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Probabilistic Methods in Discrete Mathematics - Proceedings of the Fifth International Petrozavodsk Conference, Petrozavodsk, Russia, June 1-6, 2000 (Hardcover, Reprint 2020)
V.F. Kolchin, V. Ya Kozlov, V. V. Mazalov, Yu L. Pavlov, Yu.V. Prokhorov
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R3,557
Discovery Miles 35 570
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Ships in 12 - 17 working days
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Progress in Pure and Applied Discrete Mathematics, Vol. 1: Probabilistic Methods in Discrete Mathematics - Proceedings of the Third International Petrozavodsk Conference, Petrozavodsk, Russia, May 12-15, 1992 (Hardcover, Reprint 2020)
V.F. Kolchin, V. Ya Kozlov, Yu L. Pavlov, Yu.V. Prokhorov
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R4,020
Discovery Miles 40 200
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Ships in 10 - 15 working days
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This monograph deals with random forests and aims to show that,
despite the outward simplicity of the forest graph design, the
problems emerging in relation to the phenomenon are challenging,
and their solution often requires subtle mathematical methods. The
book focuses on forests formed by simply generated trees. While the
notion of the simply generated family of trees covers many known
tree classes, this approach to the study of random forests gives a
chance to obtain results for various forest types in a uniform way.
The main objective of the book is to provide the full description
of the limit behaviour of the random forest's most important
characteristics: maximum tree size and number of trees of a given
size and height. The main probability methods used in the book are
the generalized allocation scheme and methods of the branching
process theory. This monograph should be of value and interest to
researchers in probabilistic methods and discrete mathematics.
Although it took some time to establish the word, photonics is both
widely accepted and used throughout the world and a major area of
activity concerns nonlinear materials. In these the nonlinearity
mainly arises from second-order or third-order nonlinear optical
processes. A restriction is that second-order processes only occur
in media that do not possess a centre of symmetry. Optical fibres,
on the other hand, being made of silica glass, created by fusing
SiO molecules, are made of material with a centre of z symmetry, so
the bulk of all processes are governed by third-order nonlinearity.
Indeed, optical fibre nonlinearities have been extensively studied
for the last thirty years and can be truly hailed as a success
story of nonlinear optics. In fact, the fabrication ofsuch fibres,
and the exploitation oftheir nonlinearity, is in an advanced stage
- not least being their capacity to sustain envelope solitons. What
then ofsecond-order nonlinearity? This is also well-known for its
connection to second-harmonic generation. It is an immediate
concern, however, to understand how waves can mix and conserve both
energy and momentum ofthe photons involved. The problem is that the
wave vectors cannot be made to match without a great deal of
effort, or at least some clever arrangement has to be made - a
special geometry, or crystal arrangement. The whole business is
called phase matching and an inspection ofthe state-of-the-art
today, reveals the subject to be in an advanced state."
It's time for a savior... In a land that has long been occupied and
oppressed by foreign dictators, the time for heroes is ripe, it is
time for legends to arise and free their country from tyranny. Two
adolescent teenagers accustomed to the laid back life of their
small and peaceful village of Pavanti where little excitement
happens, is about to change. An ensuing attack by an expeditionary
force from the main Rakirian army turns their tranquil village into
a smoldering ruin and throws the boys into opposite ends of their
world, which is suffering under the yoke of oppression. Meanwhile,
an evil is approaching that threatens to destroy their world, to
face it they must have the courage, to fight it they must have
brawn, and to defeat it they must have wisdom. Aided by a beautiful
foreign princess and a wise peasant girl, the youths from Pavanti
must rise and incite revolt.
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Discovery Miles 3 180
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