Báo cáo toán học: "A Multiple Integral Evaluation Inspired by the Multi-WZ Method" potx

... symbolic, i.e. arbitrary, k, thereby fulfilling the hope raised in [Z98]. A Multiple Integral Evaluation Inspired by the Multi-WZ Method ∗ Akalu Tefera Department of Mathematics Temple University, ... is guaranteed by the fundamental theorem of the (continuous version of the) multi-WZ theory [WZ92]. Doron Zeilberger wrote a Maple implementation, TRIPLE INTEGRAL 2 ,th...

Ngày tải lên: 07/08/2014, 06:22

... also be further analyzed. The diagram of cAMP and CaM pathways for the LiP and MnP expression has been updated based on the present results (Fig. 6). Of course, there are many other regulating ... previous report (Sakamoto et al. 2010). Further study is required to determine whether the CaM has other functions including post-transcriptional effects on the expression of LiP and Mn...

Ngày tải lên: 20/06/2014, 20:20

... x) . (1:11) The existence and uniqueness of the operator Π C follow from the properties of the functional j(y, x) and strict monotonicity of the mapping J [17-21]. It is well known that the metric ... research was suppor ted by the Center of Excellence in Mathematics, the Commission on Higher Education, Thailand (under the project no.RG-1-53-03-2). Saewan and Kumam Fixed P...

Ngày tải lên: 20/06/2014, 21:20

... (however, for these we already have the sharp result of Theorem 1.2), but there are many others. One example is the balanced double star S k,k , that is obtained by taking two disjoint copies of the star ... 1.2 shows that the value of n 0 (k) in the statement of the theorem is O(k 2 ). Another thing to note is that, as long as p ≥ 2, the actual value of p is insignificant. Let...

Ngày tải lên: 07/08/2014, 06:20

... except the one coming from the reversal w i . Hence there are j − i − 1 of these. 3. All neighbors of type 3 except the one coming from the reversal w j . Hence there are n + 3 − j of these. Therefore ... corresponds to the vertices along the hypotenuse, L corresponds to the vertices along the left side (minus the top and bottom vertices), B corresponds to the vertices alo...

Ngày tải lên: 07/08/2014, 15:22

... First, they are derived from a mere knowledge of the degrees of the vertices involved in the perturbation. Second, they are the best possible, in the sense that we characterize the cases in which the ... connected. The spectrum of a square matrix is the set of its eigenvalues in the complex plane. The spectral radius is the maximum of the modulus of its eigenvalues....

Ngày tải lên: 08/08/2014, 14:23

... to this review article as they were all involved in the literature search, evaluation of the literature, writing and editing process. All authors read and approved the final manuscript. Competing ... clinical observation [34]. FAST has also been used by medical relief workers during multiple natural disasters in the past 2 decades, including the earthquake in Armenia in...

Ngày tải lên: 20/06/2014, 21:20

... #R19 1 The c λ,µ,ν go by the name of “Kronecker coeffici ents” and they may be interpreted as the multiplicity of the irreducible representation of S n indexed by λ in the tensor product of the irreducible ... will focus on the identities that reduce the computation of the Kronecker products of symmetric functions to ordinary products and thereby ultimately express the c...

Ngày tải lên: 08/08/2014, 01:20

... have x 0 − x n i  x 0 − z and by the weak lower semicontinuity of the norm and by the fact that x 0 − x n1 ≤ x 0 − z   for all n ≥ 0 which is implied by the fact that x n1  P C n1 x 0  ... Fixed Point Theory and Applications 3 where P C denotes the metric projection from H onto a closed convex subset C of H. They proved that if the sequence {α n } bounded above f...

Ngày tải lên: 21/06/2014, 20:20

... obtained by reading the positions of 1’s in M  — the right-hand part of M —, and w(r) is the the restriction of the tableau word corresponding to t λ ∪ r to the ribbon r. Therefore, by Theorem 5.3, ... #R2 14 As the size of the square is 4, and the length of the ribbon — 5, the classical numbering for the ribbon goes from 5 to 9 and is shown in Figure 3-a. Re-label...

Ngày tải lên: 07/08/2014, 13:21