نتایج جستجو برای: quartic mapping

تعداد نتایج: 202026  

2008
M. Eshaghi Gordji A. Ebadian S. Zolfaghari M. Eshaghi

In this paper, we obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation 4(f(3x + y) + f(3x− y)) = −12(f(x + y) + f(x− y)) + 12(f(2x + y) + f(2x− y))− 8f(y)− 192f(x) + f(2y) + 30f(2x).

2000
George Boros Victor H. Moll Sarah Riley

We provide an elementary evaluation for the integral

2007
Andreas-Stephan Elsenhans Jörg Jahnel

For the family a0x 4 = a1y +a2z +a3v +a4w 4, a0, . . . , a4 > 0, of diagonal quartic threefolds, we study the behaviour of the height of the smallest rational point versus the Tamagawa type number introduced by E. Peyre.

Journal: :Computers 2016
Xiaowu Li Zhinan Wu Linke Hou Lin Wang Chunguang Yue

We present an accurate method to compute the minimum distance between a point and an elliptical torus, which is called the orthogonal projection problem. The basic idea is to transform a geometric problem into finding the unique real solution of a quartic equation, which is fit for orthogonal projection of a point onto the elliptical torus. Firstly, we discuss the corresponding orthogonal proje...

2008
KEIJI OGUISO K. OGUISO

We shall characterize the Fermat quartic K3 surface, among all K3 surfaces, by means of its finite group symmetries.

2008
T. D. BROWNING

Let X be a projective non-singular quartic hypersurface of dimension 39 or more, which is defined over Q. We show that X(Q) is non-empty provided that X(R) is non-empty and X has p-adic points for every prime p.

2008
M. Bavand

We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation f(kx + y) + f(kx − y) = k[f(x + y) + f(x − y)] + 2(k − k)f(x) for all k ∈ N and the quartic functional equation f(kx + y) + f(kx − y) = k[f(x + y) + f(x − y)] + 2k(k − 1)f(x)− 2(k − 1)f(y) for all k ∈ N in non-Archimedean normed spaces.

2014
M. Eshaghi Gordji M. Rassias Victor M. Perez Garcia

and Applied Analysis 3 In 2008, Gordji et al. 17 provided the solution as well as the stability of a mixed type cubic-quartic functional equation. We only mention here the papers 19, 32, 33 concerning the stability of the mixed type functional equations. In this paper, we deal with the following general cubic-quartic functional equation: f ( x ky ) f ( x − ky) k2(f(x y) f(x − y)) 2 ( 1 − k2 ) f...

1994
Franz Lemmermeyer

In 1985, K. S. Williams, K. Hardy and C. Friesen [11] published a reciprocity formula that comprised all known rational quartic reciprocity laws. Their proof consisted in a long and complicated manipulation of Jacobi symbols and was subsequently simplified (and generalized) by R. Evans [3]. In this note we give a proof of their reciprocity law which is not only considerably shorter but also she...

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