A while back I realised you could do a similar thing by just working out the nth derivative analytically and chucking a real number in.
A while back I realised you could do a similar thing by just working out the nth derivative analytically and chucking a real number in. For example, the nth derivative of x^m is (x^(m - n) m!)/(m - n)! You can gradually vary n from 0 to 1 to see the smooth change. It doesn't always behave how you'd expect it to. Same for e^ix: i^n e^(i x) Which means you can partially differentiate sin, cos etc. (In fact, the power derivative lets you derive any function via its taylor series). What do you think the gradient of sin looks like if you take it gradually and animate it? You might expect it to slowly move to the left and become cos. It does, but it also does a barrel roll around the real axis at the same time. Kinda neat – I wish there was an easy way to put a demo up. I tried to figure out some physical applications for this but I've fallen short so far – would be interested to know if there are any.
Posted by one-more-minute on May 28, 2015, 10:24 AM
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Raise real-world problems, find people facing the same issue, and discuss solutions.6,500 issues0 comments
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I wish there was a way to sort by recency, if i'm mainly interested in finding obscure gems from like last 6 to 12 months of ai and tech ...
NewAndroid work profiles allow you to run multiple isolated copies in parallel - with separate address book and all.
NewThe other day I saw the last episodes of The Office again.
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NewGLES isn't a bad way to teach graphics but I wish there was a middle ground between it and VK.
> [Edit: note that the above video is "content" so if you're not used to the style it might be offputting but I'm into it] I hate that i...
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A while back I realised you could do a similar thing by just working out the nth derivative analytically and chucking a real number in.
A while back I realised you could do a similar thing by just working out the nth derivative analytically and chucking a real number in. For example, the nth derivative of x^m is (x^(m - n) m!)/(m - n)! You can gradually vary n from 0 to 1 to see the smooth change. It doesn't always behave how you'd expect it to. Same for e^ix: i^n e^(i x) Which means you can partially differentiate sin, cos etc. (In fact, the power derivative lets you derive any function via its taylor series). What do you think the gradient of sin looks like if you take it gradually and animate it? You might expect it to slowly move to the left and become cos. It does, but it also does a barrel roll around the real axis at the same time. Kinda neat – I wish there was an easy way to put a demo up. I tried to figure out some physical applications for this but I've fallen short so far – would be interested to know if there are any.
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