Báo cáo toán học: "Promotion operator on rigged configurations of type A" potx
Báo cáo toán học: "Promotion operator on rigged configurations of type A" potx
... configurations
A general definition of rigged configuration of arbitrary types can be found in [14, Section 3.1].
Here we are only concerned with type A
n
rigged configurations and review their definition.
Given ... Section 2, we review the definitions of crystal paths
and rigged configurations, and state the main results of this paper. Theorem 2.38 shows that
pr is the analogue...
Báo cáo toán học: "Some Results on Mid-Point Sets of Sets of Natural Numbers" doc
... the mid-point of any two numbers of A belonging
to sequence (1) is different from r, we can assert that at least one of p + i and
q − i does not belong to A if |i| satisfies condition (2). Now, ... the usual notations N is the set of natural numbers and
R
+
is the set of positive rational numbers.
One may recall here the notion of asymptotic density of a set of positive
integers...
Báo cáo toán học: " Lifecycle scenario design for product end-of-life strategy" potx
... process design. One of the main
contributions of the study is its definition of scenarios as computational lifecycle models that enable the
design, visualization and evaluation of the whole product ... candidates were connected with a contradictory link
to avoid selection of both nodes as a conclusion.
Second, we determined the lifecycle concepts. Here, we derived the four conce...
Báo cáo toán học: "Threshold Functions for the Bipartite Tur´n Property a" potx
... this section, and in the next section. Since z(n, t) ∼ n
2
for
the range of t’s that we consider, we will occasionally rephrase our results in terms of the
minimum number ζ(n, t) of zeros of an n ... =0)→0 with this
value of p, then the same conclusion is certainly valid, by monotonicity, if p assumes any
larger value. So far, our analysis has led (roughly) to the conditions log n ...
Báo cáo toán học: "Combinatorial Identities from the Spectral Theory of Quantum Graph" potx
... the set of all n-periodic orbits (PO’s) on the graph. Note that for the
convenience of presentation we will consider cycles differing only by a cyclic permutation
the electronic journal of combinatorics ... metric is assigned
to the bonds, and the solutions of the one-dimensional Schr¨odinger equation on each bond
(i d
x
− A)
2
ψ(x)=k
2
ψ(x) is given as a linear combination of co...
Báo cáo toán học: "The Garnir relations for Weyl groups of type Cn" pot
... Classifications: 20F55, 20C30
Abstract
The Garnir relations play a very important role in giving combinatorial construc-
tions of representations of the symmetric groups. For the Weyl groups of type ... combination of the polytabloids
the electronic journal of combinatorics 15 (2008), #R73 13
The main object of this paper is to construct the Garnir relations in terms of the roo...
Báo cáo toán học: "Promotion and evacuation on standard Young tableaux of rectangle and staircase shape" doc
... position
of n in ǫ
∗
◦ ∂(T ) is the same as the position of n in T (because the sliding in the action
of promotion and the first application of dual-sliding in the definition of dual-evacuation
will ... promotion path of T is the reverse of the dual-promotion path of ∂(T ).
the electronic journal of combinatorics 18 (2011), #P18 4
Proof. It follows from the definition of dual...
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