Why are we using retarded notation like
[eqn]log_b(c)=a[/eqn]
and
[eqn]\sqrt[y]{x}[/eqn]
Addition, subtraction, multiplication and sometimes division are simple, you have two arguments with the operation as a neat symbol in the middle. As seen below.
[eqn]a + b = c \\ c - a = b \\ c - b = a [/eqn]
[eqn]a\cdot{b} = c \\ \frac{c}{a}=b \\ \frac{c}{b}=a [/eqn]
Division takes up some vertical space, but there's an alternative that's just like the earlier symbols.
[eqn]c ÷ a = b \\ c ÷ b = a [/eqn]
Meanwhile, exponentiation and its inverses are a complete mess.
[eqn]a^{b}=c \\ log_a(c) = b \\ \sqrt[b]{c}=a [/eqn]
Did mathematicians just give up here?
Go ahead and suggest better notation
https://en.wikipedia.org/wiki/Caret
>>8504973
>a^b=c is easier to read
seriously ?
Hey /sci/ I need to retake Calc 1 next semester for uni, I already took pre-Calc and have solid skills with algebra/trig and all that stuff. I want to know if there is any material / reading I can work through over my winter break to prepare myself in not getting assfucked retaking Calc in the spring?
Thanks guys :)
>>8504831
khan academy
patrickjmy
pauls math math notes lamar
mit ocw
>>8504831
Why did you fail the first time?
If you were mindlessly turning the crank without understanding what you're doing in math, read Gelfand's "Algebra" and "Trigonometry" books and learn how to do math by understand it.
If you couldn't understand the concepts, get Kline's "Calculus: An Intuitive and Physical Approach".
>>8504948
wasn't able to keep up with the pacing, concepts getting introduced too quickly, eventually fell behind
What's to stop a small or micrometeorite from impacting the ISS and headshotting some astrofag?
nothing
>>8504614
Then where the nasa zapruder film at? why aint space off'd one of them floaty muthafuckas?
>>8504611
The particle would have to be somewhat massive, because passing through the ISS shell would vaporize the pebble. The hull is effectively a Whipple shield.
That's all. The thin little bit of mass separating the astronauts from the vacuum.
how do you make yourself work instead of browsing the internet? if i could make myself study 8h/day i would be 10 times smarter than i am
>>8504609
If you want to do it, you will do it. Your local lesswrong group runs DOJOs to help with this sort of thing.
>>8504609
On big terms:
>Get your ass down and study.
On minor terms, ask yourself if you're just like the rest of the normal people that really hate doing work while they could be doing something else at least more rewarding in the short term and accept it to learn that there is no other way but to get your shit together and use the internet in the way you supossed it would be used when you opened your browser; as a tool to learn.
And then you get your ass down and study.
>>8504609
There is no easy way to go around it. You need the desire to be better for the sake of being better. You need passion. You need discipline. Realize that you are going to go through pain and beyond pain. Look at people around you and think how they are going to regret and how they already regret that they are not the person they could have been. They wasted their youth with partying, watching tv, playing videogames and for what? They didn't build the foundations for their future and now they want their youth back. Well too bad. Have you seen an old person saying "God I wish I could have watched more tv and go party more often"? Of cource not. Everybody realizes it is wasted time but they just cound't help it. Just like you now can't and that needs to change.
So basically you need to become more aware of the fact that you will die and internet is a distraction that you will regret spending so much time on.
Why are these two considered among the best minds of science in current times? Just listen to this pseudo-intellectual conversation
https://www.youtube.com/watch?v=fbrQ8F-LQNs
>>8504064
hi there obvious shitposter!
great thread
>>8504064
because they say what fedoras want to hear.
>>8504064
A fucking freshman in Bio I knows more science than Dawkings
Why was this fedora lord even taken seriously?
Wasn't sure if this belonged in the SQT so here's a proof I don't quite understand. I can upload the book's solution but they did an ellipsis proof:
>part 1
>part 2
>...
>proven
Any help with this anons?
It belongs to SQT. This board is for the discussion of science and math, not for petty problems. Just do it by induction over the k, it should follow directly. Now delete this thread faggot.
>>8503801
Suck eggs
If AE=lambdaE
Then A(AE)=A(lambdaE)=lambda(AE)=lambda^2(E)
etc. see the pattern?
Okay /sci/, here's my proposal.
A giant water pump (nuclear powered) that would drain away the excess sea water from earth as a last ditch effort to prevent global warming from flooding cities.
I'm asking if something like this is feasible and since the pipe itself would be under enormous pressure, what would the realistic dimensions and thickness of the pipe walls be?
Here's a rough sketch of what I'm thinking.
>>8504746
I don't think there's enough energy on the earth's surface to do what you're purposing. You would need to use the earth's mantle to power that shit.
>>8504750
A volcano powered thermal plant instead of a nuclear one if that's the case? I don't think power would be an issue, but engineering a pump and pipeline that could withstand the enormous water pressure that would be the biggest issue.
genious
If, theoretically, the entire human race circumcised every newborn male, would that eventually (millions of years down the road) become a part of our evolution?
If so, why?
If not, why not?
It would not because evolution doesn't work like that.
OP, your homework is to seek out and reflect upon the non-internet-related definition of the word 'meme'.
>>8503977
If all people would have their hands cut for millions of years newborns would still have hands because they still have the genes for it.
If you want to get rid of the foreskin, or any trait in general, you have to get rid of the genes responsible for it, however it should be noted that not all traits are genetic there are of course environmental traits which can also be removed more easily by removing the environmental factors.
>I'd major in physics but I suck at and hate math
How do you respond?
>>8503213
Git gud
People skills are far more superior to math. There will never be adequate funding and resources for the amazing projects mankind can complete without reshaping the culture of the west. A great orator and salesman will go 1000x further to advancing scientific pursuits than any above average mathematician (which you are not).
>>8503222
Yeah, but he wants to be a physicist. You kinda need math for that.
>Philosophy major
>Hate philosophy
I would like to pursue something abstract that makes me look smart in family reunions.
I thought about switching to pure math.
Thoughts?
Just keep in mind that you have to actually be smart for pure math.
If your aim is to impress strangers you're 100 times better off becoming a medical doctor or even an engineer or lawyer.
Most people think math/science students are sort of spergy and entirely unemployable.
For example for Thanksgiving I discussed Descartes famous idea of "I think, therefore I am" to my relatives. They were very much impressed and were glad they finally grasped its meaning. I understand that this guy Euclid did something similar but for mathematics.
Evolution is one of those things you accept as true when you take it at face value but the more you read about it the more nonsensical it becomes.
It's literally the "muh invisible hand" of the biological sciences.
Prove me wrong.
Protip: you literally can't
>>8502173
>muh invisible hand
Not really, it's very visible. Normally you see it in the form of a giant animal with fuck-off-big claws.
>>8502173
>the more you read about it the more nonsensical it becomes.
That which endures, endures.
That which does not, does not.
>nonsensical
>>8502173
you're not reading it properly then
>pic related, it's you
>he fell for the chain rule meme
>>8504701
>two ways of writing the same thing
how's AP calculus treating you?
>>8504706
>Tfw there are 16 year olds on this board right now.
>>8504706
>AP calculus
more like high school
Why are solar systems and such always shown as horizontal orbits?
Why dont we see lots of orbits that go vertical and horizontal?
>>8504685
when solar systems are forming, the dust cloud's spin tends to push most of the material into a relatively flat plane.
>Why dont we see lots of orbits that go vertical and horizontal
But we see.
>>8504685
Becuse the gravety of each planet pulls slightly on all the other planets, pulling the solar system flat-ish. Same reason why galexies are flat
Is everything programmable?
>>8504621
If you really want to find out then you have to program a program that determines if everything is programmable.
>>8504621
No it's not. Halting problem
>>8504621
define everything
You should be able to solve this.
>>8504537
trivial application of the triangle inequality
>>8504551
Oh yeah? Apply it then. I'll wait.
>>8504552
do your homework you faggot.