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is equal to
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  等于
     Furthermore, attractor A_(1) in H~(1) is equal to attractor A_(m) in H~(m)(2σ + 1 ≥ m ≥ 2).
     进而证明H~1中的吸引子A_1等于H~m(2σ+1≥m≥2)中的吸引子A_m。
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     the figure of merit is equal to 8.3, the space group may be C_(2h)~1-P2/m,
     等于1.5282,D_(cal)等于1.5250,空间群为C_(2h)~1-P(2/m)或C_2~1-P2或C_8~1-Pm
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     2. The number of 12312-avoiding matchings on [2n] is equal to 3-Catalan number C_(n,3).
     2.在[2n]上避免12312模式的匹配数等于3-Catalan数C_(n,3)。
短句来源
     For the reflection coefficient with the form as ρ(ω)exp[iψ(ω)], it is proved that around the central frequency ω 0 of the mirror, ρ(ω) is equal to ρ(ω 0) and ψ(ω) is proportional to the frequency ω.
     证明在反射镜中心频率ω0附近 ,形为 ρ(ω)exp[iψ(ω) ]的反射系数中的 ρ(ω)等于 ρ(ω0 ) ,ψ(ω)与频率成正比。
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     With the aid of the present method, the K(IC) and K_(Ia) of A3 steel have been determined at-196℃, and the ratio of K_(Ia)/K_(IC) is equal to 0.69.
     用A3钢制成的这种实用燕尾试样在-196℃温度时测定K_(Ic)和K_(Ia),其比值等于0.69。
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  “is equal to”译为未确定词的双语例句
     The seismicity with magnitude that is equal to or greater than 3.0 before an earthquake(Ms≥5.0)since 1988 occurred in Sichuan and Yunnan provinces is analyzed in this paper.
     本文对川滇地区1988年以来30次Ms≥5.0级地震前ML≥3.0级地震活动进行了分析。
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     Result: The data of group 2 were significantly higher than those of the other 2 groups,and there were no significant differences between group 1 and 3.Conclusions: CD15S expression of group 3 is equal to that of group 1.Monitoring of CD15S antigen expression on peripheral lymphocytes after renal transplantation may contribute to the diagnosis of acute rejection and may predict the effect of an anti-rejection therapy.
     结果:组2表达显著高于组1和组3(P<0.01),组1和组3间差异无统计学意义(P>0.05)。 结论:抗排斥治疗逆转后,CD15S表达降低至术后稳定组患者水平,监测该抗原可诊断急性排斥反应,并可提示抗排斥治疗的效果。
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     In the range from 0 to 25 mg/L of HPAM mass concentration,a standard working curve of HPAM mass concentration vs.solution absorbency was constructed with R2 is equal to 0.999 8.
     利用改进后的方法建立的HPAM质量浓度-溶液吸光度(Abs)标准曲线,HPAM质量浓度在0-25 mg/L,标准曲线呈极好的线性关系,测定值的相关系数R2为0.999 8。
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     Results Male/female ratio is equal to 3.01:1.The age is from 24 to 83.41 to 70 is frequent.
     结果本组患者男:女为3.01∶1; 发病年龄24-83岁,41-70岁为高发年龄段;
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     The power exponent is equal to 1.58 if fault lengths are longer than 2.5 km.
     而当断层长度r≥2.5km时,幂指数D=1.58。
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  相似匹配句对
     that of P is nearly equal;
     P地上几乎相等;
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     equal argument;
     平等的争论;
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     The errors of i are equal.
     误差对每个yi都是相等的。
短句来源
     Harmony is equal to beauty.
     和谐就是美。
短句来源
     Is equal opportunities education!
     是机会均等的教育!
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  is equal to
Under the condition of irreducibility, it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.
      
We also pseudopolynomially solve a class of QAP whose GLB is equal to the optimal objective function value, which was shown to remain NP-hard.
      
If the helix angle is equal to or slightly smaller than the bigger angle, which makes two meshing boundary lines superpose, a preferable meshing performance is obtained.
      
For Al and Si atoms arranging along the c axis in an AF-like long-range ordering (-Al-Si-Al-), the calculated electron-phonon coupling constant is equal to 0.8 and the logarithmically averaged frequency is 146.8 K.
      
By the probability of retaining the maximal ow is meant the probability that the maximal ow in such a network is equal to the maximal ow in the corresponding nonprobabilistic network.
      
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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.

割水晶成一圆柱,圆柱之轴即为晶体之光轴,在圆柱之中心穿一孔道,使成一空心圆柱壳,以金属箔敷於圆柱壳内外侧面成两电极。当圆柱之一端固定,一端被扭,则两电极发生异号而等量之电荷,扭转之方向既易,内外两极电荷之号亦互易。若扭力偶矩左旋,则左旋水晶柱之外极得正电;若扭力偶矩右旋则右旋水晶柱之外极得正电。 吾人曾由实验测定水晶圆柱之长短l,内外直径d_i及d_0之大小,与由扭偶矩C所生电量q之关系式如次: q=k(l/(d_0(d_0-d_i)))C式中K为一常数,在C.G.S.绝对静电单位制中等於9.2×10~(-8)。

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.

1.用二胺聯苯及其數種衍生物沉澱鎢酸根時,其適宜的pH範圍如下:[4,4′]二胺聯苯 pH:2.0-5.5[3,3′]二甲基[4,4′]二胺聯苯 2.9-4.7[3,3′]二甲氧基[4,4′]二胺聯苯 2.0-4.1[4]對胺聯苯氮甲烯[2]甲苯酚 1.7-3.9[3,4,3′,4′]四胺聯苯 1.7-4.8 2.用[4,4′]二胺聯苯作沉澱劑時,二胺聯苯和鎢酸根在沉澱前的濃度之乘積與後者沉澱完全與否的關係,曾加研究。 3.用[3,3′]二甲基[4,4′]二胺聯苯作沉澱劑時,能测定低至10毫克的三氧化鎢。

Although James and Coolidge (1933) solved the molecular hydrogen problem in almost complete agreement with experiment by using a 13-term 2-electron eigenfunction, his method can hardly be applied to more complex molecules. For this and other reasons (Coulson, 1938), it is still desirable to obtain a good one-electron eigenfunction, i.e., molecular orbital, for the hydrogen molecule. The best molecular orbital treatment available in the literature was given by Coulson (1938), who used a trial eigenfunction in...

Although James and Coolidge (1933) solved the molecular hydrogen problem in almost complete agreement with experiment by using a 13-term 2-electron eigenfunction, his method can hardly be applied to more complex molecules. For this and other reasons (Coulson, 1938), it is still desirable to obtain a good one-electron eigenfunction, i.e., molecular orbital, for the hydrogen molecule. The best molecular orbital treatment available in the literature was given by Coulson (1938), who used a trial eigenfunction in elliptical coordinates involving 5 parameters and obtained 3.603 eV for the binding energy of H_2, which is to be compared with the ex- perimental value of 4.72 eV. In the present investigation we have proposed a new type of trial eigenfunction for the molecular orbital: (1) with p = centers a, b, g, c, d,…… i = electron 1 or 2 (2) where the p's are centers along the bond axis a-b (Fig. 1). In this simple problem both the Fock and Hartree methods yield the same result. The molecular orbital ψ must satisfy the following integral equation: (3) where ε is the energy of the molecular orbital, F is the Fock operator which is equal to H+G(1), while H is the one-electron Hamiltonian operator: H = -1/2▽~2-1/r_a-1/r_b (4) and G(1) is the interaction potential (5) Substituting (1) into (3), we obtain the linear combination coefficients c_p, which must satisfy the following secular equation: (6) where is the solution of the secular determinant and The F_(pq)'s are not at first known, but depend upon the c_p's. A method of successive approximation must therefore be adopted. A set of c_p values may be assumed, the F_(pq)'s calculated, the secular determinant (7) solved, and a new set of c_p values found. This process is repeated until a "self-consistent" set of c_p values is obtained. The above procedure was first proposed by Roothaan (1951), not for H_2 but for more complex molecules. It was called by him the "LCAO SCF (linear combination of atomic orbitals self-consistent field) method". The new feature of the present investigation is that we not only use LCAO but also LCNAO (linear combination of non-atomic orbitals, such as x_g, x_c, x_d, …). The order of secular determinant (7) may be reduced to half if we replace the eigen- functions x_a, x_b .... by their symmetrical and anti-symmetrical linear combinations x_a + x_b and x_a-x_b. Numerical calculations have been carried out both for the three- and the two-centered molecular orbitals. The three-centered molecular orbital is (10) (11) where S_(ab) and S(ag) are the overlapping integrals between x_a and x_b, and between x_a and x_g respectively. The parameters a and g have 'been obtained to give minimum energy by the method described above. They are a=l.190, g=0.22, and the binding energy is 3.598 eV, which is almost as good as that obtained by Coulson (3.603 eV) using a trial function of 5 parameters. The two-centered molecular orbital is (12) (13) which gives a maximum binding energy of 3.630 eV for a=1.190 and R~(ac)=R(bd)=0.105 (Fig. 1). This result is 'better than Coulson's. If we allow different values for the ex-ponent α in x_a and x_g in equation (11), or if we use a four-centered molecular orbital, such as ψ=a(x_a + x_b) + b(x_c + x_d) with four parameters, namely α_a=α_b, α_c=α_d, R_(ac)=R_(bd) and the ratio b/a, it is possible to obtain a still better result. Extension of the present method to the treatment of more complex molecules is now under investigation.

(1)討論了用自洽勢場多中心分子軌道法來處理H_2分子的一般方法。 (2)用僅含兩個參變數三中心分子軌道進行了具體計算,求得H_2分子的結合能為3.598eV,接近於Coulson用五個參變數的雙中心分子軌道所得的結果(3.603eV)。 (3)用不在原子核上的兩中心的分子軌道求得H_2分子的結合能為3.630 eV,此上述結果為好。並指出如用不同的α值和四個或四個以上中心的分子軌道,很有可能得到更好的結果。以上處理方法有可能推廣到比H_2更為複雜的分子。

 
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