研究第一次发现情绪和青春痘之间的线性关系：心理疾病症状越严重，青春痘发作越严重。
The study found, for the first time, a linear relationship between mood and pimples: the worse the mental-illness symptoms, the worse the acne.
再一次看到，都不是线性的。
如果技术员不能准确进行一次简单的胸透检查，怎么能指望他们安全地操作CT扫描仪或线性加速器呢？
If technologists could not properly take a simple chest X-ray, how can they be expected to safely operate ct scanners or linear accelerators?
我记得特别清楚：那时我第一次坐到键盘前—在一个有无数张纸出来的“线性印刷”终端—-玩一个“星球旅行”（星际旅行是一个美国科幻小说系列以及相关的娱乐产品如电视剧，电脑游戏等等，距今已有四十年的历史）的游戏。
I remember perfectly the first time I sat at a keyboard – at a “line printing” terminal, which had an endless sheet of paper spooling through it – to play a game of “Star Trek”.
介电常量的二次及三次方根与密度成线性关系。
The square root and the cubic root of the dielectric constants are linearly related to the volume ratios.
当花了好几个年头，第一次测出人类基因组的百分之一时，他们操心自己永远完不成测序，但他们的工作进展很快就呈现出指数曲线性。
When it took years to sequence the first 1 percent of the human genome, they worried they'd never finish, but they were right on schedule for an exponential curve.
线性编辑的过程是很象堆积砖一个在其他顶部，一次一个。
The process of linear editing is much like stacking bricks one on top of the other, one at a time.
现代控制理论的状态变量法提供了一种统一、高效的方法来描述具有任意阶次、线性或非线性、时变或常系数的各种系统。
The state variable approach of modern control theory provides a uniform and powerful method of representing systems of arbitrary order, linear or nonlinear, with time-varying or constant coefficients.
引进一个随机线性二次最优控制问题作为原问题的近似问题。
A stochastic linear_quadratic control problem is introduced as auxiliary problem of the initial problem.
本文改进了带线性约束0 - 1二次规划问题的罚参数下界。
In this paper, penalty parameter for linearly constrained 0-1 quadratic programming is improved.
如果某些问题(比如代数和线性代数)一次又一次的出现，我就做些练习去确认我是否真正的理解它了。
If something comes up again and again (like algebra and linear algebra), then I'll start doing some exercises to make sure I really understand it.
研究了控制时滞线性系统的二次型最优跟踪控制问题。
The optimal tracking control problem for linear systems with control delay is considered.
本文探讨了“串级阵阶模型误差”(包括控制回路中的惯性环节)对线性二次型(LQ)最优控制的稳定鲁棒性的影响。
In this paper the effect of "serial reduced order modelling error" (including the inertia links in regulation loop) on the robust stability of LQ optimal regulators is analysed.
常数变易法是求解非齐次线性微分方程的一种有效方法。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
为了补偿激光外差干涉纳米测量中的非线性误差，提出了一种减小非线性误差的一次谐波方法。
To compensate of the nonlinearity error of heterodyne interferometers in nanometer measurement, a method for reducing the first harmonic nonlinearity is proposed.
给出了常系数非齐次线性微分方程特解的一种新的公式化求解方法。
This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.
得到的结果表明，含有线性或三次参数激励的系统存在不可控区域，在该区域中异宿轨分岔总是导致混沌发生。
The results obtained here show that there exist uncontrollable regions in which chaos always takes place via heteroclinic bifurcation for the system with linear or cubic parametric excitation.
这种方法同样也适用于求解具有更高次非线性项的其他非线性波方程。
This method used in the paper can be also be applied to other nonlinear wave equations with higher-order nonlinear terms.
在相同的频率和声压级水平下，次声的损伤作用与次声的暴露时间并非呈线性关系。
Under the same frequency and same sound pressure level, the infrasound damage on the brain didn't show linear correlation with the acting time of infrasound.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
因此构造出高次、非线性度高的布尔置换是一个重要的研究问题。
Therefore constructions of Boolean permutation with high degree and high nonlinearity have become an important study problem.
因此构造出高次、非线性度高的置换是一个重要的研究问题。
Therefore constructions of permutation with high degree and high nonlinearity have become an important study problem.
本设计针对广泛应用的最优控制理论进行论述，并对其在实践中常用的线性二次型问题的原理和算法详细阐述。
This thesis discusses the first-rank control theory which is applied widely, and we discuss the principle and algorithm of linear-quadratic regulator in details.
研究了一个奇异的、次临界指数的半线性椭圆方程。
A semilinear elliptic equation with singular and subcritical exponent is studied.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
最后，建立了基于时间序列的二次指数平滑线性预测模型，进行商品销售趋势的分析，部分验证了本文的设计分析。
Finally built a two linear forecasting models based on smoothing of time queue about analysis of sale trend, and verified the design analysis of this paper partly.
讨论的问题包括线性调节器，状态估计器，状态线性函数观测器，及不完全或有噪声测量的线性二次控制。
The discussion includes linear regulator, state estimator, observer for a linear functional of state, and linear quadratic control with incomplete or noisy measurements.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
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