Why, a hexvex of course!

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Joined 1 year ago
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Cake day: June 10th, 2023

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  • HexesofVexes@lemmy.worldtoScience Memes@mander.xyzLectures
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    2 months ago

    Heh, I did this once - mostly because 10+ PowerPoint animations really chug the university issue laptops, and I was presenting somewhere new (software is not your friend).

    It was really 15 slides with about 20 animation steps on each - the students didn’t seem to hate seeing a set of fully worked maths problems with colour coding linking parts of the question to the resultant equation.







  • HexesofVexes@lemmy.worldtoScience Memes@mander.xyzI just cited myself.
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    3 months ago

    Reals are just point cores of dressed Cauchy sequences of naturals (think of it as a continually constructed set of narrowing intervals “homing in” on the real being constructed). The intervals shrink at the same rate generally.

    1!=0.999 iff we can find an n, such that the intervals no longer overlap at that n. This would imply a layer of absolute infinite thinness has to exist, and so we have reached a contradiction as it would have to have a width smaller than every positive real (there is no smallest real >0).

    Therefore 0.999…=1.

    However, we can argue that 1 is not identity to 0.999… quite easily as they are not the same thing.

    This does argue that this only works in an extensional setting (which is the norm for most mathematics).