, then the λ-fuzzy measure of A-B is given by the following formula g_λ(A-B)=[g_λ(A)-g_λ(AB)]/1+λg_λ~-(AB)
     对λ-Fuzzy测度g_λ,所得结果为g_λ(A-B)=g_λ(A)-g_λ(AB)/1+λg_λ(AB)其中A,B是б—代数κ中的任意两个集合,推广了原有的要求B(?) A的相应结果。
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     Theorem:Let f be a non constant meromorphic function, n(≥2) be a positive integer, a,b be two distinct finite complex values such that a n≠b n,a≠0,b≠0;
     设 f是一非常数亚纯函数 ,n(≥2 )是一个正整数 ,a,b是两个有穷复数且 an≠ bn,a≠ 0 ,b≠ 0 ;
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     a B.P.
     aB.P.
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     aB.P.
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  abare
In case of two-dimensional projection operatorsγabandγ*abare Truesdell transported along timelike vector fielduaif and only if they are expansion free (alongua) with
      
Again, ABARE's annual outreach conference has provided a model that the other five economics based think tanks now imitate.
      
ABARE is an Australian government economic research agency noted for its professionally independent research and analysis.
      
ABARE statistics indicate that the value of exports of minerals rose by 4% in 2001-02 to $41.2 billion.
      
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In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function of the...

In the statistical theory of superlattices in binary alloys, the dependence of the interaction energy upon atomic arrangements is taken into account by regarding the interaction energy in Bethe's theory as an average quantity depending on the degree of order and the composition of the alloy. Two simple assumptions concerning the functional relationship of the interaction energy with order and composition are made. The first is a linear function of order and composition. The second is a linear function of the average numbers of pairs of atoms. The result of applying these assumptions to superlattices of the type AB is that the critical temperature as a function of the composition is a maximum for equal sumber of A and B atoms only when a certain relation between the coefficients in the assumed function is satisfied. In the cass of superlattices of type AB3 the theory of Bragg and Williams is used for simplicity. It is shown that when the composition varies, the maximum of the critical temperature may occur at any desired composition by a suitables adjustment of the coefficients in the assumed functions. There is thus a hope of removing the discrepancy between theory and experiment on this line. The anomalous specific heat at the critical temperature is also calculated for different compositions. In the case of the AB type of superlattices, Bethe's formula for the energy is no longer valid, and in order to calculate the specific heat, an approximate formula for the energy is obtained by analogy with the theory of Bragg and Williams. Finally, the problem of separation into more than one phase is briefly discussed.

在二元合金超格之统计力学理论中,原子间互作用能量,因原子之排列不同而异,其所生之影响,吾人擬於此篇中讨论之。吾人认为有Bethe氏理论中之相互作用能量,实为一平均值,其值因合金之秩序程度及其成分而异。吾人作二简单假设:一设相互作用能量为秩序及成分之线性函数,另一设其与原子对偶之数成线性函数。将此等假设应用於AB类之合金,则必须在所设函数中之系数间,有适当关系,合金之临界温度,始在成分为1:1时,有极大值。在AB_3类之合金,吾人乃应用Bragg及Williams二氏之理论以求简便。於此可证明若所设函数中之系数,可任意调整则所计算出之临界温度之极大值可在任何成分发生。故关於此点理论与实验不合之处,可望解决。又合金之反常比热,亦经算出。在AB类之合金,Bethe氏原来之能量公式不復可用,故另用与Bragg及Williams理论比较而得之公式计算。又关於合金可分为二相或多相之问题,此篇亦大略论及。

Wang's generalization of Bethe's theory of snperlattices is applied to the cases of quadratic and simple cubic lattice. Only neighbour interaction is taken into consideration. All the calculations are carried out to the second approximation.

本文应用王氏之理论於平面方格及立方格中AB型超格。所有计算皆作到第二次近似值,惟仅考虑到邻近原子间之相互作用。所计算者有临界温度与合金成分之关系,秩序之程度,内能,及比热。凡Bethe氏曾经计算过者与本文计算结果相较,均相差无几。

On the assumption that the bond length and bond polarity contribute to ,bond energy (bond A-B) independently, an empirical relationship among them has been found as follows: D = ab / r~1.66 + 23.06-(x_A-x_B)~2 or 1/2(D_(A-A) + D_(B-B) = ab/r~1.66_(AB) where constant a (or b)=8.03 for N, O, F, H; a (or b)=13.40 for other elements; a (or b)= 4.63-1-4.7r4 for H in hydrides (r_A is the covalent radius of the atom with which H is com-bined); D and r (i.e. r_(AB)) represent the bond energy and bond length respectively;...

On the assumption that the bond length and bond polarity contribute to ,bond energy (bond A-B) independently, an empirical relationship among them has been found as follows: D = ab / r~1.66 + 23.06-(x_A-x_B)~2 or 1/2(D_(A-A) + D_(B-B) = ab/r~1.66_(AB) where constant a (or b)=8.03 for N, O, F, H; a (or b)=13.40 for other elements; a (or b)= 4.63-1-4.7r4 for H in hydrides (r_A is the covalent radius of the atom with which H is com-bined); D and r (i.e. r_(AB)) represent the bond energy and bond length respectively; x_A and x_B are the electronegativities of the two bond-forming elements, A and B. The validity of the relationship has been tested for the bond energy of 83 kinds of single bonds. In the majority of cases, the calculated values deviate from the experimental data within ± (1-2) kcal.

作者認為單價鍵的鍵能主要決定於鍵長及鍵的極性,並假定此二因素對鍵能各有獨立的影響,從而獲得如下的經驗關係式: D=ab/r~(1.66)+23.06(x_A-x_B)~2或 1/2(D_(A-A)+D_(B-B))=ab/r_(AB)~1.66其中x_A,x_B為成鍵二原子的元素電負性;a舆b為常數,其數值如下: a(或b)=8.03 (N,O,F,H的常數) a(或b)=13.40 (其他元素的常數) a(或b)=4.63+4.7r_A (氫化物中H的常數,r_A為化合原子的共價半徑) 利用此三常數,曾計算83種單價鍵的鍵能。與實驗值比較,極大多數鍵的平均差異均在實驗誤差±(1-2)千卡以內。

 
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