Báo cáo toán học: "Promotion and Evacuation" docx
Báo cáo toán học: "Promotion and Evacuation" docx
... P,
where i j denotes that i and j are incomparable. The labelling begins at (1, p − 2) and
works its way down and to the right. See Figure 9 for a diagr am of the local rule and
Figure 10 for the completed ... Pylyavskyy, and B. Rhoades, Promotion and cyclic sieving via
webs, preprint, arXiv:0904.3375.
[22] R. A. Proctor, Overview of recent research concerning the hook
length a...
Báo cáo toán học: "Promotion and evacuation on standard Young tableaux of rectangle and staircase shape" doc
... for providing references and commenting on an earlier version of this paper. We
also would like to thank Andrew Berget and Richard Stanley for discussion on this topic,
and Nicolas M. Thi´ery fo ... (sc
k
).
1 Introduction
Promotion and evacuation (denoted here by ∂ and ǫ, respectively – see Definitions 2.1 and
2.7) a r e closely related permutations on the set of standard Young ta...
Báo cáo toán học: " Synthesis and anti-HSV-1 evaluation of new " docx
... with
diluted hydrochloric acid (1:3), and the precipitate was filtered and recrystallized from
DMF and water. A mixture of the acids 3a–k and 4a–c (1 mmol), and phosphorus
oxychloride (5 mL) was ... precipitated was
filtered, dried, and recrystallized from a mixture of ethanol and water. The compounds
obtained 5a–k and 6a–c were reacted with 10 mL NaOH (20%) and 10 mL o...
Báo cáo toán học: " Maximal and minimal point theorems and Caristi’s fixed point theorem" docx
... article as: Li and Jiang: Maximal and minimal point theorems and Caristi’s fixed point theorem. Fixed
Point Theory and Applications 2011 2011:103.
Li and Jiang Fixed Point Theory and Applications ... Then, j is bounded below since is bou nded above, and hence from
(H
6
) and (H
7
) we find that both (H
1
) and (H
2
)holdfor(X, d, ≼
1
) and j. Finally, Theo-
rem 2 forces...
Báo cáo toán học: "Codes and Projective Multisets" docx
... 620-622.
[22] Landgev, I. N. Linear codes over finite fields and finite projective geometries. To
appear in Discrete Math
Codes and Projective Multisets
Stefan Dodunekov
Institute of Mathematics and Informatics
Bulgarian ... of
Technical Mathematics and Informatics, Delft University of Technology. He would
like to thank Dr. Juriaan Simonis and Dr. Jan van Zanten for their support and...
Báo cáo toán học: "Graphic and Protographic Lists of Integers" docx
... maximum degree, and w is adjacent to
z but not to x among the highest-degree vertices, then there exists y ∈ N(x) − N(z)
since d(x) ≥ d(z), and the 2-switch that replaces wz and xy with wx and zy reduces ... X
by
deleting this 1 and subtracting 1 from some larger element of X.NowX
has length k −1
and sum k − 1+j − 1, with j − 1 <k− 1. By the induction hypothesis, X
is gra...
Báo cáo toán học: "Matchings and Partial Patterns" docx
... contains σ
′
if and only if µ
−
contains
σ, and µ contains τ
′
if and only if µ
−
contains τ. We now define the bijection between
σ
′
-avoiding and τ
′
-avoiding matchings. Since σ and τ are assumed ... contains σ at level ℓ if and only if k > 0 and b contains a symbol smaller
than ℓ that appears to the right of y
1
. Similarly, µ contains τ at level ℓ if and only if
k >...
Báo cáo khoa học: "Syntax and Interpretation" docx
... the
SYNTAX AND INTERPRETATION
45
[Mechanical Translation and Computational Linguistics, vol.9, no.2, June 1966]
Syntax and Interpretation*
by B. Vauquois, G. Veillon, and J. Veyrunes, ...
Example: The string A B C R A' B' C' implies co-
ordinations between:
A and A’
B and B’
C and C’
So we write:
RA’ >—— R/,V
A
RB’ >—— R/,V
B
RC’ >—— R...
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