Báo cáo toán học: "Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables" doc
Báo cáo toán học: "Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables" doc
... non-commuting variables) corresponding
to the disjoint union of X and Y , together with the total order obtained from X and Y
placing all Y after all X.(Thatis,x<yfor all x in X and all y in Y ... ρ
m,n
forms
an inverse system in the category of graded algebras. Let NCSym be its inverse limit in
this category. We call NCSym the algebra of symmetric functions in an in n...
Báo cáo toán học: " Exploiting periodicity to extract the atrial activity in atrial arrhythmias" doc
... vector
is defined by the corresponding column a
i
in the mixing
matrix A. Following this interpretation of Equation 1,
Llinares and Igual EURASIP Journal on Advances in Signal Processing 2011, 2011:134
http://asp.eurasipjournals.com/content/2011/1/134
Page ... of the signals and the way they are
mixed before obtaining the multidimensional recording.
One of the most common types of pri...
Báo cáo toán học: " Subclasses of Uniformly Starlike and Convex Functions Defined by Certain Integral Operator" ppt
... Uniformly Starlike and
Convex Functions Defined by
Certain Integral Operator
Maslina Darus
1
,AiniJanteng
2
, and Suzeini Abdul Halim
2
1
School of Mathematical Sciences, Faculty of Sciences and Technology,
University ... corresponding subclasses of uniformly convex functions are also
obtained.
1. Introduction
Let S denote the class of functions f which are analytic and univalent...
Báo cáo toán học: "A character on the quasi-symmetric functions coming from multiple zeta values" doc
... generated by the elementary symmetric functions e
n
, and also by
the complete symmetric functions h
n
. The generating functions E(t) and H(t) for these
symmetric functions are related by E(t) ... Geissinger, Hopf algebras of symmetric functions and class functions, in Combi-
natoire et repr´esentation du groupe sym´etrique (Strasbourg, 1976), Springer Lecture
Note...
Báo cáo hóa học: " Magnetic Anisotropic Energy Gap and Strain Effect in Au Nanoparticles" docx
... variation in D and strain e with mean diameter,
revealing the increase in magnetic anisotropic energy with increasing
particle size. b Schematic plots for negative strain (e \0), and c
positive strain ... a closed d shell and a single s electron.
Finite-size effects play a dominant role in determining the
magnetic properties. A decrease in size can lead to unusual
ferromagnetic...
Báo cáo toán học: "On the Dimer Problem and the Ising Problem in Finite 3-dimensional Lattices" pps
... continuous non-self-intersecting
curve connecting the embedding of its end vertices. The interiors of the embedding of the
edges are pairwise disjoint and the interiors of the curves embedding ... order, else according to
the natural order.
3. All the remaining arcs orient in
¯
D in the same way as in D.
Note that relevant edges are oriented in the same way in both D and
¯
D.
th...
Báo cáo toán học: "n-Color partition theoretic interpretations of some mock theta functions" doc
... mock
theta functions. He separated these 17 functions into three classes. First containing 4
functions of order 3, second containing 10 functions of order 5 and the third containg 3
functions ... function for partitions into
odd parts without gaps [5]. We in this paper use n-color partitions (also called partitions
with n copies of n and studied first by Agarwal and Andrews i...
Báo cáo toán học: " On a Partition Function of Richard Stanley" pptx
... combinatorial proof.
I have been informed that A. Sills, A. J. Yee, and C. Boulet have independently found
such proofs in addition to further results.
References
[1] G.E. Andrews, The Theory of Partitions, ... (10)
We conclude with some open questions.
2 The Main Theorem
We begin with some preliminaries about partitions and their conjugates. For a given
partition π with parts each N...
Báo cáo toán học: "Bounding the partition function of spin-systems" ppsx
... is obtained using entropy considerations (and in particular, Shearer’s Lemma).
∗
This work was begun while the author was a member of the Institute for Advanced Study, Einstein Drive,
Princeton, ... Z
W
Ising,β,h
(K
d,d
)
N
2d
≤
2
2d
e
βd
2
N
2d
(2)
=2
N
exp
βdN
2
. (3)
In (2) we are using that there are 2
2d
possible configurations on K
d,d
and that each has weight
at most e
βd...
Báo cáo toán học: "Plethysm for wreath products and homology of sub-posets of Dowling lattices" pptx
... occurring in the second components of elements of J
,
and that the parts of π contained in J
are those obtained by listing the remaining such
numbers in increasing order, chopping that list into ... concatenating the elements of I
0
(in increasing
order) followed by the elements of I
1
(in increasing order), I
2
(in increasing order), and
so on up to I
n
d
, where the...
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