查询词典 Laguerre polynomial

The wave front and the intensity pattern of the simplest Laguerre Gauss or doughnut mode.

最基本的 LG和暗中空模式的波前和强度图形。

The Laguerre-Gaussian modes and linear polarization modes were applied for determining mode intensity distribution. The temperature effect on the mode spot size was evaluated.

我们推导Laguerre-Gaussian 模及线性偏振模的光场强度於空间位置上的分布，并分析温度对横模光点尺寸的影响。

Comparing to the algebraic polynomial,the trigonometric polynomial interpolation studying is more difficult ,and the methods are more different.

与代数多项式相比，三角多项式插值的研究要困难一些，研究方法也有众多不同。

In the linear algebraic the coefficient of polynomial and the corresponding relation of the farmnla of multi-line matrix could be built,thus seck the maximum common factor of the polynomial through making use of primary transformation of line.

在线性代数中，可以建立多项式的系数与多行矩阵表示式之间的对应关系，从而利用初等行变换求多项式的最大公因式。

In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as Lagrange interpolation, Hermite interpolation and Bernstein polynomial approximation.

在逼近论中，用多项式逼近有理式的经典的方法是各种插值与算子逼近方法，如Lagrange插值、Hermite插值和Bernstein多项式逼近等。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

Numerical analysis of the best uniform approximation polynomial problem, the program contains polynomial input interface.

详细说明：数值分析中的最佳一致逼近多项式问题，程序中含多项式输入界面。

It included Karaji's binomial theorem and rules of the arithmetic polynomial operations and developed Karaji's theory of polynomial.

其中保存了凯拉吉的关於二项式定理的工作以及多项式的运算法则，并进一步发展了凯拉吉的多项式理论。

This book included Karaji's binomial theorem and rules of the arithmetic polynomial operations and it developed Karaji's theory of polynomial.

算术珍本》中保存了凯拉吉的关于二项式定理的工作以及多项式的运算法则，并进一步发展了凯拉吉的多项式理论。

When the determinant is expanded, it produces a polynomial, called the characteristic polynomial

当行列式展开后，得到一个多项式，叫它为特征多项式。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。