Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by beojan on Thursday May 10, 2018 @04:48PM
(#17042823)
Line / surface / volume integrals are certainly a jump from one-variable integrals.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by fooker on Thursday May 10, 2018 @04:57PM
(#17042906)
Not a big jump, if you conceptually stick to the 'area under curve' definition.
Analytically computing surface/volume integrals, yes, that is a big jump. But I don't understand why students need to memorize N algorithms and M substitution rules for that.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by woopwoop on Thursday May 10, 2018 @05:53PM
(#17043280)
What is the straightforward "area under the curve" definition of a line integral?
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by fooker on Thursday May 10, 2018 @05:55PM
(#17043292)
Wikipedia has a nice animation for this.
https://en.wikipedia.org/wiki/Line_integral#/media/File:Line...
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by woopwoop on Thursday May 10, 2018 @06:11PM
(#17043385)
Okay. I am used to this being called a path integral, and the phrase line integral being reserved for the integral of a vector field over a curve. This does not, as far as I know, admit a straightforward definition as an area under a curve.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by fooker on Thursday May 10, 2018 @06:17PM
(#17043426)
If you replace area under curve with volume under surface, it seems to me that the same intuition holds.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici...
by gowld on Thursday May 10, 2018 @08:13PM
(#17043979)
Sure, and AI isn't a big jump from statistics.
It's like learning a new computer language, it takes about as long to do that on it's own as to have a class in something else that happens to use your that new language.