查询词典 functional determinant

The element permutations and values of the Vandermonde determinant have highly symmetry, which makes the determinant applied widely in mathematics.

Vandermonde行列式的元素排列和行列式的值都具有高度对称性，是一个具有广泛应用的行列式。

Keywords determinant; Vandermonde determinant; popularization

积极投票可以增加您的经验值，每票1分，每天上限20分

First,the determinant is regarded as a function of or- der n and denoted by D;Second,the determinant is expanded by row or by column,then the relation in both of Dand subdeterminants will be examined in details to set up certain a recursion,generally speaking,it must be a homogenous or a non homogenous recursion;fi- nally the coefficients of the general solution are found out with the aid.

给出了用递归关系方法求任意 n 阶行列式的值的一般方法：首先，把已知的 n 阶行列式看作为阶数 n 的一个函数，记为 D；其次，按行或按列展开这个行列式，并仔细观察存在于余子式及 D里的关系，建立关于 D的某一递归关系，此关系总为一个齐次的或非齐次的递归关系；最后，借助于 D(0)、D(1)和D(2)等求出递归关系的通解的系数。

We start by obtaining a flagged form of the Canchy determinant and establish a correspondence between this determinant and nonintersecting lattice paths, from which it follows that Cauchy identity on Schur functions.

首先我们得到了一个带标志的Cauchy行列式，建立了这个行列式和不交格路径丛的对应，从而得到了关于Schur函数的Cauchy等式。

The designing of this article first introduced the determinant keyboard's theory and application,through to analysis its connection electric circuit in very great detail ,and then used VHDL hardware description language and FPGA device to complete FPGA-based determinant keyboard connection electric circuit design with modular design mathod.

本文设计首先介绍行列式键盘的原理和应用，通过对其接口电路的详细分析；然后利用VHDL硬件描述语言和FPGA器件并采用模块化设计的方法完成了基于FPGA的行列式键盘接口电路的设计；最后通过计算机仿真，对本文设计的行列式键盘接口电路的正确性进行了验证。

In addition, functional dyspepsia, aerophagia, IBS, functional abdominal bloating, functional constipation, unspecified functional bowel disorder and gallbladder dysfunction were found related with GERD, the same as pilot survey.

另外发现功能性消化不良、吞气症、IBS、功能性腹胀、功能性便秘、非特异性功能性肠病、胆囊功能障碍与GERD关系密切，与预调查的结果一致。

The course will start with an overview of the central and peripheral nervous systems, the development of their structure and major divisions. The major functional components of the CNS will then be reviewed individually. Topography, functional distribution of nerve cell bodies, ascending and descending tracts in the spinal cord. Brainstem organization and functional components, including cranial nerve nuclei, ascending / descending pathways, amine-containing cells, structure and information flow in the cerebellar and vestibular systems. Distribution of the cranial nerves, resolution of their skeletal and branchial arch components. Functional divisions of the Diencephalon and Telencephalon. The course will then continue with how these various CNS pieces and parts work together.

这门课将会从中枢和周边神经系统构造的发展和主要的分化点来概述，中枢神经系统的主要功能将会在复习中个别地说明：神经细胞体的断层以及功能性的分布、脊髓内上升和下降神经束的特征学和功能分布；脑干组织和功能要素，包括脑神经核、上升和下降神经束走向、含胺基酸脑激素细胞的分布、小脑和内耳前庭系统的构造和资讯传导流；颅神经的分布、骨弓和腮弓的演化；间脑和终脑的功能与分类；这门课将会探讨这些不同的中枢神经系统如何一起作用。

objective to investigate the factors influencing the estrogen production of functional ovarian hyperandrogenism.methods 18 patients with functional ovarian hyperandrogenism were divided into two groups according to the number of the follicles measuring 2～8mm in diameter,one group had 8 to 11 follicles together in two lateral ovaries (named as foh ⅰ),and the other group had 12 to 24 (named as foh ⅱ).eight ovulatory females were recruited as controls.an ovary stimulation test with hcg and hmg was administered to evaluate the level of testosterone and estradiol (e2) in serum.then,the functional state and functional activity of aromatase were calculated.

目的 探讨功能性卵巢高雄患者雌激素合成的影响因素。方法 18例foh，患者分为2组：双侧小卵泡(φ2～8？mm)数量为8～11的为foh ⅰ组(9例)，数量为12～24的为foh ⅱ组(9例)。8名正常妇女作为对照组。用人绝经期促性腺激素(150？u)和绒毛膜促性腺激素(5000？u)进行卵巢兴奋试验，试验后3，8，12，18，24？h时检测血清睾酮和雌二醇(e2)水平，计算芳香化酶功能状态和活性。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

The main contribution of this paper is summarized as follow:1 Copolymer acrylate resin including hydroxyl, carboxylic and amina(-NH_2) is a new type of antifogging system and ahydrophi- lic antifogging constituents which is not found before.2 Water-soluble acrylate resin hydrophilic antifogging coating material is a new-type environmental protection material which takes ethanol as solvent and whose pastiness is adjusted by deionized water.3 The quality rate of accessory soft monomer ethyl acrylate and accessory hard monomer butyl methacrylate is 6 to 4, the quality rate of functional monomers in all monomers is 20 percent, the quality rate of MAA in the functional monomers is 22 percent, the quality rate of β-hydroxyl ethyl acrylate in the functional monomers is 8 to 10 percent and the remainder of functional monomer is acrylic acid.4 Cross-linking agent methylol acrylamide belongs to self-cross-linking system.

本文的主要贡献概述如下： 1 含有亲水羧基、羟基和氨基(-NH_2)丙烯酸共聚树脂是一种新型高效的防雾体系，用的亲水防雾组分是前所未有的。 2 以乙醇为溶剂制得水溶性丙烯酸树脂具有很好的水溶性能和防雾性能，只需加入去离子水就可以调节它的粘度，是一种新型的环保型防雾材料。 3 辅助软单体丙烯酸乙酯和辅助硬单体甲基丙烯酸甲酯最佳配比为质量比6∶4；官能单体占单体总量的20%，甲基丙烯酸占官能单体总量10～15%，甲基丙烯酸β-羟乙酯占官能单体总量的8～10%，剩下的为丙烯酸。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。