# Other Math

## Determine whether each of the following is true or false. If true, prove the statement. If false, find a counterexample.

Determine whether each of the following is true or false. If true, prove the statement. If false, find a counterexample. a) For all integers a, b,and c, if a | b and a | c then a | (3b − 5c). b) For all integers a ≥ 4 and b, if a | 3b then …

## Write the function in the form f (z) = u (x,y) + iv (x,y) and find all points where the Cauchy-Riemann equations are satisfied

Write the function in the form f (z) = u (x,y) + iv (x,y) and find all points where the Cauchy-Riemann equations are satisfied EXPERT ANSWER

## Suppose our stream consists of the integers 3, 1, 4, 1, 5, 9, 2, 6, 5. Our hash functions will all be of the form h(x) = ax+b mod 32 for some a and b. You should treat the result as a 5-bit binary integer. Determine the tail length for each stream element and the resulting estimate of the number of distinct elements if the hash function is

Suppose our stream consists of the integers 3, 1, 4, 1, 5, 9, 2, 6, 5. Our hash functions will all be of the form h(x) = ax+b mod 32 for some a and b. You should treat the result as a 5-bit binary integer. Determine the tail length for each stream element and the …