Báo cáo toán học: "Remarks on the singular extension in the C*-algebra of the Heisenberg group " docx
Báo cáo toán học: " Remarks on uniform attractors for the 3D nonautonomous Navier-Stokes-Voight equations" pptx
... T); W ), then
using the Gronwall inequality and similar energy method to the proof of Theorem 3.1
in Qin, Yang and Liu [10], we can deduce the boundedness of u and the existence of
absorbing set. ... nonlinear property, the existence of strong solution remains open. For the infinite-
dimensional dynamical systems, Sell [5] constructed the semiflow generated by the
we...
Báo cáo toán học: "Remarks on Lebesgue-type decomposition of positive operators " docx
... class="bi x0 y0 w2 h 1" alt =""
Báo cáo toán học: " Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers" pdf
... 1 = qi + r as in the definition of S(i, d) (1 ≤ r ≤ i).
Proof. In the definition of S(i, d) let the set of vertices of σ
r
be F ⊎{v}. Then the number
of j-faces in S(i, d) containing v is f
j−1
(S(i, ... d−1)), of those containing F is f
j−r
(S(i, d−r))
and of those containing neither v nor F is f
j
(S(i, d − 1)). The assertion thus follows.
Proof of Theorem 1.1(...
Báo cáo toán học: "Random Cayley graphs are expanders: a simple proof of the Alon–Roichman theorem" potx
... trivial
representation 1, the one-dimensional representation that maps all elements of G to the identity
operator on C. The second is the regular representation R, given by the permutation action of
G on itself. ... in Section 3.
2 Background
We outline, below, the elements of graph theory, representation theory, and probability theory
required for the statement of...
Báo cáo toán học: "Hard Squares with Negative Activity and Rhombus Tilings of the Plane" pdf
... Ω
1,x,e
(a)orΩ
1,x,s
(a).
x
1
x
3
y
0
y
2
z
3
p
2
x
1
x
3
y
0
y
2
z
1
z
3
p
2
Figure 25: The situation for a set σ in Ω
1,x,s
(a) in case (A) of the proof of Lemma 5.15;
x
1
= x. The reflection about the dotted line yields the situation in Step I of the proof of
Lemma 5.14; ... remains to compute the total number of tilings, not only those containing the origin....
Báo cáo toán học: "Variations on Descents and Inversions in Permutations" docx
... proof of their result.
3 Variations on the inversion statistic
In this section we introduce analogs of the inversion statistic on permutations correspond-
ing to the odd 3-factor and the alternating ... the order in which they
must be concatenated to form the original permutation σ. Indeed, the first block is the
one containing 1, the second block contains the l...
Báo cáo toán học: "A tight lower bound for convexly independent subsets of the Minkowski sums of planar point sets" potx
... P
i
the set of points in P that are incident to the ith line in L. Consider a
polygonal chain C consisting of |L| line segments such that the ith segment s
i
has the
same slope as the ith line of ... line of L. Since we sorted the lines in L by their slopes, C is a
(weakly) c onvex chain. Set the length of each line segment to be at least the diameter of
the...
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