共查询到20条相似文献,搜索用时 265 毫秒
1.
2.
研究二阶多项式系统所确定的通过固定奇点的解.利用牛顿图法研究了这种解在固定奇点处的幂级数展开式,给出有无穷多个解通过固定奇点的判据,并在只有有限个解通过固定奇点的情况下,给出了过固定奇点的解个数的上界. 相似文献
3.
研究二阶多项式系统所确定的通过固定奇点的解.利用牛顿图法研究了这种解在固定奇点处的幂级数展开式,给出有无穷多个解通过固定奇点的判据,并在只有有限个解通过固定奇点的情况下,给出了过固定奇点的解个数的上界. 相似文献
4.
5.
6.
7.
8.
Bernoulli多项式的积分多项式 总被引:2,自引:2,他引:0
首次研究了 Bernoulli多项式的积分多项式 .首先 ,给出这类多项式的定义和基本性质 ;其次 ,建立两类幂和多项式的相互关系 ;最后 ,介绍上述结果在求解自然数幂和公式方面的应用 . 相似文献
9.
利用置换多项式理论的有关结果,给出了有限域F16上线性化的正形置换多项式的具体表示形式及计数,其中得出其个数为1604. 相似文献
10.
11.
In this paper, we use quartic B-spline to construct an approximating function to agree with the given integral values of a univariate real-valued function over the same intervals. It is called integro quartic spline interpolation. Our interpolation method is new and easy to implement. Moreover, it can work successfully even without any boundary conditions. The interpolation errors are studied. The super convergence (sixth order and fourth order, respectively) in approximating function values and second-order derivative values at the knots is proved. Numerical examples illustrate that our method is very effective and our integro-interpolating quartic spline has higher approximation ability than others. 相似文献
12.
Peter Strobach 《Journal of Computational and Applied Mathematics》2010,234(10):3007-99
A fast and highly accurate algorithm for solving quartic equations is introduced. This new algorithm is more than six times as fast and several times more accurate than the quasi-standard Companion matrix eigenvalue quartic solver. Moreover, the method is exceptionally robust in cases of extreme root spread. The new algorithm is based on a factorization of the quartic in two quadratics, which are solved in closed form. The performance key at this point is a fixed-point iteration based fitting algorithm for backward optimization of the underlying quartic-to-quadratic polynomial decomposition. Detailed experimental results confirm our claims. 相似文献
13.
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented. 相似文献
14.
Salvatore Giuffrida 《manuscripta mathematica》1989,65(4):395-411
The Riemann-Roch problem for divisors on a smooth surface in 3 is studied. This problem is solved for some smooth quartic surfaces which are called Mori quartics; as a consequence the Hilbert function of any integral curve on a Mori quartic is determined. 相似文献
15.
Nguyen Ngoc Dong Quan 《Monatshefte für Mathematik》2012,168(2):191-214
We give a sufficient condition using the Brauer?CManin obstruction under which certain quartic curves have no rational points. Using this sufficient condition, we construct two families of genus one quartic curves violating the Hasse principle explained by the Brauer?CManin obstruction. 相似文献
16.
The quartic curve of Han [X. Han, Piecewise quartic polynomial curves with shape parameter, Journal of Computational and Applied Mathematics 195 (2006) 34–45] can be considered as the generalization of the cubic B-spline curve incorporating shape parameters into the polynomial basis functions. We show that this curve can be considered as the linear blending of the original cubic B-spline curve and a fixed quartic curve. Moreover, we present the Bézier form of the curve, which is useful in terms of incorporating the curve into existing CAD systems. Geometric effects of the alteration of shape parameters is also discussed, including design oriented computational methods for constrained shape control of the curve. 相似文献
17.
We describe the computation of extended tables of degree 8 fields with a quartic subfield, using class field theory. In particular we find the minimum discriminants for all signatures and for all the possible Galois groups. We also discuss some phenomena and statistics discovered while making the tables, such as the occurrence of 11 non-isomorphic number fields having the same discriminant, or several pairs of non-isomorphic number fields having the same Dedekind zeta function.
18.
A parabolic acceleration time integration method for structural dynamics using quartic B-spline functions 总被引:1,自引:0,他引:1
In this paper, an explicit time integration method is proposed for structural dynamics using periodic quartic B-spline interpolation polynomial functions. In this way, at first, by use of quartic B-splines, the authors have proceeded to solve the differential equation of motion governing SDOF systems and later the proposed method has been generalized for MDOF systems. In the proposed approach, a straightforward formulation was derived in a fluent manner from the approximation of response of the system with B-spline basis. Because of using a quartic function, the system acceleration is approximated with a parabolic function. For the aforesaid method, a simple step-by-step algorithm was implemented and presented to calculate dynamic response of MDOF systems. The proposed method has appropriate convergence, accuracy and low time consumption. Accuracy and stability analyses have been done perfectly in this paper. The proposed method benefits from an extraordinary accuracy compared to the existing methods such as central difference, Runge–Kutta and even Duhamel integration method. The validity and effectiveness of the proposed method is demonstrated with four examples and the results of this method are compared with those from some of the existent numerical methods. The high accuracy and less time consumption are only two advantages of this method. 相似文献
19.
Moa Apagodu 《The Ramanujan Journal》2011,24(2):147-150
We present a new single sum series evaluation of Moll??s quartic integral and present two new generalizations. 相似文献
20.
Stephen Coughlan 《Geometriae Dedicata》2014,172(1):155-177
We give an explicit construction for the extension of a symmetric determinantal quartic K3 surface to a Fano sixfold. Remarkably, the moduli of the sixfold extension are in one-to-one correspondence with the moduli of the quartic surface. As a consequence, we determine a 16-parameter family of surfaces of general type with \(p_g=1, q=0\) and \(K^2=2\) as weighted complete intersections inside Fano sixfolds. 相似文献