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combination of     
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  结合
     Theoretical and Practical Research on the Combination of the Physics History with the Physics Teaching
     物理学史与物理教学结合的理论与实践研究
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     Research on the Buried Pipe SIM System Based on the Combination of Acoustic Signal Detection and Deterioration Model
     声信号检测与腐蚀模型法相结合的埋地水管SIM系统研究
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     Bettering the Combination of Science,Technology and Economy,and the Development of Society from the Selection of Topics.
     从选题上搞好科技与经济、社会发展的结合
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     Several Problems in connection with the Combination of Scientific Research and Economic Development.
     科技工作同经济发展相结合的几个问题
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     Combination of Mg~(2+) and Reconstruction of L-(H~+-ATP enzyme)
     Mg~(2+)的结合与H~+──ATP酶在脂质体上的重建
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  组合
     A Comparative Study on Influence on Plant Communities and Mutual Species and Response to Different Temperature Gradient and Combination of Water and Heat in Inner Mongolia Steppe Region of Temperate Zone
     不同温度梯度及其水热组合对温带草原群落与共有种的影响及其响应的比较研究
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     A Study on the Combination of Degree Adverb in Mandarin Chinese
     现代汉语程度副词组合研究
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     Selection and Combination of Black Liquor Evaporator
     黑液蒸发器的选型与组合
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     NEW SPECIES AND NEW COMBINATION OF THE GENUS BREMIELLA ON COMPOSITAE OF CHINA
     中国菊科植物上拟盘梗霉属的新种和新组合
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     COMBINATION OF B-SPLINES AND CURVE FITTING
     一类B样条的组合与曲线拟合
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  联合
     Induction of Tolerance in MHC Disparate Allo-geneic Mice Bone Marrow Transplantation by Combination of Tju103 and CTLA4-Ig
     Tju103和CTLA4Ig联合诱导MHC非匹配同种异基因小鼠骨髓移植免疫耐受
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     Treatment of Experimental Hepatic Fibrosis by Combination of Urokinase-type Plasminogen Activator and Hepatocyte Growth Factor Gene Delivery
     尿激酶型纤溶酶原激活剂和肝细胞生长因子联合基因治疗实验性肝纤维化
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     Combination of Genistein with Irradiation on Prostate DU145 Cancer Cells
     Genistein与辐射联合应用于DU145前列腺癌细胞的实验研究
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     Experimental Study of Combination of Adenovirus-Mediated IL-12 Gene with Ionization Radiation Therapy in the Murine Lewis Lung Carcinoma
     电离辐射与腺病毒介导的白细胞介素-12基因联合治疗Lewis肺癌的实验研究
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     Research on Combination of SERCA2a and MSCs Transplantation Therapy for Heart Failure after Acute Myocardium Infarct
     联合钙离子ATP酶2a和骨髓干细胞移植治疗心力衰竭的研究
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  相结合
     Several Problems in connection with the Combination of Scientific Research and Economic Development.
     科技工作同经济发展相结合的几个问题
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     Stress Analysis by Combination of Photoelastic and Boundary Element Method
     边界元法与光弹性实验相结合的应力分析法
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     CONSTRUCTION OF MOLTEN SALT PHASE DIAGRAMS BY COMBINATION OF CALCULATION WITH MEASUREMENT
     理论计算和实验测定相结合构筑熔盐相图
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     The combination of GPS and analyticalaerophotogrammetry(AAP)--A Possi-ble treud in the development of geodesy
     全球定位系统(GPS)与航空解析摄影测量(AAP)相结合——大地测量发展的一种可能趋势
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     A COMBINATION OF DIGGER AND ISIS NMR LOCALIZATION TECHNIQUES
     DIGGER和ISIS相结合的NMR空间定位法
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  combination of
The method we use is a combination of the smoothing effect of the operator ?t + ?x(2j+1) and a gauge transformation performed on a linear system, which allows us to consider initial data with arbitrary size.
      
We next show that this result is best possible by including a result of Kalton: A frame can be represented as a linear combination of two orthonormal bases if and only if it is a Riesz basis.
      
A frame in a Hilbert space allows every element in to be written as a linear combination of the frame elements, with coefficients called frame coefficients.
      
A Weyl-Heisenberg frame (WH frame) for L2(?) allows every square integrable function on the line to be decomposed into the infinite sum of linear combination of translated and modulated versions of a fixed function.
      
The alkylisothiocyanates required in this synthetic sequence are prepared using a best combination of reported methods.
      
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The origin of the system of bands around 2482 A.U. observed in a mercury lamp has been given evidence as due to mercury molecular ion. Quantitative determination of the intensity variations as a function of pressure and current of the 2482 bands and other band of neutral molecules, shows marked difference between 2482 bands and other bands. All the differences can only be explained on the basis of an ionic origin of the 2482 bands. The excited state of the molecular ion that emits 2482 bands is given evidence...

The origin of the system of bands around 2482 A.U. observed in a mercury lamp has been given evidence as due to mercury molecular ion. Quantitative determination of the intensity variations as a function of pressure and current of the 2482 bands and other band of neutral molecules, shows marked difference between 2482 bands and other bands. All the differences can only be explained on the basis of an ionic origin of the 2482 bands. The excited state of the molecular ion that emits 2482 bands is given evidence as that state resulted from a combination of a normal atomic ion and a neutral atom at the 3P1 excited state.

水银分子在2482A.U.左右有组光带,是水银分子伊洪的还是水银分子的这问题,我们用光谱强度的测量法解决了。将供作光源的通电管内的电流或水银气压依次的改变,我们发现2482A.U.光带的强度的改变和旁的已知的分子光带绝然不同。那些不同之点,只要引用“分子伊洪是2482光带的原主”这说法,就都明白了我们更进一步问放出2482光带的是那个高能力阶位理论和实验的结果指示出一个在最低能力阶位的原子伊洪(Hg~+)和一个在3P_1能力阶位的原子所结合成的分子伊洪是能放2482光带的高能力阶位。

A simple calculation has been carried out for the absqrption coefficient of H-. The matrix component of transition is calculated from the combination of a free-electron wave function obtained by averaging the Hylleraas wave function for H- over the coordinates of one electron. The absorption coefficient covering a wide range of optical spectrum is in the order of 10-17 cm2.

本文根据波动力学计算H~-之吸收系数若H~-吸收较短於λ=17254A光线时,吾人应得一极宽连续光谱。依本文极简单计算,其系数大都在10~(-17)cm~2附近。

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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