Archived threads in /sci/ - Science & Math - 26. page
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I have an arithmetic sequence 0,1,2,3...,2n
a1=0
Now the sum of the numbers at the even places is
n^2 if I'm not wrong, I used the standard arithmetic sequence sum formula where my first value is 1 and my last value is 2n-1 and the number of vlues is n.
Did I do this correctly ?
>>8187214
s(0) = 0
s(1) = 2
s(2) = 6
s(3) = 12
none are square
>>8187251
When you do S(3) my formula will calculate the first 3 values of the series ,that's what I meant
>>8187270
oh
so S(3) = s(0)+s(1)+s(2)+s(3)?
Bayesian is the way?
>>8187193
Answer cannot be A because if the answer were A then it would also be D which is a contradiction. With only B and C there is no way for it to be 60% this B is the correct answer
Ill-defined problem, the space you are trying to define a probablity on is non-measurable.
>>8187200
But how can be 50% chance to answer randomly right if there are 4 answers, and only b) is right?
1- There is 25% chance to answer randomly right a 4 question test
2- In this case there are 2 "correct" answers, so 50%
3- If 50% is correct, there is only 25% to answer this question right at random
4- Go to 1
>Talking with girl about foundations of mathematics
>She defends set theory and ZFC as a foundation
>She actually believes law of excluded middle is essential to mathematics. Apparently unaware of work of Bishop on analysis etc.
>Still believing in Formalism 2016.
What are the best absurd results of classic mathematics that you can use to red-pill these plebs with?
What a dumb cunt lol. Girls suck at math.
>>8187102
>absurd results
How about "distance does not exist because real numbers aren't real". Oh wait, that's an absurd result of Wildburgerism.
>>8187102
Lol, mathematics is nothing but a physical construct. It only manfiests itself in writing, neural firings in our brain (thoughts), and so on.
You can define it in any way you want. What matters is what kind of definition will lead to the best results, and allow us to construct the most predictive theories possible for the real world.
What's your favourite sciencey thing about the ocean?
There are more drops of water in the ocean than atoms in the universe
>>8186964
How much is a drop?
>>8186966
You can get them pretty cheap on ebay
![800px-Nrol-39[1].jpg](https://i.imgur.com/vugIKVg.jpg "800px-Nrol-39[1].jpg")
Why so many people got assblasted because of pic related?
op i can't answer your question but chaalk me up for being assblasted
>>8186376
I dunno.
There are much weirder and spookyer patches.
I'm going to be interviewed by a flight academy in 10 hours, tell me random facts about planes and why they fly.
they have wings and spinny things and nice ladies who make you tea whenever you want
>>8185808
they go really fast
They're basically giant paper airplanes that create their own wind.
The whole worlds fucking backwards and it's terrifying. I just want everywhere to unite and do more science shit, facing real issues.
urgh u scientists are nothing but dumb idiots
>no art
>no justice
>no equality
gibs me dat money you fucking bigot, stop using it for your racist, deadly "research", and stop contaminating my food supply with GMOs
>>8185694
That genuinely sounds boring.
Real issues aren't strictly science-related.
>edge the edgehog
No. Kill niggers.
What does K^Aut(K/F) mean?
>>8185682
Aut is for autistic
K/F is for Kentucky Fried
>>8185719
What is this? /pol/..?
That's Aut for gold/time, K for Potassium and F for Fluorine. Galois was a master alchemist back in the day.
>>8185682
Aut(K) is the autism group of the field K.
let V be a finite dimensional C-vector space and denote by Sym(d,V) the d-fold symmetric tensors, ie Sym(d,V) is the dth-symmetric power of V.
This is in a natural way a GL(V) representation.
How do I show that it's irreducible?
>>8185669
if the matrix A has distinct EigValues x1,...,xn and v1,...,vn is a basis of V consisting of EigVectors of A, the the induced endomorphism on Sym(d,V) has EigVectors and values
[math]x_{i_1}, \hdots ,x_{i_d}[/math]
[math]v_{i_1}, \hdots,v_{i_d}[/math]
for all sequences
[math]i_1 \leq \hdots \leq i_d[/math]
>>8185731
and if W is a subrepresentation of Sym(d,V), then it must be spanned by a subset of these eigenvectors.
>>8185731
of course eigenvals are
[math]x_{i_1} \cdot ... \cdot x_{i_d}[/math]
eigenvectors
[math]v_{i_1} \cdot ... \cdot v_{i_d}[/math]
for all sequences
[math]i_1 \leq ... \leq i_d[/math]
Do any of you /sci/ mathematicians find pleasure in reading poetry?
only if it's depressive and nihilistic as fuck
if it's some love shitty bullshit i get bored very easily
>>8185524
I'm the exact opposite
>>8185514
yes of any kind. be it sexual, be it about love, be it about hate, or whatever.
What is /sci/ opinion on physicists again?
Engineers without the perverted sexual deviancy
GOAT tier, together with mathemagicians on the top of the pyramid.
>>8185491
It is the shitstain between engineering and mathematics. Neither is it aplied enough to make real world applications as in engineering, nor is it pure enough to reach the rigor as in mathematics. Hence physics is a fail.
How can I predict human nature (actions, thoughts, feelings, etc.) using mathematics?
I can, for example, calculate their average speed while they're running or even their instantaneous speed. However, I'm struggling to calculate their next move or what decision they've made at a particular instant in space and time.
Equations for their actions:
v=s/t , if human is running.
...
Equations for their thoughts and emotions at a particular instant in time:
...
Equations for what decisions they're going to make at a particular instant:
...
Etc.
Please,...
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graphs are used to model all kinds of things.
humans are a really complex to graph though. I doubt you'll make a complete one.
>>8185444
So it's an impossible project that I should not bother pursuing?
I predict with a 99.6% that you have autism
0.4% that you are just a clever shitposter
Is time a concept humans created?
>>8185376
No.
no, but the way we measure time is a human concept
>>8185376
Time as you experience it, yes. Time as itself, no. If you ask if your perception of time is somewhat false, then the answer is again yes.
And by the way, every concept is human created. Things themselves, if any, are not.
>tl;dr I would like you to suggest, if possible, the best textbooks to learn Math from the very beginning. I will initially be learning alone, without teachers, so keep that in mind. In the future, however, I pretend to start taking seminal classes too.
First of all, I apologize for my bad English.
I was always terrible at Math in school. Not only I was not endowed with a natural gift for the subject, but also (and this is the most important thing, I suspect; the “natural gift” is mostly overrated, I guess) I did not had the will...
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>>8185331
However I realize now that, even though I will never do anything valuable in any field of science, still I find physics, chemistry and biology extremely interesting, and I would love to develop a more profound knowledge of these areas. The problem is: without knowledge of math, I know that my study of physics will be fruitless (I will only learn the verbal part of it, the things you can find in popular-science books). With that in mind, I decided to start learning mathematics again, first by myself.
I will...
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Basic Mathematics by Strang
Calculus by Spivak
Linear Algebra done Right by Strang
Advanced Calculus by Loomis and Sternberg
Principles of Real Analysis by Rudin
Algebra by Artin
do all the problems
there now you are ready to start your pure maths master program in a specific area of study
>>8185361
thank you very much
Could anyone explain to me why the fuck it looks like there's white dots around Jupiter?
Moons
wtf are you doing in this board if you cant indentify a fuckin moon? THE NAMES ARE EVEN WRITTEN
