Where is a Riemann Sum applicable in real life?
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$3 Answers
For example, it's virtually impossible to find a function that exactly represents the contours of a leaf on a tree outside. If you wanted to find the area of a side of the leaf, you certainly can't rely on plain integration. Riemann sums can help you approximate the area. In terms of even versus uneven intervals, there's really not a huge difference from a mathematical perspective. It really depends on what information you have about the underlying curve.
My bachelor's degree in Applied Mathematics obtained from U.C. Berkeley.
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$This probably explains it better than I could: http://www.usna.edu/MathDept/website/courses/calc_labs/area/Application.html
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$
In this example the subintervals are all evenly spaced, meaning a simpler version of the Riemann Sum formula can be used, but I am looking for an example that has uneven intervals, if I can justify being able to use it, I can learn it better for school.
Thanks for the website though, it is a good reference point!
So do you mean a Riemann Integral by any chance then?
A Riemann Integral single point approximations of the Riemann Sum to give you a more accurate approximation than a Riemann Sum.
http://en.wikipedia.org/wiki/Riemann_integral
Here is maybe a bit easier to understand example that shows how to use 3 different methods of Riemann Sums and a Riemann Integral equation:
http://planetmath.org/encyclopedia/ExampleOfEstimatingARiemannIntegral.html
You can leave an optional "tip" with Mahalo's virtual currency, Mahalo Dollars. If you are asking a difficult question that might require some research, or if you'd like a wide variety of feedback, a higher tip often leads to more answers to your question.
M$
Gotta say it , if thats a picture of you your freakin beautiful