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1.
Teruhiro Shirakura Shinsei Tazawa 《Annals of the Institute of Statistical Mathematics》1992,44(1):185-196
In the absence of four-factor and higher order interactions, we present a series of search designs for 2m factorials (m6) which allow the search of at most k (=1,2) nonnegligible three-factor interactions, and the estimation of them along with the general mean, main effects and two-factor interactions. These designs are derived from balanced arrays of strength 6. In particular, the nonisomorphic weighted graphs with 4 vertices in which two distinct vertices are assigned with integer weight (13), are useful in obtaining search designs for k=2. Furthermore, it is shown that a search design obtained for each m6 is of the minimum number of treatments among balanced arrays of strenth 6. By modifying the results for m6, we also present a search design for m=5 and k=2. 相似文献
2.
Horst Elmar Winkelnkemper 《Annals of Global Analysis and Geometry》1992,10(3):209-218
Let
t
be the flow (parametrized with respect to arc length) of a smooth unit vector field v on a closed Riemannian manifold M
n
, whose orbits are geodesics. Then the (n-1)-plane field normal to v, v, is invariant under d
t
and, for each x M, we define a smooth real function
x
(t) : (1 +
i
(t)), where the i(t) are the eigenvalues of AA
T, A being the matrix (with respect to orthonormal bases) of the non-singular linear map d2t
, restricted to v at the point x
-t M
n.Among other things, we prove the
Theorem (Theorem II, below). Assume v is also volume preserving and that
x
'
(t) 0 for all x M and real t; then, if
x
t
: M M is weakly missng for some t, it is necessary that vx 0 at all x M. 相似文献
3.
Bruno Gabutti 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1984,35(3):265-281
Summary Considerf+
ff+ (1–f2)+
f=0 together with the boundary conditionsf(0)=f(0)=0,f ()=1. If=–1,>0, arbitrary there is at least one solution which satisfies 0<f<1 on (0, ). By the additional conditionf>0 on (0, ) or, alternately 0<1, the uniqueness of the solution is demonstrated.If=1,<0, arbitrary the existence of solutions for which –1<f<0 in some initial interval (0,t) and satisfying generallyf>1 is established. In both problems, bounds forf (0) and qualitative behavior of the solutions are shown.
Sommario Si consideri il problema definito dall'equazionef+ f f+ (1–f2)+ f=0 e dalle condizioni al contornof(0)=f (0)=0,f()=1. Assumendo=–1,>0, arbitrario si dimostra che esiste almeno una soluzione che soddisfa 0<f<1 nell'intervallo (0, ). Se in aggiunta si ipotizzaf>0 in (0, ), oppure 0<=1, l'unicità délia soluzione è assicurata.Successivamente si considéra il problema di valori al contorno con=1,<0, arbitrario. In questo caso esiste un'intera classe di soluzioni che soddisfano –1<f<0 in un intorno dell'origine e tali chef>1, in generale.Di detti problemi viene studiato il comportamento délle soluzioni e vengono determinate dalle maggiorazioni e minorazioni del valoref(0).相似文献
4.
Franz Kinzl 《Monatshefte für Mathematik》1979,87(2):109-121
LetS be a locally compact semigroup. It is shown that if a measure is absolutely continuous and ifS is cancellative, then the measure concentrated on a Borel subsetB ofS (i. e. =(B.)) is also absolutely continuous. Other properties of absolutely continuous measures will be obtained. Moreover we will answer the question when absolutely continuous probability measures exist. This is the case ifS admits an invariant integral on the space of all continuous functions onS with compact support. Another result is the following: If the compact semigroupS has a connected kernel then there exist absolutely continuous probability measures if and only ifS is amenable. 相似文献
5.
In this paper we first show that if X is a Banach space and is a left invariant crossnorm on lX, then there is a Banach lattice L and an isometric embedding J of X into L, so that I J becomes an isometry of lX onto lm J(X). Here I denotes the identity operator on l and lm J(X) the canonical lattice tensor product. This result is originally due to G. Pisier (unpublished), but our proof is different. We then use this to prove the main results which characterize the Gordon–Lewis property GL and related structures in terms of embeddings into Banach lattices. 相似文献
6.
J. Lippus 《Analysis Mathematica》1984,10(3):213-231
- ()N2,L
F
(
) — , 2- , {s
m()
f} -L.
— . (L
F(
),L
F(
) ={(k)} (kZ2) , fLF(
) f
,
, L
F(
). - ={()} ={()} , n(())m()n(()+())
. R() , ..
- . , . (L
F
(
),L
F
(
)) , R(,)=O(1) (x).
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
The author wishes to express his gratitude to S. A.Teljakovski for setting the problem and for his attention to this paper. 相似文献
7.
In this paper we consider a special kind of binary trees where each right edge is associated with a positive number and each left edge with a positive number( ). Given, and the number of nodesn, an optimal tree is one which minimizes the total weighted path length. An algorithm for constructing an optimal tree for given, , n is presented, based on which bounds for balances and total weighted path lengths of optimal trees are derived. 相似文献
8.
G. M. Tashchiyan 《Journal of Mathematical Sciences》1994,72(6):3467-3480
We consider the operation of convolution with a homogeneous function in m
that has a discontinuity on the subspace
m–n
, 1 n m–1.We exhibit a scale of weighted function spaces in which the convolution is continuous. The weight function is taken as a certain power of the distance to m–n.Bibliography: 5 titles.
Translated fromProblemy Matematicheskogo Analiza, No. 12, 1992, pp. 186–213. 相似文献
9.
Wilderich Tuschmann 《Geometriae Dedicata》1997,67(1):107-116
We present a first structure theorem for compact simply connected positively curved manifolds with arbitrarily small pinching constants: For each nN and 0<1, there exists a positive number V = V(n,) such that if (M,g) is a compact simply connected n-dimensional Riemannian manifold with sectional curvature 0相似文献
10.
Bolesław Gaweł 《Aequationes Mathematicae》1996,52(1):55-71
Summary In the paper we consider, from a topological point of view, the set of all continuous functionsf:I I for which the unique continuous solution:I – [0, ) of(f(x)) (x, (x)) and(x, (x)) (f(x)) (x, (x)), respectively, is the zero function. We obtain also some corollaries on the qualitative theory of the functional equation(f(x)) = g(x, (x)).
No assumption on the iterative behaviour off is imposed. 相似文献
11.
. , , . . 相似文献
12.
Martin Bokler 《Designs, Codes and Cryptography》2001,24(2):131-144
In this paper minimal m-blocking sets of cardinality at most
in projective spaces PG(n,q) of square order q, q 16, are characterized to be (t, 2(m-t-1))-cones for some t with
. In particular we will find the smallest m-blocking sets that generate the whole space PG(n,q) for 2m n m. 相似文献
13.
Let A Mn
(C) and let the inverse matrix B = A–1
be block diagonally dominant by rows (columns) w.r.t. an m × m block partitioning and a matrix norm. We show that A possesses a block LU factorization w.r.t. the same block partitioning, and the growth factor for A in this factorization is bounded above by 1 + , where = max
1im i and i, 0 i 1, are the row (column) block dominance factors of B. Further, the off-diagonal blocks of A (and of its block Schur complements) satisfy the inequalities
Bibliography: 4 titles._________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 15–26. 相似文献
14.
A. R. Alimov 《Functional Analysis and Its Applications》2005,39(1):1-8
A subset M of a normed linear space X is called a Chebyshev set if each x X has a unique nearest point in M. We characterize Chebyshev sets in (n) in geometric terms and study the approximative properties of sections of Chebyshev sets, suns, and strict suns in (n) by coordinate subspaces.__________Translated from Funktsionalnyi Analiz i Ego Prilozheniya, Vol. 39, No. 1, pp. 1–10, 2005Original Russian Text Copyright © by A. R. AlimovSupported by RFBR grant No.02-01-00248.Translated by A. R. Alimov 相似文献
15.
J. Gani 《Annals of Operations Research》1987,8(1):207-215
This note begins by reviewing the Kermack-McKendrick and Whittle Threshold Theorems for the general epidemic. It then extends these results to the case of the general epidemic with bunching where thexy homogeneous mixing term is replaced byxy/(x+y), 01.Research supported by Office of Naval Research Contract N00014-84-K-0568. 相似文献
16.
17.
Professor A. Ionescu Tulcea Professor C. Ionescu Tulcea 《Probability Theory and Related Fields》1969,13(2):114-118
Summary In this paper we extend the notion of lifting from real-valued functions to abstract-valued functions (functions with values in a completely regular space). We prove the existence and uniqueness of the abstract lifting associated with a given real lifting. As an application we show that given a stochastic process with values in a completely regular space, the modification of this process obtained by applying a lifting is always separable.Research supported by the U.S. Army Research Office (Durham) under contract DA-31-124-ARO(D)-288. 相似文献
18.
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
19.
LetG be a cyclicallyk-edge-connected cubic graph withk 3. Lete be an edge ofG. LetG be the cubic graph obtained fromG by deletinge and its end vertices. The edgee is said to bek-removable ifG is also cyclicallyk-edge-connected. Let us denote by S
k
(G) the graph induced by thek-removable edges and by N
k
(G) the graph induced by the non 3-removable edges ofG. In a previous paper [7], we have proved that N
3(G) is empty if and only ifG is cyclically 4-edge connected and that if N
3(G) is not empty then it is a forest containing at least three trees. Andersen, Fleischner and Jackson [1] and, independently, McCuaig [11] studied N
4(G). Here, we study the structure of N
k
(G) fork 5 and we give some constructions of graphs such thatN
k
(G) = E(G). We note that the main result of this paper (Theorem 5) has been announced independently by McCuaig [11].
Résumé SoitG un graphe cubique cyliquementk-arête-connexe, aveck 3. Soite une arête deG et soitG le graphe cubique obtenu à partir deG en supprimante et ses extrémités. L'arêtee est ditek-suppressible siG est aussi cycliquementk-arête-connexe. Désignons par S k (G) le graphe induit par les arêtesk-suppressibles et par N k (G) celui induit par les arêtes nonk-suppressibles. Dans un précédent article [7], nous avons montré que N 3(G) est vide si et seulement siG est cycliquement 4-arête-connexe et que si N 3(G) n'est pas vide alors c'est une forêt possédant au moins trois arbres. Andersen, Fleischner and Jackson [1] et, indépendemment, McCuaig [11] ont étudié N 4(G). Ici, nous étudions la structure de N k (G) pourk 5 et nous donnons des constructions de graphes pour lesquelsN k (G) = E(G). Nous signalons que le résultat principal de cet article (Théorème 5) a été annoncé indépendamment par McCuaig [11].相似文献
20.