4 ms·
What is e to the Power of d/dx? – Shift Operator
- mjfl 2y agoe^(\Delta x d/dx) f(x) = f(x + \Delta x)
- JadeNB 2y agoThanks! To be totally precise, this is for analytic functions; they can differ for smooth functions. (That restriction may be imposed in the video.)
- deleted 2y ago[deleted]
- ykonstant 2y agoEnglish subs are available via the captions :)
- Affric 2y agoYeah it’s interesting. There’s nothing to the video that takes advantage of the video format except the characters. It’s a series of slides with a voice track over it. Generally, YouTube math videos (as a genre) have some form of animation or figures but I don’t think this is any more effective than the transcript and equations as a paper unless one finds the characters helpful. With that said the actual content was well written.
- leni536 2y ago> I don’t think this is any more effective than the transcript and equations as a paper unless one finds the characters helpful. Possibly, but it's unusual for educational Math books to have dialogues. I think this video uses the dialogue very well here. I have an exceptional high school Physics book that is all dialogues, and I loved that too.
- falcor84 2y agoI love the dialogue format too, and have recently been experimenting somewhat successfully with creating my own dialogues with textbooks. I've previously found it to be so-so with OpenAI plugins/wrappers, but now with Claude's Projects feature, I feel that it's pretty much there. I create a project and upload a book (or a part of a book, given the context limit), as well as any additional notes/code I already created based on it, and this then allows me to have a really productive dialogue with an AI version of the author.
- Affric 2y agoDialogue is good. I am unconvinced think it’s more effective in a video form.
- vouaobrasil 2y agoExcept that some people respond better to people talking rather than reading when it comes to math.
- Affric 2y agoPeople who are talked at think they’ve learnt more. Regardless, for me it was all reading.
- tux3 2y agoThe video on half-derivatives (fractional calculus) was captivating, fun to see it all come together so simply, when it looked like a very obscure concept at the start!
- ykonstant 2y agoYep; I am not only sharing this here because of the gimmick. The author is a master of pacing mathematical explanations, knows what to say and what to omit.
- npinsker 2y agoThis is a wonderful channel — thanks for the share — but also so impressed at how good the Japanese TTS is, easily the best I’ve ever heard!
- hilbert42 2y agoThis video reminds me of when I first went to Japan decades ago. I switched on the TV in my hotel room early in the morning about 6ish or so to be greeted with a very enthusiastic and entertaining teacher with Einstein-like hair teaching calculus in front of a blackboard. I then thought about what kids would be watching back home at that hour of the morning and I was ashamed to think of the opportunity that we in the West had lost. Incidentally, whilst there I never missed watching the program. I couldn't understand what he was saying but I sure understood what he was writing on the blackboard.