Is it possible to get good at math if you start later in life?
>be me
>didn't do well in high school math classes and frankly didn't like them, still get A's because Florida education system
>in college algebra
>I love it so much
>I can literally feel endorphins/dopamine flooding in my brain when I do my coursework
>last night I spent 9 hours just working out problems for fun
>it was only 28 problems in a community college algebra course
>realize I'm really slow and it takes me 2 tries almost every time to get a problem correct
it's possible, but much harder. the younger you are the more fit your brain is for learning. when it gets older it starts focusing on retaining current knowledge rather than gain new knowledge
>>8906202
I just feel like I'm looking at it all with new eyes. My brain feels different and ready now. Is this normal?
>>8906262
yes. how old are you?
Is there a way back to society if you have looked to far into the void of mathematics?
>>8906004
>to far
*too
>>8906004
listen to your dick for once. Get a girlfriend, she will hook you up again
>>8906011
>girlfriend
kys retard
How is fish oil good for your brain when it has mercury in it? Does the benefit of the fish oil overpower the negatives of the mercury?
How is salt good for you when it has chlorine in it? Does the benefit of the salt overpower the negatives of the chlorine?
>>8905873
>fish oil good for your brain
Who says that, you?
>>8905915
people selling fish oil
is just following Harvard 55's curriculum the superior route for undergraduate mathematics as an autodidact?
Please post the complete curriculum
>>8905860
>take home exam
Is this a joke?
I honestly cant believe that such a thing exists.
In all my classes homework is only needed to be accepted to take the exam and the note you get at the end is 100% a 1.5-2 hour exam. (occasionally they are oral exams)
You are basically gifted 50%-70% for free because only an idiot would not do the homework and getting 100% on the final is a given.
How can such a well known university have lower standards then my shitty local university?
>>8905893
>has never done an actual take home exam for a higher level mathematics course
dude stop, it's not linear algebra. some proofs are designed to take over the course of a day (if not longer) in the span of a group discourse and it's not the type of thing you'll just find on math stackexchange
i think i made a correlation between the riemann hypothesis, and entropy.
every system, when localized, can display a decrease in entropy, such as when a chemical reaction occurs and there is an increase in order/complexity to a compound due to recieving both energy and atoms.
The energy and atoms however come from other local systems whose entropy actually increased. the net result is an increase in entropy.
the perspective here is like a convergence to a point when you reflect the the convexity of a circle. now this is where i make my connection to the riemann hypothesis, but it's a bit hazy because it was due to an anon posting here.
the hypothesis is drawing a boundary for what i believe is this switch from local to global systems. am i out of my mind here? or can someone here extrapolate some semblance of relation based on this blur of buzzwords? i feel like i had a connection but im too stupid to really make it work. im sorry.
The zeta function models everything, see e.g. https://en.wikipedia.org/wiki/Zeta_function_universality
>physicist tries to do real math the thread
>>8905805
>i think i made a correlation
you didn't
Lrn2correlation
What major do you associate most with the word Scientist?
geneticists/microbiologists/chemists
Anyone who spends long hours in a lab with test tubes.
>>8905785
Cuckoldry porn enthusiast
>>8905785
why does he need safety goggles to watch food coloring under a shitty microscope and why does he put his keyboard on his lab bench filled with liquid chemicals ?
what the fuck is mathematics? semantic architecture? is it an application of just raw instinct to quantify notions or ideas and give them structure so that they can be consistent? where does consistency come from then, and why is it desired? where does mathematics stop being consistent? is there a limiting case or boundary where we stop having stable models for things like finding solutions to differential equations? is it always connected to the fundamental axioms or can they be surgically removed to be with something more supporting to ideas that aren't reliant on completion, consistency, structure, or quantity?
completion, consistency, structure, or quantity; where do all these properties intersect? can it be given a fundamental description?
mathematics is purity. its about what the world should be. a sphere is what we see when we look at a boulder or ball because we desire purity. the concept of smoothness, continuity, and diffusion all break down when we talk about reality because there is a discrete structure called atoms that make up our visible world. mathematics is archaic when encountering these models and is now self destructing due to the smoothness needed by relativity and the discreteness needed by quantum mechanics due to eigenvalues replacing degrees of freedom for elementary particles.
something newer will come that will treat mathematics like how mathematics treats philosophy; an idea that helps guide it but is too weak to bolster it against the relentless reality.
>>8905675
>what the fuck is mathematics?
Mathematics is logic of the highest level. It is when you turn off your human brain and wake up your inner eternal all powerful god and close your eyes to see a world much bigger than anything you will ever be, take some bits from it, and bring it to life.
Do you know what philosophers do? Well, imagine a philosopher but instead suppose he is actually intelligent. That is a mathematician.
>semantic architecture?
This is part of mathematics, though this is usually just contained in algebra.
>just raw instinct to quantify notions or ideas and give them structure so that they can be consistent?
In mathematics in general you cannot make things consistent because you are given consistent theories to begin with. But in meta-mathematics, where you look to create a theory in which mathematics can exist, the entire goal is to make it consistent so again, this is true about only a subfield of mathematics.
>where does consistency come from
Any mathematical logic book will define consistency. Consistency comes from that definition and that definition came from our desire to not have to worry too much because...
>why is it desired?
Because there is this thing called logical explosion that basically says that if you have an inconsistent theory, then everything is true and everything is false at the same time. Making any knowledge you extract from that theory literally meaningless. Therefore, only consistency can yield proper results.
>where does mathematics stop being consistent?
If you mean this literally then whenever we invent an inconsistent theory. If you mean this figuratively, when we poke at the outermost edge of mathematics, the fundamental axioms. Nobody really agrees on what the fundamental axioms should be, some mathematicians use some axioms, other mathematicians reject those same axioms. That's pretty inconsistent.
>>8905675
>is there a limiting case or boundary where we stop having stable models for things like finding solutions to differential equations?
Yeah, pretty trivial. As you know, there is no general formula to solve most differential equations. You can only reach general theorems when there is enough structure and with differential equations it is pretty easy to find something that has no structure at all and has to be tackled on its own.
>is it always connected to the fundamental axioms or can they be surgically removed to be with something more supporting to ideas that aren't reliant on completion, consistency, structure, or quantity?
Define completion.
And for the rest, yes it is.
The higher you go up in math, does it get more difficult to understand? Or does it just require more background knowledge
i.e. is the leap from X to Y way way way way harder than the old leap from E to F? Or the same and it's only "hard" because you had to go through A to W to even try X whereas to try E you only had to do A through D?
>>8905605
Things become more difficult in that you need to actively "work" or "hold" more concepts in your head.
>maths
>hard to understand
Its only difficult if you arnt trying. Wikipedia and some other sites have literally all youd ever need to know to understand most of the shit.
The only actually difficult parts of math are the theoretical ground breaking parts describing things we dont even know exist. But thats all done by actual smart people. I.e. no one who would ever come to this board
>>8905649
t. Engineering undergrad student
https://www.nasaspaceflight.com/2017/05/nasa-em-1-uncrewed-costs-main-reason/
>NASA has officially announced that they will not place a crew onboard the first SLS flight, the EM-1 mission
>“after evaluating cost, risk, and technical factors in a project of this magnitude, it is difficult to accommodate changes needed for a crewed EM-1 mission at this time.”
>the decision to stay the course with EM-1 avoids any conflict with the Astronaut Office and NASA’s various safety and advisory councils – all of which, from the conception of SLS, have been against placing a crew on the first flight
top kek
Musk threw down the gauntlet with his Luna tourism announcement, now instead of calling his bluff NASA is instead playing it safe.
Humans will probably not return to the moon during Trump's presidency at this rate.
This was a retarded idea that was never going to happen to begin with.
btw is international space station useful still?
You could save a fuckton of money annually by letting it die already
>>8905704
>btw is international space station useful still?
Why aren't you pursuing Remote Sensing yet, anon?
>>8905451
I actually am
>>8905451
so uhh.... you know that remote sensing is in a rather precarious state now funding wise right?
>>8905451
http://spectrum.ieee.org/energy/environment/twilight-for-the-golden-age-of-earth-observation
0.5mm or 0.7mm?
0.5mm without a doubt but use pen you pleb
>>8905095
>pen
kys
0.5 so long as you don't write like a downy
Is Fire a gas or a liquid?
>>8904399
When you burn wood, it vaporizes from the surface. The vaporized wood particles then react with oxygen, forming CO2 and steam. So it is gas.
>>8904399
>are you ready for the worst day ever on the stock market, /biz/?
>>8904399
plazma
What's your favorite function?
Mine is the Gamma function.
1 -> 2
[math] f(x) [\math] is my favorite function.
>>8904324
Functions are lame.
How can we break out of this simulation and reach the higher plane of existence?
>>8904323
Can a simulated atom break out of a computer?
Blow your brains out = Thinking outside the box
>>8904323
Once enough people know that the Universe is just a simulation, whoever is running the experiment will have to stop it because he won't be able to get any more useful information from it. So the only way is to convince a majority of intelligent beings in the Universe to accept the doctrine that the Universe is just a simulation.
Post nice limits.
e
These are my favourites
[eqn]\lim_{n\rightarrow \infty} 0 = 0[/eqn]
[eqn]\lim_{n\rightarrow \infty} m= m[/eqn]
[eqn]\lim_{n\rightarrow \infty} \pi = \pi[/eqn]
[eqn]\lim_{n\rightarrow \infty} e = e [/eqn]
[math]\int x^{-1}{\mathrm d}x = \log(x)[/math]
and for non-zero z
[math]\int x^{z-1}{\mathrm d}x=\dfrac{x^{z}}{z}[/math]
and so
[math]\lim_{z\to 0}\left(\int x^{-1}x^{z}{\mathrm d}x\right)[/math]
isn't the logarithm - it actually doesn't even exist.
But We have
[math]x^z = {\mathrm e}^{z\,\ln(x)} = 1 + z\,\ln(x) + {\mathcal O}(z^2)[/math]
which we can write as
[math]\dfrac{x^z - 1}{z} = \ln(x) + {\mathcal O}(z^2)[/math]
which we can write as
[math]\int x^{-1+z}{\mathrm d}x - \dfrac{1}{z} = \int x^{-1} {\mathrm d}x + {\mathcal O}(z^2)[/math]
or
[math]\lim_{z\to 0}\left(\int x^{-1}x^{z}{\mathrm d}x - \dfrac{1}{z}\right) = \int x^{-1}x^0 {\mathrm d}x = \ln(x)[/math]
I.e. the difference in switching limit exactly makes for a simple counterterm.
Similarly
[math]\lim_{z\to 0} \left( \sum_{n=1}^\infty n^1 (1+z)^n - (-1)^{1+1} \dfrac{1!}{\log(1+z)^{1+1}} \right) = -\dfrac{1}{1+1} \dfrac{1}{6}[/math]
[math]\lim_{z\to 0} \left( \sum_{n=1}^\infty n^3 (1+z)^n - (-1)^{3+1} \dfrac{m!}{\log(1+z)^{3+1}} \right) = -\dfrac{1}{3+1} \dfrac{1}{-30}[/math]
and so on...