>taking algebraic topology
>doing exercises in hatcher
>look up something online because hatcher can't into definitions
>find someone named Tarun Chitra's solutions
>almost every one of them is wrong in some way or the other
>some don't even address the particular problem stated
>neatly typed up though and with pictures
>answers to roughly half of the problems in hatcher
Why do people post their shitty solutions on the internet? Especially if they suck so bad.
>>7689055
Sabotage. I regularly circulate bad study guides to give me a leg up.
>>7689059
I wouldn't be surprised. I recall a few years back taking an advanced undergrad algebra class our professor used to assign all these problems from D&F. Half the class would just copy the answers from project crazy project and he'd always get mad when everyone wrote the same mistake ridden proofs as on that website.
>>7689059
That's projectcrazyproject for sure. I know and have graded for profs that assign exercises where they know that the posted solution is false just to catch lazy undergrads.
After a while I am convinced that Dummit wrote all the solutions on that sight just to fuck with his students.
Considering i can't improve myself that much when it comes to getting better than others with a effin huge potential, i have an idea in mind :
By which means can i achieve my ultimate level of focus ?
Like, how do i train to concentrate really hard in a short amount of time (1 to 10 minute at max) ?
Meditation or stimulants
>>7688910
the problem with stimulants is health right ?
you concentrate for a while and then you're a little more all around the place, hum ?
drugs
>>7688940
caffeine and nicotine are harmless, but highly effective when used together.
remember to also take l-theanine to slow the ridiculous caffeine tolerance buildup.
What are some real ways to improve our brains?Ive read that repetition is bad so if i read about different subjects and play diffrent games will that improve my brain?
>>7688810
Don't play games. Games are bad for your brain and more importantly are a waste of time.
>>7688814
>are bad for your brain
Expand
>>7688823
Your brain is an adaptive organ that tries to learn and understand whatever it is exposed to. If you just expose it to games, it will waste energy learning games, and even after you're done playing your brain will think about the game. So it's not bad in that it makes your brain shrink into a walnut or go insane, it just wastes brain power.
Markov chains
What else?
>>7688732
>Because Gravity is useless
>>7688732
Topology
Infinite series is surprisingly useless. Maclaurin series in not needed in a world with calculators
Anything after calculus.
If you flip a coin 3 times and it lands on tails each time, is the chance of getting tails again 50% or 6.25%?
>>7688709
50%
>>7688709
It's a 50/50 chance, so you average 50 and 6.25 to get 28.125.
>>7688709
What if the previous owner of the coin flipped it tails 100 times in a row? Would you expect the chances of flipping it tails again would be incredibly low? Of course not, which is why starting the probability count when you flipped it 3 times ago is ridiculous. It's always heads or tails is always 1/1
What would you change about us humans in order to create a better society, to benefit our species, to overcome our weakness, to help us evolve.
To make us look at ourselves as a single entity, allow us to explore the cosmos, to reach a new frontier for the human race.
>>7688700
no environmental allergies
Every single penis would be of exactly the same size. Imagine all the wars and fights we could avoid.
>>7688700
I would make humans a foot tall so that we can support a larger population. They would also have a mean IQ a standard deviation higher than what we have currently. Everyone would be dark with brown eyes because white skin and light eyes is linked to macular degeneration, and skin cancer. People would have that rare allele that means you only need to sleep 4 hours.
What program/method is the best way to making logic circuits? I don't know what to use.
>>7688598
In uni we used quartus
http://dl.altera.com/?edition=lite
>>7688608
is there any other way? I don't really want to download that large of a program for this, we'd only be on logic circuits for the next few days
>>7688598
I'd highly recommend JFLAP.
The software website looks like it's straight out of the 90s but the program itself is fantastic.
If it asks you to fill out a form, just leave everything blank and hit submit and it'll work without you having to give it any information.
>be me
>timetraveler
>travel trough time
>only time, not space
>end up in space because earth has moved like it always does.
>mfw no spacesuit
spacetime does not work that way! goodnight!
>>7688605
>spacetime does not work that way! goodnight!
then please tell me how it works mister goodnight
>>7688596
>travel through time to stop a tragic event
>succeed
>never travel through time because I stopped the reason I went back from ever happening
What does /sci/ think of Louis Pasteur's theory about microscopic beings invisible to the naked eye living among us?
That's stupid. Everyone knows that it's bad air that causes diseases and that they're cured by getting rid of bad blood. Now don your aromatic mask and go put leeches on people.
>>7688382
> microscopic beings
HAHAHA
The only living thing that approaches being microscopic is your penis OP
You mean like tardigrades?
Theoretically speaking, If you throw a ball into a wall infinite times, there is a chance that the ball will phase through the wall because the atoms of the ball might avoid the atoms of the wall completely.
So how would you increase this chance ?
>>7688345
Throw the all at the wall 2Xinfinity times.
There are different kinds of infinity you stupid bag of shit. Define which one you're talking about.
>>7688363
numerical one
Why aren't you innovating yet?
Why are none of those gears properly aligned to any of the other gears? Why are there three gears right in the focus in pretend-alignment that are looped such that they are impossible to spin?
>>7688370
It's not a flaw it's an innovation.
>>7688370
>look at me I'm such an asspie autist, I'm special
I have been chewing on this idea that planetary material is distributed through the mantle in a toroidal density pattern. The convection patterns would follow this as well.
Could explain why most of our terrestrial planets have a large ring or plateau at one pole of their spin axis.
Written a bunch of stuff explaining it further, too. Poke holes in this idea please.
Are there aliens inside the torus?
>>7688329
No, just hot dirt and nickel
>>7688333
Indeed. I wish I knew anything about Geology or Geophysics so I could be a suitable interlocutor at this juncture. Unfortunately, I am yet another useless partisan in the dialectic through which recedes the common denominator of this board's post quality.
does it concern anyone that there is huge island of plastic, and trash in the pacific ocean? i have. i have only found one guy doing something about it. i was wondering if there was a way to help.
>>7688300
I think about it. It doesn't really bother me since I'm very lazy and it doesn't seem to be affecting me directly. I'm definitely aware that we're destroying the environment though, so I'm not in denial.
>>7688300
>i was wondering if there was a way to help.
No, there's no way.
Just give up and accept it.
I feel like there is a way. there is this one guy making clothes with the used plastics. i wonder if it can be turned in to fuel..
I'm in the process of teaching myself undergraduate level mathematics.
I've done basic algebra, calculus and real analysis and next I'm looking to learn Number Theory, Group Theory and more advanced Differential Equations.
Is there a logical order to learn these in, or does it not really matter?
I've heard number theory builds on group theory, but does it do so enough that I need to know group theory before I can learn number theory?
>>7688245
why?
Math higher than basic arithmetic is a huge waste of time to learn unless you plan on actually using it for something other than doing taxes.
>>7688367
as a passion project because I'm interested
>>7688245
>high school level knowledge tattoo
what kind of STEM work is best suited for someone like me?
>somewhat average aptitude in math and science
>dont hate any stem discipline, but unless it pertains to my goals or is directly important to me its hard maintaining interest for long periods of time
>i enjoy building and designing things
>not afraid of taking risks
>>7688232
business
I hate these threads so much.
>>7688236
But that's not stem