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1
The Major Counting of
Nonintersecting Lattice Paths and ...
This work develops a theory for counting nonintersecting lattice paths by the major index and generalizations of it. As applications, Krattenthaler computes certain tableaux and plane partition generating functions.
2
Log-Gases and Random Matrices (LMS-34)
Nonintersecting lattice paths are the space-time trajectories of random walkers
on a one-dimensional lattice. In some circumstances the probability distribution
for the final position of the paths can be written in the form of the Boltzmann factor
of ...
3
Geometric Problems on Maxima and Minima
2.3.7 Cut two nonintersecting circles of radii r1 and r2 from a given square so that
: (a) r1r2 is a maximum; (b) r31 + r32 isamaximum. 2.3.8 Cut two nonintersecting
circles from a given triangle such that the product of their areas is a maximum.
Titu Andreescu, Oleg Mushkarov, Luchezar Stoyanov, 2007
4
Geometric And Combinatorial Aspects Of Commutative Algebra
To recover the tableaux from a nonintersecting d-path, it suffices to look at the
northeast corners in each path. More formally, we have the following. LEMMA 8
Lett € N. Define Ar = (2-r,r) and BT = (t-r+2,aT), forl<r<d, and let A = (A\,...,Ad) and
f> ...
Jurgen Herzog, Gaetana Restuccia, 2001
5
Power: Critical Concepts
This shows why only one nonintersecting path of a given length is counted. It may
now be apparent that X's odd-length nonintersecting paths are advantageous,
and even-length nonintersecting paths are disadvantageous. Advantageous ...
6.18 than the maximum possible number of intersections), we must have two
chords which do not intersect but the other n — 2 chords must all intersect each
other as well as the two nonintersecting chords. This can be done only if the two ...
7
Combinatorics of Nonnegative Matrices
We construct three nonintersecting paths from A to B. Denote by 71 and 72 the
pairwise nonintersecting circuits of length 4 forming the decomposition of O(A) —
0(B). Let Ai be the matrix obtained from A by the interchange which is equivalent
...
Vladimir Nikolaevich Sachkov V. E. Tarakanov
8
Advances in Combinatorial Methods and Applications to ...
Here, we complete the solutions to our Examples of Section 3.3. More precisely,
we address the problem of enumerating nonintersecting lattice paths with a given
number of NE-turns, which is the problem to be solved in order to compute ...
9
Introduction to Non-Euclidean Geometry
Wenextturn our attentionto nonintersecting lines. If two lines are perpendicular to
the same line,theyare nonintersecting. The converse statement is also true
anddescribes one of themost striking properties of nonintersecting lines.
Theorem.
10
Classical Dynamics: A Contemporary Approach
The four surfaces labeled a are in one set of nonintersecting WE submanifolds,
and the three surfaces labeled b are in another such set. The eighth lies in
another such set and is drawn to illustrate the abundance of WE submanifolds:
there ...
Jorge V. José, Eugene J. Saletan, 1998
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «NONINTERSECTING»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
nonintersecting w wiadomościach.
Liberalizing Marijuana Use and Improving Driving Safety: Two …
For most of the 20th century, the nation's policies regarding marijuana and highway safety travelled along different, nonintersecting planes. «InsiderOnline, Cze 15»
How Wall Street Can Make Money on Black Progress in America
It's as if they exist in nonintersecting universes: a black one dedicated to freedom, justice and rights, and a Wall Street one preoccupied with ... «The Root, Lip 14»
'Spring Breakers', 'Pain & Gain' and Postmodern Folly at the Movies
Prior to spring 2013, Harmony Korine and Michael Bay represented two seemingly nonintersecting circles of the film industry. In fact, the most ... «PopMatters, Maj 13»
Building Life Into A P&C Agency
It goes without saying that property and casualty and life insurance agents work in two separate and, usually, nonintersecting worlds. They both ... «PropertyCasualty360, Cze 11»
Casual Fridays: The Greek ideal lives on (in some of us, anyways)
Last week we wondered whether sports fans and arts buffs were nonintersecting groups. I knew there were some exceptions to the idea that an ... «ScienceBlogs, Maj 07»
