Báo cáo toán học: "Shellability and the strong gcd-condition" doc
Báo cáo toán học: "Shellability and the strong gcd-condition" doc
... 4.2.5]. There are several equivalent but differently flavored
characterizations of Golod rings, see Sections 5.2 and 10.3 in [1] and the references therein.
One is that R is Golod if the ranks of the ... order of the facets of ∆
∨
. The complements
F
1
c
, . . . , F
r
c
are the minimal non-faces of the flag complex ∆, so |F
i
c
| = 2 and |F
i
| = |V |−2
for all i. Let j ≥ 2...
Báo cáo toán học: "Triangulations and the Haj´s Conjecture " ppt
... can go wrong. On the other
hand, he observed that locally planar graphs and triangulations of the projective
plane and the torus satisfy Haj´os Conjecture, and he conjectured that the same
holds ... graph and not a digraph.
Paley graphs have a number of intriguing properties. First of all, they are highly
symmetric. Secondly, they are self-complementary. On the other hand, t...
Báo cáo toán học: "Regularisation and the Mullineux map" pot
... v-decomposition numbers are the coefficients obtained when the elements of the
canonical basis are expanded in terms of the standard basis, i.e. the coefficients d
λµ
(v)
in the expression
G(µ) =
λ
d
λµ
(v)λ.
We ... v-decomposition numbers; one con-
cerning the Mullineux map, and the other concerning e-regularisation. The first of these
involves the e-weight of a partition,...
Báo cáo toán học: " Dilemmas in the reliable estimation of the in-vitro cell viability in magnetic nanoparticle engineering: which tests and what protocols?" doc
... increase in the coating diameter upon addition of the PEG moiety [33], thus
increasing the stability of the nanoparticles and further shielding the cells from the iron oxide core. The
cationic ... understanding of the degree of cytotoxicity of the MNPs, we also
investigated the effect the polymer-coated nanoparticles had on the integrity of the cell membrane an...
Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
... Note that the conditions
of strong convergence theorem are different from the strong convergence theorems for
the implicit iterative processes in the literatures. Finally, we discuss a strong conver-
gence ... strong convergence theorem are different from the
strong convergence theorems for the implicit iterative processes in the literatures.
Finally, we discuss a str...
Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
... nonexpansive mappings and a relative nonexpansive mapping on Banach
spaces. Note that the conditions of strong convergence theorem are different from the
strong convergence theorems for the implicit iterative ... strong convergence theorem are different from the strong convergence theorems for
the implicit iterative processes in the literatures. Finally, we discuss a st...
Báo cáo toán học: " Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type" pdf
... symmetry in k and −k, amounts to the
same as multiplying the sum by 2. This is made more transparent if we look at the decomposition
of the summand f(k) into its even and its odd part, in the usual ... to α =0andn → 2n − 1, or, α = −1andn → 2n in the theorem of [2], cf.
also (3.10) and (3.12) in Andrews [8].)
As pointed out by Andrews [2], this finite version of (1) has its o...
Báo cáo toán học: "Asymptotics for the Probability of Connectedness and the Distribution of Number of Components Jason P. Bell Department of Mathem" doc
... provide easy examples for the application of Theorem 2. These
and other graphical examples are discussed by Compton [10] and by Knopfmacher and
Knopfmacher [18] in their interesting papers. Inevitably, ... =0.
• In cases LC and UC, the next theorem proves the equivalence of the conditions under
the additional assumption that lim c
n−1
/c
n
exists.
Theorem 2. Suppose that R&g...