The Forty-second Annual ISNA Convention

ASCE 1994 Annual Convention & Exposition

The Miami Conservancy District built five flood control dams after the catastrophic flood of 1913 in Dayton, Ohio. Lockington Dam was one of these five hydraulic fill structures. The Ohio State Department of Natural Resources (ODNR) issued new regulations in 1981 requiring that design flood for class I dams be considered equal to the Probable Maximum Flood (PMF). Flood routing studies performed...

Of the Forty Fourth Annual Meeting

Selected Convention Papers ; Annual International Convention : Behavioral Disorders

PROBLEMS AND ISSUES IN EDUCATING THE JUVENILE OFFENDER

The Forty-Seventh Annual William Lowell Putnam Competition

Done: All A–1 Find, with explanation, the maximum value of f(x) = x−3x on the set of all real numbers x satisfying x +36 ≤ 13x. Solution: Write the constraint as (x − 13/2) + 36 ≤ 169/4 or (x − 13/2) ≤ 25/4. This becomes |x − 13/2| ≤ 5/2 or 4 ≤ x ≤ 9 which is the union of−3 ≤ x ≤ −2 and 2 ≤ x ≤ 3. The given cubic has derivative 3(x−1) which is positive for x > 1 and for x < −1. Thus the maximum...

The Forty-Sixth Annual William Lowell Putnam Competition

Done all A–1 Determine, with proof, the number of ordered triples (A1, A2, A3) of sets which have the property that (i) A1 ∪A2 ∪A3 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, and (ii) A1 ∩A2 ∩A3 = ∅. Express your answer in the form 2357, where a, b, c, d are nonnegative integers. Solution: For each integer i from 1 to 10 you must put i in one of 6 sets: A1 ∩ A2 ∩ A3 or A1 ∩ A2 ∩ A3 or A1 ∩ A2 ∩ A3 or A1...