虽然这些计算无非是最基本的三角形和代数计算，但是所使用的公式非常复杂。
Although these calculations are nothing more than basic trigonometry and algebra, the formulas are very complicated.
程序始于基本数学过程的随机组合——加、减、乘、除和一些代数运算。
The program started with near-random combinations of basic mathematical processes - addition, subtraction, multiplication, division and a few algebraic operators.
此外，您可以使用该操作来迭代数组(包括基本类型数组)中的元素。
In addition, you can use this action to iterate through the elements of an array, including arrays of primitives.
当发表他的力学理论时，他重新使用基本的代数方法进行证明。
When he published his theories of mechanics, he recalculated them using the older, clunkier methods of al-Khwarizmi and his successors.
因子分析的基本知识是必要的，对线性代数的工作经验是有益的。
A basic knowledge of factor analysis is required and a working knowledge of linear algebra is helpful.
代数体函数的第二基本定理是一个基本而重要的定理，但它是关于常数的，其适用范围有局限性。
The second fundamental theorem of algebraical functions is fundamental and important but it is about constant Numbers and its applicative area has a limit.
它体现了代数学中研究其他代数结构的基本思路。
It reflects the algebra in other algebraic structure of the basic idea.
氨基酸替代数的估计是测定蛋白质分子间进化距离的基本统计方法，是研究蛋白质分子进化的基础。
Estimating of substitution number of amino acids is basic statistic methods of measuring evolution distance between proteins, which is the base of researching molecular evolution of protein.
文中给出了形态灰阶图象代数的基本定义、原理和基本图象处理操作，并且给出基于形态灰阶图象代数的一些灰阶图象变换操作。
The basic definitions and operators of this theory are given. In the end some grey scale image transformations based on the morphological grey scale image algebra are explained.
你不需要知道微积分或高等代数，但你必须熟悉基本的算术——加、减、乘、除。
You do not need calculus or algebra, but you must be on easy terms with basic math - adding, subtracting, multiplying, and dividing.
由于分数维不能反应灰度图像的方向性，本文利用矢量代数的基本知识，提出了一种灰度图像方向角的提取方法。
Because fractal dimension can not respond to the orientation of the gray level images, an image orientation Angle estimating method is proposed by basic knowledge of vector algebra.
它处理一切从基本的代数方程组，以先进的三角及统计计算。
It handles everything from basic algebra equations to advanced trigonometric and statistical calculations.
多项式模归约算法是计算机代数中的基本问题之一，在编码算法和密码体制设计中有着广泛应用。
Polynomial modulo reduction algorithms are one of the fundamental issues of computer algebra, and widely used in coding algorithms and cryptographic system design.
本文以一个简单的例子介绍共代数方法这一理论计算机前沿领域的基本概念，并试图阐述该方法的意义和远景。
This paper tries to explore the basic concepts of coalgebraic methods via a simple example and also discusses the perspectives of this area.
读者应与现代代数的基本概念。
The reader should be familiar with the basic concepts of modern algebra.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
该课程主要介绍逻辑学、集合论、代数系统以及图论的基本概念及其方法。
It mainly introduces basic concepts and basic methods in logic, set theory, algebraic system and graph theory.
这参考从提出几何学代数的数学基本规律的几章开始。
This reference begins with several chapters that present the mathematical fundamentals of geometric algebra.
首先在NML代数上引入MP -滤子与素滤子的概念，进而讨论了滤子和素滤子的基本性质，最后在全体素滤子之集上建立了拓扑结构。
Firstly the concepts of MP-filters and prime filter in NML algebras are introduced, and then topological structure of the set of all prime filters of NML algebras are discussed.
研究和总结了用复变函数的观点与方法来证明代数基本定理。
This paper proves fundamental theorem of algebra with Liouville's theorem , logarithmic residue theorem , argument principle, Rouche theorem, maximum (minimum)modules principle and zero point theorem.
学这门课没有特别的先修课程，但会假定你已经熟练掌握线性代数和基本机率。
No particular prerequisites are needed though a proficiency in linear algebra and basic probability will be assumed.
分析了电磁轴承多传感器故障的基本特征，提出了电磁轴承多传感器故障诊断方法——基于序列变量的多值逻辑代数方法。
It was analyzed in detail about the way of fault diagnosis of the sensors of magnetic bearings in guidance with the multi-valued logic algebra.
对这项技术应用的基本原理是电路和布尔代数。
The underlying principles of the application of this technology are electrical circuits and Boolean algebra.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
This paper uses several methods of complex functions theorey to prove fundamental theorem of algebra by argument principle, maximum modulus principle and minimum modulus principle.
流代数的基本概念是各种“流”算子的矩阵元在物理实验中是可以测量的。
The essential idea of current algebra is that matrix elements of various "current" operators are measurable in physical experiments.
在现行《线性代数》教材中，关于行列式按行(列)展开法则推论的证明，基本上采用同一种方法。
It is always in the same way in proving the inference of the rule that determinant spread in row or column in the current "Linear Algebra" teaching material.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
首先根据有限交换群上对称双特征标的概念，给出着色李超代数的定义，并介绍关于着色李超代数的一些基本概念与基础知识。
First, we give the definition of Lie color superalgebras using the symmetric bicharacter on a finite commutative group, and also we introduce some fundamental notions about Lie color superalgebras.
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