We derived a set of mathematical formulas for describing the third-order nonlinear optical process in polydiacetylene crystals.
我们建立了一套描述聚丁二炔晶体中的三阶非线性光学过程的数学公式。
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。
During the design process we made sure that all of the designs shown in this article are essentially mathematical in nature; that is, they exhibit order, symmetry and limitation.
在设计过程中，我们确保本文展示的所有设计都遵循了数学的本质本性，也就是展现秩序、对称和极限。
How did that approach to modeling evolve? Obviously, there's this strong mathematical research background. But what's the process like of translating that theory into something that's usable?
那种建模的方法是怎么进化来的？很显然的，这里有很强的数学研究背景，但是怎么把它转化成一种实用的东西呢？
The process of encryption or decryption is generally known as cryptography, and relies on mathematical algorithms.
加密过程或解密过程一般被称作密码术，且依赖于数学算法。
What Lewin and Leighton invented was a mathematical scheme called "consistent hashing" that radically sped up the process.
列文和莱顿发明的是一种被称作“一致性哈希”的数学规划，这可以从根本上提高进程的速度。
Fischer prefers to use a less common mathematical process known as the wavelet transformation, which represents the sound in terms of short, discrete components known as wavelets.
菲舍尔更喜欢一种比较不常用的数学方法——小波变换，这种方法可以将声音分解成比较短的离散的小波成分。
Bonita provides a GUI for configuring variables according to your application's business logic and evaluating mathematical and logical expressions based on process variables.
Bonita提供了一个GUI，它可以根据您应用程序的业务逻辑来配置变量，并且可以基于流程变量来评估数学及逻辑表达式。
They often focused on complex mathematical theories (such as the Pi-Calculus) without ever validating if these theory's semantics would actually be enough to support a business process execution.
他们经常关注复杂的数学理论（如Pi-Calculus），从来不去验证这些理论的语义是否真的足够支撑一个业务过程执行。
The researchers conducted a series of laboratory experiments with groups of various sizes and developed a mathematical model of the intuitive learning process.
该研究选取不同大小的样本进行了一系列实验室实验，形成了直觉学习过程的计算模型。
This process is called that of establishing mathematical models.
这个过程就是通常所说的建立数学模型。
Most mathematics instruction is a kind of satire on the nature of mathematical thinking and the process of creating mathematics.
大部分数学教育，对数学思考的本质和数学创造的过程而言，是一种讽刺。
The method of numerical simulation converts the question of conjugate surfaces into the problem of mathematical programming. The conjugate process can be directly described by numerical simulation.
数字仿真方法将共轭曲面问题归结为数学规划问题，可以应用数字化手段直接描述共轭过程。
As sinter is a typical time varying and nonlinear system with large delay time, it is difficult to describe the whole process using a mathematical model.
烧结是一个典型的时变、非线性、大滞后的系统，很难用一个确定的数学模型去描述整个过程。
Based on a typical time varying and nonlinear system with large delay time, it is difficult to describe the whole process using a mathematical model.
基于复杂工艺过程的时变、非线性、大滞后的系统，很难用一个确定的数学模型去描述整个过程。
In this paper, the governing process of gates is firstly analysed, and then the mathematical models of the operation of upstream constant level gate and that of downstream one are given.
本文首先分析了闸门的调节过程，然后给出了上游常水位闸门和下游常水位闸门工作的数学模型。
Tube mill pulverizer system is a multi variable and strong coupling process, which is difficult for mathematical model establishing.
中储式球磨机制粉系统是一个多变量、强耦合的对象，数学模型难以建立。
A mathematical model for thermal process is established and the process is simulated by numerical methods such as finite element method etc.
建立了热过程的数学模型，并采用有限元等数值方法模拟其热过程。
Due to the complexity and high non-linearity of microbial fermentation process, most simple mathematical models cannot describe the behavior of biochemistry systems very well.
由于微生物发酵过程的复杂性和高度非线性，更多的简单的数学模型不能很好地描述这类生化系统。
The mathematical process of polarization curve revealed that the fabrication technique of air electrode was steady and prone to bring high electrode performance.
极化曲线的数学处理表明，电极制备工艺稳定，重现性好。
Based on the principle of a varied mass system, the non linear mathematical model of the crop mechanics for an axial threshing process was set up.
运用变质量系统的基本原理，建立轴流脱粒过程中谷物运动的非线性动力学模型。
Mathematical Model for delay process of a reheating furnace is studied in this paper.
本文对加热炉待轧过程进行了数学模型的研究。
Using the mathematical model of filtration process analyses the production capacity of the continuous revolving drum vacual filter and the filtration efficiency.
应用过滤过程数学模型分析了连续转鼓式真空过滤机的生产能力机理，对过滤效率进行了分析。
Filtered process mathematical model includes material balance equations of solid filter material and liquid sewage respectively.
污水过滤过程的数学模型包括固体滤料相和液体污水相的物料衡算方程。
Based on the mathematical model, the dynamic process of character control is described, and the detailed steps of algorithm are given.
在建立的数学模型基础上，对特征控制的动态过程进行描述，并给出算法的详尽步骤。
Based on study of punching process requirements and processing sequence, the polychromatic sets theory was applied to construct the mathematical model of punching process planning.
在研究冲压工艺加工需求和加工工序的基础上，应用多色集合理论建立了冲压工艺规划的数学模型。
This paper analyzed the heat exchange between ceramic honeycomb regenerator and gas, and established a heat transfer process mathematical model for ceramic honeycomb regenerator.
分析了高风温燃烧系统中陶瓷蜂窝蓄热体和气体间的热量交换，建立了陶瓷蜂窝蓄热体传热过程数学模型。
The mathematical model of thermal process in a cylindrical lime shaft kiln with double slopes was studied.
通过数学模型的方法研究了圆筒形双斜面石灰竖窑内的热工过程。
The mathematical model of thermal process in a cylindrical lime shaft kiln with double slopes was studied.
通过数学模型的方法研究了圆筒形双斜面石灰竖窑内的热工过程。
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