文章结合代数曲线积分思想与活性边表技术，提出了一种新的任意多边形代数积分算法。
Based on the Curvilinear Integral and its sorted edge table, a new polygon fill algorithm is developed in the article.
你会发现这是他它的第一卷，并且第二卷也值得去读：微积分卷2：多远微分与与线性代数及其应用。
You may want to note that this is the first volume, and that the second volume is also worth getting: Calculus, vol. 2: Multi-Variable Calculus and Linear Algebra with Applications.
没有三角学和代数学的知识你不会理解微积分。
You can’t do a calculus class without first taking (and understanding) an Algebra and a Trigonometry class.
一旦你开始学习代数，四则运算看起来就很简单了。当你学到微积分，四则运算简直就是小儿科。
Arithmetic looks easy once you start with algebra, which seems trivial once you go onto calculus.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
大学：微积分，微分公式，线性代数，概率和统计，离散数学。
College: Differential and Integral Calculus, Differential Equations, Linear Algebra, Probability and Statistics, Discrete Math.
借助降维展开公式，我们对积分构造出具有代数精度的边界型求积公式。
By using the lowering dimensionality expansions, we construct boundary type cubature formulas with the algebraic precision for integrals.
在指标计算中，高斯积分法以其代数精度高经常受到人们的青睐。
Gauss Integral method is populated due to its high algebraic accuracy in index calculation.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
以能量原理为基础，推导出变截面压杆计算临界力的简便方法，把复杂的积分运算归结为一个简单的代数运算。
Based on energy theory, a simple critical force calculation for pressed beam with variable cross sections is derived. It reduces the complex integration algorithm into a simple algebraic operation.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
所学专业是应用数学，主要教授《微积分》、《线性代数》、《概率论与数理统计》课程。
I have been teaching courses such as Calculus, Linear Algebra, and Probability and Mathematical Statistics in the institute for more than twenty years.
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.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
泛函分析和算子代数；量子化方法和路径积分；变分技术。
Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.
数学方法：线性代数，赋范空间，分布，积分。
Mathematical Methods: Linear Algebra, Normed Spaces, Distributions, Integration.
给出了一种代数法交换积分次序的方法，避免了作积分区域图的麻烦。
The article introduces a method in which the order of quadratic integral can be exchanged with the knowledge of elementary.
第三类广义积分都可以写成第一类与第二类广义积分的代数和。
The third type im-proper integral can be written as the algebraic sum of the first and second type integrals.
本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系。
In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition.
熟悉多变量微积分，线性代数，概率和统计是必需的。
Familiarity with multivariable calculus, linear algebra, and probability and statistics is required.
解析的使用，属于，或可能属于包括代数和积分在内的方法学。
Using, subjected to, or capable of being subjected to a methodology involving algebra and calculus.
此学位的课程将包括大学代数和微积分，技术写作，仪器校准和实验室技术。
Coursework for this degree will include college algebra and calculus, technical writing, instrument calibration, and laboratory techniques.
目前APOS理论在国外比较盛行，已经在函数概念、抽象代数、离散数学、微积分等多方面领域得到广泛应用。
APOS theory relatively prevails abroad at present and it has already been widely used in many aspects, such as function concept, abstract algebra, dispersed mathematics, calculus.
数学的必修学分预定选代数、微积分、三角法。
For my math requirements, I 'll be taking algebra, calculus, and trig.
利用一个特殊非协调矩形元导出了一个新的使用节点少而代数精度高的非常规数值积分公式。
In this paper, a new unconventional numerical quadrature with fewer node values is established based on a special nonconforming rectangular finite element.
用延续算法对该代数方程组进行求解，得到系统的周期解。系统周期解的初始值通过时域数值积分得到。
The system of nonlinear algebraic equations is solved by using the continuation method and its periodic solution is obtained.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
应用推荐