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Dynamics of Spacecraft and Manipulators segun Thomas
"... The status and some recent developments of dynamic analysis and simulation of spacecraft and manipulators are summarized. Discussion focuses on a number of aspects: common methods for the rigid body analyses of spacecraft and manipulations; how one of these methods could be extended to include cons ..."
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. Also, different approaches for generating dynamical equations are illustrated and comparisons made between them. How dynamical equations could be developed for constrained systems is demonstrated. Lastly, effect and consequences of using the EulerBernoulli theory to represent a beam is discussed
An Extension of the SumtheOdds Theorem to the Stopping Problems on the Bernoulli Trials of Random Length
"... The optimal stopping problem of choosing the best item from the population of unknown size has been studied by Presman and Sonin [4], Irle [2] and Petruccelli [3]. As an extension of this problem, we consider the problem of maximizing the probability of stopping on the last success on the independen ..."
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on the independent Bernoulli trials and the problem of stopping on the last success when the Bernoulli random variables are Markov dependent. Moreover we consider the stopping problem with refusal. References [1] F.Thomas Bruss. Sum the odds to one and stop. Ann. Probab., 28(3):1384–
Direct and indirect influences of Jakob Bernoulli's ��� ���������� � in 18 th century Great Britain
"... The Ars Conjectandi influenced British mathematicians in three different ways. By the second book, Bernoulli showed himself as a pioneer of combinatorial methods whose work was eventually translated into English in 1795. Jakob Bernoulli's tract on infinite series, which was appended to the Ars ..."
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The Ars Conjectandi influenced British mathematicians in three different ways. By the second book, Bernoulli showed himself as a pioneer of combinatorial methods whose work was eventually translated into English in 1795. Jakob Bernoulli's tract on infinite series, which was appended to the Ars
Routing and Broadcasting in AdHoc Networks
"... I would like to thank Prof. Dr. Torsten Braun, head of the Computer Network and Distributed Systems group (RVS), for supervising this work and for his insightful advises. Prof. Dr. Torsten Braun encouraged and motivated me to publish my research results and he provided me the opportunity to present ..."
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. There are many students who worked with me and helped a lot in developing and implementing. Among them I especially thankful to Thomas Bernoulli,
The sumtheOdds theorem with application to a stopping game of Sakaguchi, http://www.math.ucla.ucls.edu/ tom
"... The optimal stopping problem of maximizing the probability of stopping on the last success of a finite sequence of independent Bernoulli trials has been studied by Hill and Krengel [2] and Bruss [1].The optimal stopping rule of Bruss stops when the sum of the odds of future successes is less than ..."
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The optimal stopping problem of maximizing the probability of stopping on the last success of a finite sequence of independent Bernoulli trials has been studied by Hill and Krengel [2] and Bruss [1].The optimal stopping rule of Bruss stops when the sum of the odds of future successes is less than
INSIGHTS
"... tatisticians have celebrated a lot recently. 2013 marked the 300th anniversary of Jacob Bernoulli’s Ars Conjectandi, which used probability theory to explore the properties of statistics as more observations were taken. It was also the 250th anniversary of Thomas Bayes ’ essay on how humans can se ..."
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tatisticians have celebrated a lot recently. 2013 marked the 300th anniversary of Jacob Bernoulli’s Ars Conjectandi, which used probability theory to explore the properties of statistics as more observations were taken. It was also the 250th anniversary of Thomas Bayes ’ essay on how humans can
Asymptotics of the entropy rate for a hidden Markov process
 J. Stat. Phys
, 2005
"... Abstract. We calculate the Shannon entropy rate of a binary Hidden Markov Process (HMP), of given transition rate and noise ɛ (emission), as a series expansion in ɛ. The first two orders are calculated exactly. We then evaluate, for finite histories, simple upperbounds of Cover and Thomas. Surprisi ..."
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Abstract. We calculate the Shannon entropy rate of a binary Hidden Markov Process (HMP), of given transition rate and noise ɛ (emission), as a series expansion in ɛ. The first two orders are calculated exactly. We then evaluate, for finite histories, simple upperbounds of Cover and Thomas
ON A SYSTEM OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL ECONOMICS
, 1966
"... The theory of utility in the social sciences dates back to studies of Daniel Bernoulli, and can be considered as an attempt to extend the ideas of the calculus of variations into the realm of economics. One approach to utility theory consists of deriving a realvalued utility function from a simple ..."
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The theory of utility in the social sciences dates back to studies of Daniel Bernoulli, and can be considered as an attempt to extend the ideas of the calculus of variations into the realm of economics. One approach to utility theory consists of deriving a realvalued utility function from a simple
Sex Ratio Theory, Ancient and Modern — An 18 th Century Debate about Intelligent Design and the Development of Models in Evolutionary Biology
"... The design argument for the existence of God took a probabilistic turn in the 17 th and 18 th centuries. Earlier versions, such as Thomas Aquinas ’ 5 th way, usually embraced the premise that goaldirected systems (things that “act for an end ” or have a function) must have been created by an intelli ..."
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The design argument for the existence of God took a probabilistic turn in the 17 th and 18 th centuries. Earlier versions, such as Thomas Aquinas ’ 5 th way, usually embraced the premise that goaldirected systems (things that “act for an end ” or have a function) must have been created
How Euler Did It Gamma the function
, 2007
"... Euler gave us two mathematical objects now known as “gamma. ” One is a function and the other is a constant. The function, Γ ( x), generalizes the sequence of factorial numbers, and is the subject of this month’s column. A nice history of the gamma function is found in a 1959 article by Philip Davis ..."
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in 1728, Daniel Bernoulli and Christian Goldbach were already working on problems in the “interpolation of sequences. ” Their problem was to find a formula 2 that “naturally expressed ” a sequence of numbers. For example, the formula n “naturally expresses” nn+ ( 1) the sequence of square numbers, 1, 4, 9
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