单形

水晶中三方偏方面体单形的结晶习性

Crystallization Habits of the Trigonal Trapezohedron Simple Form of Synthetic Quartz

单形分布变离差检验的Score统计量的局部影响

Local Influence on Score Statistic for Varying Dispersion Test in Simplex Distribution

关于单形k维中面的性质及其应用

Some properties for k-dimensional middle sections of a simplex and their applications

关于单形k维中面的一类几何不等式

Some geometric inequalities for k-dimensional middle sections of a simplex

关于n维单形k维顶角的正弦定理

Law of sines of k-dimensional vertex angles of an n-simplex

两个单形的k级混合顶点角

The k-Dimensional Mixed Vertex Angle of Two Sim p lices

k维单形上的广义余弦定理

Wide cosine theorem of k dimension simplex

图G的团复形是一个抽象复形，它的单形是G的团，用C（G）表示。

The clique complex of a graph G is an abstract complex whose simplex is the cliques of G denoted by C ( G ) .

目的探讨肝单形性上皮样血管平滑肌脂肪瘤（EA）临床病理学特征及诊断、别诊断要点。

Objective To investigate the clinicopathologic features and differential diagnosis of hepatic monotypic epithelioid angiomyolipoma ( MEA ) .

设U是M在V中的某开邻域且Δn是Rn中n维标准单形。

And let U be an open neighborhood of M in V and Δ n be the n dimensional standard simplex in R n.

单形上Bernstein多项式的快速求值

Fast Evaluation for Bernstein Polynomials over Simplices

讨论了n维欧氏空间En中n维单形不等式的对偶式。

Antithetic formulas of some inequalities for an n-dimensional simplex in the n-dimensional Euclidean space E ~ n are discused .

本文证明了关于两个单形的k级混合顶点角与每个单形的k级顶点角之间的一些新的重要的几何不等式。

In this paper , we establish some new important geometric inequalities involving the k-dimensional vertex angle of each simplex and the k-dimensional mixed vertex angle of two simplices .

Schur凸函数与n维单形不等式

Schur convex functions and inequalities of n-simplex

本文用对偶单形法线性规划求解Taylor理论，计算了面心立方和体心立方金属在平面应力条件下各向同性屈服表面。

The isotropic surfaces of both fce and bcc metals under plane stress were calculated by Taylor theory which was solved with the linear programming dual simplex method .

高维单形中Gerber不等式的加细

Refinement of the Gerber Inequality for High-Dimensional simplex

无心脏病史。ECG确定为右室流出道频发单形性室性早搏（10/min）。

Methods Twenty-eight patients without history of heart diseases were determined by ECG ( > 10 beats / min ) to be with frequent monomorphic ventricular ectopic beats originating in the right outflow tract .

把虚方法调用转换成直接方法调用，叫做单形（monomorphic）调用变换。）

Converting a virtual method call to a direct method call is called monomorphic call transformation .

利用距离几何理论与解析方法，建立了n维单形两个不等式的对偶式，指出了最近所建立的单形FinslerHadwiger不等式的k维对偶式是错误的。

By using theory of distance geometry and analytic method , the antithetic formulas of two inequalities for an n-dimensional simplex are established . Moreover , we point out the mistake of the k-dimensional antithetic formula of Finsler-Hadwiger inequality of a simplex .

本文利用高维形式的pythagoras定理给出正交单形的主要不变量之间的关系。

This paper discusses the relations among the main invariants of the orthogonal simplex by using the higher dimensional pythagorean theorem .

应用度量几何理论与解析方法研究了n维单形的度量性质，获得n维单形的k维中面的若干几何性质，并给出它的一些应用。

The theory of metric geometry and the analytic method is used to study the metric properties of an n-dimensional simplex . Some geometric properties for k-dimensional middle sections of an n-dimensional simplex are obtained , and some applications of these properties are given .

关于单形宽度的Sallee猜想

Sallee 's conjecture on the width of a simplex

一个图G的邻域复形是以G的顶点为顶点，以G的具有公共邻接顶点的顶点子集为单形的抽象复形。

Let G be a graph and let V ( G ) be the vertex set of G. Define the neighborhood complex N ( G ) as the simplicial complex whose simplices are those subsets of V ( G ) which have a common neighbor .

应用距离几何理论和解析方法研究了n维欧氏空间En中n维单形的外接球半径与内切球半径之间的不等式关系，以及单形体积与棱长之间的不等式关系。

The theory of distance geometry and the analytic method is used to study the inequality for circumradius and inradius and for the volume and edge-lengths of an n-dimensional simplex in the n-dimensional Euclidean space E ~ n.

本文用新方法讨论解决了n维椭圆空间S~n中若干几何问题。给出了关于n维球面单形的余弦定理、高的公式、内切及外接球半径r，R以及内心I与外心Q间的距离公式。

In this paper , we discuss some geometric problems in n dimensional elliptic space Sn to give the theory of cosine , the formula of highness , inradius , circumradius and distance between inscribed spherical centre and circumscribed spherical centre about n dimensional spherical simplex .

本文给出单形K维顶点角的概念，建立单形新的一类体积公式，导出单形K维顶点角的正弦定理，并获得关于单形K维顶点角的一个几何不等式。

In this paper , the concept of k dimensional vertex angle of simplex is given , a class of volume formulas of simplex are established , sine theorem of k dimensional vertex angle is derived and a geometric inequality about k dimensional vertex angle is obtained .

本文建立了n维单形Wn与其内接单形W'n的外接球半径和内切球半径的一个几何不等式，它包含了n维Euler不等式。

A geometric inequality for the circumradius and inradius of an n-dimensional simplex Ω n and it 's inscribed simplex Ω 'n is established . It contains the n-dimensional Euler inequality .

给出了n维欧氏空间En中的两个关于单形外接球半径和内径的几何不等式，同时进一步改进了文〔1〕和〔2〕中的n维欧拉不等式。

In two inequalities concerning the circumradius and inradius of an n dimensional simplex in the n dimensional Euclidean space E n were obtained , Thus , the n dimensional Euler inequality and the inequality in , were improved .

以多传感器量测信息的空间配准为应用，比较分析了对称性采样，最小偏度单形采样，以及超球体单形采样等多种UT变换采样策略。

The comparison is proposed for the symmetric sampling , simplex min skew sampling and simplex sphere sampling strategies in the case of multi-sensor information space alignment from the sphere to Cartesian coordinates .

将平面上关于三角形中三条线共点问题的Ceva定理，推广到n维欧氏空间E~n中关于单形的n＋1个n－l维超平面的共点问题。

The Ceva 's theorem concerning the concurrent problem of three lines in a triangle is extended to that of ( n + 1 ) ( n-1 ) - dimensional hyperplanes of simplex in the n-dimensional Euclidean E ~ n.