hey /sci/ can you name a set of vectors that are orthogonal but not perpendicular?
>>7748237
Anything with the zero vector.
>>7748251
thank you
Can you name a function that is continuous everywhere, but differentiable nowhere?
>>7748443
https://en.wikipedia.org/wiki/Weierstrass_function
This thread has potential, I'm bumping. I want more obscure examples of things that lead to math textbook jargon being weird.
>>7748479
This guy knows how to party.
Can you name two disjoint closed sets that have points that get arbitrarily close to each other?
This one really threw me for a loop.
>>7750049
I do have an answer if people give up.
>>7750049
The graph of the exp-function and the x-axis.
>>7750056
I'm pretty sure that works depending on how you define the distance function for graphs in RxR.
The example I was thinking of were the sets {n+(1/n)} and {n}.
>>7750062
all norms in R^n are equivalent. it doesn't depend on how you define one