Symplectic Geometry

A Construction of Authentication Code with Arbitration from Characteristic 2 Pseudo-symplectic Geometry

利用特征为2的伪辛几何构作一类新的带仲裁的认证码

A Construction of non-Cartesian Authentication Code from Symplectic Geometry

利用辛几何构作non-Cartesian认证码

In this paper, author makes use of symplectic geometry over finite field to construct Cartesian authentication code, presents a method of its construction, and at the same time, computes its size parameters and successful probability of impersonation attack and substitution attack.

本文利用有限域上辛几何构作了Cartesian认证码，给出了它的一个构造方法，计算了其容量参数、模仿攻击和替换攻击的成功概率。

Based on the Mindlin plate theory, and by modifying the mixed variational principle, the Hamilton canonical equation for the free vibration analysis of Mindlin plate is derived and the analytical solution is also deduced by the adjoint ortho-organization symplectic geometry method.

本文通过对混合能变分原理的修正，建立了Mindlin板动力学问题的Hamilton正则方程，并采用共轭辛正交归一关系给出固有频率分析的精确解。

In the present paper, two new constructions of Cartesian authentication codes from pseudo symplectic geometry are presented and their size parameters and their probabilities of successful impersonation attack and of successful substitution attack are computed.

本文利用有限域上的伪辛几何构作了两类Cartesian认证码，并且计算了它们的参数及成功的模仿攻击概率和成功的替换攻击概率。

An authentication code with arbitration is constructed from symplectic geometry, the parameters and the probabilities of deceptions of the code are also computed.

利用有限域上辛几何构作了一个新的带仲裁的认证码，计算出所构作码的参数及各种攻击成功的概率。

Using the symplectic geometry of first-class constraint systems, it is shown that only one kind of degeneracy of triads, namely type ( a), will never change in the time evolution.

辛几何的分析表明，只有标架的某类退化性（称为（a）类）才不会随时间演化而改变。

Construction of Cartesian Authentication Codes from Pseudo Symplectic Geometry

利用有限伪辛几何构造笛卡尔认证码

Applying the Hamilton system theory in electromagnetic field, symplectic geometry can be used in various anisotropic materials.

根据电磁波导的Hamilton体系理论，辛几何可用于任意各向异性材料。

Self-adjoint Domain of Dirac Operator with Symplectic Geometry Method

Dirac算子自伴域的刻划

Hamilton System and Symplectic Geometry Algorithms for the Shear Deformable Angle ply Laminated Plates

考虑剪切效应层合板的Hamilton体系及辛几何方法

It is proved by matrix technique and ways that affine Symplectic groups have double transition on the affine maximal and total isotropic subspaces over affine Symplectic geometry and their orbits are described.

利用矩阵的技巧和方法，证明了仿射辛群双可迁地作用在仿射辛几何中的仿射极大全迷向子空间上，并且给出了轨道的明确表示。

An Enumeration Theorem in Symplectic Geometry Over a Galois Field and the Construction of PBIB Designs

有限域上辛几何中的一个计数定理与PBIB设计的构作

Evaluating Sprinters'Surface EMG Signals Based on EMD and Symplectic Geometry

基于EMD和辛几何的运动员表面肌电信号分析与评价

In symplectic geometry space with the origin variables displacements, electric potential and magnetic potential, as well as their duality variables lengthways stress, electric displacement and magnetic induction, symplectic dual equations are employed.

在由原变量位移、电势和磁势以及它们的对偶变量纵向应力、电位移和磁感应强度组成的辛几何空间中，形成辛对偶方程组。

Construction of Authentication Codes with Arbitration from Pseudo-symplectic Geometry

基于伪辛几何的具有仲裁的认证码的构造

A Count Theorem in Pseudo Symplectic Geometry Over a Finite Field of Characteristic 2

特征为2域上伪辛几何中一个计数定理

In this paper, we mainly discuss the procedure for computing the rational cohomology of quotients group actions in symplectic geometry.

本文主要讨论辛几何中群作用的商的有理上同调的计算方法。

Construction of A 2 codes from symplectic geometry(ⅱ)

利用辛几何构作的几类A~2-码（Ⅱ）

This paper presents some recent research work and advances on systematic methodology for elasticity, ( I) A new orthogonality relationship is firstly proposed, and the related system of dual equations can be derived out directly without the concept of symplectic geometry;

本文介绍弹性力学对偶求解体系的近期研究和进展：（1）提出一种新的正交关系。不用辛几何的概念，直接导出对偶微分方程组；

The theoretical solution for rectangular thick plate with arbitrary boundary conditions is derived by symplectic geometry method.

利用辛几何法推导出了四边任意支承条件下矩形厚板弯曲的解析解。

Analytical solutions of thin plate with different boundaries under symplectic geometry form

辛几何形态下不同边界条件的薄板解析解

Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.

从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。

Symplectic Geometry Characterization of Self-Adjoint Domains for Symmetric Differential Operators in Direct Sum Spaces(ⅱ)

直和空间上对称微分算子自共轭域的辛几何刻画（Ⅱ）

A construction of Cartesian authentication code from symplectic geometry is given. Its size parameters and its probabilities of successful impersonation attack and of successful substitution attack, are computed respectively.

在有限域的辛几何上把已有的Cartesian认证码进行了推广，得到一类新的Cartesian认证码，并且计算了新认证码的参数及模仿攻击成功的概率和替换攻击成功的概率。

To Hamilton system, the algorithm of symplectic geometry has the merits of being able to copy the dynamic structure of Hamilton system and to keep the measure of phase plane.

对Hamilton系统，辛几何算法具有能复制Hamilton系统的动态结构并保持相平面上的测度的优点。

Algebraic Topology; Symplectic Geometry and Topology; Ordinary and Partial Differential Equations.

代数拓扑；辛几何与拓扑；常微分和偏微分方程。

Solute elastic rectangular thin plate by symplectic geometry method

弹性矩形薄板问题的辛几何法

Based on the analogies between plane elasticity and thin plate bending problem, the thin plate bending under symplectic geometry form was solved by direct method.

利用平面弹性与板弯曲的相似性理论，用直接法研究辛几何形态下的薄板弯曲问题。

Appearance of bogus symplectic space and extablishment of bogus symplectic geometry

论伪辛空间概念的形成与伪辛几何的建立