Báo cáo toán học: "When M-Cosingular Modules Are Projective" pptx
Báo cáo toán học: "When M-Cosingular Modules Are Projective" pptx
... right modules whose objects are
submodules of M -generated modules. A module N ∈ σ[M]issaidtobeM -small
if there exists a module L ∈ σ[M] such that N L.
Let M be a module. If N and L are submodules ... of all M-small modules. They call N an M-cosingular
(non -M-cosingular) module if
Z(N)=0(Z(N)=N). Clearly every M -small
module is M -cosingular. The class of all M-cosingular mo...
Báo cáo toán học: "When are subset sums equidistributed modulo m" doc
... modulo d frequencies are all equal.
Indeed, for tickets T in such a family the mod-d frequencies are a translation of the mod-d
frequencies of T ∩[km+1,n]. But these intersections are all possible ... not uniform then the tickets fall into two classes, those that are k-good
for some appropriate k (call these simply good)andthosethatarenot(callthembad).
As before, the number of bad tic...
Báo cáo toán học: " When structures are almost surely connected" pdf
... following:
1. C(x), H(x), and A(x) all have zero radius of convergence;
2. c
n
,a
n
, and n!h
n
are positive integers;
3. A(x)=exp(H(x)) = exp
j≥1
C(x
j
)/j
;
4. lim inf
n→∞
c
n
/a
n
= lim ... x
j
)
−c
j
and
c
n
=
n!N
n
if n is even
[
N
n
α−1
]+1 if n is odd,
where α =1/l. Notice N
n
and c
n
are positive integers for all n>1. Notice that if n
is even, then c
n
≥ n!andsoC(x) has...
Báo cáo toán học: "When can the sum of (1/p)th of the binomial coefficients have closed form" pot
... factorization and are
therefore equal. Thus p =2
k
q=2
m+1
s =2r, proving the claim.
Since we are assuming that p =2r, the leading coefficients of a
k
and b
k
are
different, and we are in Case 1 of ... a
k
=lcb
k
,orequivalently,
p
p
=2
p
r
r
(p−r)
p−r
?(1)
Claim: All integer solutions 0 <r<pof equation (1) are of the form
p =2r.
To prove the claim, let p =2
k
q,r=2
m
s,whereq,s...
Báo cáo toán học: "Random Cayley graphs are expanders: a simple proof of the Alon–Roichman theorem" potx
... i>0}, where G
i
is a (n
i
,d,)-
expander, and d are constants independent of n
i
,andthen
i
tend to infinity in i. Graphs
with these properties are the principal combinatorial elements featured ... representations: we write ρ = σ
1
⊕···⊕σ
k
.
If two representations ρ and σ are the same up to an isometric change of basis, we say that
they are equivalent. It is a fact that any finit...
Báo cáo toán học: "Rank–three matroids are Rayleigh David G. Wagner" docx
... motivation of this definition.
Rayleigh matroids are “balanced” in the sense of Feder and Mihail [2], and for binary
matroids these conditions are equivalent. For example, every sixth–root of ... 1.1 Every matroid of rank three is Rayleigh.
In contrast to this theorem there are several matroids of rank four that are known not to
be Rayleigh, among them the matroids S
8
and J
discusse...
Báo cáo toán hoc:"Which Cayley graphs are integral" docx
... C
m
and D
2n
are used for the cyclic group of order m and dihedral gro up
of order 2n (n > 2).
The main question that we are concerned here is the following:
Which Cayley graphs are integral?
It ... and
introduce some infinite family of connected integ r al Cayley graphs.
The main results are the following.
Theorem 1.1 There are exactly seven connected cubic integral Cayley graphs...
Báo cáo toán học: "nfliximab and Etanercept Are Equally Effective in Reducing Enterocyte APOPTOSIS in Experimental Colitis" doc
... induced by intrarectal
administration of 5 mg of dinitrobenzenesulphonic
acid (DNB) dissolved in 50% ethanol under light ether
anesthesia. Control colitis was induced by intrarectal
instillation ... and onercept
are genetically engineered fusion proteins consisting
of two molecules of the natural p75 or p55 TNF re-
ceptors and the Fc domain of human IgG1, whereas
IFX and ADA are IgG...
