Answers to exam 1 — Math 4/5/7380 — Spring 05
... 1. In how many ways can you seat 12 people at 2 round tables with 6 places at each? Assuming the two tables are distinct, there are 12 ways to choose who sits at the first, and by ...
... 1. In how many ways can you seat 12 people at 2 round tables with 6 places at each? Assuming the two tables are distinct, there are 12 ways to choose who sits at the first, and by ...
Irrationality of the Zeta Constants
... A real number α ∈ R is called rational if α = a/b, where a, b ∈ Z are integers. Otherwise, the number is irrational. The irrational numbers are further classified as algebraic if α is the root of an irreducible polynomial f (x) ∈ Z[x] of degree deg(f ) > 1, otherwise it is transcendental. Lemma 2.1. ...
... A real number α ∈ R is called rational if α = a/b, where a, b ∈ Z are integers. Otherwise, the number is irrational. The irrational numbers are further classified as algebraic if α is the root of an irreducible polynomial f (x) ∈ Z[x] of degree deg(f ) > 1, otherwise it is transcendental. Lemma 2.1. ...
ON A VARIATION OF PERFECT NUMBERS Douglas E. Iannucci
... p1 | ρ(p42 ) or p2 | ρ(p41 ). With this in mind, it is not difficult to show that neither p1 nor p2 can be one of 7, 43, 13, 139, 157, or 19183. We then proceed as above: ρ(32 ) = 7, ρ(72 ) = 43, ρ(432 ) = 13 · 139, ρ(132 · 1392 ) = 157 · 19183, so we have 73 | ρ(32 · 1572 · 191832 ), implying 73 | ...
... p1 | ρ(p42 ) or p2 | ρ(p41 ). With this in mind, it is not difficult to show that neither p1 nor p2 can be one of 7, 43, 13, 139, 157, or 19183. We then proceed as above: ρ(32 ) = 7, ρ(72 ) = 43, ρ(432 ) = 13 · 139, ρ(132 · 1392 ) = 157 · 19183, so we have 73 | ρ(32 · 1572 · 191832 ), implying 73 | ...
What is an arithmetic sequence?
... amount of stuff they sell, or how much money they make, he could use and arithmetic or geometric sequence. If the owner had a pattern of how much money they make as time progresses, that is a sequence. The owner also needs these sequences if he/she wants to predict the earnings of his or her store ...
... amount of stuff they sell, or how much money they make, he could use and arithmetic or geometric sequence. If the owner had a pattern of how much money they make as time progresses, that is a sequence. The owner also needs these sequences if he/she wants to predict the earnings of his or her store ...
2.4 BCD 2.5 Signed numbers
... • BCD is wasteful of bits. • The conversion between BCD and binary is complicated. Thus most arithmetic operations are done with binary rather than other representations. (However it is possible to implement arithmetic in BCD but with a carry between the columns). ...
... • BCD is wasteful of bits. • The conversion between BCD and binary is complicated. Thus most arithmetic operations are done with binary rather than other representations. (However it is possible to implement arithmetic in BCD but with a carry between the columns). ...
