查询词典 tensor field

Prange first began to study cyclic codes over finite field in 1957 and Berkelamp first began to investigate negacyclic codes over finite field in 1968,but the codes over finite rings didnt received much attention until the 1990s due to the works of Nechaev in 1991 and Hammons in 1994,which showed that well-known nonlinear codes such as Kerdock and Preparata codes are constructed from linear codes over finite rings.

Prange(1957)和Berkelamp(1968)分别首先开始研究有限域上的循环码和负循环码，直到上世纪90年代，Nechaev(1991)和Hammons(1994)通过有限环上的线性码构造出著名的非线性码如Kerdock码和Preparata码，有限环上的码才受到广泛关注。

The problem of finding stabilizer quantum-error-correcting codes can be transformed into the problem of finding classical self-orthogonal linear codes over the Galois field GF(4) under a Hermitian inner product. A classical cyclic code over the field GF(4) is self-orthogonal with respect to the Hermitian inner product iff the generator polynomial of its dual code is a factor of its generator polynomial.

寻找量子稳定子码的问题可以转化为寻找GF(4)上厄米内积自正交的经典线性码的问题；对于GF(4)上的经典循环码，它是厄米内积自正交的，当且仅当它的对偶码的生成多项式是其生成多项式的因子。

In contrast to the experimental report by Cao and Evans, we found that the crack would extend under a cyclic electric field below the coercive field by the in-situ observation through a long focal length optical microscope.

不同于Cao和Evans的实验报道(矫顽电场以下，裂纹不发生扩展)，我们在通过长焦距显微镜实时观测了循环电场的幅值低于矫顽电场时，铁电陶瓷中疲劳裂纹扩展的规律。

ECC system makes use of the finite group of elliptic curve on the finite field instead of finite cyclic group used in the discrete logarithm problem. The theory of ECC is being studied a lot and it is the focus of the cryptography and the industrial estate, especially the technique of the implementation of ECC.In this thesis, the meaning of the information technology is discussed firstly, then we analyze the classical cryptography algoritham. After that, the mathematics base of elliptic curve cryptosytems are introduced, especially the theory of the finite field. As for some algorithms, we also give out the program of reliazation.

随后，介绍了研究椭圆曲线密码系统所需要的数学理论基础，特别是有限域中的椭圆曲线理论，并对相关的方法给出相应的实例及其程序实现；论文第三章讨论给出了椭圆曲线密码体制的研究现状，综述了椭圆曲线与现有一些密码算法的结合，介绍了椭圆曲线的离散对数问题以及椭圆曲线面临的攻击，详细描述了椭圆曲线密码系统的实现细节及各个部分的实验数据。

By decomposing the cyclotomic polynomial over a finite field, wegive the distribution of linear complexity for periodic sequences over the field, with some special cases discussed.

肖国镇 ，许春香，魏仕民通过对有限域上分圆多项式的分解，给出周期序列的线性复杂度的分布，并就几种特殊情况进行了讨论。

In rectangular microwave resonator, under the action of high frequency electro-magnetic field and inhomogeneous static magnetic field, the electron cyclotron resonance motion of the plasma electrons have been studied.

对矩形微波谐振腔中的等离子体，在高频电磁场和非均匀稳恒外磁场作用下的电子回旋共振运动进行了讨论。

By extending the VBG external cavity length, and inserting a convex cylindrical lens between external cavity and LDA for transmiting. Phase-locked of external cavity is achieved by tilting of Bragg Grating external cavity. Experiment studied the stability of the in-phase mode far-field output at 35A. Wavelength is locked at 802 nm. The Full-Width Half-Maximum of locked specrum narrowed to 0.2 nm and the corresponding far-field divergence angle is 1.8 mrad.

通过拉长VBG外腔腔长，在VBG外腔和LDA中间插入平凸柱面透镜，采用偏转体布拉格光栅外腔进行外腔锁相研究，在注入电流35A时，获得稳定的同相单瓣模远场输出，波长锁定在802nm，中心主瓣峰值半宽压窄到0.2nm，对应的远场发散角为1.8mrad。

Our company relates to optics wafer treating right away starting from the 80's, In the field of wafer treating have accumulated large amount of the special field experience developing、giving birth to a child and managing. Grasp the various optics wafer Flat surface、Spherical surface、Cylindrical surface complete set processing technology.

本公司自八十年代初就开始涉及光学晶片加工，在晶片加工方面积累了大量开发、生产及管理的专业经验，掌握各种光学晶片平面、球面、柱面的全套加工技术。

Two problems were solved in numerical calculation, one was that a term of 1/r in Maxwell was divergence in cylindrical center where r=0, another was that the value of optical field at cylindrical center was difficult to decided when the cylindrical center set as a boundary condition in Maxwell equation, So the values of optical field need just calculate from cylindrical center to cylindrical boundary, comparing from cylindrical boundary to cylindrical boundary, near upon half CPU time and RAM saved.

计算中解决了在圆柱中心线上Maxwell方程存在发散项1/r以及用圆柱中心线作为边界条件时，中心线上光场值难确定的问题，因而光场只需从圆柱中心计算到圆柱边界，和以圆柱的两条边做为边界条件比较，节省了将近一半的计算时间和计算机存储空间。

In order to simulate the propagation of cylindrical wave in space, the perfect Boundary connecting condition of total field and scattering field is proposed.

为了模拟柱面波在空间的传播，给出了在柱坐标系下完整的总场和散射场的连接边界条件。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。