共查询到19条相似文献，搜索用时 46 毫秒
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在纽结理论上,为分辨不同的纽结,我们发现并研究了几种与纽结相关的不变量及多项式,如Alexander多项式△(t),Jones多项式V(t),Conway多项式V(t),Homfly多项式PL(1,m),BLM/Ho多项式Q(t),Kauffman多项式或F(a,z)等等.文章中主要探讨他们之间的关系,并由其中一个多项式推导出另外一种或几种多项式. 相似文献
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通过利用Jones多项式的基本性质,(如纽结的Jones多项式的特殊值)来讨论交错纽结和常数项为0及1的8次整系数多项式之间的关系,在这里,我们给出了常数项为0及1的8次整系数多项式成为某一交错纽结的Jones多项式的充分必要条件. 相似文献
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利用正交多项式的性质给出了高斯辛系综中酉辛群上的随机矩阵特征多项式的相关函数和矩的简洁的行列式表示,且行列式的元为正交多项式。 相似文献
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先讨论基于Ｌａｇｕｅｒｒｅ多项式逼近、有连续Ｗｉｅｎｅｒ过程扰动的随机连续线性系统最小二乘参数估计，然后讨论Ｗｉｅｎｅｒ过程的Ｌａｇｕｅｒｒｅ多项式逼近值的相关性和最小二乘估计的有偏性，在此基础上，提出无偏一致的Ｍａｒｋｏｖ估计（最小方差估计）算法，仿真结果显示本文方法的有效性． 相似文献
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在数学学习过程中,常常遇到多项式因式分解问题,本文对一元多项式因式分解的方法进行了初步的探索,归纳了一元多项式因式分解的10种方法,给出具体实例,并对每种方法加以评论。 相似文献
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本文通过介绍几种相对复杂的多项式,包括对称多项式、交待多项式等,针对不同多项式的特点采取相应技巧求解,不但能够开阔学生视野,同时还可培养其洞察力与分析力。 相似文献
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多项式相位信号是一类非平稳信号,它主要用来建模与工程应用。对单个多项式相位信号先利用多项式拟合法原理估计出相位的最高阶数,再利用N阶消失矩的小波消去N-1阶多项式的基本理论,依次消去相位中不同阶次的项,最终完成多项式相位的系数估计。仿真实验证明,本文方法具有简单可行、准确率高的优点。 相似文献
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A sequence of tests on derived polynomials to be strictly Hurwitz polynomials is shown to be equivalent to a given (typically real) polynomial having all its zeros in an open sector, symmetric with respect to the real axis, in the left half-plane. The number of tests needed is at most 1 + ?(ln k)/(ln 3)?, where k is the integer associated with the central angle π/k of the sector. An extension of this result on the sector as a region of root clustering is given which shows that only a limited number of tests are needed to verify that the roots are clustered in a region composed as the intersection of a set of primative (sector-like) regions. The results reported evolve from application of a collection of mappings on the complex plane defined by a particular collection of Schwarz-Christoffel transformations. 相似文献
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多项式拟合方法在周跳探测中的应用改进 总被引：1，自引：0，他引：1
周跳探测与修复对提高载波相位定位精度具有重要的意义。将线性假设检验理论引入多项式拟合法周跳探测中,从而改进周跳探测传统采用的多项式拟合法。经过实验数据验证,取得良好的探测效果,具有一定的实用价值。 相似文献
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We investigate a new category of fuzzy-neural networks such as Hybrid Fuzzy Set-based Polynomial Neural Networks (HFSPNN). These networks consist of a genetically optimized multi-layer with two kinds of heterogeneous neurons such as fuzzy set-based polynomial neurons (FSPNs) and polynomial neurons (PNs). We have developed a comprehensive design methodology that helps determine the optimal structure of networks dynamically. The augmented genetically optimized HFSPNN (referred to as gHFSPNN) results in a structurally optimized structure and comes with a higher level of flexibility in comparison to the one we encounter in the conventional HFPNN. The GA-based design procedure being applied at each layer of gHFSPNN leads to the selection of preferred nodes (FSPNs or PNs) available within the HFSPNN. In the sequel, the structural optimization is realized via GAs, whereas the ensuing detailed parametric optimization is carried out in the setting of a standard least square method-based learning. The performance of the gHFSPNN is demonstrated through intensive experimentation where we use a number of modeling benchmarks—synthetic and experimental datasets are already being used in fuzzy or neurofuzzy modeling. 相似文献
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A crucial problem in the theory of stability is to determine whether or not all of the eigenvalues of a system matrix have negative real parts. The classical test is to form the characteristic polynomial of the given matrix and then apply the Routh-Hurwitz criterion, which involves evaluating certain determinants. A new approach is presented in this paper; the characteristic polynomial is not formed, though certain differential equations must be integrated (numerically). Results of some computational experiments are encouraging. 相似文献
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针对文献［１］中的模代数系统对多值逻辑的适应性定理，指出了多项式模代数系统对于基数为素数幂值逻辑的适应性 相似文献
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基尼系数的测算目前有分布函数法、几何计算法与曲线拟合法。本文推导出洛伦兹曲线的三次分段多项式样条函数拟合的简单表达式,再通过样条回归确定系数,从而可以比较精确地求出基尼系数,并在此基础上进行了实证分析,且计算结果比文献[6]的结果要精确。 相似文献
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In this study, a practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms of Taylor polynomials. The method converts the integro-differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique. 相似文献
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利用欧几里德算法和多项式环上的可逆线性变换，从理论上对多项式环上的一次不定方程组的解进行深入的研究，给出了用矩阵的初等变换求解多项式环上的一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序。 相似文献
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Nonlinear Burgers' equation is solved using polynomial based differential quadrature method (PDQ). Numerical simulations are studied for three well known test problems, namely shock-like solution, travelling wave and sinusoidal disturbance solutions of Burgers' equation. Obtained numerical results of the first and the third test problems are compared with some earlier numerical results. Discrete root mean square error norm and maximum error norm are computed for the first two test problems and a comparison with some earlier works is given. 相似文献