Thesis - Connected Mathematics: Building Concrete Relationships
... without value, stayed up with me when I was anxious, took over household responsibilities when I was overwhelmed by work, and she did all this cheerfully, without complaint. I can only hope I will have the opportunity to do the same for her. ...
... without value, stayed up with me when I was anxious, took over household responsibilities when I was overwhelmed by work, and she did all this cheerfully, without complaint. I can only hope I will have the opportunity to do the same for her. ...
Conditioning using conditional expectations: The Borel
... are well defined and the mathematical definition of conditional probability by Bayes’ formula, which looses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize, and this t ...
... are well defined and the mathematical definition of conditional probability by Bayes’ formula, which looses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize, and this t ...
The Probability of Inconsistencies in Complex Collective Decisions
... benchmark case of such a probability vector. An alternative approach is to assume that all logically possible vectors of the form are equally likely to occur (see
Gehrlein 1981 on this approach in the context of Condorcet’s paradox). Let E(P*n) denote
the expected value of P*n u ...
... benchmark case of such a probability vector. An alternative approach is to assume that all logically possible vectors of the form
Parallel and Concurrent Security of the HB and HB Protocols
... where the probabilities are taken over the answers D receives from its oracle. We restrict our attention to s, ω for which Eq. (1) holds and show that in this case M outputs s0 = s with probability at least 1/2. The theorem follows. Setting N = Θ(δ −2 log(k)), we can ensure that ¯ h ...
... where the probabilities are taken over the answers D receives from its oracle. We restrict our attention to s, ω for which Eq. (1) holds and show that in this case M outputs s0 = s with probability at least 1/2. The theorem follows. Setting N = Θ(δ −2 log(k)), we can ensure that ¯ h ...