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visits member for 4 months
seen May 17 at 11:12
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May
17
awarded  Supporter
Feb
17
awarded  Commentator
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
Thank you very much Dominic Michaelis! Yes, of course! I stepped away.
Feb
17
accepted Question on “Proving $f(x) = 0$ everywhere”
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
Thank you very much again. You proved $A = B$ by contradiction, which I understand. But what's the intuition for $A = B$? How did you suspect this to be true? Surely, you must've suspected it proving it?
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
@Dominic.Michaelis: Great! Thanks. My last follow-up is: $\large{\text{Question 5:}}$ How do we know $f(a - d) = f(a + d$? The function $f(x)$ doesn't have to be symmetric about $x = a$?
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
@Dominic.Michaelis: Thank you very much. $\Large{\text{Question 3}}$: Do you mean $A$ is bounded in this question, but $A$ doesn't have to be bounded in general? I'm just a bit confused since you wrote "$A$" is bounded but not necessarily bounded"? $\Large{\text{Question 5}}$: How do we know $A = B$?
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
Thank you. Some follow-ups: $\Large{\text{Question 1}}$ : What does “Mh mean”? $\Large{\text{Question 3}}$: Are you using this result: “f is continuous iff if the inverse image of every closed set is a closed set”? Is there something easier? $\Large{\text{Question 4}}$: Isn’t A closed and bounded? $A := {x \in [0,1] : … }$ $\Large{\text{Question 5}}$: Sorry, still don’t see this. How does $$ A \leq C \text{ and } B \leq C \text{ and } C = \frac{1}{2}(A + B) $$ imply $ A = B = C$?
Feb
17
comment Question on “Proving $f(x) = 0$ everywhere”
Sorry, what did you mean by "did a left another question open?" Thank you for your help so far.
Feb
17
asked Question on “Proving $f(x) = 0$ everywhere”
Jan
22
accepted Difference between Kernel for Linear Maps and Group Homomorphisms
Jan
2
revised Difference between Kernel for Linear Maps and Group Homomorphisms
I added an example to show my confusion. I also cut down on repetitive things.
Jan
2
revised Difference between Kernel for Linear Maps and Group Homomorphisms
I added an example to show my confusion.
Jan
1
asked Difference between Kernel for Linear Maps and Group Homomorphisms
Dec
30
awarded  Editor
Dec
30
revised S4/V4 isomorphic to S3 - Understanding Attached Tables
edited body; edited title
Dec
29
asked S4/V4 isomorphic to S3 - Understanding Attached Tables
Dec
29
comment Quotient Group G/G = {identity}?
Thank you. I'll spend some time looking over this.
Dec
29
awarded  Scholar
Dec
29
accepted Quotient Group G/G = {identity}?