Let (a1, b1) and (a2, b2) be open intervals (a1 < b1 and a2 < b2). Show that the Cartesian product (a1,b1) × (a2, b2) is an open region.

---DON'T CARES IN KARNAUGH MAPS (K-MAPS). 5.) Given this truth table, find the unoptimized formula this corresponds to, along with the version which was optimized with a K-Map. A B C D | O 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 X 0 1 x 0 x 0 x 0 1 0 1 0 X 0 Unoptimized Sum of Products equation 5a) 0 = Draw the K-map and simplify Optimized Sum of Products equation 5b) 0 =

Algorithm DEGENERATIONSGiven a rational proper parametrization P(t) =
χ1 1(t) χ1 2(t) , χ2 1(t) χ2 2(t)∈ L(t)2,where L is a computable subfield of R, of an affine rational curve C, the algorithm computes DP

The header record of a batch file contains totals of items in the file. Each time the file is processed, the totals are also updated. Nightly, after the batch processes, the relevant data fields are summed and compared with the totals. Unbalanced conditions are reported and corrected. This example describes: a) Segregation of duties b) Application output control c) Application edit check d) Applicaiton input control