Báo cáo toán học: "A Schr¨der Generalization of Haglund’s Statistic on o Catalan Paths" pptx
Báo cáo toán học: "A Schr¨der Generalization of Haglund’s Statistic on o Catalan Paths" pptx
... section 0 of
φ(Π) for each D row of length 0 in Π. From section 1 of φ(Π) we can determine how the
rows of length 1 of Π are interleaved with the rows of length 0 of Π, and also which rows
of length ... number of inversion pairs of Π of the form (x, y)withrow
x
of length i,
row
y
of length i +1 and y not a D row equals the number of inversion pairs of τ involving...
Báo cáo toán học: "A quasisymmetric function generalization of the chromatic symmetric function" pptx
... K
m,n
comes from one of these posets.
We associate the coloring κ with a composition α, where α
i
is the number of vertices
colored with the i
th
smallest color. If a coloring agrees with one of ... a proper coloring of G w i th λ colors;
• κ(i) ≤ κ(j) if and only if (i, j) is an edge of O.
Proof. Let Ω(P, λ) be the order polynomial of P — the number of order-preserving maps
f...
Báo cáo toán học: "A quantified version of Bourgain’s sum-product estimate in Fp for subsets of incomparable sizes" pot
... p}.
The following statement follows from the aforementioned work [7]. We shall only use
it in order to avoid a minor inconvenience that may arise when p/|A| is as small as a fixed
power of log |B|.
Lemma ... Soc. (to
appear).
[4] J. Bourgain, A. A. Glibichuk and S. V. Konyagin, Estimates for the number of sums
and products and for exponential sums in fields of prime order, J. London Math....
Báo cáo toán học: "A van der Waerden Variant" potx
... restricted to {0, 1, ,M} is not
k-colorable.
The following proposition, conjectured after a cursory examination of the table,
is quite easy to show.
Proposition 2.1 Let c<dbe nonnegative integers. ... distinct congruence classes modulo p,
then VW (S, k) does not hold.
Proof. In the proof of Theorem 3.1, the rewrite rules are of the form i → iα,where
α is a particular word of length...
Báo cáo toán học: " A Stochastic EOQ Policy of Cold-Drink-For a Retailer" ppsx
... a stochastic EOQ (economic order quantity)model
both for discrete and continuous distribution of demands of cold-drink. A general
characterization of the optimal inventory policy is developed ... response of cold-drink consumption to a change in
τ(temperature)
C
1
= opportunity cost of money tied up in inventory.
C
2
= rate of change of inventory cost with respect to temperature...
Báo cáo toán học: " A Blowing-up Characterization of Pseudo Buchsbaum Modules" ppsx
... Buchsbaum
A-module by Theorem 3. Thus
M is a pseudo Buchsbaum
A-
module by Theorem 3. So M is a pseudo Buchsbaum module by Proposition
1.
Now we prove the second statement of Theorem 1.
ProofofStatement(ii) ... decomposition of the submodule
0inR
q
(M) such that 0
R
q
(M )
=
l
∩
i=1
Q
i
with Q
i
is the homogeneous primary
submodule of R
q
(M) belonging to homogeneous prime P
i
(...
Báo cáo toán học: "A MATRIX DYNAMICS APPROACH TO GOLOMB’S RECURSION" potx
... Chew and Stephen Tanny
Department of Mathematics
University of Toronto
Toronto, ON M5S 3G3
barbeau@math.utoronto.ca, jjchew@math.utoronto.ca
and tanny@math.utoronto.ca
Submitted: February 10, 1997; ... reformulation of (1) using standard dynam-
ical theory of a matrix operator. Based on this approach, in Section 2, we are
able to characterize the asymptotic behaviour of all the...
Báo cáo toán học: "A Fibonacci-like sequence of composite numbers" ppt
... m
k
contribute to covering one of these, let us say c
1
.
Note that for the m
k
abovetobeabletocovertheintegersn≡c
1
(mod 64),
then they divided by their greatest common divisor with 64 must cover ... 3 plus at most one of the
m
k
divisible by 3 in the third column will cover the integers n ≡ d
2
(mod 54).
Thus one of the moduli (5,10,20) and one of the moduli (15,30,60) will cover th...
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