Equivalence classes
Not what you're looking for?
Question in attachment is as follows:
Consider all lines in the plane. If a relationship between 2 lines is defined by the expression that their slopes are equal, prove that this relationship is an equivalence relationship.
If we consider the set of all lines in the plane, how would you uniquely identify the equivalence classes?
(Formulas and remainder of question found in attachment)
Purchase this Solution
Solution Summary
This shows how to uniquely identify the equivalence classes. The set of all lines in the planes are calculated.
Solution Preview
In order to prove that a relationship is an equivalence relationship, one must show reflexivity, symmetry and transitivity.
Let x, y and z be lines in the plane
reflex: x R ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.