Sentence examples for calculus of probabilities from inspiring English sources
In the last treatise, a fragment of the De Alea Geometriae, he laid the foundations for the calculus of probabilities.
Among his major works are Leçons d'analyse fonctionnelle (1922, 2nd ed., 1951; "Lessons in Functional Analysis"); Calcul des probabilités (1925; "Calculus of Probabilities"); Théorie de l'addition des variables aléatoires (1937 54; "The Theory of Addition of Multiple Variables"); and Processus stochastiques et mouvement brownien (1948; "Stochastic Processes and Brownian Motion").
In 1889 Bertrand's research on infinitesimal analysis led to his important work, Calcul des probabilités ("Calculus of Probabilities"), which introduced the problem known as Bertrand's paradox concerning the probability that a "random chord" of a circle will be shorter than its radius.
A calculus of probabilities simply did not exist before the seventeenth century.[2] Pre-modern probability was a qualitative predicate mainly applied to propositions (e.g., by calling an opinion probable), but extending to other subject matters as well.
What this means in practice is that the calculus of probability that is deployed within the imaginary world of a novel is not the same as that which obtains outside it; this is why it is commonly said, "If this were in a novel, no one would believe it".
Yet fortunately, from time to time, there have also been movements that celebrated the unheard-of and the improbable: surrealism for instance, and most significantly, magical realism, which is replete with events that have no relation to the calculus of probability.
Consequently, the calculus of probability problematizes and de-problematizes the future that the calculus itself pretends to anticipate.
He claimed that the application of probability concepts does not involve any presuppositions about the external world and the law of causality, for the calculus of probability is purely a priori and is solely derived from the concept of probability itself.
Assuming that the two processes are indeed independent, the equations following from the calculus of probability as discussed by Borisov et al. [ 4] can be transformed to Equation 20 which leads to a different interpretation of the same equations [ 3].
The calculus of probability and benefit may affect the manner of our choosing between two courses of rescue, but the choice of present rescue over future cannot be justified by denying that there is any obligation to future rescue at all.
