Archived threads in /sci/ - Science & Math - 340. page
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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...
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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.
How am I fucking up the Venn Diagram?
The two statements are logically equivalent but I am getting a Venn Diagram that says they are not.
>>7910705
Why is the graph on a chalkboard white on a black background when on a computer screen or piece of paper, it's black with a white background? Obviously they're opposites...
Math doesn't care about our coordinate systems or methods of drawing it.
The venn diagram has no meaning except what you assign to it. Is shaded 'marked' or is the unshaded 'marked'?
It ultimately depends on how you draw it, and in one, you seem to have done one and the opposite in the other.
>>7910705
Just because two statements are true doesn't mean that they are equal.
>>7910713
I'm using contraption in logic to get from the first statement to the second, they should be logically equivalent.
All non-A are B
(flip subject and predicate)
All B are non-A
(replace with term complements)
All non-B are A
Should a High School math teacher be required to take courses in Real Analysis and Abstract Algebra?
Yes. I mean, they don't have to be Ph.Ds or anything but some understanding of what is going on should be required.
>>7909878
No. Personally if I was a high school math teacher and had studied analysis, it would cause me to have an autism attack to teach shitty high school calculus.
>>7909878
>abstract algebra
Romanian here - half of 12th year in hs is dedicated to abstract algebra, so I'd asume yes
Heres a logic puzzle for you.
There are 6 face down cards, labelled 1 to 6. You and your opponent each take a card at random. At the end of the game, whoever has the highest numbered card wins.
Your card is 2.
Your opponent looks at his card, and then offers you a trade. Do you take it?
No, he is almost certainly has an 1 or else he wouldn't offer to trade.
Even if there were 100 cards, labelled 1 to 100 and you got a 2 it would still be a stupid idea to accept the trade.
>>7909560
In that case it wouldn't tho
