Báo cáo toán học: "Irreducible coverings by cliques and Sperner’s theorem" ppsx
Báo cáo toán học: "Irreducible coverings by cliques and Sperner’s theorem" ppsx
... of cliques from an
irreducible covering by cliques of the complementary graph
G.
2 Main result
We will evaluate the clique number ω(G)whenG of order n has an irreducible covering
by n − k cliques.
Theorem ... irreducible coverings by cliques of complete multi-
partite graphs, J. of Combinatorial Theory, Series B, 2, 28(1980), 127-141.
[9] I. Tomescu, On the number of irreducib...
Báo cáo toán học: "A q-analogue of de Finetti’s theorem" ppsx
... problem. By exchange-
ability, the law of a random infinite binary sequence is determined by the arr ay (v
n,k
),
∗
Supported by a g rant from the Utrecht University, by the RFBR grant 08-01-00110, and ... (5)
which in turn is given by a q-version of formula (4), with [0, 1] being replaced by ∆
q
(Theorem 3.2). A similar result with switching the roles of 0’s and 1’s and repl...
Báo cáo toán học: " Some Periodicity of Words and Marcus Contextual Grammars" ppsx
... X
∗
and n ≥ 1 such that α = , x = αβ, y = βα and u =
(αβ)
n
α.
Lemma 5.2. Let x, u, v ∈ X
+
.Ifu = xv = vy and |v|≥|u|/2,thenu/∈ HQ.
Proof. By Lemma 5.1, there exist α, β ∈ X
∗
with αβ = and ... be an alphabet with |X|≥2.Ifaw /∈ HQ and wb /∈ HQ
where w ∈ X
∗
and a, b ∈ X,thenawb /∈ HQ.
Proof. Assume that aw /∈ HQ and wb /∈ HQ.Thenaw ∈ v ⊗ v ⊗···⊗v
and wb ∈ u ⊗ u ⊗ ···⊗...
Báo cáo toán học: "On variants of Conway and Conolly’s Meta-Fibonacci recursions" potx
... > a, and initial condi-
tions A(1) = · · · = A(b+j) = 1 then it generates a slow-growing and unbounded sequence
by Proposition 1. The sequences generated by A(n) with parameters (k, 0, 1) and ... < n ≤ m + 1, ∆
i
(n) = 1 if and only if ∆(n − b
i
) = 0 and
∆(n − a
i
− C(n − 1 − b
i
)) = 1.
Proof. By the assumptions that C(n) is slow-growing up to term m and b
i
≥ 1, it...
Báo cáo toán học: "Chromatic statistics for triangulations and Fuß–Catalan complexes" ppsx
... γ
i
by γ
i
− 1
for i = 1, 2, . . . , d and, thus, |γ| by s = −d +
d
j=0
γ
j
in (3.3). If we do this, then we
arrive easily at ( 2.4).
Proposition 3.1. Let d be a non-nega tive integer and J
d+1
be ... g iven by
1
n
dn
n−1
.
2.2 Elementary properties of Fuß–Catalan complexes
A Fuß–Catalan complex is completely determined by its 1-skeleton. This is seen by
gluing simplices on...
![Báo cáo toán học: " Decreased defluorination by using the novel beta cell imaging agent [18F]FE-DTBZ-d4 in pigs examined by PET" docx](https://media.store123doc.com/images/document/2014_06/20/medium_Yskgkr4qWe.jpg)
Báo cáo toán học: " Decreased defluorination by using the novel beta cell imaging agent [18F]FE-DTBZ-d4 in pigs examined by PET" docx
... analysis
PET and CT images were analyzed by PMOD (PMOD Technologies Ltd., Zürich, Switzerland).
Values are given as means ± standard error of the mean [SEM] unless otherwise stated, and
statistics ... Equation 2, where φ
1
, φ
2
, θ
1
, and θ
2
are macro-parameters determined by the rate
constants K
1
, k
2
, k
3
, and k
4
[18]. V
T
and V
S
denote the total and specifi...
Báo cáo toán học: " decarboxylation catalyzed by phenolic acid decarboxylase from Candida guilliermondii" potx
... PCR) and P5 (nested PCR) were used
for the 5’-RACE and the gene-specific primers P6 (first PCR) and P7 (nested PCR) for
the 3’-RACE. Approximately 250 bp and 290 bp were amplified by 5’-RACE and ... 50 mM
sodium phosphate buffer (pH 7.0) and eluted with the equilibration buffer. The active
fractions were combined and concentrated by ultrafiltration, and the concentrate...
Báo cáo toán học: " Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator" ppt
... (6)
Uniformly Starlike and Convex Functions Defined by Certain Integral Operator 321
By virtue (5) and (6), we see that
J
α
f(z)=Q
1
α
f(z), (α>−1). (7)
For f ∈T, the operator in (5) and (6) becomes
Q
α
β
f(z)=z ... Starlike and Convex Functions Defined by Certain Integral Operator 331
The above expression is bounded by 1 − γ if and only if (29) is satisfied.
Conversely, if...
Báo cáo toán học: " Irreducible Quadratic Perturbation of Spatial Oscillator" ppt
... manual computation and simplifica-
tion of the formula are almost impossible. So, constructing of the displacement
function and the further computations and simplifications in Sec. 3 (and some
parts ... done by using algebraic methods and computer softwares.
In Sec. 2, we will re-scale (3) and obtain an irreducible small perturbed system.
Then, we will study the structure of the Po...