Mathemaniac | How many terms do we need in the exp series? @mathemaniac | Uploaded 1 year ago | Updated 6 minutes ago
The exponential function is expressed in terms of the series, but practically, how many terms do we need to compute it to some desired accuracy? Well, it turns out the answer to that is quite interesting.
Oscar's video on how computers actually compute the exponential series: youtu.be/NorMJ5PO3Hc
For the files created for this video, please visit mathemaniac.co.uk/download and enter the password:
cltoutofnowhere
and follow the instructions on the website. If you can't enter the website, watch the latest video! It always changes when a new video is up.
Sources:
Central Limit Theorem: en.wikipedia.org/wiki/Central_limit_theorem
The problem that inspired this video (last question on the problem sheet): dpmms.cam.ac.uk/study/IA/Probability/2017-2018/ex4.pdf
Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels:
https://forms.gle/QJ29hocF9uQAyZyH6
If you want to know more interesting Mathematics, stay tuned for the next video!
SUBSCRIBE and see you in the next video!
If you are wondering how I made all these videos, even though it is stylistically similar to 3Blue1Brown, I don't use his animation engine Manim, but I use PowerPoint, GeoGebra, and (sometimes) Mathematica to produce the videos.
Social media:
Facebook: facebook.com/mathemaniacyt
Instagram: instagram.com/_mathemaniac_
Twitter: twitter.com/mathemaniacyt
Patreon: patreon.com/mathemaniac (support if you want to and can afford to!)
Merch: mathemaniac.myspreadshop.co.uk
Ko-fi: ko-fi.com/mathemaniac [for one-time support]
For my contact email, check my About page on a PC.
See you next time!
The exponential function is expressed in terms of the series, but practically, how many terms do we need to compute it to some desired accuracy? Well, it turns out the answer to that is quite interesting.
Oscar's video on how computers actually compute the exponential series: youtu.be/NorMJ5PO3Hc
For the files created for this video, please visit mathemaniac.co.uk/download and enter the password:
cltoutofnowhere
and follow the instructions on the website. If you can't enter the website, watch the latest video! It always changes when a new video is up.
Sources:
Central Limit Theorem: en.wikipedia.org/wiki/Central_limit_theorem
The problem that inspired this video (last question on the problem sheet): dpmms.cam.ac.uk/study/IA/Probability/2017-2018/ex4.pdf
Other than commenting on the video, you are very welcome to fill in a Google form linked below, which helps me make better videos by catering for your math levels:
https://forms.gle/QJ29hocF9uQAyZyH6
If you want to know more interesting Mathematics, stay tuned for the next video!
SUBSCRIBE and see you in the next video!
If you are wondering how I made all these videos, even though it is stylistically similar to 3Blue1Brown, I don't use his animation engine Manim, but I use PowerPoint, GeoGebra, and (sometimes) Mathematica to produce the videos.
Social media:
Facebook: facebook.com/mathemaniacyt
Instagram: instagram.com/_mathemaniac_
Twitter: twitter.com/mathemaniacyt
Patreon: patreon.com/mathemaniac (support if you want to and can afford to!)
Merch: mathemaniac.myspreadshop.co.uk
Ko-fi: ko-fi.com/mathemaniac [for one-time support]
For my contact email, check my About page on a PC.
See you next time!