Báo cáo toán học: "Set families with a forbidden subposet" pptx
Báo cáo toán học: "Set families with a forbidden subposet" pptx
... contained in any other chain. In
particular, a maximal chain in 2
[n]
is a chain of sets ∅ = S
0
⊂ S
1
⊂ · · · ⊂ S
n
= [n] with
|S
i
| = i. A k-marked chain with markers F
1
, . . . , F
k
is a ... straightforward generalization of the two
arguments above.
Proof of Theorem 1
By an interval in a poset P we mean a set of the form [x, y] = {z ∈ P : x z y}.
A maximal chain in...
Báo cáo toán học: " Music expression with a robot manipulator used as a bidirectional tangible interface" pptx
... move
towards a virtual attractor in 3D Cartesian space as if its dynamics was equivalent
to a virtual mass concentrated in its end-effector and attached by a virtual spring
and damper.
We propose ... κ
P
and κ
V
are adaptive stiffness and damping gains in the plane of the
circle. κ
P
⊥
and κ
V
⊥
are constant gains in a direction perpendicular to the circle.
The variable scalar gains κ
P...
Báo cáo toán học: "Set-Systems with Restricted Multiple Intersections" ppsx
... the DIMACS Center
in Piscataway, NJ. The author also acknowledges the partial support of Janos Bolyai Fel-
lowship, of Farkas Bolyai Fellowship, and research grants FKFP 0607/1999, and OTKA
T030059.
References
[BBR94] ... 2001.
ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/2001/2001-
03.ps.gz.
[GRS80] Ronald L. Graham, Bruce L. Rothschild, and Joel H. Spencer. Ramsey Theory...
Báo cáo toán học: "Set Systems with Restricted t-wise Intersections modulo Prime Powers" pdf
... Finance & Economics, Tianjin, 301811, P. R. China
xiaojiethink@yahoo.com.cn
Submitted: Jan 4, 2009; Accepted: May 24, 2009; Published: Jun 5, 2009
Mathematics Subject Classifications: 05D05
Abstract
We ... |F| − 1,
suppo se that after step r we have already constructed families of sets A = {A
1
, . . . , A
i
},
B = {B
1
, . . . , B
i
}, F
1
and F
2
= {D
1
, . . . , D
j
} such that |...
Báo cáo toán học: " Playing Nim on a simplicial complex" pptx
... linear algebra it follows that the maximal independent sets all have the same
cardinality. This cardinality is called the rank of the matroid.
The symmetric difference A B of two sets A and B is A B ... n. Also, let min(n) be the minimum
among the coordinates of n and let max(n) be the maximum.
An impartial two player game (or Nim game) is a game where two players take
turns making moves...
Báo cáo toán học: " Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings" pptx
... for the details, see [16].
Let (Ω, Σ) be a measurable space (Σ-sigma algebra) and F be a nonempty
subset of a Banach space X. A mapping ξ : Ω → X is measurable if ξ
−1
(U) ∈ Σ
for each open subset ... Ray, M: Convergence of an iteration leading to a solution of
a random operator equation. J. Appl. Math. Stochastic Anal. 12, 161–168
(1999)
12. Song, YS, Yang, CS: Solving variationa...
Báo cáo toán học: " General decay for a wave equation of Kirchhoff type with a boundary control of memory type" pdf
... a wave equation with a boundary control of memory type.
Nonlinear Anal Real World Appl. 11, 2896–2904 (2010). doi:10.1016/j.nonrwa.2009.10.013
18. Cavalcanti, MM, Domingos Cavalcanti, VN, Prates, ... Soriano, JA: Existence and uniform decay rates for viscoelastic
problems with nonlinear boundary damping. Differential Integral Equations. 14,85–116 (2001)
19. Cavalcanti, MM, Domingos Ca...
Báo cáo toán học: "RHOMBUS TILINGS OF A HEXAGON WITH TWO TRIANGLES MISSING ON THE SYMMETRY AXIS" pdf
... paths starting with a
horizontal step at R
i
, i = s + 1 are counted with weight
1
2
. Therefore, we count paths
starting with a horizontal step and paths starting with a vertical step separately.
We ... Krattenthaler, An alternative evaluation of the Andrews–Burge determinant, in: Mathemati-
cal Essays in Honor of Gian-Carlo Rota, B. E. Sagan, R. P. Stanley, Progress in Math.,...
Báo cáo toán học: " Packing and covering a unit equilateral triangle with equilateral triangles" pot
... they have great practical and theoretical significance. In this paper, we discuss
a problem on packing and covering a unit equilateral triangle with smaller triangles
which is originated from one ... a standard k
2
-covering, remove a 3
2
-grid and replace it with eight equilateral
triangles T
i1
,T
i2
, ,T
i8
covering the same area which are placed as Figure 6 such that T
i1
is th...
Báo cáo toán học: "Nonabelian Groups with (96, 20, 4) Difference Sets Omar A. AbuGhneim" ppt
... designs.
The adjacency matrix of a symmetric design has a set of invariant factors (or “ele-
mentary divisors”, associated with the Smith Normal Form of the matrix.) If A is the
adjacency matrix of ... and
4 to keep the search space relatively small.) Further details on this approach, including
GAP programs used, is available in [2] and at the webpage [16].
2 Summary of past work on (...
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