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The constructed algebraic spline curve not only possesses unwanted components and unexpected singular points but also satisfies C^2 continuity.

该算法得到的通近曲线二次代数样条曲线既不会产生多余的分支和不希望的奇异点,又达到整体C^2连续。

Let H. f and g be real polynomials in x, y of degree n+1, at most n and at most n respectively,△ be a set of h such that the real algebraic curve H =h has a compact component δ, and ω=gdx-fdy be a polynomial 1-form.

设H是n+1次实多项式,f,g为至多n次的实多项式,记△为使实代数曲线H=h有一个紧分支δ的所有h之值的集合,ω=gdx-fdy为多项式1-形式。

For a general parametric curve/surface, we usually cannot compute its exact implicit form. Even though its exact implicit form can be computed, the curve/surface implicitization involves relatively complicated computation and the degree is higher. Moreover, it may have unexpected components and self-intersections. All these unsatisfied properties limit the applications of the exact implicitization. So finding curve/surface approximate implicitization has become a practical problem. In this paper, we present an algorithm to solve the approximate implicitization of a given parametric curve by using a quadratic algebraic spline curve.

由于精确隐式化过程不一定可以实现,即使可以实现隐式曲线曲面的阶数高计算复杂,并且具有不希望的自交点和奇异分支,从而限制了隐式化的运用,所以寻求参数曲线曲面的近似隐式化问题成为很实际又重要的问题,提出利用二次代数样条曲线来实现一般平面参数曲线近似隐式化的一种算法。

An algebraic equation of the fourth degree.

有关二次方程式的代数分支

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit about all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法,建立了通风网络解算优化模型,并用梯度法对该模型进行解算,获得了一种新的风网解算算法。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit shoot all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法,建立了通风网络解算优化模型,并用梯度法对该模型进行解算,获得了一种新的风网解算算法。

But this is an all-out war against Hamas and its branches.

但是这是一场全面战争反对哈马斯和它的分支

Vishachikitsa, a toxicological science far in advance when compared to modern allopathy, got a strong foothold in Kerala as a separate branch of medicine.

Vishachikitsa,一种与现代对抗疗法相比十分先进的毒药科学,作为医学的一个独特的分支在喀拉拉根深蒂固。

A family of Altaic languages spoken in Mongolia and neighboring areas.

分布于蒙古以及临近地区的阿尔泰语系的一个分支

Nonlinear elliptic partial different equations of second order is amain branch of nonlinear partial different equations.It has many ap-plications in mathematics,physics,science and technology,engineer-ing.

二阶非线性椭圆型偏微分方程是非线性偏微分方程的重要分支,它在数学、物理、科技和工程中有着广泛的应用。

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I didn't watch TV last night, because it .

昨晚我没有看电视,因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来,在北京的很多小区里,电梯液晶电视被撤了下来。

I'm running my simile to an extreme.

我比喻得过头了。