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01:00 - 19:0019:00 - 00:00

1:07 AM
Is there a reason that integrals of motion are called that?
 
1:27 AM
Not sure why they use those words exactly
Found this
Pretty interesting
Basically solving the EL equations produces implicit solutions, which are functions $f_i(q_j,\dot{q}_j,t) = C_i$, which are basically 'integrals' of the differential equations, but they are just relations between the positions and velocities giving some constant value along the path of motion, with a time derivative of zero, so any relation like this is called an integral of motion
 
vzn
1:49 AM
@NovaliumCompany re steve jobs there are 2 hollywood movies with A list actors + some documentaries, recommend them, think youll like em
 
2:00 AM
> angular momentum: $\mathbf{H}_O = m \mathbf{r} \times \mathbf{v}$
ew
> linear momentum: $\mathbf{G} = m \mathbf{v}$
I've never thought of integrating the EL equations though. That's interesting. They also mention that solving the EL equations is essentially the same as finding 2f integrals of motion, which would be an interesting little exercise
 
 
2 hours later…
4:16 AM
@dmckee I must admit i have never understood what an entangled system looks like in relativistic quantum mechanics. I've just always taken it on faith.
 
4:27 AM
I love rationalwiki
 
4:38 AM
@JohnRennie yeah, I don’t know it rightly either and it bothers me sometimes
 
@Semiclassical it bothers me, but so far it hasn't bothered me enough to make put in the effort to learn about it :-)
 
5:02 AM
i am going down the redpill rabbithole
help
 
5:14 AM
Morning to everyone :-)
Guys, could I please get your opinion on this: doodle.com/poll/w457wgqvxinm2dnu
 
5:28 AM
Actually, nevermind, why am I asking this in a physics forum :D
 
 
2 hours later…
7:03 AM
if there is noncommutative spacetime, is there noncommutative spinor?
 
what does a noncommutative spinor look like, does it obey some extra commutator rules?
 
what commutator rules does a noncommutative spacetime obey?
 
7:20 AM
no idea, a noncommutative spacetime seemed to have a very different structure from a commutative one, so it might not be captured with commutators
 
8:12 AM
> In our present reality (which is slowly transitioning towards a new reality because of The Plan), there are things which are conspicuous to us and there are things that are hidden, subtle or concealed. Often the obvious things caught us attention easily and it is also easy to resolve their properties
> The reality that is shown after The Illuminati have ruled is one where even ordinary things become subtle and non obvious, as everything took the traits of the gray concepts. The result is like reading for weak features among a lot of noise and silence in a spectrum, almost everything requires attention to even be able to be perceived. That things are easily overlooked became the norm
> In addition to that, emotions, sensations and feelings became so mild that it is borderline nonexistent thus as an analogy, only people who are used to tasting mild flavor foods can pick up the subtle differences in flavors
> Philosophically speaking, that new state of reality is like as if everything is blanked by a metaphysical "fog". You need to be very observant to see the features that is concealed behind it
> It is uncertain if that is the reality I want to live for the rest of eternity, even though I am already quite used to it, as evidenced by my wide variety of very intense neutral emotions
> this state of reality is very desensitising. Not in the way like a flotation chamber or an anechoic chamber where you felt a strong sense of sensations being sucked away from you, you literally felt almost not feeling anything at all, as if you are sleeping, but much less conscious than that. The only sign that you knew you are feeling almost nothing is the occasional neutral tubulence of emotion felt with an intensity just a few milimeters above some baseline of silence
> As a result, I am very familiar with what it is like to feel absolutely nothing. Nothingness is my default emotional and perceptional state
typo: Replace gray concept with The Illuminati
This is last night dream btw, never thought my dreams wll explore something as subtle as nothingness itself
 
again with the walls of text?
 
It does not exists, for there is basically no one here, just you and me
 
np pal
 
Nothingness have been overlooked for centuries, if The Iluminati does exist, it is their duty to give them voice
even if it means making everything to have the property of being easily overlooked
The troubles of people is that they tend to get attracted to catchy things, and forgot and overlook awesome things that are less able to capture their attention
and it is one reason why the media is making things worse, because they love conflicts as it is catchy
 
the word "nothing" itself is paradoxical
 
8:22 AM
It is, but at the same time a very important concept to understand
like in the context of physics, the vacuum is not empty, it is filled with quantum fields
 
@ACuriousMind is that why I hear git users shouting "Oh my God" so often? :-)
 
how's the arthritis feeling?
 
@CupFever me?
 
yup :-)
 
8:38 AM
It's OK. It isn't really a big deal, just a dull ache that comes and goes. The sort of thing you stop noticing as soon as you start concentrating on something - e.g. answering a question here. Thanks for asking :-)
Obviously the cure is for me to post more answers on the PSE :-)
 
or a bit of exercise?
do you go for walks...
 
Osteoarthritis happens when joints get worn out by decades of use. You have to be cautious about exercise because that will just wear the joints even more.
 
true, check with a specialist
 
Mild exercise is good because it stretches the muscles and helps with the stiffness and inflammation. I do a lot of cycling, which is very gentle on the joints, and that does help.
But for example going running would be a very bad idea!
 
0
Q: Quaternion Electric/Magnetic field reception

xakepp35I always wondered: why people think of EM field in terms of real numbers, since it exists in 3D space and is described by both direction and strength at some point? Is not it more natural to threat it as quaternions?.. And my question is about possibility of antenna construction. As for electric...

quarternion EM fields?????
 
8:42 AM
The EM field is best described by a tensor
 
they say swimming is easy on the joints @JohnRennie
 
Specifically the field strength tensor. So it is more complicated than just a number (a scalar) but I'm not sure I see how quaternions help.
 
You need 6 free components to describe the EM field, and a quternion only offers 4 of them, so yeah...
 
@CupFever I have to say I'm not keen on communal swimming baths, or at least not popular ones. It seems like a great way for people to share their diseases.
 
yeah, me neither
stay with cycling and perhaps get an indoor stationary bike
 
8:47 AM
@JohnRennie That's one way to look at it
 
I use git, but I have several times had git suddenly decide it didn't want to play any more. Fortunately github.com is pretty reliable so usually it just means deleting your local repository and redownloading from github.
I wouldn't recommend using a local copy of git unless you have access to a git wizard.
 
Yeah, it's certainly not perfect, but it's much better than just hoping you don't click "delete" at the wrong time :P
 
@ACuriousMind while you're here: we had a question a few days ago about whether gravitational field lines can be parallel. The answer was "yes for an infinite plate", which is fine but it makes me wonder if field lines can ever be parallel for a finite geometry.
This would apply to EM too ...
I have an idea the answer is no but I'm not sure how you'd demonstrate that.
 
which begs the question can they be perpendicular?
 
@CupFever field lines can't intersect ...
 
8:56 AM
@JohnRennie I don't think it is in principle impossible to have a part of a finite geometry produce parallel field lines, but I don't really know either way
And, I mean, the field between finite plates already comes pretty close to being parallel
 
@ACuriousMind it struck me as an intriguing problem. I have absolutely no idea how you would go about answering it.
 
People treat the field inside plate capacitors as parallel all the time and it just works fine
 
Well yes, but pretty parallel \ne parallel
Actually, come to think of it, field lines in a finite parallel capacitor would be parallel at a point i.e. in the mid plane of the capacitor.
So I guess the question is whether they can be parallel for a non-zero distance
Actually, now I think about it, lots of geometries have field lines parallel at a point. A simple dipole for example.
But I can't think of any where the field lines are parallel for a finite distance.
 
@JohnRennie I'm not sure what you mean by field lines "parallel at a point"
If you draw the same field line twice, of course it's going to be parallel to itself :P
Do you mean that at that point the field line is just a straight line?
 
parallel lines must be different lines
 
user351417
9:04 AM
@ACuriousMind I dunno, in Bangalore, there are tonnes of people who take APs. An extremely tiny fraction, but still a pretty large number. The concept of applying to other countries has increased extremely noticeably over even the last 3 years, so a lot of people take it for the credits/prerequisites. And odly enough, several people doing the IB take APs as well, no idea why.
 
That's a simple dipole, and along the red dashed line all the field lines have tangents that are parallel.
 
@JohnRennie Ah
@Chair Okay, then let me revise my statement to "In Europe, APs are not really a concept."
 
England has them.
 
@ACuriousMind field lines can be straight, e.g. a point charge where they are radial. The question is can they be straight and parallel to some other field line.
 
@JohnRennie Yeah, that I don't know. It feels like it's something that only happens with idealization like the infinite plate, but I'm not sure that's the case
 
9:11 AM
@ACuriousMind it feels as though it ought to be easy. Something like showing the geodesic deviation cannot be zero.
Hmm, field lines aren't geodesics though. Or at least I don't think so.
But there must be a equivalent equation for the deviation of field lines.
@ACuriousMind I can tell you think it's a fascinating question :-)
 
@JohnRennie Well, but it is possible by Maxwell's equations alone - we just have decided that the situation in which it happens is not physical
 
I might ask it as my first question ever on the Math SE
I guess a starting point would be to ask what the condition is for a field line to be straight, since that is a prerequisite.
 
@JohnRennie In math speak, the field lines are the integral curves of the vector field ;)
 
I'll put it on the list of things to work on one day :-)
I think a straight field line requires axial symmetry. So two parallel straight field lines would require axial symmetry abut two separate axes, which is impossible.
(damn I'm good :-)
Well, rotational symmetry - not necessarily full axial symmetry.
 
9:30 AM
@JohnRennie But that's only if the field line is a straight line going off to infinity. A short straight section of a line wouldn't force symmetry
 
True ...
But then the question is can a field line be straight for only a portion of it's length?
 
10:15 AM
Hmm this is interesting. When someone says two lines are parallel, I think of it as if one line can be by translation superimposed with the other line. Does something like that exist with integral curves(if I want to say field lines are parallel?)
@JohnRennie Intriguing question
 
what does the grade of a vector space mean?
 
A graded vector space ?
 
10:30 AM
ugh, I really hate how the thing that stops me from getting the last 20 data points is all that stupid sed awk bash stuff I really REALLY don't want to care about
why is it so hard to tell the computer to copy a block of text from one file to another 2 lines after a specific keyword is found
 
@JohnRennie yes. but the Wikipedia page of "A graded vector space" doesn't say what it means by the grade of a vector space.
 
@CaptainBohemian It is not that the vector space possesses a grade. It is that its elements have grades.
For instance, in a $\mathbb{Z}_2$-graded vector space, there are "even" and "odd" elements, depending on whether they are graded with the 0 or the 1 from $\mathbb{Z}_2$.
@Secret Because string processing is hard.
 
::headdesk::
 
:(
 
All the heuristic pattern matching that we humans do so intuitively is not as easy to distill into code.
 
10:36 AM
yeah, especially for heuristic thinkers :-)
 
I am starting to wonder whether I really understand how we humans match patterns. We literally don't need to think, see a match, and then we quickly did stuff
 
yup, symmetry is hard to define
for example, how would you explain it to a blind person?
 
hmm...
 
or even a very young child
 
10:55 AM
34
Q: Has anyone ever drawn a football field in latex?

ryukHas anyone ever drawn a football field in latex? I know that could seem like a strange request. But I'm looking for a package that allows me to draw a football field.

 
@ACuriousMind I am indeed reading the super vector space of Wikipedia, but I still don't quite know what grade there means. Does that grade refer to the dimension of the geometrical object, like a differentia form, on that vector space? why does it become parity?
 
@CaptainBohemian As the article on graded vector spaces says, a graded vector space is the direct sum of non-graded spaces $V_i$, labeled by indices $i$ drawn from some index set. An element that lies in e.g. $V_2$ is said to have grade 2. The definition of a graded space itself contains no restriction on what a grade is or what it "means".
For s super vector space as it commonly occurs in physics, the gradation is usually a $\mathbb{Z}_2$-gradation and the two non-graded spaces the supervectorspace consists of are the spaces of bosonic and fermionic elements. But, there are completely different kinds of grades, for instance, the space of all differential forms is also a graded space, the grade being simply the $p$ for any $p$-form.
 
Does anyone want to play spot the circuit
Because I lost :(
 
11:13 AM
@ACuriousMind you mean the definition of "grade" is not universal? In other words, there are different definitions of "grade", depending on the context?
 
@CaptainBohemian I'm not quite sure what you mean by "not universal", but a grade is essentially just like a function: In the definition of a "function", there's also nothing that tells you about its "meaning", and indeed there are many different functions with very different meanings. Would you say there are "different definitions of 'function'" because of that?
 
11:34 AM
@ACuriousMind according to your likening grade to function, it's like I misunderstand the meaning of grade. I originally consider grade means the dimension of an object because I have seen literature uses the grade to refer to the dimension of a differential form or a Clifford algebra. But according to your likening, grade seems to refer to the category of the object/element on the vector space.
 
@CaptainBohemian Well, the dimension of a differential form is one example of a grade, just like the identity is one example of a function.
 
@ACuriousMind ok, thank you. I will think further.
 
12:01 PM
@AvnishKabaj I'm not a person to speak, but why not use the superposition theorem in the circuit?
 
@NovaliumCompany that should simplify stuff
 
I guess.
 
But generally in massive questions like these we just need to find 1-2 suitable circuits and apply kvl
 
Considering all the emf sources present in the circuit, superposition theorem would be too complicated to apply but possible. (Lol I sound like a professor already)
 
12:38 PM
@ACuriousMind specifically, the dimension of a differential form is C-
 
har har har
 
¯\ _(ツ)_/¯
I just call 'em as I see 'em
 
Anonymous
@AvnishKabaj Nodal analysis comes to mind immediately. Label one of the nodes as 0V and try deduce the potentials of the other
 
1
Q: Can every function be written as a total derivative?

John RennieThis is motivated by a question in the Physics SE, but it's a math question not a physical one. For every function $G(x, t)$, can the function be written as a total derivative (wrt $t$) of some other function $F(x, t)$? A simple counterexample would be fine; hopefully that would be simpler for a...

I mean, failing memory and all, but still, it's public record, and it's right on your profile
¯\ _(ツ)_/¯
 
12:51 PM
@Blue I found the two paths
Yipee
 
ok, after god knows how many hours, I came to conclude that sed and awk simply cannot do what I want it to do and I need to use python
the issue is the stuff to be copied has too many floating points thus bash cannot handle it
let's hope this code will work now so I can get the last 20 data points to fullfill my promise
 
1:34 PM
Guys, does this chip - PIC16F84A have an internal oscillator (I looked at the datasheet but I guess I don't know where to look)
Also are all of the RA and RB pins binary (meaning 1 and 0, ON and OFF) and also can they listen to input?
All of the schematics seem to have implemented and external oscillator so I guess it doesn't have one?
Ok, I shall then use this PIC16F627A for my project (since it has an internal oscillator)
Actually PIC16F648A this one.
@Chair U understand electronics?
 
user351417
1:53 PM
Kind of... I do a lot of stuff with my raspberry pi
 
user351417
But I don't have a very broad idea
 
Ok, can I ask something?
 
user351417
Shoot. I'll try to answer
 
For example, in this PIC16F648A, all of the pins are actually digital (meaning only 1 and 0) right?
 
user351417
Lemme check the datasheets. One minute
 
1:54 PM
Also does it have an internal oscillator?
Also for example if I turn a pin on, what's the current and voltage going through it? And what about if I turn multiple pins on?
 
user351417
It seems to have a built in feedback oscillator. ww1.microchip.com/downloads/en/DeviceDoc/35007C.pdf Check out the block diagram
 
Ok what about the last question?
 
user351417
Um... I don't really know. But most of these things want about 20-30 mA...
 
user351417
At least the couple of times I used a PIC I got away with 25mA
 
I mean, what's the voltage going out of a pin (when this pin is programatically turned on)? (The current going out will depend on the resistance of the load)
You supply the PIC with for example 5V. When you turn a pin ON, what's the voltage going out of this pin?
 
2:10 PM
@EmilioPisanty we old people get confused easily :-)
 
2:36 PM
@@JohnRennie
Pls expalin me what is meant by phase transition and the fibbs energy associated with it...
I cannot follow
How is nucleation brought about while crystallisation and what is meant by a supercooled liquid?
Expalin that with diagrams if necessary....I have absolutely messed up the concepts
 
2:57 PM
@JohnRennie I know
it's why making fun of y'all is so easy and so fun =P
@gateprep fibbs energy is how hard it is to lie about something
if what you really want to know about is Gibbs energy then yes, @JohnRennie is in a better position to answer
 
@EmilioPisanty :P I mistyped it...LOL
But if u can answer just go ahead...
 
user351417
@NovaliumCompany Usually those things are 3.3 V on High, then you use a PWM or something
 
user351417
But I don't know about that particular pic... check out the datasheets; it'll be hidden in there somewhere.
 
17 hours ago, by dmckee
And—just maybe—if they ask again someone will slip up and give them the easy version.
well, the so called "easy" version is that you need the maths to show it
 
3:23 PM
“There is no royal road to quantum mechanics.”
 
Has anyone applied Penrose diagrams to tensor networks?
 
user351417
@EmilioPisanty I think you should multiply that by the magnitude of the lie. It just feels right... you see a bit of symmetry between this and the force times displacement stuff.
 
@Secret i made my own penrose diagram
 
the bleeeeeep is this website
shoe te diagram
 
3:32 PM
For anyone who doesn't know what a penrose diagram is here's what it looks like
I rotated it
 
vzn
@Secret cool stuff, was trying to link tensor networks to fluid paradigm & didnt get much )(, but then tried AdS/ CFT & then turned up these cool refs o_O Asymptotic perfect fluid dynamics as a consequence of AdS/CFT arxiv.org/abs/hep-th/0512162 Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence arxiv.org/abs/0905.4352 etc
 
3:52 PM
anybody who can tell me the necleation process in crystal?
 
Anonymous
@Semiclassical Do you have Mathematica handy? I'm trying to calculate a matrix exponential but it's getting too big for WA
 
Anonymous
This is the matrix $$A = \frac{1}{4} \left(\begin{matrix} 15 & 9 & 5 & 3 \\ 9 & 15 & 3 & -5 \\ 5 & 3 & 15 & -9 \\ -3 & -5 & -9 & 15 \end{matrix}\right)$$
 
Anonymous
I need $e^{iAt_0/16}$ for $t_0=2\pi$
 
Anonymous
There's this: comnuan.com/cmnn01015
 
Anonymous
But I'm not sure if I can trust the output from there
 
3:58 PM
Not right now I don’t
 
Anonymous
Okaies, np
 
I’ll be back on my laptop in a few hours
Hmm, should the bottom left and upper right elements have the same sign? The matrix isn’t real symmetric otherwise
 
How about world cup..
 
Anonymous
 
Anonymous
@Semiclassical Nope, doesn't seem so
 
Anonymous
4:02 PM
I just need to find an approximation
 
@Blue you have Facebook mail
 
@Slereah you get tensor network question from geocalc33
it's not deep enough
 
@Blue the matrix you wrote and the matrix in that section differ in sign for the upper right element
As such, their matrix is real symmetric
 
4:20 PM
Surely it's going to be 7-1
Except France makes the 7 goals lmao
 
so if france won, is it to be expected?
 
Eh, their win against Belgium was a fluke, so
4-1!!!!
 
:-(
 
Anonymous
@Semiclassical Oh, sorry. Yeah, missed that one :/
 
Anonymous
Thanks
 
Anonymous
4:25 PM
I'm re-doing the calculation once
 
4-2!!!!
What is this game
This is terrible
 
Anonymous
France has a good "overall" team
 
This is like reverse Chess
Who can missgoal more
 
4:46 PM
@Blue sympy?
 
Anonymous
@danielunderwood Nice! I didn't know: docs.sympy.org/latest/modules/matrices/…
 
It's what I use when I'm too cheap to buy mathematica lol
 
Anonymous
Same here, lol. I should try that one
 
Update on progress: Finally, the sed awk bash python blues is over. Now to get the last 20 datapoints
 
Terribad game
 
4:56 PM
France won...
::sadface::
 
international football's quality has drooped to local middle school football
 
plus this terrible "video assistant referee" :-(
I want my football back.
 
Well it was a penalty alright
But refereeing in this world cup has been generically bad
Honestly the loser's match yesterday with England and Belgium was the true final
 
Also Spain – Portugal was better than this "final".
 
Today's SMBC is so true it burns.
5
 
5:08 PM
Well I just learned of a new animal
 
I had to look up the caracal, too :D
 
Wait so tutoring could be a cheaper option than a phd?
 
> Exotic cats range in price from a $900.00 Bobcat to a $7500.00 tiger cub. Most of the mid size cats, like Servals and Caracals cost $1700.00 to $2800.00 and Ocelots can run as high as $15,000.00. The more rare the cat, the higher the price.
hm
 
> Bobcattoa
sounds like a very exotic cat
 
@danielunderwood It's your MathJax script messing with the dollar signs :P
 
5:12 PM
Ahhh that would explain it
But I'll stick to believing it should have been a bobcattoa lol
I think there's a potential for a "rent a PhD" program though
 
@geocalc33 The claim is that you could hire three 'adjuncts" as tutors for less than the cost of tuition at a private university.
And at least in the sciences a large fraction of adjuncts hold terminal degrees.
 
5:29 PM
On a different but related note, I was reflecting on graduate assistants and the whole “tuition waiver” kerfuffle from last fall
And I basically view that as an attempt to undermine higher ed by targeting the grad student population
Which on the one hand was pretty despicable, given how much harm it would have inflicted on grad students
On the other hand, the fact such a tactic could be effective in the first place doesn’t say good things about the stability of that system
 
@blue you still around?
 
Anonymous
@JohnRennie Just saw your message. Replying on FB!
 
Sid
YES! My World Cup prediction right on spot with the winner.
 
(I may have already posted this here? no idea. if so, apologies.)
 
5:45 PM
Bottom line for me: that right-wing attacks on higher ed are usually BS doesn’t mean that higher ed isn’t f***ed up
 
@EmilioPisanty I've seen several (as many as half?) of those in action.
 
I saw a large number of students actually wanting the teaching to the tests and grade inflation ones while I was in college. Kind of sad actually
 
Eh. They respond to incentives, and they’re subject to a lot of those
It’s hard to be idealistic about education in a culture that mostly values it as a means of getting a higher paying career
 
6:06 PM
@JohnRennie How to calculate free energy change for a phase..
 
@gateprep it's late here and I'm quitting for the day. Ask me tomorrow.
 
R u available on FB
May I have your profile
 
I don't discuss physics on Facebook
 
@bolbteppa L&L Vol 1 Ch 3 kind of discusses integrating EL equations that you mentioned last night
 
How to calculate free energy change for a phase..
anybody
 
6:29 PM
@danielunderwood If your purpose in being at college is to get a credential for a desk job or specific job skills then that approach (a) is predictable, (b) gets you what you want, and (c) is familiar to you from secondary school (in the US, anyway).
 
Guys, what do people mean when they say that "Steve Jobs knows how to sell"? Does this mean that Steve Jobs just knows how to present a product so that the customer would want to buy it?
Basically, what does "Knowing how to sell" mean?
 
Anonymous
There are some good biographies on Steve Jobs. Give them a read maybe :)
 
Anonymous
From what I know about him, he never tried to over-do advertisements and also upheld the quality which he promised.
 
Anonymous
But keep in mind that Jobs changed a lot over the years
 
Anonymous
Young Jobs was not necessarily the same person as aged Jobs
 
6:40 PM
:D Of course, I guess he learned by mistakes.
@Blue I started watching linear algebra today :) The linear combinations and span part are quite complicated. (Or that's maybe because I didn't watch the full 20 mins Khan video)
 
Anonymous
Many of his co-workers considered him to be an arse though. He is infamous for being brash and arrogant.
 
Anonymous
Another reminder that successful people come in all shapes and sizes ;)
 
Everything has pros and cons ;-)
 
Anonymous
I have much greater respect for Wozniak tbh.
 
Anonymous
Not to belittle Jobs' achievements, however.
 
6:45 PM
Yep, I like Wozniak too.
Also what was unique about Jobs' company? Was he the first one to introduce computers in the consumer's homes?
 
Anonymous
They built beautiful GUIs
 
Simply said, they were better than others? Was there competition at the time? (Other companies producing computers, like Apple)?
 
Anonymous
I remember Jobs once mentioning that if it were not for some calligraphy classes which he took (just by chance, after he had dropped out), probably we wouldn't have such great typography on our PCs
 
Anonymous
He claimed that Microsoft copied their typography ideas :P
 
Anonymous
And yes, of course, they were a lot ahead in terms of "product quality" (the major credit belonging to Wozniak, of course)
 
6:52 PM
Was there competition at the time? (Other companies producing computers, like Apple)?
When they were starting.
 
Anonymous
Microsoft I guess?
 
Anonymous
There sure were many more
 
And Steve and Woz just did it better?
 
Anonymous
The Macintosh, released in 1984, was the first mass-market personal computer that featured an integral graphical user interface and mouse.
In 1984, Apple launched the Macintosh, the first personal computer to be sold **without a programming language**
 
Meaning, they replaced the console where people types, with clickable user interface (with a mouse of course)?
 
Anonymous
6:56 PM
@NovaliumCompany Yes
 
Anonymous
(afaik)
 
Ok then :)
Can u help me understand linear combinations?
and span?
 
@dmckee Yeah that's true. I just always wanted to go to school to learn things that I was curious about. Probably the one that annoyed me the worst were all the people going for CS only due to high-paying jobs even though they had no interest in computers. I guess there are different views for different people though.
 
Anonymous
@NovaliumCompany I got some work now. But there are others here who may be able to help you :) Did you watch the 3Blue1Brown lectures btw? (on linear algebra)
 
I haven't. I'll do that first :)
 
6:57 PM
@Semiclassical eh, aren't we all
except @ACuriousMind, he's offed himself from that set of incentives
 
no regrets :)
 
@NovaliumCompany Steve Jobs doesn't know how to sell
'coz he's dead
 
xDD Right, I noticed that too but was too late to edit.
 
@ACuriousMind "... thus far."
 
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