It's interesting that in the natural cubic spline solution, the plant initially shrunk below zero, and also shrunk slightly before the final measurement. This leads to the question of what would be reasonable clamping values for the endpoints. The rather extreme clamped curve presented what I've nicknamed "ringing" in the curve. How feasible is it to set boundaries without "clamping" the curves? IE: the plant size can never go below zero, and can never shrink. I guess that might take multiple trials or iterations, so I'm thinking some form of machine learning would be able to fit a curve to those constraints. But then how would ringing in the curve be represented in the "cost" function for the solver?

Having worked in various 3d NURBS design software packages (as an end user, not as a programmer) it's driving me nuts to see that first section with zero curvature. I think about how the "curvature combs" would look in a program like Alias Studio. I originally wrote, asking you how this scales to cubic interpolation, and if cubic would be sufficient to achieve curvature continuity, but then after posting my question KZbin suggested your video on exactly that topic. For a non-mathematician who loves to mess around with this stuff, your videos are fantastic! Many thanks for your work here.

Really amazing video. Thanks a lot :)

2 hours class in 5 minutes, thank you

Most undertreated channel. Having math videos straight to the bit in super small bites is amaaaaaazing. I hope you add more math videos in the future. A linear Algebra one would be outstanding!

Welldone

Welldone

Only in ggogle sheet not in Microsoft excel

Not exist in 365 office . Where can i find it ?

Thank you!

thank you so much bro. if I could leave 1,000 likes I would

Bro this is crystal clear. Thank you so much for help

Sir, I do have a problem after following steps as video show. After studysession activate and click run button, it shows the error " NameError: name 'Tk' is not defined".

hey, do i need to repeat this process whenever i want to start a new project or i want to use pandas

Thanks, very clear explanation

thank you!

The answer's wrong, also mistakes in the code. That's sad you are misleading people. You must double/triple check before publishing. A lot of useless variables, => memory loss. For example variable j = I - 1 Is not used at all.

Thank u so much sir

can i use solving ODE?

Great video but I think the derivation is fundamentally wrong. The derivation you used doesn't apply to any 2 points, but rather only 2 points -a and a. Your derivation of the formula hinges on the fact that the two points are negative m and m, you should generalize it for any 2 points by taking it as a, b and (a+b)/2 .

at column 2 row 2 i think he forgot to write divide by 12

greatest numerical methods course on youtube, great job

🎉🎉

It was so useful. Thanks for making this video :)

Thanks a million.hats off for your wonderful work❤ keep posting useful content for us

Thank you for the wonderful video.

You're awesome 🤩

thank you❤

this will install pytorch without gpu!

Thanks a ton! You saved my internship interview fr. I don't know why my project was acting up last min but your vid saved the day 🌟

so helpful tanks

Shhhh bro, vid is 3 yo and you still saved my a$$

Man you talk way too fast to be understand

Great explanation, unfortunately you can't take the output of a formula and pass it into abs

Wow this was insanely helpful! Thanks!!

TO EVERYONE dealing with the issues at 6:41 make sure to have the docker application opened in the back. Also on the upper part of docker there was a banner in my case saying there were some changes that were made and I clicked on it to acknowledge it and then went back to X to continue with the video and had no issue. Not sure if this is helpful but it worked in my case, be very careful with missing letters as that was an issue for me.

great solution

Great explanation in easy language

It would be nice to show how to remove or rename a named range so that the topic becomes more rich.

Inches to CM?

Please dont stop making videos sir i really loved your content . . Can you please make video playlist on probability sir

Great! So clearly explained. Subscribed.

thank you!! super helpful

What if I want something more smooth that does not necessarily go through all the datapoints? How would you do this and is it then still called interpolation?

After x = 0,998, do you mean to write "x= 1,164" below it?

ty so much for real