共查询到20条相似文献,搜索用时 62 毫秒
1.
Hiroshi Suzuki 《Graphs and Combinatorics》1991,7(4):363-375
Let be a distance regular graph with diameterd, and
d
() the set of vertices at distanced from. is said to be thin if the induced subgraph on
d
() is a union of cliques for every vertex. We show that the diameterd is bounded above by a function depending only onk
d, which is the cardinality of
d
(), if is not thin. We also investigate thin distance regular graphs witha
d 0. 相似文献
2.
R. Banys 《Acta Appl Math》2003,78(1-3):43-50
Subspaces D
of D[0,1] and of D[0,) are defined. With constructed metrics d
, D
are shown to be complete separable metric spaces. Conditions for tightness of probability measures in D
are given. 相似文献
3.
V. I. Vasyunin 《Journal of Mathematical Sciences》2003,115(2):2093-2099
If T is a completely nonunitary contraction on a Hilbert space and L is its invariant subspace corresponding to a regular factorization of its characteristic function = , then L is hyperinvariant if and only if the following two conditions are fulfilled: (1) supp * supp is of Lebesgue measure zero; (2) for every pair A H
(E E) and A
* H
(E
* E
*) intertwining by , i.e., such that A =A
*, there exists a function A
F H
(F F) intertwining with A by and with A
* by , i.e., such that A = A
F and A
F = A
*. Bibliography: 4 titles. 相似文献
4.
A. G. Pinus 《Mathematical Notes》1972,11(1):54-57
It is shown that if a linearly ordered set B does not contain as subsets sets of order type
and
*
then B can be embedded in 2
. We construct an example of a set satisfying the above conditions which cannot be embedded in any 2
if <
. Simultaneously we show that for any ordinal, 2
+1
cannot be embedded in 2
and that there exists at least
+1
distinct dense order types of cardinality 2
.Translated from Matematicheskie Zametki, Vol. 11, No. 1, pp. 83–88, January, 1972.In conclusion, I wish to take the opportunity to thank Yu. L. Ershov for kindness and assistance in this work. 相似文献
5.
P. Révész 《Probability Theory and Related Fields》1992,93(1):21-37
Summary We say that the discD()R
2, of radius , located around the origin isp-covered in timeT by a Wiener processW(·) if for anyzD() there exists a 0tT such thatW(t) is a point of the disc of radiusp, located aroundz. The supremum of those 's (0) is studied for which,D() isp-covered inT. 相似文献
6.
Characterization theorem of generalized polynomial of best approximation having bounded coefficients
Shusheng Xu 《应用数学学报(英文版)》1989,5(4):361-366
Let the set of generalized polynomials having bounded coefficients beK={p=
jgj.
j
j
j,j=1, 2, ...,n}, whereg
1,g
2, ...,g
n are linearly independent continuous functions defined on the interval [a, b],
j,
j are extended real numbers satisfying
j<+,
j>-, and
j
j. Assume thatf is a continuous function defined on a compact setX [a, b]. This paper gives the characterization theorem forp being the best uniform approximation tof fromK, and points out that the characterization theorem can be applied in calculating the approximate solution of best approximation tof fromK. 相似文献
7.
Summary LetB=(B
t,t0) be a planar Brownian motion and let >0. For anyt0, the pointz=B
t is called a one-sided cone point with angle if there exist >0 and a wedgeW(,z) with vertexz and angle such thatB
sW(,z) for everys[t, t+]. Burdzy and Shimura have shown independently that one-sided cone points with angle exist when >/2 but not when 2. The present paper deals with the critical case =/2. We show that cone points with angle /2 do not exist. 相似文献
8.
Živorad Tomovski 《Analysis Mathematica》2003,29(2):165-170
In this paper equivalent classes of the classes M'
and S'
p
r, p >1, 0,r {0,1,2,...,[]} defined by Sheng [5] are obtained. Then it is shown that the classes of Fourier coefficients S
p, S'
p(case r==0) and S
p(), p>1, defined by . V. Stanojevi, V. B. Stanojevi Sheng and the author of the present note are identical. As a corollary of this result, the L
1-estimate for cosine series, obtained in [10], is refined. 相似文献
9.
René P. Sperb 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1972,23(2):231-244
Zusammenfassung Es werden untere und obere Schranken für den tiefsten Eigenwert 1() der elastisch gestützten schwingenden Membran hergeleitet. Die elastische Bindung der Membran am Rande wird durch charakterisiert, und wird als Parameter betrachtet.Die Verwendung des klassischen Rayleigh-Prinzipes liefert obere Schranken, mit Hilfe eines konvexen FunktionalsJ() erhält man obere und untere Schranken. Eine Zerlegungsmethode endlich gibt eine untere Schranke für 1().
Neu-Technikum, Buchs SG 相似文献
Summary This article is concerned with the determination of upper and lower bounds for the lowest eigenvalue 1() of the elastically supported vibrating membrane. The elastic support on the boundary is characterized by which is regarded as a parameter.The classical Rayleigh-Principle gives upper bounds. The use of a convex functionalJ() yields upper and lower bounds for 1(). A method of decomposition leads to a lower bound for 1().
Neu-Technikum, Buchs SG 相似文献
10.
R
n. , , , F R
n, F , R
n R
n .
p,q
(Rn), >0, 1, q, — ( ) Rn. ,
p,q
(Rn) F Rn. , q B
p,q
(F), = – (n–)/, >0, — « », ad — F, . , . : , F=R
d,F— « » F— R
n, « », F. .
This work has been supported in part by the Swedish Natural Science Research Council. 相似文献
This work has been supported in part by the Swedish Natural Science Research Council. 相似文献
11.
Zenon Moszner 《Aequationes Mathematicae》1989,37(2-3):267-278
Résumé En généralisant un résultat de J. Aczél et M. Hosszú on donne des conditions nécessaires et suffisantes pour qu'une solution de l'équation de translationF(F(, x), y) = F(, xy), oùF: × G , est un ensemble arbitraire,G forme un groupe, soit de la formeF(, x) = f
–1(f()·1(x)), oùf est une bijection de au groupeG
1 isomorphe avecG et 1 est un homomorphisme deG àG
1. On considère aussi le cas oùG forme un espace vectoriel sur le corps des nombres rationels.Si est un intervalle ayant plus qu'un point etG = R
m
avec l'addition comme l'opération on trouve des conditions pour que la fonction continueF soit de la formeF(, x
1,, x
m
) =f
–1(f() + c
1
x
1 + +c
m
x
m
), oùf est une homéomorphie de àR et (c
1,,c
m
) R
m
.
相似文献
相似文献
12.
S. V. Solov'ev 《Journal of Mathematical Sciences》1982,20(4):2367-2369
We consider the (&, )-fragment of the intuitionistic propositional calculus. It is proved that under the standard transformation of a Gentzen derivation into a natural derivation(), the length of (())22·length(
). There is constructed a sequence of Gentzen derivations of length i, for which the length of ((
i))21/3·length(i), which shows that the upper bound obtained is not too weak.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 88, pp. 192–196, 1979. 相似文献
13.
In this paper equivalent classes of the classes M and S
pr
, p > 1, > 0. r { 0,1,2, ... ,[]} defined by Shuyun [3] are obtained. Then, it is shown that the class S
pr
, 1 > p 2, 0, r {0,1,2,...,[]} is a subclass of BVC
r
, where S
pr
is the equivalent class of the Shuyun's class S
pr
, BV is the class of null sequences of bounded variation and C
r
is the extension of the Garrett--Stanojevic class. As a corollary of this result, we have obtained the theorem, proved in [7]. 相似文献
14.
S. I. Novikov 《Analysis Mathematica》1992,18(1):73-86
n
(D) — ,s —
n
(D),
v
(v=1, 2, ...,s/2) — .
m={0x
0<x
1<...<x
2m–1<2,x
2m
=x
0+2} , x
j
+1–x
j
<(4s max
v
)–1,j=0, 1, ..., 2m –1, ( ) 2- -
n,m
2m ,
m
. , L
q
- (1q) W
(
n
)={f
2
:f
(n–1)AC
2
,
n
(D)f 1} 2- - (s
n
f),
m
. , - -
n,m
.
The author expresses his gratitude to Yu. N. Subbotin for a useful discussion on the results of this paper. 相似文献
The author expresses his gratitude to Yu. N. Subbotin for a useful discussion on the results of this paper. 相似文献
15.
W. Senn 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1991,42(4):527-546
We consider regular and Cantor-like minimal foliations of the (n+1)-dimensional TorusT
n+1
whose leaves minimize a given variational integral. Each leaf of such a generalized foliation lies in the universal coveringR
n+1 within a finite distance to the affine leaves (z, x+) of fixed R
n
. We show that the conjugation-functionU
(x,), mapping the affine leaves (x, x+) into the leaves(x,U
(x,x+)) of the generalized foliation, is itself a minimal solution of an extended degenerate variational problem onT
n
+1. If R
n
/Q
n
the functionU
is characterized in a unique way as (discontinuous) limit of the minimal solutions of the corresponding regularized problem. 相似文献
16.
H. Roloff 《Journal of Mathematical Sciences》1984,27(4):2968-2974
Over a commutative ring R with invertible element 2 and with radical , nets (i.e., tables =(ij) of ideals ij such that irrj ij) such that
ii
are considered. Such nets are called pseudoradical. The groups of the lower central series and the derived series are explicitly constructed for the corresponding net subgroups G () (of the general linear group GL (n,R)) in terms of .Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 180–186, 1982. 相似文献
17.
D. Plachky 《Journal of Theoretical Probability》1992,5(3):577-584
Let (,A,P) denote some probability space and some sub--algebra ofA. It is shown that there exists a semiregular versionQ
(A),A, , of the conditional distributionP(A|), AA, i.e., Q
(A), (AA fixed) is andAQ
(A),AA ( fixed), is a probability charge satisfyingQ
(N)=0, , for allP-zero setsN, if and only ifL
1(,P|) has a lifting, which exists for any sub--algebra ofA ifL
1(,A
P) is separable. Separability ofL
1(,A,P) implies also the existence of a strongly semiregular versionQ
(A),A, , ofP(A|), A , i.e., Q
(A), (AA fixed), is -measurable andAQ
(A),A ( fixed), is a probability charge. Furthermore,P can be written as P
1+(1–)P
2, 01, whereP
1 are probability measures onA such thatP
1(A|),AA, has a semiregular version vanishing for anyP-zero setN andP
2 is singular with respect to any probability measure onA of the type ofP
1. In the case 0<<1 the probability measuresP
j
,j=1, 2, are uniquely determined. The decomposition can be carried over to the case, where the additional condition thatQ
(N)=0 for all and anyP-zero setN is valid, is omitted respectively semiregularity is replaced by (i) strong semiregularity, or (ii) classical regularity. In the last mentioned case (ii) the decomposition is multiplicative. 相似文献
18.
Jan -Cees van der Meer Richard Cushman 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1986,37(3):402-424
Summary Consider a Hamiltonian system (H, 2n
,). LetM be a symplectic submanifold of (2n
,). The system (H, 2n
,) constrained toM is (HM, M, M). In this paper we give an algorithm which normalizes the system on 2n
in such a way that restricted toM we have normalized the constrained system. This procedure is then applied to perturbed Kepler systems such as the lunar problem and the main problem of artificial satellite theory.
Zusammenfassung Wir betrachten ein Hamiltonisches System (H, 2n ,). SeiMein symplectisches Submanifold von (2n ,). Das System (H, 2n ,), aufM beschränkt, ist (HM,M,M). In der vorliegenden Arbeit wird ein Algorithmus vorgeschlagen, der dieses System so auf 2n normalisiert, daß das aufM beschränkte System auch normalisiert ist. Dieser Algorithmus wird dann auf gestörte Keplersysteme, wie z. B. das Hill-sche Mondproblem und das Hauptproblem der Theorie der künstlichen Satelliten, angewendet.相似文献
19.
Donald I. Cartwright Anna Maria Mantero Tim Steger Anna Zappa 《Geometriae Dedicata》1993,47(2):167-223
If (P, L) is a projective plane and is a triangle presentation compatible with a point-line correspondence :P L, then gives rise to a group and a thick building of typeÃ
2 on the vertices of which acts simply transitively. We find all triangle presentations (up to natural equivalence) compatible with some point-line correspondence :P L, when (P, L) is the projective plane of orderq=2 orq=3. For some, but not all, of these , is isomorphic to the building associated withG=PGL(3,K) whereK is a local field with discrete valuation and residual field of orderq. We identify the for which this is the case, and in these cases, find embeddings of intoG. We also describe the arithmetic nature of these groups. 相似文献
20.
L. I. Bausov 《Mathematical Notes》1968,4(2):612-617
Let Cn (, ) be the upper bound for deviations of periodic functions which form the Zygmund class Z,0 0<<2 from a class of positive linear operators. A study is made of the conditions under which there exists a limit
nCn(, )=C(, ). An explicit expression is given for the functions C(,).Translated from Matematicheskie Zametki, Vol. 4, No. 2, pp. 201–210, August, 1968. 相似文献