MATH 311: COMPLEX ANALYSIS — COMPLEX NUMBERS
... • Q is not complete: limits that “ought” to exist in Q fail to do so, e.g., 2. • Q is not algebraically closed: polynomials that “ought” to have solutions in Q fail to do so, e.g., X 2 + 1. The smallest complete field containing Q is the real numbers R. But R is not algebraically closed, e.g., X 2 + ...
... • Q is not complete: limits that “ought” to exist in Q fail to do so, e.g., 2. • Q is not algebraically closed: polynomials that “ought” to have solutions in Q fail to do so, e.g., X 2 + 1. The smallest complete field containing Q is the real numbers R. But R is not algebraically closed, e.g., X 2 + ...
RATIONAL NUMBERS: Know the definitions of whole numbers
... RATIONAL NUMBERS: Know the definitions of whole numbers, integers, natural numbers and rational numbers. Be able to give an example of each. Give an example of a natural number: 1 Give an example of a whole number: 1 ...
... RATIONAL NUMBERS: Know the definitions of whole numbers, integers, natural numbers and rational numbers. Be able to give an example of each. Give an example of a natural number: 1 Give an example of a whole number: 1 ...
Rational Numbers and Operations
... Mathematical Definition: A rational number is any number that can be written in the m form where m and n are both integers but n cannot be zero. n Set builder notation: Q = ...
... Mathematical Definition: A rational number is any number that can be written in the m form where m and n are both integers but n cannot be zero. n Set builder notation: Q = ...
b - cloudfront.net
... write this in powers of ten in (a) years, (b) seconds. P2. (I) How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, ...
... write this in powers of ten in (a) years, (b) seconds. P2. (I) How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, ...
Introduction Sets and the Real Number System Sets: Basic Terms
... Introduction Sets and the Real Number System Sets: Basic Terms and Operations Definition (Set) A set is a well-defined collection of objects. The objects which form a set are called its members or Elements. Examples: a) The set of Students in MTH 101C b) The set of counting numbers less than 10. ...
... Introduction Sets and the Real Number System Sets: Basic Terms and Operations Definition (Set) A set is a well-defined collection of objects. The objects which form a set are called its members or Elements. Examples: a) The set of Students in MTH 101C b) The set of counting numbers less than 10. ...
Operations on Rational Numbers
... 21 is read “the first power of two” or just “two.” 22 is read “the second power of two” or just “two squared.” 23 is read “the third power of two” or just “two cubed.” 24 is read “the fourth power of two.” 25 is read “the fifth power of two.” b5 is read “the fifth power of b.” nth Power of a If a is ...
... 21 is read “the first power of two” or just “two.” 22 is read “the second power of two” or just “two squared.” 23 is read “the third power of two” or just “two cubed.” 24 is read “the fourth power of two.” 25 is read “the fifth power of two.” b5 is read “the fifth power of b.” nth Power of a If a is ...