共查询到10条相似文献,搜索用时 156 毫秒
1.
Gonchar V. Yu. Tanatarov L. V. Chechkin A. V. 《Theoretical and Mathematical Physics》2002,131(1):582-594
The properties of stationary solutions of the one-dimensional fractional Einstein--Smoluchowski equation with a potential of the form x
2m+2, m=1,2,..., and of the Riesz spatial fractional derivative of order , 12, are studied analytically and numerically. We show that for 1<2, the stationary distribution functions have power-law asymptotic approximations decreasing as x
–(+2m+1) for large values of the argument. We also show that these distributions are bimodal. 相似文献
2.
F. Schipp 《Analysis Mathematica》1990,16(2):135-141
H={h
1,I } — , . : , I ¦(I)¦=¦I¦, ¦I¦ — I. H H
={h
(I),I} . , , . L
p
.
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
Dedicated to Professor B. Szökefalvi-Nagy on his 75th birthday
This research was supported in part by MTA-NSF Grants INT-8400708 and 8620153. 相似文献
3.
Richard Warlimont 《Monatshefte für Mathematik》1977,83(1):59-63
The following theorem is going to be proved. Letp
m
be them-th prime and putd
m
:=p
m+1–p
m
. LetN(,T), 1/21,T3. denote the number of zeros =+i of the Riemann zeta function which fulfill and ||T. Letc2 andh0 be constants such thatN(,T)T
c(1–)
(logT)
h
holds true uniformly in 1/21. Let >0 be given. Then there is some constantK>0 such that
相似文献
4.
D. V. Leladze 《Analysis Mathematica》1991,17(4):281-295
n- (n1) fL
p
([–, ]
n
),=1 = (L
C) . , , f([–, ]
n
). 相似文献
5.
Carlos Gutierrez Marco-Antonio Teixeira 《Bulletin of the Brazilian Mathematical Society》1995,26(1):57-66
Let >0 andX be aC
1 vector field on the plane such that: (i) for allq2, Det(DX(q))>0; and (ii) for allp2, with p, Trace(D(X(p))<0. IfX has a singularity and
2 Trace(DX)dxdy is less than 0 (resp. greater or equal than 0), then the point at infinity of the Riemann sphere 2{} is a repellor (resp. an attractor) ofX. 相似文献
6.
André Adler Andrew Rosalsky Andrej I. Volodin 《Journal of Theoretical Probability》1997,10(3):605-623
For a sequence of constants {a
n,n1}, an array of rowwise independent and stochastically dominated random elements { V
nj, j1, n1} in a real separable Rademacher type p (1p2) Banach space, and a sequence of positive integer-valued random variables {T
n, n1}, a general weak law of large numbers of the form
is established where {c
nj, j1, n1},
n , b
n are suitable sequences. Some related results are also presented. No assumption is made concerning the existence of expected values or absolute moments of the {V
nj, j1, n1}. Illustrative examples include one wherein the strong law of large numbers fails. 相似文献
7.
Hiroaki Taniguchi 《Geometriae Dedicata》2000,80(1-3):99-123
Let k, K be fields, and assume that |k| 4 and n, m 2, or |k| = 3 and n 3, m 2. Then, for any embedding of AG(n, k) into PG(m, K), there exists an isomorphism from k into K and an (n+1) × (m+1) matrix B with entries in K such that can be expressed as (x1,x2,...,xn) = [(1,x1
,x2
,...,xn
)B], where the right-hand side is the equivalence class of (1,x1
,x2
,...,xn
)B. Moreover, in this expression, is uniquely determined, and B is uniquely determined up to a multiplication of element of K*. Let l 1, and suppose that there exists an embedding of AG(m+l, k) into PG(m, K) which has the above expression. If we put r = dim
k
K, then we have r 3 and m > 2 l-1)/(r-2). Conversely, there exists an embedding of AG(l+m, k) into PG(m, K) with the above expression if K is a cyclic extension of k
with dim
k
K=r 3, and if m 2l/(r-2) with m even or if m 2l/(r-2) +1 with m odd. 相似文献
8.
We prove that the Veronese embedding
O
n
(d):
n
N
with n2, d3 does not satisfy property N
p (according to Green and Lazarsfeld) if p3d–2. We make the conjecture that also the converse holds. This is true for n=2 and for n=d=3. 相似文献
9.
John S. Caughman IV 《Journal of Algebraic Combinatorics》2002,15(3):223-229
Let denote a bipartite distance-regular graph with diameter D 3 and valency k 3. Suppose 0, 1, ...,
D
is a Q-polynomial ordering of the eigenvalues of . This sequence is known to satisfy the recurrence
i – 1 –
i
+
i + 1 = 0 (0 > i > D), for some real scalar . Let q denote a complex scalar such that q + q
–1 = . Bannai and Ito have conjectured that q is real if the diameter D is sufficiently large.We settle this conjecture in the bipartite case by showing that q is real if the diameter D 4. Moreover, if D = 3, then q is not real if and only if 1 is the second largest eigenvalue and the pair (, k) is one of the following: (1, 3), (1, 4), (1, 5), (1, 6), (2, 4), or (2, 5). We observe that each of these pairs has a unique realization by a known bipartite distance-regular graph of diameter 3. 相似文献
10.
For the general fixed effects linear model:Y=X+, N(0,V),V0, we obtain the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS in the class of all estimators under the loss function (d -S)D(d -S), whereD0 is known. For the general random effects linear model:
=XV
11
X+XV
12+V
21
X+V
220, we also get the necessary and sufficient conditions forLY+a to be admissible for a linear estimable functionS+Q in the class of all estimators under the loss function (d -S -Q)D(d -S -Q), whereD0 is known. 相似文献