Parth G | How to Defeat a Mathematician #shorts @ParthGChannel | Uploaded 2 years ago | Updated 14 hours ago
This works 100% of the time. #shorts
Here's a silly video about approximations. It's not meant to be taken seriously, but some of the content in it is definitely worth checking out if you don't know about it already!
For example, the small angle approximation is briefly mentioned, which is where for very small angles, the value of sine and tangent are approximately equal to the angle itself. Similarly, for cosine, we use a truncated version of its Taylor series in the small angle approximation.
This approximation is immensely helpful in approximating solutions to difficult systems in physics. For example, a differential equation showing how pendulums behave, even in a very basic system, contains a sine term that makes the equation difficult to solve. However with the small angle approximation, the equation becomes very similar to the simple harmonic motion equation, which we do know how to solve.
So although approximations don't give us exact answers, they are extremely useful in solving problems we wouldn't otherwise know how to tackle.
... and then there's good old = 3. We don't talk about that.
The music in the background is (again) something I threw together just for this video. I will post a playthrough of it over on my second channel in the next few days - link to my channel is below!
Thanks so much for watching - please do check out my socials here:
Instagram - @parthvlogs
Patreon - patreon.com/parthg
Music Chanel - Parth G's Shenanigans
Merch - https://parth-gs-merch-stand.creator-spring.com/
Many of you have asked about the stuff I use to make my videos, so I'm posting some affiliate links here! I make a small commission if you make a purchase through these links.
A Quantum Physics Book I Enjoy: https://amzn.to/3sxLlgL
My Camera (Sony A6400): https://amzn.to/2SjZzWq
ND Filter: https://amzn.to/3qoGwHk
Microphone and Stand (Fifine): https://amzn.to/2OwyWvt
Gorillapod Tripod: https://amzn.to/3wQ0L2Q
This works 100% of the time. #shorts
Here's a silly video about approximations. It's not meant to be taken seriously, but some of the content in it is definitely worth checking out if you don't know about it already!
For example, the small angle approximation is briefly mentioned, which is where for very small angles, the value of sine and tangent are approximately equal to the angle itself. Similarly, for cosine, we use a truncated version of its Taylor series in the small angle approximation.
This approximation is immensely helpful in approximating solutions to difficult systems in physics. For example, a differential equation showing how pendulums behave, even in a very basic system, contains a sine term that makes the equation difficult to solve. However with the small angle approximation, the equation becomes very similar to the simple harmonic motion equation, which we do know how to solve.
So although approximations don't give us exact answers, they are extremely useful in solving problems we wouldn't otherwise know how to tackle.
... and then there's good old = 3. We don't talk about that.
The music in the background is (again) something I threw together just for this video. I will post a playthrough of it over on my second channel in the next few days - link to my channel is below!
Thanks so much for watching - please do check out my socials here:
Instagram - @parthvlogs
Patreon - patreon.com/parthg
Music Chanel - Parth G's Shenanigans
Merch - https://parth-gs-merch-stand.creator-spring.com/
Many of you have asked about the stuff I use to make my videos, so I'm posting some affiliate links here! I make a small commission if you make a purchase through these links.
A Quantum Physics Book I Enjoy: https://amzn.to/3sxLlgL
My Camera (Sony A6400): https://amzn.to/2SjZzWq
ND Filter: https://amzn.to/3qoGwHk
Microphone and Stand (Fifine): https://amzn.to/2OwyWvt
Gorillapod Tripod: https://amzn.to/3wQ0L2Q
