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Something funny is afoot in Gotham City, but Batman and Batwoman
aren't laughing. Robbery victims are handing over their loot and
seem downright delighted to do so. While investigating this odd
behaviour, the Dark Knight and his crime-fighting cousin uncover
the use of Joker toxin. But the Joker is locked up in Arkham
Asylum, or is he? Can Batman and Batwoman get to the bottom of the
jester's joke before the punchline knocks out half of Gotham City?
Find out in this action-packed chapter book for DC Super Hero fans.
Life flows through the universe like a river from an infinite
Source to you. Mostly unseen by our physical senses, it has power,
awareness, intelligence, and the potential to create anything
imaginable. Life engages us constantly, but developing the insight
to see past our superficial experience requires understanding and
practice. New potentials and visions unseen before are revealed.
Spiritual laws are simple and precise but require understanding and
consciousness. Through our ignorance and the effects of a cold
world, our connection with life has been reduced to a mere fraction
of its potential. Developing your consciousness allows you to keep
out the influences of a negative world as well as recognize the
divinity within. The relationship between the consciousness of life
and the divinity within your being is fundamental to the ascension
process. Understanding this process will naturally reflect on your
own development and allow you to navigate through your life more
gracefully, effectively, and with more insight. Within this book
are many tools to assist you with reclaiming your power and
achieving your true freedom.
Transform your being into its true grandeur
Learn how to live life consciously
Improve your meditation practice
Understand the twelve steps of the ascension process
Gain insight into the levels within mass consciousness
Develop solutions to many of life's common obstacles
Apply powerful spiritual laws
Reclaim your power and gain your freedom
A storm is brewing in Central City! The Weather Wizard has
unleashed the fury of his giant weather wand in a bid to get the
city's citizens to cough up their cash. Only when his fundraising
efforts are complete will he leave Central City for good. Now it's
up to The Flash to outrun the lightning and bring his own thunder
to the climate criminal. Can the Scarlet Speedster stop the Weather
Wizard before the villain either robs the city blind or destroys it
in the process? Find out in this action-packed chapter book for DC
Super Hero fans!
Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.
Volume II of this two-volume text and reference work concentrates
on the applications of probability theory to statistics, e.g., the
art of calculating densities of complicated transformations of
random vectors, exponential models, consistency of maximum
estimators, and asymptotic normality of maximum estimators. It also
discusses topics of a pure probabilistic nature, such as stochastic
processes, regular conditional probabilities, strong Markov chains,
random walks, and optimal stopping strategies in random games.
Unusual topics include the transformation theory of densities using
Hausdorff measures, the consistency theory using the upper
definition function, and the asymptotic normality of maximum
estimators using twice stochastic differentiability. With an
emphasis on applications to statistics, this is a continuation of
the first volume, though it may be used independently of that book.
Assuming a knowledge of linear algebra and analysis, as well as a
course in modern probability, Volume II looks at statistics from a
probabilistic point of view, touching only slightly on the
practical computation aspects.
Volume I of this two-volume text and reference work begins by
providing a foundation in measure and integration theory. It then
offers a systematic introduction to probability theory, and in
particular, those parts that are used in statistics. This volume
discusses the law of large numbers for independent and
non-independent random variables, transforms, special
distributions, convergence in law, the central limit theorem for
normal and infinitely divisible laws, conditional expectations and
martingales. Unusual topics include the uniqueness and convergence
theorem for general transforms with characteristic functions,
Laplace transforms, moment transforms and generating functions as
special examples. The text contains substantive applications, e.g.,
epidemic models, the ballot problem, stock market models and water
reservoir models, and discussion of the historical background. The
exercise sets contain a variety of problems ranging from simple
exercises to extensions of the theory. Volume II of this two-volume
text and reference work concentrates on the applications of
probability theory to statistics, e.g., the art of calculating
densities of complicated transformations of random vectors,
exponential models, consistency of maximum estimators, and
asymptotic normality of maximum estimators. It also discusses
topics of a pure probabilistic nature, such as stochastic
processes, regular conditional probabilities, strong Markov chains,
random walks, and optimal stopping strategies in random games.
Unusual topics include the transformation theory of densities using
Hausdorff measures, the consistency theory using the upper
definition function, and the asymptotic normality of maximum
estimators using twice stochastic differentiability. With an
emphasis on applications to statistics, this is a continuation of
the first volume, though it may be used independently of that book.
Assuming a knowledge of linear algebra and analysis, as well as a
course in modern probability, Volume II looks at statistics from a
probabilistic point of view, touching only slightly on the
practical computation aspects.
Discrete probability theory and the theory of algorithms have
become close partners over the last ten years, though the roots of
this partnership go back much longer. The papers in this volume
address the latest developments in this active field. They are from
the IMA Workshops "Probability and Algorithms" and "The Finite
Markov Chain Renaissance." They represent the current thinking of
many of the world's leading experts in the field.
Researchers and graduate students in probability, computer
science, combinatorics, and optimization theory will all be
interested in this collection of articles. The techniques developed
and surveyed in this volume are still undergoing rapid development,
and many of the articles of the collection offer an expositionally
pleasant entree into a research area of growing importance.
Discrete probability theory and the theory of algorithms have
become close partners over the last ten years, though the roots of
this partnership go back much longer. The papers in this volume
address the latest developments in this active field. They are from
the IMA Workshops "Probability and Algorithms" and "The Finite
Markov Chain Renaissance." They represent the current thinking of
many of the world's leading experts in the field. Researchers and
graduate students in probability, computer science, combinatorics,
and optimization theory will all be interested in this collection
of articles. The techniques developed and surveyed in this volume
are still undergoing rapid development, and many of the articles of
the collection offer an expositionally pleasant entree into a
research area of growing importance.
Most probability problems involve random variables indexed by space
and/or time. These problems almost always have a version in which
space and/or time are taken to be discrete. This volume deals with
areas in which the discrete version is more natural than the
continuous one, perhaps even the only one than can be formulated
without complicated constructions and machinery. The 5 papers of
this volume discuss problems in which there has been significant
progress in the last few years; they are motivated by, or have been
developed in parallel with, statistical physics. They include
questions about asymptotic shape for stochastic growth models and
for random clusters; existence, location and properties of phase
transitions; speed of convergence to equilibrium in Markov chains,
and in particular for Markov chains based on models with a phase
transition; cut-off phenomena for random walks. The articles can be
read independently of each other. Their unifying theme is that of
models built on discrete spaces or graphs. Such models are often
easy to formulate. Correspondingly, the book requires comparatively
little previous knowledge of the machinery of probability.
Stochastic calculus has important applications to mathematical
finance. This book will appeal to practitioners and students who
want an elementary introduction to these areas.
From the reviews: "As the preface says, 'This is a text with an
attitude, and it is designed to reflect, wherever possible and
appropriate, a prejudice for the concrete over the abstract'. This
is also reflected in the style of writing which is unusually lively
for a mathematics book." --ZENTRALBLATT MATH
This lively, problem-oriented text, first published in 2004, is
designed to coach readers toward mastery of the most fundamental
mathematical inequalities. With the Cauchy-Schwarz inequality as
the initial guide, the reader is led through a sequence of
fascinating problems whose solutions are presented as they might
have been discovered - either by one of history's famous
mathematicians or by the reader. The problems emphasize beauty and
surprise, but along the way readers will find systematic coverage
of the geometry of squares, convexity, the ladder of power means,
majorization, Schur convexity, exponential sums, and the
inequalities of Hoelder, Hilbert, and Hardy. The text is accessible
to anyone who knows calculus and who cares about solving problems.
It is well suited to self-study, directed study, or as a supplement
to courses in analysis, probability, and combinatorics.
This lively, problem-oriented text, first published in 2004, is
designed to coach readers toward mastery of the most fundamental
mathematical inequalities. With the Cauchy-Schwarz inequality as
the initial guide, the reader is led through a sequence of
fascinating problems whose solutions are presented as they might
have been discovered - either by one of history's famous
mathematicians or by the reader. The problems emphasize beauty and
surprise, but along the way readers will find systematic coverage
of the geometry of squares, convexity, the ladder of power means,
majorization, Schur convexity, exponential sums, and the
inequalities of Hoelder, Hilbert, and Hardy. The text is accessible
to anyone who knows calculus and who cares about solving problems.
It is well suited to self-study, directed study, or as a supplement
to courses in analysis, probability, and combinatorics.
Life flows through the universe like a river from an infinite
Source to you. Mostly unseen by our physical senses, it has power,
awareness, intelligence, and the potential to create anything
imaginable. Life engages us constantly, but developing the insight
to see past our superficial experience requires understanding and
practice. New potentials and visions unseen before are revealed.
Spiritual laws are simple and precise but require understanding and
consciousness. Through our ignorance and the effects of a cold
world, our connection with life has been reduced to a mere fraction
of its potential. Developing your consciousness allows you to keep
out the influences of a negative world as well as recognize the
divinity within. The relationship between the consciousness of life
and the divinity within your being is fundamental to the ascension
process. Understanding this process will naturally reflect on your
own development and allow you to navigate through your life more
gracefully, effectively, and with more insight. Within this book
are many tools to assist you with reclaiming your power and
achieving your true freedom.
Transform your being into its true grandeur
Learn how to live life consciously
Improve your meditation practice
Understand the twelve steps of the ascension process
Gain insight into the levels within mass consciousness
Develop solutions to many of life's common obstacles
Apply powerful spiritual laws
Reclaim your power and gain your freedom
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