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mathematical     
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  数学
     Initial Boundary Value Problems to Two Classes of Nonlinear Model Equations in Mathematical Physics
     两类非线性数学物理模型方程的初边值问题
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     A Study about Cognitive Model and Instructional Theory on Mathematical Problem Solving
     数学问题解决认知模式及教学理论研究
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     Theoretical and Experimental Study on Learning from Mathematical Example
     数学样例学习的理论与实证研究
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     Study on Mathematical Modeling and Analysis of Cylindrical Feature Based on Mathematic Definition
     基于数学定义的圆柱要素公差数学建模与分析技术的研究
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     Integral Equation Methods for Inverse Problems and Boundary Value Problems in Mathematical Physics
     数学物理中反问题与边值问题的积分方程方法
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  数学模型
     Research on the Mathematical Model and Key Technologies of the Reflective Intensity Modulated Fiber-Optic Sensor
     反射式强度型光纤传感器强度调制特性的数学模型与关键技术的研究
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     Dynamic Analysis and Mathematical Model of Silicon Micromechanical Vibration Gyroscope
     硅微型陀螺仪的力学分析和数学模型
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     Mathematical Models of Wave Propagation in Coastal Region
     近岸水域波浪传播的数学模型
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     Study on the Unsteady Flow Calculation & Transient Mathematical Model of Vectoring Nozzle
     矢量喷管非定常流场计算与动态数学模型研究
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     Three-Dimension Mathematical Model of Total Phosphor in the Reservoir and Application
     水库水体总磷三维数学模型及其应用
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  数理
     Based on this mathematical characteristic, new evaluation and prediction method for the change of coal thickness was studied and analyzed.
     根据这一数理特征,研究分析出了新的煤层厚度变化程度的评价方法和煤厚变化预测方法。
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     Mathematical and theoretical analysis of abnormal working status of MLZ-1CW type excitation adjustor
     MLZ-1CW型励磁调节器异常工况的数理分析
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     MATHEMATICAL ANALYSIS OF PRODUCTION QUOTA FOR 30 MVA ELECTRIC MANGANESE SILICON ALLOY FURNACE
     30MVA锰硅合金炉生产指标数理分析
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     MATHEMATICAL ANALYSIS OF PRODUCTION TARGETS OF 30MVA MuSi FURNACE
     30MVA锰硅合金炉生产指标数理分析
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     A test technique provided by chinese standard GB6359-86 and a mathematical statistic method to deal with data regressively are adopted, the paris formulae of fatigue crack spread zone in base-metal, welds and heat-affected zone are obtained respectively, and the threshold regression curves △K_(th),(R)are also gained, by which fatigue cracks no longer grow.
     采用GB6359-86规定的方法,运用数理坑计方法回归处理数据,归纳得出了15MnVNq桥梁钢的疲劳裂纹扩展中速区母材、焊缝和热影响区金属的Paris公式表达式,以及疲劳裂纹不扩展门槛值回归曲线△K_(th)(R)。
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  数学的
     The Education of Mathematical Thinking in the 21 Century
     面向21世纪谈数学的思维教育
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     From the mathematical point of view,study the peakons and their bifurcation of the following generalized Camassa Holm equation with a<0,k∈R,m∈N and the integral contant taken as zero.
     从数学的角度研究了广义Camassa -Holm方程在a<0 ,k∈R ,m∈N 和积分常数为 0时的情形 .
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     The Researches of Characteristics in the Mathematical Olympic Problems
     奥林匹克数学的问题特征研究
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     This thesis expounds the essence of mathematics , the function of mathematics education and the reformation of mathematics education (Chapter 1); discusses the basic theory of mathematical modelling, and the significance , effect and teaching strategy of mathematical modelling (Chapter 2, 3);
     本文阐述数学的本质、数学教育的功能和数学教育的改革(第1章),探讨数学建模基本理论以及数学建模的意义、作用和教学策略(第2、3章)。
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     The formula for computing sediment concentration is determined with mathematical method theoretically according to the attenuation law of Y ray and characteristics of mixture of solid and liquid.
     本论文首先根据γ射线穿透物体过程中的衰减规律以及水沙液固两相流的特性,用数学的方法从理论上推求了γ射线透射法计算泥沙含量的理论计算公式。
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      mathematical
    Motivated by the physical concept of special geometry, two mathematical constructions are studied which relate real hypersurfaces to tube domains and complex Lagrangian cones, respectively.
          
    We prove that the moduli space of mathematical instanton bundles on P3 with c2 = 5 is smooth.
          
    The mathematical concept of frames is utilized in the analysis of the properties of the sequence of sampling functions.
          
    Mathematical details and numerical examples are included.
          
    We give general mathematical results concerning oscillating singularities and we study examples of functions composed only of oscillating singularities.
          
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    A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two...

    A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.

    作者曾在英国自然界发表渠所建立之棋式X光综合新法之大意。一时引起欧美同行兴趣及讨论。其中有表兴趣者,有对此新法是否比通用之符礼式综合法更为有用致疑。本文即将新旧二法应用於自然及理想晶体。比较其结果之优劣。此外并对新法之三种数学特性加以介绍。

    The analysis of stepped beams on spring foundation is a problem of practical importance. It is shown in the paper that this problem is similar to that of a continuous curved beam on rigid supports and can be most easily solved by method of special slope deflection equations. The formulas for computing load and shape constants being necessarily long, a number of tables of useful functions have been prepared to aid in a quick analysis and a typical example is given. The theory and functions presented in the paper...

    The analysis of stepped beams on spring foundation is a problem of practical importance. It is shown in the paper that this problem is similar to that of a continuous curved beam on rigid supports and can be most easily solved by method of special slope deflection equations. The formulas for computing load and shape constants being necessarily long, a number of tables of useful functions have been prepared to aid in a quick analysis and a typical example is given. The theory and functions presented in the paper are also applicable in analyzing other problems with same mathematical nature, such as the problem of axisymmetrical bending of cylinders with nonuniform wall thickness.

    本文討論彈性地基上的阶形梁的計算問題。应用結構力学上“桿件常数”的观念,这个問题可以簡捷地获得解决。文中除举例說明計算步驟外,並供給必要的函数表,使这些常数能够迅速求出。这些函数同样可以用来解决数学上类似的問題,例如变截面圓筒的軸对称受弯问題。

    A more general mathematical analysis of the kinetics of polycondensation-depolycondensation reactions is given in the article. Three different types of reactions are considered, namely, (1) reactions between molecules AB and AB, (2) reactions between molecules AA and BB, (3) reactions between molecules AA and BC. One of the condensation products is assumed (without loss of generality) to be water.For reactions of the first type, [p_n], the number of molecules of the n-mer (AB)_n, obeys the following Flory...

    A more general mathematical analysis of the kinetics of polycondensation-depolycondensation reactions is given in the article. Three different types of reactions are considered, namely, (1) reactions between molecules AB and AB, (2) reactions between molecules AA and BB, (3) reactions between molecules AA and BC. One of the condensation products is assumed (without loss of generality) to be water.For reactions of the first type, [p_n], the number of molecules of the n-mer (AB)_n, obeys the following Flory distribution: [p_n]=N_0p~(n-1)(1-p)~2 where N_0 denotes the total number of AB segments (including the unreacted monomers). and p, as defined by is a measure of the degree of condensation. It is shown that p is the solution of the following differential equation: dp/dt=k/2N_0(1-p)~2-k_(-1)p[H_2O] where K and k_(-1) are velocity constants of condensation and hydrolysis respectively, and [H_2O] denotes the number of water molecules. Three special cases are discussed.For reactions of the second type, three different types of condensation products are possible besides water; they obey the following distributions: [p_(2n)]=2N′_0r~(n-1)p~(2n-1)(1-p)(1-rp) [p′_(2n-1)]=N′_0r~(n-1)p~(2n-2)(1-p)~2 [p″_(2n-1)]=N′_0r~(n-2)p~(2n-2)(1-rp)~2 where N′_0 and N″_0 denote the total number of segments AA and BB respectively, r denotes the ratio N′_0/N″_0, and p, as defined by is the solution of the following differential equation: dp/dt=kn′_0/r(1-p)(1-rp)-k_(-1)P[H_2O]For reactions of the third type, six different types of condensation products are possible besides water; they obey the following distributions: [P′_(2n)]=NP~(n-1)q~n(1-p/2-q/2)(1-p) [p″_(2n)]=Np~nq~(n-1)(1-p/2-q/2_(?))(1-q) [p_(2n-1)=Np~(n-1)q~(n-1)(1-p/2-q/2)~2 [p′_(2n-1)]=N/4p~(n-2)q~n(1-p)~2 [p″_(2n-1)]=N/4p~nq~(n-2)(1-p)~2 [p′″_(2n-n)]=∈(n)N/4p~(n-1)q~(n-1)(1-p)(1-q),where N denotes either the total number of segments AA or that of BC, while p and q, as defined by satisfy the following set of differential equations: dp/dt=k′N/2(1-p)(2-p-q)-k′_(-1)p[H_O] dq/dt=k″N/2(1-q)(2-p-q)-k″_(-1)q[H_2O]

    本文討論AB型,AA和BB型以及AA和BC型分子间的缩聚-裂解反應,由動力学方程出發,得到这三种类型反應过程中高聚分子的分佈情况,并求得几种不同反應條件下的缩聚度p和q是何种時间的函数,利用它们和实验数值比較,可以求得縮聚反應速度常数K和水解反應速度常数k_(-1),并在AA和BC型分子间的反應中,可以求得K'和K″的此值,藉以比较官能團B和C的活潑度。还討論了三种平均分子量的表示式、数值以及它们相互的比值,後者僅在没有水解作用的情况下,才和Flory的结果相同。

     
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