PROBABILITY AND STATISTICS - ERNET
!are called elementary probabilities. Any subset A is called an event. For an event Awe define its probability as P(A) = P!2A p!. Any function X: !R is called a random variable. For a random variable we define its expected value or mean as E[X] = P!2 X(!)p!. All of probability in one line: Take an (interesting) probability space (;p) and an ...
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First Order Partial Differential Equations, Part - 1 ...
math.iisc.ernet.inSymbols for various domains used In this lecture we denote by Da domain in R2 where a solution is de ned, by D 1 a domain in R2 where the coe cients of a linear equation are de ned and by D 2 is a domain in(x;y;u)-space i.e., R3 nally by D 3 a domain in R5 where the function F of ve independent variables is de ned.
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