Chapter #2 Lecture Notes
... o The 3 is in the numerator. o The 4 is in the denominator. A proper fraction is less than one. That means the numerator is less than the denominator. For example, ¾ is a proper fraction because it is < 1. A mixed number is a number that is greater than 1 that has a whole number part and a fract ...
... o The 3 is in the numerator. o The 4 is in the denominator. A proper fraction is less than one. That means the numerator is less than the denominator. For example, ¾ is a proper fraction because it is < 1. A mixed number is a number that is greater than 1 that has a whole number part and a fract ...
Section 1 - OER Africa
... When evaluating a sum consisting of fractions for which a common denominator can be found which is smaller than the product of the two denominators as described in property 4 above, the following procedure is used. Each denominator is factored into prime factors (factors that can only divide into 1 ...
... When evaluating a sum consisting of fractions for which a common denominator can be found which is smaller than the product of the two denominators as described in property 4 above, the following procedure is used. Each denominator is factored into prime factors (factors that can only divide into 1 ...
CHAPTER 3 Counting
... We have six remaining choices (A,B,C,D,F or G) for the second entry, five choices for the third entry and four choices for the fourth entry. Hence there are 6 · 5 · 4 = 120 lists having an E in the first entry. As indicated in the above diagram, there are also 6 · 5 · 4 = 120 lists having an E in th ...
... We have six remaining choices (A,B,C,D,F or G) for the second entry, five choices for the third entry and four choices for the fourth entry. Hence there are 6 · 5 · 4 = 120 lists having an E in the first entry. As indicated in the above diagram, there are also 6 · 5 · 4 = 120 lists having an E in th ...
Everything You Need to Know About Modular
... Definition Two numbers are relatively prime if their prime factorizations have no factors in common. Theorem Let m ≥ 2 be an integer and a a number in the range 1 ≤ a ≤ m − 1 (i.e. a standard rep. of a number modulo m). Then a has a multiplicative inverse modulo m if a and m are relatively prime. Ex ...
... Definition Two numbers are relatively prime if their prime factorizations have no factors in common. Theorem Let m ≥ 2 be an integer and a a number in the range 1 ≤ a ≤ m − 1 (i.e. a standard rep. of a number modulo m). Then a has a multiplicative inverse modulo m if a and m are relatively prime. Ex ...
On the Classification and Algorithmic Analysis of Carmichael Numbers
... is the run-time of the deterministic primality test that is combined with the original algorithm. Detailed analyses of these efficiencies are provided in Sections 3.5 and 3.9. ...
... is the run-time of the deterministic primality test that is combined with the original algorithm. Detailed analyses of these efficiencies are provided in Sections 3.5 and 3.9. ...
