Did you know that Springer means "knight", the chess piece, in German?
Why is Knight abbreviated N when it starts with a K?
Except we in Germany call it "Pferd" and not "Springer".
>>7910079
Because K for King I guess.
What's the difference between vectors and quarternions?
>>7910007
vectors are 3 dimensional, quaternions 3 but with 4 paramaters. Pretty simply actually if we represent a 3d vector as a rotation on x,y,z we get an euler orientation which basically sucks because you can get gimbal lock. Now make a 3d vector to point from a zero point to anywhere to describe an axis and use another variable for the amount to rotate around that axis.
>>7910007
Pretty great video by Numberphile:
https://www.youtube.com/watch?v=3BR8tK-LuB0
>>7910007
Vectors are a tuple of numbers, often used to represent position in an x/y/z kind of way; quaternions are an extension of complex numbers to represent rotations in three dimensions; they have four parameters and map to an axis/angle formulation of rotation. Two quaternion rotations can be combined simply by multiplying them together.
We all known that practice creates skill.
But isn't skill what *allows* practice?
Most people aren't able to long routines of practice simply because they don't get any better and its frustrating.
Talented people get a lot of progress in training so that it becomes exciting.
I think this applies to everything, including studies.
Suggesting people to study hard despite lack of progress is kind of ruining their life.
>>7909950
>Most people aren't able to long routines of practice simply because they don't get any better and its frustrating.
that isn't practice. practice involves self criticism and analysis of what went wrong and how to do it better. not just beating your face against something for some arbitrary amount of time.
>>7909950
>bawwww, studying is hard and I can never get better so why even try
How about you actually try different methods of studying? Do you honestly believe that people can only improve at what they were naturally talented at in the first place? People get better at things by staying determined even when their limitations come into play. Suck it up and stop pitying yourself just because life is hard.
>>7909950
it kind of goes both ways
practice definitely makes you better at a skill, but getting better gives you motivation to practice.
I play guitar and was terrible at it for a long time. I never wanted to practice because I couldn't translate the music in my head to the guitar and my phrasing was poor & choppy. I kept practicing and tried to learn new ways to express my ideas (learned new scales, rhythm, not rigidly following said scales, keys) while playing to a metronome and my playing improved a lot. Now I enjoy playing my guitar because I'm not limited.
if you're hitting a dead end in practicing something, you need to approach the problem differently and figure out what's giving you trouble.
just want to let everyone know that i figured it out, it was actually very simple to prove that the number of squares that the boundary of a circle with radius r, centered on the center of one of the tiles passes over is exactly 8*r for all r.
>>7909759
What if the tile size changed
>>7909786
Axiom of choice.
In normal math the integer after 0 is 1, this can be proved by assuming that there exists some integer z between 0 and 1, then showing it leads to z^2 also being an integer, as well as z^3, z^4 .... but z^n < 1 so there must be an infinite number of integers between 0 and 1, or none at all.
Can you instead of taking the second option go with the first? or is there some other property that prevents that?
tl;dr - can there be an infinite number of integers between 0 and 1?
>>7909602
I understand your question but is it not just a matter of definitions?
What IS 1? We define it as the first natural number after 0. 2 is defined as the second one, and so forth and so forth. The integers are just an extension of the naturals to make them a group under addition.
The proof you mentioned in your post is nice but otherwise pretty useless since we are dealing with the definition of 1 here.
>>7909602
But... there aint no infinite number of integer between 0 and 1.
Those are real numbers.
I ondt understand
z^n < 1
What is n here? an integer, a real number or what?
Either way, it is an axiom that there is infinite amount of numbers between 0 and 1.
Check out the supremumaxiom
http://www.math.utk.edu/~freire/teaching/m300f12/supremum.pdf
It's quite an heavy axiom
>>7909614
amount of real numbers*
Just wanted to add that I am an engineer and that we don't go heavily into axioms.
>a negative times a negative equals a positive
What's the logic behind that?
Isn't multiplication supposed to be a glorified summation ?
>>7908964
>What's the logic behind that?
You rotate something backwards and then rotate that backwards, you get something right side up
>>7908964
I don't know, but it would pretty much break all of math to do anything differently. Math that we know corresponds to real world phenomena.
>>7908969
I ask because imaginary numbers seem like damage control to me.
look at it
>>7908487
I have a welder shield,is that good enough?
Right over the mariana trench? I will inform /x/
http://www.iflscience.com/environment/extremely-epic-volcanic-eruption-caused-mars-tip-over
could this kill all ancient life on Mars and make it barren instead of earthlike?
Mars is still too small to keep the core warm and the magnetosphere going.
>>7907938
>ifl
Nice b8.
>>7907946
source is unimportant. Ive found it on facebook feed. Im just pondering the idea
Why is bear fur so comfy and warm?
Also general why didn't white people and eskimos evolve with furs to survive cold climates thread.
natural selection doesnt evolve for "best possible", it evolves for "good enough does the job"
funny you should say comfy, my blanket is a polar bear
They didn't evolve with them, because, they weren't needed... We just steal the fur right from an animals back, so we don't have to waste energy having our bodies doing it, instead, we use that energy for our brains.
Related question:
Why do humans think bears are cute? It seems more natural to be afraid of them.
Is who wants to be a millionaire just a game of luck?
I mean, there's 33.34% chance of being right unless the person happens to know the right answer, and lifelines can only get you so far into the game.
Let's say there are 15 questions with 4 choices each. Let's also say there are 3 lifelines: call-a-friend, 50-50, and ask-the-audience.
For each of the 15 questions, there is only 1 correct answer, and 3 incorrect answers, so immediately your chances are 1/3 = 33.34%. You can use each lifeline once. Using phone-a-friend, let's say gives you a 95% chance the person you call is correct. So 1 question is 95%. Similarly, we can say ask-the-audience gives you a 95% chance. Finally, 50-50 will remove 2 wrong answers, so you have 1 right answer and 1 wrong answer, so you basically know the answer. To recap:
Question 1: 33.34%
Question 2: 33.34%
Question 3: 33.34%
Question 4: 95% <--- ask-the-audience
Question 5: 33.34%
Question 6: 33.34%
Question 7: 33.34%
Question 8: 33.34%
Question 9: 95% <--- phone-a-friend
Question 10: 33.34%
Question 11: 33.34%
Question 12: 33.34%
Question 13: 33.34%
Question 14: 33.34%
Question 15: 100% <--- 50-50
Total: 690.08%
Divided by 15 questions = 46.00%
So basically, it's more a less a game of chance, but more than half the people on the show will lose, so it's not very fair. That show is making tons of money off of people.
nigga how long did u spend typing this shit out
>four choices
>one correct choice
>33.34% chance of being right
wat
>be retarded
>discover /sci/
>prove to /sci/ that I am truly retarded
Congratulations.
According to Quantum Entanglement, 2 particles that are entangled remain in a super position even when they are at the opposite sides of the universe.
But once the particles are observed, information is relayed to each other instantaneously?
Was Einstein wrong about the Speed of Light?
how far can i push a 299792459 meter pole in .5 seconds
>>7905543
Not very far from its starting point
>>7905537
Can't transmit information or some shit like that
How much of humanity's scientific progress has been due to autism?
>>7907469
If we use my definition of autism:
>Autist (noun): A person who did not lose his virginity while in high school or before he reached legal maturity.
Which is 100% accurate, you would be surprised.
Then a lot of people. Our friend Isaac there was a super autist. He never lost that most precious of v-cards.
>>7907469
Most, if not all. It's a shame that autism will eventually be bred out of humanity, leading to the onset of the New Dark Ages and the collapse of civilization.
0%. Isaac Newton wasn't diagnosed with autism.
If mathematics is universal truth, does that mean if people don't understand it its wrong?
>>7904049
I actually think this for some reason.
If something is based on logic and arguments, but you can't convince someone, then your arguments aren't compelling enough. That's assuming they're willing to spend the time to listen to all of them...
>>7904060
There's no compulsion in truth.
>>7904060
Some people dont want to see truth.
What does /sci/ think about Bell Labs? What is today's Bell Labs?
>>7904611
>What does /sci/ think about Bell Labs?
They were very good.
>What is today's Bell Labs?
Google is going to be the next Bell Labs.
>>7904619
>>Google is going to be the next Bell Labs.
Yeah, except Bell Labs were not stealing information, and generally being super sketchy.
>>7904619
I dont think so
>tfw Google has fallen from the light, and is now a dishonest moneygrubbing corporation like all the others
she had so much promise...
What does /sci/ think about Wikipedia?
it's pretty cool, i guess
>>7904071
Wikipedia is shit. It's unreliable, biased and practically useless for finding information.
>>7904071
Wikipedia is sort of a jack of trades master of none. It's alright if you just want a brief read of a topic.