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I don't get something
Let's say a photon is moving in a vacuum. Everyone agrees that it's supposedly massless. But doesn't it have kinetic energy which is according to Einstein also mass? Also I know there is Plank equation on how to calculate energy of a photon, but
E = mc^2
E(k) = 1/2mv^2
mc^2 = 1/2mv^2, since it's moving at speed of light =>
mc^2 = 1/2mc^2
mc^2 = 0, since c is constant =>
m = 0
E = 0
both mass and Energy are equal to 0.
What's happening here?
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>>8758044
You got memed son
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>>8758044
E = mc^2 does only hold for non-moving objects, the photon has energy through its momentum
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>>8758044
Physicists realized that too, so they invented the concept of "rest mass." A photon doesn't have rest mass.
Does it make sense to learn Logic? Or is it entirely unrelated to Mathematics?
Should somebody learn Logic if they want to learn Mathematics?
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>>8757881
(Almost) all proofs are based on logic, so yes, you need logic if you want to do mathematics
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>>8757881
In Cs Logic is very important
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>>8757881
Yes
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Say you wanted to make a 5-sided die out of an equilateral triangular pyramid, where the probability of each face showing up is 1/5.
What ratio H/b would this occur for?
Obviously for H >> b you would have no chance of the die landing with a triangle face up. And if b > > H it would be flat like a coin. So there must be some ideal ratio of H/b do guarantee equal chance of all faces showing up.
I doubt there's an analytical solution to this - so is there any easy way to simulate this with a computer?
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>>8757851
-original
-math-related
-not troll bullshit
-directly relates geometry and probability
This is the best post I've seen on /sci/ in a couple months OP, just so you know.
Conjecture: the rectangular faces and the triangular faces must have roughly equal area.
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>>8757851
great question. first you'd have to parameterize the probability of each side, which would likely involve the area as well as the "stability" given by how top-heavy the die is when resting on that size.
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>>8757851
Inscribe the shape in a sphere. Project the edges of the shape into the surface of the sphere such that they are in the directions at which the weight of the shape is balanced. Set the areas of the parts of the surface demarcated by the projected edges equal. The resulting shape is your die.
tried red bull to boost my en. levels &my cognition functions
i failed miserably
today i tried L carnitine. i feel nothing special anything else u have in mind i can get en.boost from? i have a presentation to do and i have no energy (depression wise)
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pure coffee?
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>>8757803
O thou buffon amphibean poster.
You forgot the post-redbull effects that will harm you.
Enjoy that temporal brainletism that you had since you were born but worse.
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>>8757816
24hrs passed noob, i dont think any red bull stayed in me
Anonymous
Is the current education system in America shit? 2017-03-18 09:10:29 Post No.8757779
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Is the current education system in America shit? 2017-03-18 09:10:29 Post No.8757779
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Is the current education system in America shit?
Anonymous
2017-03-18 09:10:29
Post No. 8757779
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Is it shit? For example I remember when I was at school I acted like a brainlet, I had no interest in books at all or Math.
Then came Summer, when I was at Summer I actually started reading fantasy books I remember it was some faggotry book about a female cop in an the 19th century with diseases and shiet. I also got interested in the stars and bought a telescope to study the moon and draw pictures of it. I also got interested in math and started doing some math about the horizon? I forgot what math I was doing about it, maybe the distance?
Then school came, and I instantly became a brainlet. I lost all my interest of the reading fantasy books, studying the moon, and doing the math to measure the distance of the horizon. So is the American Education System to blame?
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>>8757779
yes.
American Education System failed me too , and i am white male.
They did not properly teach social skills, what real life is really like, how people really act.
lots of things have to be figured out yourself. also they brought in police to spread drug propaganda which can be verified as lies , and they lied about the army draft thing at age 18.
Dumb stupid American Education System
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and pledge allegiance to flag, what le fug is that?
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>>8757946
>implying teachers are going to teach you how to pick up chicks
Aren't you supposed to learn that yourself? No wonder you're both depressed and lonely.
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I'm gonna memorize my way to medical school. Will everything be alright in the end?
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>>8757584
>Mom look! I read the recent threads on how medicine is just memorization!
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>>8757590
>Mom watch! I'm going to try posting bait!
should have made a thread about ct scanners.
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>>8757584
Yep. Absolutely no base logical framework or capacity to reason is needed. You can just be an index and do just fine.
Most physicians are braindead trash anyway, sarcasm aside. You'd fit right in.
Anonymous
Reaching near-c speeds 2017-03-18 05:12:27 Post No.8757388
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Reaching near-c speeds 2017-03-18 05:12:27 Post No.8757388
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Current year:
>launching rockets from earth's surface
>combustion-based engine
>high fuel consumption
>can't carry personnel
>low storage space
>one-time use (inb4 space x)
What's stopping us from moving the entire process outside the atmosphere?
>send parts to space station
>assemble large spaceship in space
>implement a nuclear reactor in it
>guaranteed years of unlimited power supply
>use nuclear power to accelerate
>navigate at any speed you want
>accelerate to reach near-c speeds
>explore wherever you want
What are the pros and cons of this? submarines use nuclear power, why can't spaceships do the same?
If it's an issue of heat management, can't the nuclear reactor be placed in an area of the ship with thinner cover, so that the heat could disperse outside where the temp is absolute zero?
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Oh wait fug, I guess nuclear power alone can't generate propulsion? I totally forgot about that.
Still, why not launch rockets directly from outside the atmosphere? wouldn't it be more efficient?
I mean, you can attach a fuel storage of any size you want, I've just read on wiki about projects for nuclear propulsion in space and there're quite a bit of ideas:
https://en.wikipedia.org/wiki/Nuclear_propulsion#Spacecraft
The common issue seems to be the fuel, why not make the spacecraft bigger so it can carry more of it?
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Firstly what's stopping us is an elite ruling class that are so greedy they simply do not care about the progress of the species but simply collecting as much money and power as possible although their families could easily live off their fortunes for the next couple thousand years with zero work whatsoever.
I wanted to do some googling and found this discussion very interesting, I don't want to just copy past other's ideas so I'll share this link
https://www.thenakedscientists.com/forum/index.php?topic=45631.0
Certainly a bunch of hurdles to overcome but hey, I want to see the future as soon as possible.
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>>8757388
>>8757424
https://www.youtube.com/watch?v=s6BQSgidbmc
Watch this video and every other video this guy made. Great stuff, it was a real eye opener for me.
Anonymous
Why don't gums regrow? 2017-03-18 05:11:12 Post No.8757387
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Why don't gums regrow? 2017-03-18 05:11:12 Post No.8757387
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I get that gingiva is keratinised issue, but how come it doesn't regrow? Could it be replaced using stem cell technology?
Seems pretty stupid to be a species that can't even regrow their gums.
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At first glance I was hoping this would be a penis, I am very disappointed.
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>>8757429
...Why would it be a penis on a blue board?
Sorry for not showing you the anatomy of alien penises ;_;
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>>8757387
what do you think about gengigel ?
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How do you stay focused for long periods of time without thinking about sex? I find what I'm studying to be very interesting but my mind constantly drifts off and it's fucking annoying
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Try not being young.
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>>8757202
I just fap until I never want to even see another female for the rest of my life.
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Have a lot of sex then. And study so you can have some money to ... live happy and have sex.
Sex it what drives the world. Money is just their to live good and again, give in to the need of your body to have sex and fun.
Anonymous
Why are quantum physicists so fucking brainlet ? 2017-03-18 02:27:39 Post No.8756968
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Why are quantum physicists so fucking brainlet ? 2017-03-18 02:27:39 Post No.8756968
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Why are quantum physicists so fucking brainlet ?
Anonymous
2017-03-18 02:27:39
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It is extremely hard to find one damn one clear book about quantum physic. In almost every book, physicists try to present very fundamental Hilbert spaces definitions and theorems (dude weed if [A,B] = 0 then AB = BA lmao ! ), maybe to convince themselves they are not doing absolute bullshits, but they do not define properly their own operators. The most annoying thing is their absolute shit tier notations.
There are ten operators in quantum physics, ONLY TEN ! And finding a book which expose them clearly is extremely rare.
It's unbeliveable to see how unclear are the fundamental concepts of Hilbert spaces, projections, convex functions for quantum physicists, they really do not get what they are doing.
I'm not criticizing physicists ( I'm not a mathautist), only quantum physicists. Those who work in mechanics, thermodynamics, electromagnetism, fluid mechanics, statistic physics and RG understand what they are doing, but not quantum physicists.
It's really like they are enjoying their blurred concepts, without any kind of clear definitions.
Quantum physic is not hard. Understand it is basically understand any little class about basic algebra/analysis in Hilbert spaces. But quantum physicists are so ignorant they try to bullshit as much as they can their field so it could look like very complicated.
Death to those parasites.
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every scientific/engineering field does this
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>>8756968
Intro Quantum Mechanics books are written for undergrads or beginning grads in physics. To do QM rigorously you need Functional Analysis and Measure Theory. Physics students don't learn these, at least not before they take courses in QM.
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>>8756968
>There are only ten operators in QM
What the fuck are you on about you undergrad retard?
can your IQ actually increase? why do I feel so much more intelligent than 5 years ago? I'm 27 now
this is not a shit post thread. Im actually serious
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No, it can only decrease.
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>>8756894
What? Who designed this stupid world?
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>>8756890
I know the feel. By some measures, the brain doesn't stop developing until age 25. It stands to reason that it may continue to develop a little bit past that age for some.
Anonymous
Polynomials and the exponential 2017-03-18 01:17:32 Post No.8756765
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Polynomials and the exponential 2017-03-18 01:17:32 Post No.8756765
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Polynomials and the exponential
Anonymous
2017-03-18 01:17:32
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What can we say about the polynomial:
[math]\displaystyle p_m(z) = \sum_{k=0}^m a_kz^k [/math], where [math]p_m(i) = 2^i, \ i = 0, 1, \dots, m [/math]
What do the coefficients look like? (other than that [math]a_0 = 1 [/math])
Here are the first few:
[math]p_0(z) = 1[/math]
[math]p_1(z) = 1 + z [/math]
[math]p_2(z) = 1 + \frac{1}{2}z + \frac{1}{2}z^2 [/math]
[math]p_3(z)= 1 + \frac{5}{6}z + \frac{1}{6}z^3 [/math]
[math]p_4(z) = 1 + \frac{7}{12}z + \frac{11}{24}z^2 - \frac{1}{12}z^3 + \frac{1}{24}z^4 [/math]
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conjecturally a_m=1/m!
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>>8756790
good observation anon, though I'm not sure how to prove this, as it is difficult to see the connection between [math]p_m(z)[/math] and [math]p_{m+1}(z) [/math], if we could find that an induction would be easy.
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>>8756840
p_m-p_{m-1}
=(1/m!)(z)(z-1)...(z-[m-1])
Why doesn't sci band together to solve a Millennium Prize Problem? We can split up the million dollars and all be rich
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>>8756744
why don't all the ants int he world build empire state building?
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>>8756744
Bully
;b
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>>8756756
Cause maybe they're too intelligent to spend their short lifecycle building an unnecessarily large structure?
They do make greater structures than we relative to body size, and faster/more efficiently
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One professor in my Uni doesn't believe in Black Holes. Why should I?
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I don't know.
That's a very neat gif tho, thanks.
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>>8756556
Look at me, now look at your ass, now back to me, what colour is that hole? A black colour, now look at it again now back to me, now back to me, how would you describe a hole that is black? Is your answer black hole? Good now look at your ass, now back to me, now back to your ass, do you believe in black holes now? Good. My work here is done. I will be in my lab now....
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You shouldn't. Being a physical realist is stupid.
The fact that mass is a useful notion for humans to talk and calculate shit about the world around is doesn't mean mass "exists".
Fundamentally you have theories for smaller and smaller things, and some good approaches involve some field theories governed by some relatively simple dynamics equations with a few parameters and all the abstractions like mass are just summed up quantities, order parameters that have no bearing beyond the linguistic one. Same for black holes.
Anonymous
Prove you aren't a brainlet in math 2017-03-18 12:01:49 Post No.8756527
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Prove you aren't a brainlet in math 2017-03-18 12:01:49 Post No.8756527
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Prove you aren't a brainlet in math
Anonymous
2017-03-18 12:01:49
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>Making an A in Functional Analysis doesn't mean you aren't a brainlet.
>Working out of Artin doesn't mean you aren't a brainlet
>Studying from Mac Lane doesn't mean you aren't a brainlet
/sci/ prove you aren't a math brainlet besides your course grades and textbook problems
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i solved 2 millenium prize problems
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>>8756527
I scored 143 on an online IQ test.
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>>8756527
try me