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Recursion - UWO Computer Science

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... metric nature of filters: The left-hand operand must be a singleton and is never returned, while the right-hand operand is a value, part of which may be returned. Filters can also be used in conditionals. The expression if c then e1 else e2 evaluates the expression c. If this evaluates to a non-emp ...
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The Python range() function, for in loops

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Section 1.6 The Factor Game

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... concrete. The height (in inches) of a randomly selected segment is uniformly distributed in (35.5, 36.5). A roadway can be laid across the two towers provided the heights of the two towers are within 4 inches. Find the probability that the roadway can be laid. Solution: The heights of the two towers ...
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... Except for rational numbers all real numbers have irrationality exponent greater than or equal to 2. This means that for each irrational number x, the supremum of the set {z : there are infinitely many rationals p/q such that |x − p/q| < 1/q z } is greater than or equal to 2. On the other hand, most ...
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... To identify a possible factor pair combination, we can list some or all of the factor pairs of the product number and then identify which pair adds to the sum number. It’s easiest to understand the Factor Game through examples. Look over each example carefully, and follow it through to get a full un ...
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... b 2 . We verified Eq. (12) by direct comparison with the recursion relation and by using RSolve in MATHEMATICA®; the solutions are all in agreement. The results of Eqs. (10) and (12) are in agreement with those of Kappraff and Adamson 2004, for which b = 1. In that case, we always have β = −1 α . An ...
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