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    A function f, whose domain and ranges are vector...

    A function f, whose domain and ranges are vector spaces, is linear if and only if f(c1*x1 + c2*x2) = c1*f(x1) + c2*f(x2) for any scalars c1,c2 and vectors x1,x2. Equivalently, f is linear if and only...
  • Poll: https://images-na.ssl-images-amazon.com/images/I/5...

    https://images-na.ssl-images-amazon.com/images/I/5113lJZJQuL._SX326_BO1,204,203,200_.jpg
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    In on brag thread

    In on brag thread
  • Would rather watch porn than bang sub 8.5/10...

    Would rather watch porn than bang sub 8.5/10 (srs)

    Why waste all your time hooking up with 5/10 girls? It is literally a waste of time. You could be pursuing your goals, learning new things, etc.
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    https://www.nasa.gov/sites/default/files/thumbnail...

    https://www.nasa.gov/sites/default/files/thumbnails/image/hst-sm4.jpg
    ...
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    Logged into this site just because this thread...

    Logged into this site just because this thread made me happy that not everyone is a fake natty. OP seems like a good guy (srs, no rep beg)
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    I probably only have 6-7/10 facial aesthetics and...

    I probably only have 6-7/10 facial aesthetics and I've had sex with ~20 girls in the last 2-3 years. I recommend you download Tinder
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    ITT OP is a phaggot

    ITT OP is a *******
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    My favorite math joke: What do a topologist...

    My favorite math joke:

    What do a topologist and a horny miscer have in common? All they care about are the existence of holes.
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    Every constant may be viewed as a function on any...

    Every constant may be viewed as a function on any domain (in particular as a function of x), so I think this joke needs rewording
  • Public service announcement for retards ITT: ...

    Public service announcement for retards ITT:

    Alumni = group of two or more former students of a university (plural)
    Alumnus = a single male former student of a university (singular)
    Alumna ...
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    Is "you" in quotes because you don't think he's a...

    Is "you" in quotes because you don't think he's a real person?
  • Already raging just after reading title

    Already raging just after reading title
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    In general: given a function z = f(x,y) and a...

    In general: given a function z = f(x,y) and a point (a,b) such that c = f(a,b) and f is differentiable at (a,b), here is how to find the equation of the tangent plane (perhaps more aptly called...
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    Thanks brah. Yeah, I did engineering/math in...

    Thanks brah. Yeah, I did engineering/math in undergrad and I'm in grad school for engineering/math now
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    Haha I was wondering if that was a typo. It's...

    Haha I was wondering if that was a typo. It's zero, so it multiplies sin x and makes that term disappear
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    f'(x) is equal to 0, not 1, since the derivative...

    f'(x) is equal to 0, not 1, since the derivative of any constant function is zero.
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    Haha sorry, I haven't been checking the misc as...

    Haha sorry, I haven't been checking the misc as much lately. But yeah, he also said "spaces that are complete are 'big enough'". Like the rationals aren't "big enough" because they are missing...
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    A complete metric space is one in which every...

    A complete metric space is one in which every Cauchy sequence converges. My measure theory teacher always said that the "right" spaces are complete. I don't share his level of insight, but it...
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    I can confirm. If anyone wants to talk about...

    I can confirm. If anyone wants to talk about differential forms, I'm always down lol. I love them. Right now I'm working on a research project which lets me basically read about differential forms...
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