Sentence examples for calculus of probability from inspiring English sources
The first part discusses some basic forms of deductive and inductive inferences and introduces the mathematical calculus of probability.
Examines interpretations and applications of the calculus of probability including applications as a measure of degree of belief, degree of confirmation, relative frequency, a theoretical property of systems, and other notions of objective probability or chance.
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.
In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability into a rigorous and pure mathematical theory.
Inductive probability operates differently from the classical calculus of probability.
Joining the faculty of the University of Paris, he served as lecturer on the calculus of probabilities (1928 33), professor of general mathematics (1933 35), professor of differential and integral calculus (1935 40), and professor of the calculus of probabilities (1940 48).
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.
