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... m and n. If their values are restricted to natural (counting) numbers, then there are a finite number of solutions for (m,n): (1,4), (2,3), (3,2), and (4,1). If m and n are not limited to the natural numbers, then there are infinite solutions for (m,n) since there are infinite solutions to the equat ...
Issue 5 - CJM - Right Angle
Issue 5 - CJM - Right Angle

How REAL is the Real Line?
How REAL is the Real Line?

Complex Numbers.Voltage application
Complex Numbers.Voltage application

... To add/subtract complex numbers, add/subtract their real parts and their imaginary parts separately. To multiply complex numbers, use the distributive property or FOIL as normal. ...
Lecture 22 - Duke Computer Science
Lecture 22 - Duke Computer Science

Lecture 23
Lecture 23

Real Numbers Common Mistakes
Real Numbers Common Mistakes

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the phrase book
the phrase book

Sequences as Functions Learning Task
Sequences as Functions Learning Task

... The first six sequences above are finite sequences, because they contain a finite number of terms. The last three are infinite sequences because they contain an infinite number of terms. The three dots, called ellipses, indicate that some of the terms are missing. Ellipses are necessary for infinit ...
Introduction To Real Numbers
Introduction To Real Numbers

... 7. Rational Numbers: Numbers that include fractions and decimal numbers. 8. Irrational Number: Numbers that have decimal representation that neither terminates nor repeats. 9. Real number: Irrational number + Rational number. ...
Section 3.3 Reading Assignment Due 9 AM, Tuesday 5/7. Please
Section 3.3 Reading Assignment Due 9 AM, Tuesday 5/7. Please

Unit 1: Value and Magnitude of Rational Numbers
Unit 1: Value and Magnitude of Rational Numbers

The Real Number System
The Real Number System

Notes 2.7 – Rational Functions
Notes 2.7 – Rational Functions

Impossible, Imaginary, Useful Complex Numbers
Impossible, Imaginary, Useful Complex Numbers

lecture24 - Duke Computer Science
lecture24 - Duke Computer Science

... How could it be???? The rationals are dense: between any two there is a third. You can’t list them one by one without leaving out an infinite number of them ...
Problem of the Week #16
Problem of the Week #16

Sequences as Functions Learning Task
Sequences as Functions Learning Task

... Sequences as Functions Learning Task In your previous study of functions, you have seen examples that begin with a problem situation. In some of these situations, you needed to extend or generalize a pattern. In the following activities, you will explore patterns as sequences and view sequences as f ...
Investigating Doubling and Halving
Investigating Doubling and Halving

skills summary - SAT
skills summary - SAT

... When the average of a list of n numbers is given, the sum of the numbers can be found. For example, if the average of six numbers is 12, the sum of these six numbers is 12 x 6, or 72. The median of a list of numbers is the number in the middle when the numbers are ordered from greatest to least or f ...
Full text
Full text

Finding Absolute Value and Adding/Subtracting Real Numbers
Finding Absolute Value and Adding/Subtracting Real Numbers

... Keep the sign of the larger number Then you’ll be exact. ...
Lecture Notes 2: Infinity
Lecture Notes 2: Infinity

... The infinite turns out to be the contrary of what it is said to be. It is not what has nothing outside it that is infinite, but what always has something outside it… A quantity is infinite if it is such that we can always take a part outside what has been already taken. On the other hand, what has ...
Complex numbers 1
Complex numbers 1

... Now, try this one: Example 2 5x2 – 6x + 5 = 0 If you try to solve this in the same way as you did the first one you get: x = (6   62 – 4 *5 *5 )/2 * 5 = (6   -64)/10 Now you have to find what the square root of (-64 ) is. It can not be 8 and it can not be –8 either as both these give the value + ...
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Hyperreal number

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