Metric Spaces

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In this video we define a metric space.

- Please note that a portion of this video has been removed due to an error.
0:00 - Distance function
4:01 - Metric Space (definition)

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This video was made using:
Animation - Apple Keynote
Editing - DaVinci Resolve

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Thank you for a clear explanation and visually appealing graphics. The font, color choice, and animations are all nice to look at. You're helping an ME senior secure his Math minor with these videos <3. The class is Numerical Methods, found your content by looking up a video on Matrix Norms.

isxp

Why watching math videos in “British” accent is so satisfying!! 😊

adeelakhtar

Hrm. at 9:07 Will seems to claim a < b ==> |a| < |b|. It is true in this case, but he doesn't explain why.

JordanWeitz

At around 2:10, that arrow could be bidirectional, right, since the two statements must be equivalent? I.e.
d(x, y)=0 <==> x=y

If it weren't bidirectional, I could define, for example, d(x, y)=1 for all x, y and that would fulfill all the requirements.

mcgrewgs

Thank you so much
You're amazing 👏💗

nila-

Thank you for the explanation Dr.will . But this units of so much though

choukriadan

8:53 This step is invalid. You can't just take absolute values of both sides of an inequality, e.g.:
-2 < 1 does not imply |-2| < |1|, i.e., 2 < 1.

zetacrucis