Further, there is a similar equivalency between material implication and set inclusion (indeed, often it is represented with the same symbol). This leads us to the above view that, for the purposes of developing abstractions of logical consequence, one possible direction is to treat these ...
(As a consequence, instead of the Xns and X one could use the Xns and X′, without loss of generality, and also ensure that X′ is σ(X1′,X2′,…)-measurable.) (iv) Consider the measurable space (Ω,A,μ), and suppose that, for some ω0∈Ω,{ω0}∈A and μ({ω0})=0...
In this paper we revisit an open problem posed by Aldous on the max-entropy win-probability martingale: given two players of equal strength, such that the win-probability is a martingale diffusion, which of these processes has maximum entropy and hence gives the most excitement for the spectators?
Defining a specific influential peak event (type of failures at the technical system level, as the ultimate consequence of types of element failures), 5. Constructing a failure tree for the peak event, to the fullest detail possible, using the rules of prescribed logic, 6. Conducting qualitative...
aFor a cognitively gifted and exquisitely social species like ours,what are those broad psychological variations on the general design that are of most consequence for adaptation to group life? 为一个认知有天赋和精妙地社会种类喜欢我们的,什么是多数后果为了适应能编组生活的那些宽广的心理变异在一般设计...
We used the log transformation to get ASA "closer" to normality, and, as a consequence, the two observations with ASA values of 0 also get eliminated from the estimation dataset (be- cause log(0) is undefined). ASA, like psi, has "heavy" tails. The selected model is shown in Table ...
1.In the end,according to the fuzzy evaluation matrix and the weighting coefficient of each factor,the failure probability and the failure consequence for the development risk are evaluated by the fuzzy-based assessment method,and the development risk value is obtained from the failure probability an...
to the fuzzy evaluation matrix and the weighting coefficient of each factor,the failure probability and the failure consequence for the development risk are evaluated by the fuzzy-based assessment method,and the development risk value is obtained from the failure probability and the failure consequence...
In this section we explain how Lemma 18 is a consequence of results from [1]. In what follows, we let BR(z)={z′∈R2:|z′−z|=R} denote the disk of radius R centered at z∈R2.Proof of Lemma 18As mentioned in Remark 19, Lemma 18 essentially coincides with Theorem 1.5 of [...
A consequence of this definition is that the probability of an event is affected by the knowledge of probability of another event. We see from the expression above that if A and B are mutually exclusive, the conditional probability is zero because P(A·B) = 0. If A and B are independent...