ECS 20 Study Guide - Midterm Guide: Number Theory, Natural Number, Absorption Law

• School: UC-Davis
• Department: Engineering: Computer Science
• Course: ECS 20
• Professor: All

Document Summary

Notes: midterm is open book, open notes. Let a, b, and c be three sets in a domain d. show that a a b. Part ii: functions (2 questions; each 10 points; total 20 points: let x and y be two real numbers such that x z and y z but x + y z . Show that x + y = x + y 1: let n be a natural number and let x be a real number. Id:______ __________________________: show that the remainder of the long division of the square of an odd integer by 8 is always 1. Part iv: extra credit (3 points: (1 point) let n be a natural number. Show that 5n is odd: (2 points) using the result from a), show that log10(2) is irrational. Let a, b, and c be three sets in a domain d. show that a(cid:83)(cid:0)a(cid:84) b(cid:1)(cid:83)(cid:0)a(cid:84) b(cid:84) c(cid:1) = a(cid:83) b(cid:83) c.