Topology and functions
Not what you're looking for?
Topology
Sets and Functions (XXXIII)
Functions
Two mappings f : X --> [Y and g : X --> Y are said to be equal ( and we write this f = g )
if f(x) = g(x) for every x in X. Let f, g and h be any three mappings of a non-empty set X
into itself, and show that multiplication of mappings is associative in the sense that
f(gh) = (fg)h.
See the attached file.
Purchase this Solution
Solution Summary
This solution is comprised of a detailed explanation that multiplication of mappings is associative in the sense that f(gh) = (fg)h.
It contains step-by-step explanation of the following problem:
Two mappings f : X --> Y and g : X --> Y are said to be equal ( and we write this f = g )
if f(x) = g(x) for every x in X. Let f, g and h be any three mappings of a non-empty set X
into itself, and show that multiplication of mappings is associative in the sense that
f(gh) = (fg)h.
Education
- BSc, Manipur University
- MSc, Kanpur University
Recent Feedback
- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
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.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.