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STA – Statistics and Probability. Virtual University of Pakistan iii. Box and Whisker Plot. Pearson's Coefficient of Skewness. LECTURE NO. Bowley's. ARPANET – .. Intel – .. Altair presented by Dr. Pervez Amirali Hoodbhoy, professor of physics at Quaid-e- Azam University,. Islamabad, for the Virtual University of Pakistan,. Lahore.
Both the initial and final states can be expressed as predicates involving the input and output variables. Often the predicate describing the initial state is called the pre-condition of the algorithm and the predicate describing the final state is called the post-condition of the algorithm.
Algorithm to compute a product of two nonnegative integers pre-condition: The input variables m and n are nonnegative integers.
Algorithm to find the quotient and remainder of the division of one positive integer by another pre-condition: The input variables a and b are positive integers.
Algorithm to sort a one-dimensional array of real numbers Pre-condition: The input variable A, A,.
A[n] is a one-dimensional array of real numbers. B[n] is a one-dimensional array of real numbers with same elements as A, A,.
It is based on the principle of mathematical induction. None contain branching statements that lead outside the loop. Also let a predicate I n , called the loop invariant, be given. If the following four properties are true, then the loop is correct with respect to its pre- and post-conditions.
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