In 2002 he worked out equations that can predict the way cancer evolves and spreads, such as when mutations emerge in a metastasis and chromosomes become unstable.
在2002年，他就得出了一个能预测癌症演化和扩散方式的方程组，比如说染色体何时开始变得不稳定，使得癌细胞在转移中发生变异。
The gravitational lens equations account for all the variables such as distance and density, and provide a better idea of when light left the background galaxy and how far it traveled.
引力透镜公式计算所有的变量，比如距离和密度，对光何时离开背景星系以及行走了多远的距离给出更好答案。
Given a few key variables, such as how often viral genes shuffle inside cells, his equations can provide the minimum mutation rate to safely kill a virus.
他的方程序给出了一些关键的变量，比如病毒基因在细胞内的变异速率，这些可以帮助研究人员安全地杀死病毒。
Human beings like to think of themselves as possessing unique capabilities such as being able to use tools, employ a language with syntactic rules and process complex mathematical equations.
人类总是觉得他们具备一些独特的能力，诸如能够使用工具、采用一种具有语法规则的语言和处理复杂的数学方程序。
As the need expanded to include more characters and symbols, such as those found in French, Spanish, and mathematical equations, an extension to ASCII was included.
随着需求扩展，需要包含更多字符和符号，比如法语、西班牙语和数学等式中的字符和符号，ASCII的一个扩展被包含进来。
Middle School Matters incorporates key benchmarks, such as the ability to read for learning, write to communicate and perform complex math equations at grade level.
初中紧要项目包含着一些关键指标，比如阅读和搜集信息能力，写作交流能力和计算相应年级复杂方程式的能力等等。
But it was not until the 19th century that mathematicians such as Evariste Galois, an unhappy French genius, discovered symmetries hidden in the solutions to mathematical equations.
但直到19世纪数学家们才发现隐藏在数学方程解法中的对称性，其中包括郁郁寡欢的法国数学天才艾瓦里斯特·伽罗瓦。
The GEOS-5 model USES mathematical equations that represent physical processes-such as precipitation and cloud processes-to calculate what the atmosphere will do.
GEOS - 5运用描述物理过程的数学方程(比如沉积过程和成云过程)来模拟大气的变化。
This kind of schemes has advantages such as cardinal type, explicit calculation(no need to solve system of equations) and localization.
这类方法具有基数型、显式计算（无须求解方程组）及局部性等优点。
The characteristics of MR damper have been described by a set of nonlinear differential equations including three physical parameters such as displacement, voltage and force.
这种阻尼器的性能可通过一组非线性微分方程来描述，物理参数包括位移、电压和力。
Many models in various field of applications, such as biology, ecology and biochemistry, can be described by nonlinear reaction-diffusion equations with time delays.
生物学、生态学、生物化学等应用领域中的许多模型都可以用非线性时滞反应扩散方程来描述。
By using these equations, the frequency-tuning characteristics of te (a) CO2 lasers, using such techniques as grating, F-P modulator, or injection locking, can be investigated theoretically.
利用这个方程组，可以从理论上研究采用各种可调谐技术(如光栅调谐、F - P调制器调谐、注入锁模等)的TE (A) CO_2激光器的调谐特性。
Since it is an inverse problem, numerical techniques, such as discretization of the integral into a system of linear equations, are necessary.
由于这是一个反问题，一些数字技术比如将积分离散化为一个线性方程组是必需的。
It's important that you have all the necessary tools at your disposal, such as a calculator so you don't waste time on simple equations.
当然，计算器等必备工具也很重要，避免时间浪费在简单方程上。
The flow parameters such as discharge, free surface profile and boundary pressure distribution are simulated by numerical calculating the boundary integral equations.
通过数值求解边界积分方程组，对流量、水面线和边壁压力等水力参数进行了数值模拟。
It is compatible with equations of rigid multibody systems because of using the concepts, such as path matrix, incidence matrix, instantaneous augmented body.
由于采用通路矩阵、关联矩阵、瞬时增广体等概念，其形式与多刚体系统动力学方程兼容。
The parameters such as oil film pressure, oil flux and so on are obtained from joint solution of Reynolds and energy equations of SFD.
文中根据雷诺边界条件，通过联立求解SFD的雷诺方程、能量方程得到了SFD的压力分布、滑油流量等参数。
Therefore, some sediment transport theories derived from these energy balance equations of sediment-laden flow, such as sediment transport intensity, resistance in movable bed, etc.
从而从这些有缺陷的能量平衡方程所得到的一些泥沙运动理论，如输沙强度、动床阻力等，就难免在理论上存在一定的不足。
Many equations arising in practical application are singular nonlinear equations, such as bifurcation points, inflexion etc.
在实际应用中，很多问题出现的方程都是奇异非线性方程，如分歧点、折点等。
There are many methods to solving interior economical operation of the hydroelectric power such as equal incremental equations method, dynamic programming and non-linear programming.
求解水电厂厂内经济运行的方法很多，如等微增率法、非线性规划和动态规划法等。
The following topics were studied in this paper:(1) Analysis of the airflow in the air-conditioning room, and to find out the equations of the parameters such as temperature, velocity and pressure.
分析暖通空调室内气流的流动情况，建立起模拟区域内各种基本参数（温度、速度等）所满足的方程。
Heat equation is the most typical one of parabolical equations, which describes many physical-phenomenas, such as conduction, diffusion. Etc.
如描述热传导、扩散等物理现象的热传导方程就是最典型的抛物型方程。
The equations of teeth surface after modification of all key components, such as wave producer, oscillating teeth, end face gear, are deduced.
推导出了活齿端面谐波齿轮各啮合副经过齿面修形后的齿面方程。
Ability to apply advanced mathematical concepts such as exponents, logarithms, quadratic equations, and permutations.
在工作中能运用高等数学概念，如指数，对数，二次方程序和排列。
In this paper, a proof to other forms of the equilibrium equations such as four moment equations, five moment equations and six moment equations is given by use of a simply geometric method.
本文就空间力系平衡方程的四力矩式、五力矩式和六力矩式应用直观的几何方法加以证明。
Based on this model, several control equations are solved. And some parameters along the channel, such as pressure, temperature, velocity and heat exchange coefficient are achieved.
在此模型基础上，利用分布参数法求解各控制方程，得出了制冷剂的温度、压力、气液相速度以及冷冻水温度、压力沿通道方向上的分布情况。
In this paper, the general dynamic equations of the hinged stiff rotor blades are derived for a lot of factors, such as the second-harmonic of induced velocity;
在本文中作者考虑了各种因素，推导出铰接式刚性旋翼的动力学广义方程。这些因素是：诱导速度的二阶谐量与挥午系数的二阶谐量；
Surface integral equations for dielectric objects based on equivalent principle, such as PMCHW, TENENH, JMCFIE are presented in detail.
首先，本文详细介绍了求解介质结构的面积分方程方法及目标模型的建立。
Surface integral equations for dielectric objects based on equivalent principle, such as PMCHW, TENENH, JMCFIE are presented in detail.
首先，本文详细介绍了求解介质结构的面积分方程方法及目标模型的建立。
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