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线性     
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  linear
    Weighted Simultaneous Approximation by the Linear Combinations of Gamma Operators
    Gamma算子线性组合的加权同时逼近
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    Estimation Problems of Functional-Coefficient and Partial Linear Models
    函数系数和部分线性模型中的估计问题
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    Multivariate Splines, Piecewise Algebraic Curves and Linear Diophantine Equations
    多元样条、分片代数曲线及线性丢番图方程组
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    Study on Quaternary Linear Codes and Their Generalization
    四元线性码的研究及其推广
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    Bayesian Linear Inference Theory and Classification Identification Method for Multiple Populations in the Modern Economics and Management
    现代经济管理中的线性贝叶斯推断理论与多总体贝叶斯分类识别方法研究
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  linearity
    ON LINEARITY AND NONLINEARITY OF THE GASES AND SOLUTIONS
    气体和溶液的线性与非线性
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    Calculation and Analysis for Linearity and Nonlinearity of Two-Hanging Point Horizontal Boom of Tower Crane
    塔式起重机双吊点水平动臂的线性和非线性计算及其比较分析
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    Linearity of Removal in the Proeess of Optical Element Polishing
    光学零件抛光的线性去除
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    The result of the model demonstrated the change from linearity to nonlinearity of education that influences the human capital,and medium-sized technical education had a high return rate.
    模型结果支持了正规教育对人力资本的影响由线性向非线性的变化,并且在平均收益率方面中等教育有着潜在优势;
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    ON THE LINEARITY ASSUMPTION OF THE INPUT-OUTPUT ANALYSIS
    投入产出的线性假设分析
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  liner
    A Polynomial-Time Algorithm for Liner Fractional Programming
    线性分式规划的多项式算法
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    ABOUT THE DISTRIBUTION OF CHARACTERISTIC ROOT OF LINER MIXE-TYPE DIFFERENTIAL EQUATION OF ORDER N
    关于N阶混合型线性微分方程特征根的分布
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    Asymptotic Behavior of Solution about a Class of Liner RDDE With Time-varying Coefficients
    一类变系数线性RDDE解的渐近性态
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    FINITE DIMESION QUA SI—NORMED LINER SPACE
    有限维赋拟范线性空间
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    On the Liner Relation of System of Fuzzy Vextors and the Property of Fuzzy Subspace
    关于模糊向量组的线性关系及模糊子空间的性质
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  linear polynomial
    Nonlinear State Feedback of Linear Polynomial System
    线性多项式系统的非线性状态反馈
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    In addition to the indication of existence and uniqueness of the solution of this equation using lax milgram theorem, the Kirchhoff integral transformation in the nonlinear coefficient based on a set of discrete data is given by a piece wise linear polynomial.
    除了利用 lax- milgram定理证明变分方程解的唯一性外 ,还利用分段线性插值方法得到非线性系数以离散方式给出的积分变换表达式
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    Normal Families of Holomorphic Functions Shared Linear Polynomial
    分担线性多项式的全纯函数的正规族
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    The normal displacement function w and circum-ferential displacement function v are given by two cubic polynomials,thelongitudinal displacement function u is given by linear polynomial.
    法向位移函数w 和周向位移函数v 采用三次多项式,纵向位移函数u 为线性多项式。
短句来源
    In this paper, the design problem of new nonlinear state feedback for linear polynomial system is discussed.
    本文就线性多项式型系统的综合问题给出一种新的非线性状态反馈设计方法.
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      linear
    Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists
          
    Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric.
          
    A linear model for a given action is a linear orthogonal action with the same orbit types and equivalent slice representations.
          
    We prove that if a reductive group action on an affine quadric with a 1-dimensional quotient has a linear model, then the action is linearizable.
          
    We find presentations for the irreducible crystallographic complex reflection groupsW whose linear part is not the complexification of a real reflection group.
          
    更多          
      linearity
    Studies in rats revealed dose dependency/ non-linearity in arteether pharmacokinetics with in the dose levels used.
          
    The linearity of calibration curve provided by SEKI was similar to that offered by non-bias hydrodynamic injection (HDI) but significantly better than that obtained by EKI.
          
    The characteristics of good linearity, high resolution, and high-frequency response were approved.
          
    For the correlation between effects and doses, the former presented a particular saddle-like pattern, while the latter showed a pattern of linearity.
          
    The linearity of the Stokes equations makes it possible to develop effective methods of solution of the problem for two and many particles [1].
          
    更多          
      liner
    Appropriate liner velocity of the wheel is 18-22 m/s and the depth of grinding should not exceed 0.02 mm in grinding GH2132 alloy with ceramic alumina wheels to assure the surface quality.
          
    Determining the Current-Compensation Factor for a High-Current Relativistic Electron Beam in the Presence of an External Liner
          
    It was ascertained that fm of the high-current REB slightly varied with the gas pressure and was virtually independent of the resistance of the external liner.
          
    The liner-plasma shapes are visualized by detecting the intrinsic liner radiation in various wavelength ranges and actively probing liners in the visible and X-ray regions.
          
    The probing of both the liner peripheral and near-axial regions is considered.
          
    更多          
      linear polynomial
    In this paper a representation for linear polynomial projection is given.
          
    Depending on the formulation of the problem, its solution takes the form either of a system of bilinear polynomial equations, or system of linear polynomial equations, or finite formulas.
          
    Exact estimates of approximation of periodic functions by linear polynomial methods of convolution type
          
    Several remarks on the norms of linear polynomial operators
          
    Approximation error for linear polynomial interpolation onn-simplices
          
    更多          


    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。

    ~~

    本文对于准线性微分方程(?)+k~2x+f(t)=μF(t,x,(?),μ)当其中f(t)及F 均为周期为2π的周期性函数,应用庞加莱的小参数法求第n 级共振而解此方程时,不将出发解写成一般形式,而写成:x_o=(?)(t)+A_o cos(nt+α)应用周期性函数对时间在一周期内的积分与时间轴零点选择无关这一性质,改变庞加莱法中用以求出发振幅的公式成为如下形式:P_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]sin nτdτ=0Q_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]cos nτdτ=0对于干扰力f(t)仅包括一项正余弦函数(此时(?)(t)=0),函数F 中与t 有关的项只包括数项正余弦函数时,用上述公式求出发振幅(解的第一级近似)将很方便。本文还推证了存在唯一的周期解的条件为:(?)P_2/(?)A_o -(?)Q_2/...

    本文对于准线性微分方程(?)+k~2x+f(t)=μF(t,x,(?),μ)当其中f(t)及F 均为周期为2π的周期性函数,应用庞加莱的小参数法求第n 级共振而解此方程时,不将出发解写成一般形式,而写成:x_o=(?)(t)+A_o cos(nt+α)应用周期性函数对时间在一周期内的积分与时间轴零点选择无关这一性质,改变庞加莱法中用以求出发振幅的公式成为如下形式:P_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]sin nτdτ=0Q_2(A_o,α)=integral from n=o to 2πF[τ-α/n,A_o cos nτ+(?)(τ-α/n),-n A_o sin nτ+(?)(τ-α/n),0]cos nτdτ=0对于干扰力f(t)仅包括一项正余弦函数(此时(?)(t)=0),函数F 中与t 有关的项只包括数项正余弦函数时,用上述公式求出发振幅(解的第一级近似)将很方便。本文还推证了存在唯一的周期解的条件为:(?)P_2/(?)A_o -(?)Q_2/(?)A_o(?)Q_2/(?)A_o (?)P_2/(?)A_o ≠0又推证了解稳定的条件为:(?)P_2/((?)A_o)+1/A_o (?)Q_2/(?)α>0(?)P_2/(?)A_o 1/A_o (?)P_2/(?)α(?)Q_2/(?)A_o 1/A_o (?)Q_2/(?)α>0最后并举了再生收音机回路的电势方程的例子加以说明。

    ~~

    本文讨论具有折线型弹性力特性、线性阻尼特性、并受正余弦干扰力作用的非线性系统的受迫振动:(?)+f(x,(?))-h cos(pt+(?))=0给予系统以谐振动的近似假定,从作用力的能量及相位面上面积的关系,推导出两个基本公式:∮{p~2x-f(x,(?))+h cos(pt+(?))}dx=0∮{p~2x-f(x,(?))+h cos(pt+(?))}d(?)=0在应用这些基本公式时,必须首先知道系统的振动规律。文中不将各项展开成传里叶级数,而以某一较接近于真实运动规律的函数作为初步近似,并假定系统的受迫振动规律,可以近似地用保守系统自由振动的规律来代替。这样便可把积分过程转化为在相位面上求面积的过程。引进面积系数s,s_1,s_2,s_3,从而推得速度最大值及振幅。所引的面积系数可以用公式或曲线来表示,(实际计算时只需查曲线即可),并根据这些曲线,作出了无阻尼时及有阻尼时的共振曲线。

     
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