chapter 7

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So far, we have assumed that the elementary events are equally likely and we have used the corresponding definition of probability. However the same definition of conditional probability can also be used when the elementary events are not equally likely. This will be clear from the following examp..

Reaction takes place in acidic medium, so add H+ ions to the side deficient in H+ and balance H and O atoms..

Note that the 'NOT' operation is a unary operator, whereas 'AND' and 'OR' operators are binary operators. We have already discussed what a Boolean function is. Here is a formal definition for Boolean expression and Boolean functio..

A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..

2x = 16 ..

Let y = f (x). The derivative of f at x is denoted by f '(x). Finding the derivative of a function using the above definition is called differentiation from first principle..

Large, well formed crystals can be obtained, by the slow evaporation of a cold and saturated solution of the substance. A large crystal can be grown by suspending a small well formed crystal, in a cold and saturated solution of the substance. The solution must be taken into a very clean beaker. Dus..