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Apr
1
answered Hausdorff distance for empty sets?
Apr
1
comment Why is a zero vector space a vector space
to be closed you need to know that whatever in the set you add together you'll stay in the set. If the set contains just the zero vector then you only need to ask yourself "does $0+0$ belong to my set".
Apr
1
comment Why is a zero vector space a vector space
your argument does not show that $\{0\}$ is a vector space.
Apr
1
comment Why is a zero vector space a vector space
the only one up to isomorphism, and when the ground field is fixed.
Apr
1
answered Why are the algebras of the associative operad unital?
Apr
1
answered Prove $\{e\}$ is a model of group theory
Apr
1
comment Prove a real-valued function is monotonic if it is continuous on an open interval and has no local extremes
what does it mean for a function not to be monotone?
Apr
1
answered Prove a real-valued function is monotonic if it is continuous on an open interval and has no local extremes
Mar
30
answered Are these sets countable or uncountable?
Mar
26
answered Example- $l_p$ norm space
Mar
25
answered Limit in metric space
Mar
21
comment Are continuous functions monotonic for very small ranges?
I see @Bach, thank you!
Mar
20
comment Are continuous functions monotonic for very small ranges?
@BenVoigt yes, indeed. It is not a function $\mathbb R \to \mathbb R$ (or from a subset of the reals).
Mar
20
comment Are continuous functions monotonic for very small ranges?
Brownian motion is a curve, not (necessarily and in fact almost surely not) the graph of a function.
Mar
20
comment Are continuous functions monotonic for very small ranges?
The question as stated is meaningless. There is no such thing as take the domain $[c,c+h]$ as $h\to 0$. Which set would be the domain? If it's just $\{c\}$, then of course any function on it is monotone. But that is probably not what was meant by OP.
Mar
20
answered homomorphism and kernels
Mar
20
comment homomorphism and kernels
I improved your question using Latex. Click on edit to see how I did it so you can learn for your next questions.
Mar
20
revised homomorphism and kernels
latex codes
Mar
19
awarded  Nice Answer
Mar
19
comment Does the partial order on $\mathbb{C}$ induced by $[0,\infty)$ have any non-trivial uses or application?
this seems like a solid conjecture.