直线和圆一般参数化形式的研究

使用什么样的直线 (圆 )参数化形式直接影响着直线 (圆 )提取性能的优劣。本文系统地研究了构造直线 (圆 )参数化一般形式的方法 .本文主要由六部分构成 .第一部分研究满足唯一性条件的直线 (圆 )参数化形式 .第二部分研究具有扩张特性的直线 (圆 )参数化形式 .第三部分研究具有凝视特征的直线参数化形式 .第四部分研究具有凝视特征的圆化形式 .第五部分简单探讨了特殊参数化形式与滤波理论之间的关系 .第六部分是实验结果 .本文的工作为优化直线 (圆 )

圆变跑道圆形式风筒法兰的加工方法

风筒法兰是离心式压缩机机壳的重要部件,其中以非回转体风筒法兰加工工艺最为复杂,非回转体风筒法兰中等壁厚对称圆变跑道圆形式风筒法兰为最典型结构。在镗削或铣削前,根据等壁厚对称圆变跑道圆形式风筒法兰的结构,设计出可以车加工的风筒法兰结构,尽量使用车加工方式去除余量,提高加工效率、降低成本。

庄子道圆形式的理论构造初探

圆是自然科学的数理概念 ,庄子巧妙地利用了这一概念较系统地提出了道的基本形式 ,即提出了道圆思想的主张。其主张贯穿于庄子思想的哲学观、政治观和人生观 ,是庄子思想最具特色的理论构造之一。在哲学观上 ,庄子广泛地阐述了道圆形式的种种概念 ,形成了庄子独特的相对主义认识论。在政治观上 ,庄子构筑了其道圆无为政治思想的理论框架 ,尤其是庄子对“浑沌”形象的塑造 ,最典型地表达了其道圆无为的政治思想。在人生观上 ,庄子通过道圆形式揭示了人的死生、贫富、祸福、穷达等都是道圆过程 ,不分彼此。故道圆人生有正反表现 ,有积极和消极之说 ,无待人生是最高理想 ,“缘督以为经”是人生处世的基本原则 ,其实质则主要是反映其政治性。此外 ,庄子所处时代 ,绝对主义盛行 ,庄子道圆形式的相对主义认识论又是否定和批判时代教条与权威的锐利武器。因此 ,庄子思想虽也是一种偏见 ,但亦有其可贵价值。其道圆说作为一种外在形式同内在道无相结合 ,且达到完美的统一 。

庄子道圆形式的理论构造初探

庄子之道,窈窈冥冥,昏昏默默,深宏奇愧,阔大无极。本文试探庄子之道同古代数论圆的抽象概念相结合而形成的理论构造和观念,以期对庄子博大精深的道学内涵作出形式上的新认识。

论中国古典诗学中的“圆美”——以书法文化为例

“圆美”是中国古典美学的一个重要范畴,具有丰富的哲学内涵。书法美学视域中的“圆美”一直没有引起足够的重视,仅作为美学与诗学领域阐释“圆美”时的举例和补充,未能获取独立的品格。然而,“圆美”的理念贯穿了书法的艺术语言、意象世界和艺术意蕴等诸多层面,“圆美”也是历代书家孜孜以求的审美理想和历代书法审美风尚的关键要素。

矿热炉功率圆图系列特性曲线及拓展应用

本文重点阐述了功率圆图特性曲线──Ｐ＝ｆ（Ｑ）的特点，建立一系列曲线（圆和直线）的方法，以及重要解析方程的推导．通过所举几例电炉的该曲线，做出了简要分析评价．并提出了优化电炉运行的途径和方法．

Further Improvement of Klamkin Inequality

In this paper, we use a geometric identity in the n-dimensional Euclidean space En and give the further improveme nt of Klamkin inequality in the space En.

Capacities and Failure Modes of Suction Bucket Foundation with Internal Bulkheads

Suction bucket foundations can be divided into four compartments by cruciform internal bulkheads,thereby yielding better capacity in certain conditions than those without internal bulkheads.As yet,no systematic study has been conducted regarding the effects of cruciform internal bulkheads on the capacities of suction bucket foundations.In this study,we established a large number of finite element models of suction bucket foundations with and without cruciform internal bulkheads and of solid embedded circular foundations.We found the uniaxial capacities and failure modes of suction bucket foundations with various depth ratios to remain basically unaffected by internal bulkheads in uniform clays.However,in inhomogeneous clay with high strength heterogeneity,we observed the uniaxial moment and horizontal capacities and corresponding failure modes of suction bucket foundations with a low depth ratio to be obviously affected by internal bulkheads.In this case,the uniaxial moment capacities,in particular,as well as the horizontal capacities of suction bucket foundations with cruciform internal bulkheads become obviously greater than those without internal bulkheads.Under combined loading,we found the failure envelopes of suction bucket foundations with and without cruciform internal bulkheads and of solid circular foundation to also be basically consistent in uniform clays.However,in inhomogeneous clay with high strength heterogeneity,cruciform internal bulkheads can obviously change the shapes of the failure envelopes of bucket foundations with a small depth ratio.We conclude that when the acting vertical load or foundation depth is relatively small,suction bucket foundations with cruciform internal bulkheads can be subjected to larger moment and horizontal loads in soft clays with high strength heterogeneity.

秀山花灯“跳团团”舞蹈动态特征及分析

秀山花灯是土家族、苗族、汉族等民族和谐共生互存的历史"百科全书",它是一种集歌、舞、戏、吹打乐、琴弦乐和民间纸扎工艺以及民俗礼仪内容为一体的综合艺术,跳花灯舞蹈是其重要的组成部分,经历了从"跳团团"、"门斗转"(男围女),到"二人转"的漫长过程。"跳团团"是跳花灯得以形成的原始基因,也是跳花灯的原始形态,具有丰富的文化内涵。

Mathieu Progressive Waves

A new family of exact solutions to the wave equation representing relatively undistorted progressive waves is constructed using separation of variables in the elliptic cylindrical coordinates and one of the Bateman transforms. The general form of this Bateman transform in an orthogonal eurvilinear cylindrical coordinate system is discussed and a specific problem of physical feasibility of the obtained solutions, connected with their dependence on the cyclic coordinate, is addressed. The limiting case of zero eccentricity, in which the elliptic cylindrical coordinates turn into their circular cylindrical counterparts, is shown to correspond to the focused wave modes of the Bessel-Gauss type.

A Coupled Hybrid Lattice: Its Related Continuous Equation and Symmetries

The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discrete coupled KdV system, is also found to be discrete form of a coupled mKdV systems. Delayed differential reduction system and pure difference systems are derived from the coupled hybrid system by means of the symmetry reduction approach. Cnoidal wave, positon and negaton solutions for the coupled hybrid system are proposed.

Some New Exact Solutions of Jacobian Elliptic Function of Petviashvili Equation

By using the modified mapping method, we find new exact solutions of the Petviashvili equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions.

Boundedness of Solutions for Elliptic Variational Inequalities

The boundedness is proved under more general structural conditions to solutions of elliptic variational inequalities and a priori estimates are obtained to maximum modulus of solutions for some special cases.

Periodic Solutions for a Class of Nonlinear Differential-Difference Equations

In this paper, by applying the Jacobi elliptic function expansion method, the periodic solutions for three nonlinear differential-difference equations are obtained.

Another Simple and Elementary Proof of the Classical Isoperimetric Inequality

In this short note we will give another simple and elementary proof of the classical isoperimetric inequality in the Euclidean plane.

Polar Mixing Optical Phonon Spectra in Wurtzite GaN Cylindrical Quantum Dots: Quantum Size and Dielectric Effects

The interface-optical-propagating （IO-PR） mixing phonon modes of a quasi-zero-dimensional （QOD） wurtzite cylindrical quantum dot （QD） structure are derived and studied by employing the macroscopic dielectric continuum model. The analytical phonon states of IO-PR mixing modes are given. It is found that there are two types of IO-PR mixing phonon modes, i.e. p-IO//z-PR mixing modes and the z-IO//p-PR mixing modes existing in QOD wurtzite QDs. And each IO-PR mixing modes also have symmetrical and antisymmetrieal forms. Via a standard procedure of field quantization, the Frohlich Hamiltonians of electron-（IO-PR） mixing phonons interaction are obtained. Numerical calculations on a wurtzite GaN cylindrical QD are performed. The results reveal that both the radial-direction size and the axial-direction size as well as the dielectric matrix have great influence on the dispersive frequencies of the IO-PR mixing phonon modes. The limiting features of dispersive curves of these phonon modes are discussed in depth. The phonon modes ＂reducing＂ behavior of wurtzite quantum confined systems has been observed obviously in the structures. Moreover, the degenerating behaviors of the IO-PR mixing phonon modes in wurtzite QOD QDs to the IO modes and PR modes in wurtzite Q2D QW and QID QWR systems are analyzed deeply from both of the viewpoints of physics and mathematics.

Heat transfer augmentation in a circular tube with winglet vortex generators

The article presents the influence of winglet vortex generators （WVGs） placed in the core flow area on ther- mal performance enhancement of a tube heat exchanger. The experiment was carried out in a uniform wall heat-fluxed tube by varying turbulent airflow for Reynolds number ranging from 5300 to 24000. In the pres- ent work, the WVGs with an attack angle of 30° were inserted into the test tube at four different winglet pitch ratios （Rp = P/D） and three winglet-width or blockage ratios （Ra = e/D）. The experimental results at various Rp and RB values were evaluated and compared with those for smooth tube and tubes with twist- ed tape or wire coil. The measurement reveals that the WVGs enhance considerably the heat transfer and friction loss above the plain tube, wire coil and twisted tape. The Nusselt number and friction factor increase with the increment Of RB and Re but with the decreasing Rp. The average Nusselt numbers for the WVGs with various Ra are in the range of 2.03-2.34 times above the plain tube. The thermal performance for the WVGs is found to be much higher than that for the wire coil and twisted tape and is in a range of 1.35-1.59. Also, a numerical investigation is conducted to study the flow structure and heat transfer enhancement mecha- nisms in the winglet-inserted tube.

Variational formulas and approximation theorems for the first eigenvalue in dimension one

Some complete variational formulas and approximation theorems for the first eigenvalue of elliptic operators in dimension one or a class of Markov chains are presented.

Elliptic curves and positive definite ternary forms

For two given ternary quadratic forms f( x, y, z) and g( x, y, z), let r( f, n) and r( g,n) be the numbers of representations of n represented by f( x, y, z) and g( x, y, z) respectively. In this paper we study the following problem: when will we have r( f, n) = r( g, n) or r( f, n) ≠ r( g, n).Our method is to use elliptic curves and the corresponding new forms.

Kato's inequality and Liouville theorems on locally finite graphs

In this paper,we study the Kato's inequality on locally finite graphs.We also study the application of Kato's inequality to Ginzburg-Landau equations on such graphs.Interesting properties of elliptic and parabolic equations on the graphs and a Liouville type theorem are also derived.