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2:22 AM
@DavidZ Thanks!
Upvoted. Will accept if no "real" solution arises, which looks unlikely based on the information you've found.
Looks like maybe once can monkey patch and add a registry for different printing based on object type, but that's way out of bounds of what I want to do.
 
user228700
Hello, everyone :-)
 
user228700
If anybody is interested to help me to find the domain and range of compositions of two piece-wise defined functions, do ping me...
 
::hides::
 
user228700
@DanielSank :-(
 
Well you haven't given the function yet.
Rule #1 of the internet: Don't ask if you can ask. Just ask.
 
user228700
2:36 AM
Oh, shall I?
 
See rule #1.
 
user228700
The rule is flawed. It takes a whole lot of time for me to type my question in LaTeX. I've mentioned what the question is about and then, it's my hope that somebody will ping me if they're interested and then I can type it out, knowing that it won't be for nothing, dyou know what I mean? (And I mean it takes forever)
 
@Kaumudi.H Yeah I know what you mean, but frankly, if people see the question they are more likely to answer.
 
user228700
That is true. Alrighty, here are the functions:
 
Besides, suppose you type it and nobody reads it. Then later someone offers to help. It's not hard to copy/paste.
 
user228700
2:39 AM
$f(x)=$
 
user228700
$(5-x) ; 3 \le x \le 4$
 
user228700
OR $(1-x) ; 0 \le x \le 1$
 
user228700
OR $(x-1) ; 1<x<3$
 
user228700
$g(x) =$
 
user228700
$(x+2) ; -1 \le x \le 2$
 
user228700
2:42 AM
OR $(6-x) ; 2<x \le 3$
 
Plot it, for the sake of mankind.
 
user228700
Lol, is there no other way? This is what my textbook did:
 
Sure, there is another way, but why would you not plot it?
You want to make your life hard for no reason?
 
user228700
Dyou mean plotting by hand? 'Cause in my exam, I'm not even allowed a pen--THEY give us the pen (and a sheet of paper).
 
So what if they give you the pen?
Use it.
Anyway, you want fog or gof?
 
user228700
2:47 AM
No, that's okay. I was asking if u wanted me to plot it by hand. In this case, it would be easy but if the function were cubic, it wouldn't be so easy, in which case I wouldn't know what to do, I suppose, if I depend on plotting every time.
 
@Kaumudi.H well you don't have to plot it exactly. It's just useful to at least sketch it.
 
user228700
Um, okay...
 
user228700
$f \circ g$. That's what I gots to find.
 
k
What's the domain of $g$?
 
user228700
$[-1,3]$
 
2:50 AM
Yep.
What's the domain of $f$?
 
user228700
$[0,4]$
 
Yep.
So what's the domain of $f \circ g$?
 
user228700
:-| Um...
 
user228700
For now, all I know is that it will be a subset of $[0,2]$
 
Subset of $[0,3]$. Correct.
 
user228700
2:51 AM
3? Hang on, lemme check...
 
Actually, I'm being stupid.
Forget what I said.
 
user228700
OK..?
 
What is the range of $g$?
 
user228700
$[1,4]$
 
Yep.
 
2:54 AM
@DanielSank I'm fairly confident that if you don't consider the answer I posted to be "real", then there is no "real" solution.
 
So $g$ works on $[-1,3]$ and lands on $[1, 4]$, and $f$ works on $[0,4]$.
@DavidZ Bad wording... I think I meant "easy".
 
user228700
Yeah...
 
@DavidZ, also, your solution makes everything print differently, which isn't what I want. It's an excellent lead though. Thank you (and +1).
By "real" I meant "easy" and "expected by IPython".
 
@DanielSank ohhhh... whoops. I went through all that work precisely because I thought you wanted everything to print differently.
 
@Kaumudi.H So what's the domain of $f \circ g$?
@DavidZ Now that I re-read my post, I see that I did not say that at all :(
 
2:56 AM
Yeah, I know you didn't. I misread the post. Or didn't read carefully enough, or something.
 
user228700
Arfhg, I only know that its domain will be subset of $[1,4]$.
 
@DavidZ But you know... I think actually I do want everything.
@Kaumudi.H You know more than that!
$f$ works on everything $g$ can produce, right?
 
user228700
Well, not everything, which is why I keep saying "subset".
 
Ack, ok, sorry I'm being stupid again.
 
If you want only one type to be printed differently, I believe the answer you want is this one (although the question is arguably not quite a duplicate).
 
2:58 AM
!!!!!!!!
Excellent!
 
user228700
..? To whom are u responding?
 
The exclamation was directed at DZ.
 
user228700
Okay...
 
@Kaumudi.H what domain values of $g$ make $g$ produce stuff that $f$ cannot take?
(This is why you should plot the functions)
 
user228700
@DanielSank I dunno, I'd have to check, hang on...
 
user228700
3:00 AM
Wait, can you please tell me where u're going with this..?
 
@Kaumudi.H Find values in $g$'s domain that produce stuff $f$ can't take as inputs. Then you know what parts of $g$'s domain you have to cut out.
 
user228700
@DanielSank Okay. But I'm supposed to eventually find an expression for $f[g(x)]$ as well, which is what I'm mostly confused about...
 
That's the same thing.
 
user228700
But I have so many intervals. Look at what my textbook did:
 
If you find all the inputs of $g$ that produce outputs that $f$ can take, then you know the domain of $f\circ g$.
 
user228700
3:03 AM
 
Yeah, fine you can do that if you hate your life.
 
user228700
No no, I don't! Hang on, let me try to find elements in the range of $g$ that don't fit in the domain of $f$...
 
user228700
Everything fits. The range is a subset of the domain.
 
For the love of chutney, plot the functions.
 
user228700
Sigh. Okay, on it...
 
3:09 AM
@Kaumudi.H I believe that's right, so the domain of $f \circ g$ is the same as the domain of $g$.
 
@DanielSank I updated my answer. That should be better.
 
user228700
@DanielSank I did a messy job but it's done. Hang on...
 
Well, you already answered the first part...
@DavidZ Oh look, I did say "for a particular class".
Lol, yay I'm not a total failure at writing questions :p
 
user228700
I've no idea why you asked me to plot the functions :-\
 
@Kaumudi.H It will be helpful now.
Now do the range.
Or maybe it's not helpful for you. I don't know how your brain works.
 
user228700
3:15 AM
What new information do I have? I still only know that the range will be a subset of $[0,2]$.
 
user228700
And I still dunno how to find an expression for $f[g(x)]$ :-| Brb, breakfast.
 
@Kaumudi.H Who cares? You told me to find the domain and range, not an expression.
 
@DanielSank Yeah, somehow I totally missed that. I found the answer about customizing int display within like 10 minutes, and then because I thought you had asked how to use __str__ for all objects, I spent an extra two hours trying to figure out how to do that without limiting it to a specific type.
 
@DavidZ Oh, man. Sorry. I hope you learned something useful.
I didn't find that answer that you found despite ~10 minutes of invoking Google and SO search.
I checked IPython docs too.
That was totally hopeless.
 
@DanielSank Indeed I did. At least I assume it will be useful. These sorts of things usually are.
The IPython docs are not great, it's a huge code base and there are few "signposts" to point you to the right place. I generally have better luck tracing the source code, as was the case here.
 
3:33 AM
From the "comments not posted" file:
> Have you ever asked yourself why physicists would bother with all that math if they could just skip ahead to the fun parts without it?
 
Eh?
Comments not posted?
Oh oh oh, if they could.
heheh
 
@DanielSank Call it a coping mechanism when something happening on the site is bothering me but to really respond would require venturing into 'not nice' territory.
 
@dmckee It is possible to simply say the same thing but nicely.
In fact, the quote you put a couple messages up seems rather ok to me.
You can make it nicer by making it a statement instead of a rhetorical question:
 
@DanielSank Sometimes. But it might not have the same soothing effect on my psyche.
 
> Physicists would not bother with all the math if it were possible to skip it.
@dmckee Right right. We must balance the health of our psyches against those of the people around us.
For example, right now DZ is sacrificing his psyche to save mine.
I was discouraged by IPython's documentation, but he forges ahead!
 
3:41 AM
Hehe, nah, I'm having fun
I need to broaden my Python repertoire anyway.
If the answer seems okay now, we can delete our comments
 
4:16 AM
@DavidZ done
 
Me too
 
user228700
4:42 AM
@DanielSank Firstly, I am ever so sorry that I took so much effing time; unfortunately, my internet died :-/ Secondly, I've been asked to find the expression, not the domain and range. One would lead to another, so...
 
what's the problem
 
user228700
Oh, hello! The problem is to find the expression for $f[g(x)]$ for the following piece-wise defined functions:
 
user228700
$f(x)=$
 
user228700
It takes me too much time to write in LaTeX. I wrote it down once before. Will u please check this:
 
user228700
2 hours ago, by Kaumudi. H
$f(x)=$
 
4:46 AM
k
ok, this is rather complicated. so we're looking at $f(g(x))$. domain of $g$ is, what, $[-1, 3]$. agreed?
 
user228700
Yes.
 
user228700
Quick sub-question: How long did it take you to compute the domain of $g$?
 
few seconds? just look at wherever it's defined. $-1 \leq x \leq 2$ and $2 \leq x \leq 3$. smash them up: it's $[-1, 3]$
 
user228700
Yep, okay.
 
let's look at $x \in [-1, 2]$. then $g(x) = x + 2$. as $x + 2 \in [-1+2, 2+2] = [1, 4]$, that means $g(x) \in [1, 4]$.
 
user228700
4:52 AM
Yep.
 
user228700
(BTW, I've already gone ahead and computed the domain and range of both functions...)
 
suppose furthermore that $g(x) \in [3, 4]$. then $f(g(x)) = f(x + 2) = 5 - (x + 2) = 3 - x$.
 
user228700
Uh huh...
 
so $f(g(x)) = 3 - x$ whenever $g(x) = x + 2 \in [3, 4]$, aka $x \in [1, 2]$. that's one piece we don't have to worry about
i hope i did the algebra right
we have two conditions, $x \in [-1, 2]$ and $g(x) \in [3, 4]$.
 
user228700
Hang on...
 
user228700
4:58 AM
@BalarkaSen Right, okay.
 
now on the other hand (still having $x \in [-1, 2]$), $g(x)$ can be in $[1, 3] = [1, 4] - [3, 4]$. i'm handwaving open/closed intervals off but everything's piecewise cont. so who cares
 
user228700
Gimme a second to figure it out...
 
user228700
@BalarkaSen Where did $[1,3]$ come from?
 
$g(x)$ had range $[1, 4]$. we dealt with the subinterval $[3, 4]$. what's left is $[1, 3]$
 
user228700
Ohhh :-| I see. Okay.
 
5:04 AM
so $g(x) \in [1, 3]$. so $f(g(x)) = g(x) - 1 = (x + 2) - 1 = x + 1$.
 
user228700
Yeah...
 
$x \in [-1, 2]$ and $g(x) \in [1, 3]$ means $x + 2 \in [1, 3]$ aka $x \in [-1, 1]$.
so $f(g(x)) = x + 1$ if $x \in [-1, 1]$.
 
user228700
Wow, okay...
 
alright, $x \in [-1, 2]$ is done for. let's move on to $x \in [2, 3]$.
 
user228700
Gimme a second...
 
5:08 AM
i hope your book has a solution we can check all of these with...
 
user228700
@BalarkaSen Yes, it does. Do go on...
 
Alright, so $x \in [2, 3]$.
then $g(x) = 6 - x$
 
user228700
Right, so $g(x) \in [3,4]$.
 
yeah
wanna work the rest out?
 
user228700
I'll try.
 
5:10 AM
$f(g(x)) = ?$ if $g(x) \in [3, 4]$?
 
user228700
For $g(x) \in [3,4]$, we have $f[g(x)] = 5 -g(x)$ which gives us $5-(6-x) = -1+x$.
 
right
so let's collect what we've got
 
user228700
Okay. For $x \in [1,2], f[g(x)] = 3-x$
 
user228700
For $x \in [-1,1], f[g(x)] = x+1$
 
user228700
and for $x \in [2,3], f[g(x)]=x-1$
 
5:15 AM
right. let's stop a bit: is this continuous at the endpts?
sounds like it. great
 
user228700
One second...
 
user228700
Okay. What dyou mean by continuous at the endpoints?
 
do you not know what continuity of a function at a point means? anyway, just that the pieces match at the endpoint of the intervals
does this soln agree with whatever your book has?
 
user228700
@BalarkaSen Oh, right, okay.
 
user228700
@BalarkaSen Wow, it does.
 
5:20 AM
whew
 
user228700
I was able to understand what we did but I don't think I'd be able to do another one on my own just yet. If you had to describe in words, what we did, what would those words be?
 
it's working out the pieces on which the function is linear. break the domain up in intervals where the function is linear. then glue it all back.
i hate these problems in general
 
user228700
> "Where the function is linear".
 
user228700
What dyou mean?
 
What do you think I mean?
 
user228700
5:24 AM
It sounds like you're speaking about the nature of the function, but that doesn't make sense because every piece of the function is linear, isn't it?
 
the function has pieces where it's linear, but the whole function isn't. break up the domain over the intervals where it is linear
that's what i did
 
user228700
But where is it not linear?
 
the points where the linear pieces meet. you should graph a piecewise-linear function in desmos
the whole point is that pieces are linear, but not the whole thing. there are "peak points". it's not linear near those
 
user228700
I'm not allowed to use any programs during my test. I plotted graphs for $f$ and $g$ on paper but they're rather messy and I wasn't able to deduce anything new from it.
 
user228700
Can u please explain what u mean when you say "linear"?
 
5:27 AM
i know; i just think you should plot it on desmos to understand what a P-L function looks like
@Kaumudi what does a linear functions mean...?
graph's a line. $f(x) = ax +b$
 
user228700
Exactly! But aren't all the pieces of this function linear is what I'm asking. What is this breaking up that u're talking about?
 
i have already told you multiple times to just plot some random P-L function on desmos
once you see one, you'll understand
 
user228700
:-P I'm sorry, but what is a P-L function?
 
Piecewise-Linear
 
user228700
Right. And I haven't heard of desmos either. I shall google it...
 
user228700
5:32 AM
Holy crap, I have no experience with graphing stuff. Oh well, everything begins somewhere.
 
user228700
Alright, so I'll graph it now but what u're saying is that u broke up the function...the inner function wherever it wasn't linear, right?
 
user228700
And then what dyou mean by "glue it all back"?
 
I am not really sure what you mean
You should just study the technique I used for that particular problem once again carefully. I don't think discussing the philosophy behind it will help.
 
user228700
@BalarkaSen I'm asking u what path of reasoning you took to solve this question, that's all. I was able to follow your steps but I'm not sure if I'll be able to cook up a "path" if I were given another problem like this.
 
user228700
Oh, also, how to specify inequalities in desmos?
 
5:36 AM
I cooked up the path of reasoning on the way in our discussion, so study the discussion carefully. Discussing it in words seem to be becoming rather tedious a discussion.
 
user228700
:-{ Okay. Thanks very much for ur help!
 
@Kaumudi.H Here. Delete the first two slots, use the next slot with different functions.
 
user228700
Okay. Thank you :-)
 
user228700
5:52 AM
I have another homework-tsy question :-|
 
user228700
I've been asked to find the domain and range of $f\circ g$ and $g\circ f$ for two functions, $f(x)=[x]$ (Greatest integer function) and $g(x)=\sin x$.
 
user228700
(Still typing)
 
user228700
Now clearly, both $f\circ g$ and $g\circ f$ are defined.
 
Would anybody know if asking a question on the diffusion and convection of capillaries in the human body be an acceptable question on physics.SE? it is a biotransport question, hence half biology, half physics...
 
user228700
@TanMath Hi. You might want to ping one of the moderators. (@DavidZ)
 
user228700
Let us first consider $g\circ f$, which is $\sin [x]$. The domain of this function will only be integers because the range of $[x]$ is the set of integers (and also, the domain of $\sin x$ is the set of real numbers so that simplifies things.
 
@Kaumudi.H wrong
the domain is all real numbers
 
@TanMath It's hard to say without seeing the question. I'd guess more likely no than yes, but it really depends on what exactly you ask.
 
user228700
@TanMath This is what is given in my textbook, but why?
 
really?
maybe I am wrong...
lemme think...
 
6:00 AM
I'd say just ask it. Getting a question closed as off topic doesn't really reflect badly on you.
 
@DavidZ ok...
 
user228700
No, what u're saying is correct, @Tan, according to my textbook, but I don't understand how. Will u be so kind as to explain why..?
 
sure...
so domain is the values that you can pass into the function...
 
user228700
Yes...
 
@Kaumudi.H If I may pipe in: it helps to think in terms of inputs and outputs. A function is a "black box" where you put something in and get something out. The domain tells you what you are allowed to put in, and the range tells you what you could possibly get out. And function composition is like chaining the output of one box (in this case $f$) into the input of the next ($g$).
 
6:02 AM
so you can pass any function into [x] without there being any problems....
 
user228700
Ohhhh.
 
user228700
Yes, of course!
 
user228700
I had confused the domain with the range of $[x]$.
 
yeah...
the range of [x] is only integers...
 
user228700
@DavidZ Right.
 
user228700
6:03 AM
@TanMath Yes, but any real number can go into it.
 
yep... exactly!
 
user228700
Alright, thank you :-)
 
did it ask you for the range because that would be pretty complicated and weird...
 
user228700
@TanMath It did ask me for the range as well but I think it's enough to write that it'll be the set of values $\sin a$ where $a$ in an integer.
 
user228700
@JohnR: Morning :-)
 
6:05 AM
@Kaumudi.H yeah, that should be fine...
 
user228700
Okay. Thanks very much!
 
6:17 AM
Morning. Still working at the maths I see.
 
user228700
Yep :-( Will switch to some physics in just a bit. Electromagnetic Waves, Semiconductors, Principles of Communication and the like...
 
6:30 AM
sometimes i wish i knew some probability
 
user228700
@BalarkaSen Is this ur way of saying "I have a quick question"? :-P
 
nah. i don't have a question.
 
user228700
OK.
 
user228700
@JohnR: Seriously, how amazing is my syllabus:
 
user228700
 
user228700
6:36 AM
(^ That's not everything there is, to be clear! I was merely telling u that I've got crap like this as well)
 
user228700
Does anybody here know anything about half-wave & full-wave rectifiers, amplifiers and...transistors?
 
sounds horrifying
 
user228700
Because even for my finals last year, I crammed these topics having absolutely no idea about any of them. That won't work this year.
 
user228700
@BalarkaSen Yeah, no kidding.
 
that syllabus reminds of electrical engineering stuff
 
user228700
6:40 AM
Yeah :-/ Does anybody know tho? Oh, dyou think @DanielS might know?
 
user228700
Then again, he's a busy person and wakes up when my day ends .__.
 
physics is horrifying in general
 
user228700
@JohnR: By any chance, dyou know?
 
@Kaumudi.H. I know everything about that subject
 
user228700
@TonyStewart Oh, wow! Also, hello (:-P) Do u have the time to help me with any of it..?
 
6:44 AM
sure
how?
 
user228700
Oh, um, I don't really know anything how rectifiers, amplifiers and transistors work.
 
user223506
HI
 
user228700
Well, my textbook has tried to explain it but it has failed spectacularly.
 
rectifiers are current switches
 
user228700
Oh, um, hang on. Are u usually around this place? I haven't seen u before...and in case you're prepared to explain stuff to an idiot like me, how much time dyou have on ur hands..? 'Cause I could like, read some stuff before u go on. It's been awhile since I revised these topics so...
 
6:48 AM
polarized with a forward switch drop Vf, @ rated If
transistors are voltage controlled resistors with threshold and gain
 
@Kaumudi.H I can probably still remember most of what I learned about semiconductor physics ...
 
usually in EE forum
now retired with 40yrs experience, but never tired
 
user228700
@JohnRennie Awesome!
 
user228700
@TonyStewart Oh, I see.
 
user228700
Alright, um, I will go ahead and start reading this wretched chapter all over again, this time knowing that I've got help :-P Thanks!
 
6:51 AM
just passing thru, so if you don't have anything specific... the best answer follows the best question....
 
user228700
@TonyStewart No, I don't have any specific questions just yet. I was just asking if anybody knows so I can ask if I do have specific questions in a bit, as I start this chapter...
 
user228700
@TonyStewart Oh, so u're usually around at the EE chat?
 
The main thing is to understand the physics of PN junctions, which is actually pretty straightforward. The rest follows from there.
 
user228700
@JohnRennie Huh. I think I understand that fairly well...or at least I used to.
 
user228700
Alright, I'll go away now and come back with actual questions.
 
6:54 AM
amplifiers are like power steering for cars except for audio each polarity ends up with separate drivers , merged together and logic is like high speed the signals. amplifiers that saturate to the V+ and ground "rail"
PN is. log scale of current and resistance until "saturated" at Vf@ rated I
The after that PN behaves like a resistor inverse to its power rating, so a 1W diode is about 1 Ohm and a 100W diode is about 0.01 Ohm for incremental V/I rise
So for logic this "Resistance" is small enough r simply call the voltage logic 1 or 0, although there are specific tolerances for each depending on load current. Same idea for logic is used in Full Bridges for Motor Drivers.. just bigger switches
If you try to understand the effective resistance or "impedance" ( which includes reactive parts which can stored energy in L or C)..... then you can master electronics.... as it often comes down to Resistance ratios or Impedance Ratios for everything
 
user228700
Wow, um, @TonyS: I have only just started reading the chapter. I will ask you (if you are around) or JR when I encounter real questions. Thanks so much :-)
 
like the length of teeter-totter depends on length ratio , this is how gain is measured
you
I may not be here, so seek and ye shall find.. ttfn
 
user228700
Okay. It's nice to meet you :-)
 
ciao
 
user228700
(I am actually thinking about doing a dual degree in EE and Physics at university next year so I might pop by the EE chat for advice in a few months. @JohnR: How about that?! :-P)
 
7:07 AM
I was fascinated by electronics as a lad. I used to build various amusing but basically useless electronic devices.
But that was before microprocessors existed, and as soon as they took off I put aside the soldering iron in favour of a keyboard :-)
 
user228700
Oh, really? Yeah, well, I am not particularly interested in electronics (especially not after struggling with this wretched chapter for months on end, last year) but there's an amazing 5-year course in one of the colleges I desperately want to join so, yeah...
 
I did consider switching to electronic engineering at university. If you've done two years of science Cambridge have an option to switch to an electronics course for the final year. A friend of mine did it and enjoyed it immensely.
 
user228700
Oh, that's interesting!
 
user228700
Why didn't u?
 
In the end I decided to stay with science, and for me that was probably a good decision.
 
user228700
7:11 AM
Hmm, okay :-)
 
7:49 AM
Guys a small help why is calculated magnetic field different from observed value?
*moment
=$\sqrt{n(n+2)}$, where n is no of unpaired e-
 
8:36 AM
@Kaumudi.H only 4 items in your syallbus?
too easy
 
user228700
8:51 AM
@Kenshin -__-
 
Just four items: physics, chemistry, biology and maths. Easy really :-)
 
Last night dream: (A seminar on a mexican legend (that actually there is no such thing in the real life counterpart))
(forgot except family went to various seminars in a tent organised by various institutions and etc. One of these talks is about a professor specialise in linguistics and mexican culture. He talks about a mexican legend of King Tempurura and his sons
At the ruins, various traditional rituals where found such as something called an offering pot. People involved in the ritual will first fill a small metal bowl with various food items include Doritos rings. This bowl is then placed under a carved statue in a volcanic cavern. Some time later, the natural lava tides in the cave will rise and thus
 
user228700
@JohnRennie Good God, no Biology for my exam!
 
9:18 AM
I must admit that I was grateful to give up biology when I left school.
 
user228700
@JohnRennie I gave it up 3 years ago, while I was still in school. We didn't need to take it in our "Junior & Senior" years of high school.
 
but the best bits of biology is after school
 
I did A level biology as a sort of part time subject. I focussed mainly on the Physics, Chemistry and Maths A and S levels. The predictable result was that I didn't get a very good grade for biology. It was sort of interesting though.
 
user228700
@Kenshin I wouldn't know .__.
 
user228700
Speaking of "best bits after school":
 
9:44 AM
wats dat
nd y is obama there, shouldn't it be trump?
 
duncare for biology
 
u r biology
also biological systems are currently the most intelligent systems in the world
 
so what
 
well intelligence is power
and understanding power can help one wield it
make sense brah?
 
sound like a pretty boring thing to do tbh
 
9:51 AM
wielding power?
 
I dunno u can have fun wit it
just don't abuse it
 
maybe abusing power is an inevitable consequence of wielding it, whoknows
 
no it's not
 
w/e it's pretty dumb anyway, human understanding of power
 
9:58 AM
ur not making sense tho
 
that's the point, dude
 
how come
 
wielding power in some sense is a pretty sensible thing to do for any intelligent being; indeed, maybe we can call it the essence of intelligence - securing one's existence somehow is also attaining some sort of control. so it's natural that not being interested in it is would not make sense, nah?
 
so what
 
10:37 AM
i give up being silly; got work to do :P
 
10:54 AM
Is there anything Weinberg didn't write a book on? Lol
 

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