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We present two novel schemes of the interpolatory volumetric subdivision over the hexahedron lattice.

我们基于多元B形式曲面及B网表示的方法,通过对L及W曲线性质的讨论,证明了三变量的B样条曲面是多元B形式中的曲面,并进一步证明和讨论了多元B形式中的有理W曲面及其相关性质。

Ythagorean hodograph curves enjoy a number of remarkable properties, such as, its offset curves have exact rational representations; the arc length function of a Pythagorean hodograph curve is simply a polynomial function of the curve parameter; and the lower degree Pythagorean hodograph curves have intuitive geometrical interpretation.

H曲线具有诸如有精确的有理 Offset、弧长函数可由多项式函数表示以及几何解释优美等一系列优良性质。基于复分析方法,避免了实分析讨论中出现的复杂表示及繁琐计算,构造了满足给定 C1 Hermite插值条件且以C1拼接连续的三次 PH曲线偶。该曲线偶可灵活处理拐点,从而克服了一般三次 PH曲线因恒凸而无法处理拐点的缺陷。

Hypoplastic constitutive theory, which was originated from the middle and late stage of the 20th century, is a new type of soil constitutive theory based on rational mechanics. Hypoplastic theory can reflect inelasticity, nonlinearity, dilatancy and other main mechanical properties of granular material.

亚塑性本构理论是20世纪中晚期发展起来的一类基于有理力学的新型的连续介质本构建模理论,主要用于刻画无黏性散粒型上体的非弹性、非线性及剪胀性等主要应力应变特性。

In chapter 2, we consider the isomorphisms of integral table algebras. For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题:对任意整表基为B的整表代数,我们研究了代数整数环〓的一个子环R上的整R-代数RB。

For integral table algebras with integral table basis B we can consider integral R-algebra RB over a subring R of 〓, the ring of the algebraic integers.

第二章 我们考虑了有理整表代数间的同构问题:对任意整表基为B的整表代数,我们研究了代数整数环〓的一个子环R上的整R-代数RB。

In this paper, the property for the irreducible polynomial and questions of irreducibility for some special multinomial are studied, like the irreducibility question of , and the question for rational root on special integer polynomial of three, four times are studied.

本文研究了不可约多项式的性质和一些特殊多项式的不可约性问题,如的不可约性问题,同时研究了特殊的三次、四次整系数多项式的有理根问题。

According to the robust control H2 optimal performance specification, the practically desired diagonal elements of the system transfer matrix are suggested, and in view of the coupling action existing between the two closed loops, dynamic detuning factors are introduced to design the optimal double-loop controllers, and their executable PI/PID forms are derived using a mathematical rational approximation approach.

根据鲁棒控制H2最优性能指标,提出实际期望实现的系统传函矩阵中的对角元。考虑到两个闭环之间的耦合作用,引入动态解调因子设计最优双回路控制器,采用数学有理逼近的方法得到其实际可执行的PI/PID形式。

With this approach,the selection of weights and the estimation of approximation order simply depend on a parameter w.

该法适用于任意次数的有理Bezier曲线/面、任意的控制多边形/网格,权因子的选择和逼近度的估计都只依赖于一个参数w。

The two elements of a lower pair have theoretical surface with one another,while the two elementsof a higher pair have theoretical point or line contact.

低副的两个元素有相互间的理论接触面,高副的两个元素则有理论点或线接触。运动链一个运动链是环节和节点的组合。

This paper constructs the Newtons rational mapping f=(m-1z m-c/(mz m-1 ) by using complex coefficient polynomial and also constructs fulled in Julia fractal images of high order.

本文利用复系数多项式构造了牛顿变换有理映射f=((m-1)zm-c)/(mzm-1)。并构造了f的充满的Julia分形图。由充满的Julia分形图的吸引域边界叠加构造Julia集。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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