A Treatise on Infinitesimal Calculus ... |
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Page 265
... the continuity of PRICE , VOL . II . M m the functions extends ; and the values at the limits 199. ] 265 PERIODIC SERIES . The problem of probabilities for which infinite summation is required Examples of the problem 367.
... the continuity of PRICE , VOL . II . M m the functions extends ; and the values at the limits 199. ] 265 PERIODIC SERIES . The problem of probabilities for which infinite summation is required Examples of the problem 367.
Page 366
... Probability ; so that the preceding principle is valid when the word Probability is re- placed by the word Chance . Hence we have the following definitions ; The chance or probability in favour of an event is the ratio of the number of ...
... Probability ; so that the preceding principle is valid when the word Probability is re- placed by the word Chance . Hence we have the following definitions ; The chance or probability in favour of an event is the ratio of the number of ...
Page 367
... probability against an event is a fraction of which the numerator is the number of the unfavourable events , and the denominator is that of all the events . The sum of these probabilities is unity ; and as one or other of the possible ...
... probability against an event is a fraction of which the numerator is the number of the unfavourable events , and the denominator is that of all the events . The sum of these probabilities is unity ; and as one or other of the possible ...
Page 368
... probability that it does not fall across one of the dividing lines of the surface ? Let a = the side of each square , and r = the radius of the coin . As all the squares are equal , it is evident that the estimation of the chance for ...
... probability that it does not fall across one of the dividing lines of the surface ? Let a = the side of each square , and r = the radius of the coin . As all the squares are equal , it is evident that the estimation of the chance for ...
Page 369
... which could be made out of the original four points . Consequently A'B'C ' is the area of all possible events ; PRICE , VOL . II . 3 B that is , of events consistent with the asumption that 265. ] 369 TO THE CALCULUS OF PROBABILITIES .
... which could be made out of the original four points . Consequently A'B'C ' is the area of all possible events ; PRICE , VOL . II . 3 B that is , of events consistent with the asumption that 265. ] 369 TO THE CALCULUS OF PROBABILITIES .
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A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2015 |
Common terms and phrases
a₁ a₂ angle application axis Beta-function bx dx consequently convergent series coordinates cosec cx² cycloid definite integral denoted determined differential double integral dx a² dx dx dx dy dx Ex dx² dy dx dy² e-ax element-function ellipse equal evaluation expressed find the area finite and continuous fraction function Gamma-function geometrical given Hence infinite infinitesimal infinitesimal element Integral Calculus intrinsic equation involute left-hand member length let us suppose limits of integration multiple integrals plane curve polar coordinates preceding proper fraction radius range of integration replaced result right-hand member subject-variable substituting surface symbols theorem tion values variable x-integration x₁ x²)¹ x²)³ αξ πα