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YuiTo Cheng
YuiTo Cheng
8:44 AM
 
 
1 hour later…
user21820
user21820
10:08 AM
D1, D2, D3.
D4, D5, D6.
D7, D8, D9.
@user1729 It's missing context in the form of where the asker saw that claim. Note that it's not just about the exponential function, contrary to Theo's comment. The claim could have been made without even defining exp, but rather about the exponentiation of the real number e to the power of x, as x tends to a. If exponentiation x^y for x>1 and y is defined as sup { x^r : r∈Q ∧ r<y }, then one can prove that limits commute with ( R y ↦ x^y ).
However, I'll grant that this question is likely out of a desire to learn, and hence would personally not vote to close, though I wouldn't vote to reopen either since all that is necessary is to point the asker to a proper textbook.
 
SK19
SK19
10:54 AM
-1
Q: Why do graphs work?

user36956Suppose the equation x+y=5.I have solutions (3,2);(2,3). So, i could now plot it on graph. Now i have a straight line. When i choose any point on x-axis, say (1,0). When i draw a perpendicular intersecting x-axis at this point(1,0) and line of equation, say at A. When perpendicular is drawn from...

random-graphs planar-graphs
Wrongly tagged but I don't know the correct tags
 
 
1 hour later…
Xander Henderson
Xander Henderson
12:06 PM
@SK19 I've tagged it graphing-functions and analytic-geometry, as those seem relevant.
That being said, the tagging chatroom might be a more appropriate place for your request for retagging.
 
Martin Sleziak
Martin Sleziak
@SK19 I have mentioned this also in the tagging chatroom - in case some of theusers visiting that room might have some idea.
 
Matthew Leingang
Matthew Leingang
12:54 PM
0
Q: Norm of a function.

Ritesh KhanDefine $f: \mathcal(l)^2 \longrightarrow \mathbb R$ by $f\big((x_n)\big)=\frac{x_n}{n}$. My question is what is $\|f\|_2$? My attempt- $$ \|f((x_n))\|=\big\|\frac{x_n}{n}\big\| \leq \frac{||x_n||_2}{n}. $$ I can't get rid of from $\{n\}$. Please help me. Thanks in advance.

functional-analysis
Problem is badly posed. Top-voted answer is to the most reasonable perturbation of the problem. OP has accepted the answer but makes disparaging comments about it not applying to his bad problem.
 
 
4 hours later…
Strants
Strants
4:56 PM
@XanderHenderson @XanderHenderson I just case a re-open vote. I agree the notion of marriage is perhaps not MATHEMATICALLY defined, but I don't think there is any REAL ambiguity.
Of course, that's not a quantifiable position. But I think the question sits just on the right side of 'could be made rigorous in the obvious way.'
 

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