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Math questions?

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three-dimensional-world

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Math questions?
« on: June 02, 2011, 12:45:44 PM »
Got any math questions you've wanted answers to but too afraid to ask? ILL TRY TO ANSWER THEM (unless someone else does it better first).  8)

(I make this thread for you because of the interest in math here)

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Trekky0623

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Re: Math questions?
« Reply #1 on: June 02, 2011, 03:43:19 PM »
Does P = NP?
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Vindictus

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Re: Math questions?
« Reply #2 on: June 02, 2011, 04:53:59 PM »
Why can't I divide by zero?
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Harutsedo

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Re: Math questions?
« Reply #3 on: June 02, 2011, 04:57:32 PM »
Quote from: Trekky0623 on June 02, 2011, 03:43:19 PM
Does P = NP?

Think carefully, 3DW. We have $1,000,000 riding on this.
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three-dimensional-world

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Re: Math questions?
« Reply #4 on: June 02, 2011, 05:40:43 PM »
Quote from: Trekky0623 on June 02, 2011, 03:43:19 PM
Does P = NP?

Obviously P is not equal to NP, sorry if you wanted proof... I can't prove it.

Quote from: Vindictus on June 02, 2011, 04:53:59 PM
Why can't I divide by zero?

Normally you can't divide by zero because multiplication by zero wouldn't give back the original (it would give zero instead), of course there are situations where you can too.

-------

im going to bed will answer more questions tommorow.
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Particle Person

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Re: Math questions?
« Reply #5 on: June 02, 2011, 11:43:36 PM »
does e?
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three-dimensional-world

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Re: Math questions?
« Reply #6 on: June 03, 2011, 02:40:56 AM »
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Hazbollah

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Re: Math questions?
« Reply #7 on: June 03, 2011, 05:13:19 AM »
Say you have 1 divided by 0, I think it would give 1 because you haven't divided it by anything.
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Hessy

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Re: Math questions?
« Reply #8 on: June 03, 2011, 05:26:08 AM »
Exact value of Pi.  No rounding please.
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Hazbollah

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Re: Math questions?
« Reply #9 on: June 03, 2011, 08:07:24 AM »
Quote from: Hessy on June 03, 2011, 05:26:08 AM
Exact value of Pi.  No rounding please.
At my local chippy, ?3.10. You may have misspelt pie.
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three-dimensional-world

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Re: Math questions?
« Reply #10 on: June 03, 2011, 08:35:13 AM »
Quote from: Hazbollah on June 03, 2011, 05:13:19 AM
Say you have 1 divided by 0, I think it would give 1 because you haven't divided it by anything.

hahaha

Quote from: Hessy on June 03, 2011, 05:26:08 AM
Exact value of Pi.  No rounding please.

pi is what mathematicians call a real number. This is defined as an infinite sequence of fractions which "gets closer and closer" to some limit. One way of writing out these sequences is using digits e.g. 3.141592653589... corresponds to the sequence (3,31/10,314/100,31415/100,...) but the ...'s are cheating: every ... should be able to be replaced with a method for continuing it indefinitely. The solution is to write a formula for the sequence of fractions: Here is one: f(0) = 0; f(n+1) = f(n) + (4(-1)^n)/(2n+1)

So f(1) = 0 + 4/1 = 4; f(2) = 4 - 4/3; f(3) = 4 - 4/3 + 4/5; f(4) = 4 - 4/3 + 4/5 - 4/7; f(5) = 1052/315; f(6) = 10312/3465.

so pi = (f(n))_n = (4,8/3,52/15,304/105,1052/315,10312/3465,...)

if you have any more questions about it ask away!
« Last Edit: June 03, 2011, 08:37:22 AM by three-dimensional-world »
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Trekky0623

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Re: Math questions?
« Reply #11 on: June 03, 2011, 10:21:56 AM »
Quote from: three-dimensional-world on June 03, 2011, 08:35:13 AM
pi is what mathematicians call a real number.

I think you mean irrational. Of course it's real.
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Roundy the Truthinessist

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Re: Math questions?
« Reply #12 on: June 03, 2011, 04:42:32 PM »
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?
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Quote from: wise on August 21, 2018, 11:47:45 PM
Where did you educate the biology, in toulet?
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Crustinator

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Re: Math questions?
« Reply #13 on: June 03, 2011, 04:47:33 PM »
Quote from: Trekky0623 on June 03, 2011, 10:21:56 AM
Quote from: three-dimensional-world on June 03, 2011, 08:35:13 AM
pi is what mathematicians call a real number.

I think you mean irrational. Of course it's real.

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three-dimensional-world

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Re: Math questions?
« Reply #14 on: June 03, 2011, 05:37:15 PM »
Quote from: Roundy the Truthinessist on June 03, 2011, 04:42:32 PM
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?

 :'( :'( :'( :'(


what the heck sort of answer did you want?
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Tausami

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Re: Math questions?
« Reply #15 on: June 03, 2011, 08:23:05 PM »
Can you give me a proof for the segment addition postulate? It's gonna be on my test.
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Roundy the Truthinessist

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Re: Math questions?
« Reply #16 on: June 03, 2011, 08:46:59 PM »
Quote from: three-dimensional-world on June 03, 2011, 05:37:15 PM
Quote from: Roundy the Truthinessist on June 03, 2011, 04:42:32 PM
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?

 :'( :'( :'( :'(


what the heck sort of answer did you want?

THE CORRECT ONE!  I expect a proof.
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Quote from: wise on August 21, 2018, 11:47:45 PM
Where did you educate the biology, in toulet?
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Hazbollah

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Re: Math questions?
« Reply #17 on: June 04, 2011, 01:34:50 AM »
Quote from: three-dimensional-world on June 03, 2011, 08:35:13 AM
Quote from: Hazbollah on June 03, 2011, 05:13:19 AM
Say you have 1 divided by 0, I think it would give 1 because you haven't divided it by anything.

hahaha


What? I think we can safely say that zero means nothing. I am not holding an apple, I have zero apples. Zero denotes non-existence, as there is nothing there. Thus, you are dividing it by nothing, which is another way of saying you are not dividing it by anything.
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Parsifal

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Re: Math questions?
« Reply #18 on: June 04, 2011, 02:51:16 AM »
Quote from: Hazbollah on June 04, 2011, 01:34:50 AM
What? I think we can safely say that zero means nothing. I am not holding an apple, I have zero apples. Zero denotes non-existence, as there is nothing there. Thus, you are dividing it by nothing, which is another way of saying you are not dividing it by anything.

By that logic, multiplying 1 by 0 also gives you 1, because you have not multiplied it by anything.

For a more direct rebuttal, consider what division means. 8 divided by 5 means "8 divided into 5 equal parts" -- each part would be 1.6 in magnitude. Now consider the meaning of 1 divided by 0; if you divide a single unit of something -- say, a brick -- into exactly zero parts, how many bricks do you have in each part? It isn't 1, because zero parts of one brick each nets you zero bricks.
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three-dimensional-world

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Re: Math questions?
« Reply #19 on: June 04, 2011, 06:13:38 AM »
Quote from: Tausami on June 03, 2011, 08:23:05 PM
Can you give me a proof for the segment addition postulate? It's gonna be on my test.

 ??? I don't know what theory you are even talking about, it will be easiest for you to read notes about this or ask your teacher..
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Harutsedo

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Re: Math questions?
« Reply #20 on: June 04, 2011, 10:40:29 AM »
Quote from: Roundy the Truthinessist on June 03, 2011, 04:42:32 PM
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?

Yes. All of them, in fact. I would write down the proof, but it is too large to fit in the margins.
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Roundy the Truthinessist

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Re: Math questions?
« Reply #21 on: June 04, 2011, 10:41:14 AM »
Quote from: Harutsedo on June 04, 2011, 10:40:29 AM
Quote from: Roundy the Truthinessist on June 03, 2011, 04:42:32 PM
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?

Yes. All of them, in fact. I would write down the proof, but it is too large to fit in the margins.

Oh, how conveeeeeenient.
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Quote from: wise on August 21, 2018, 11:47:45 PM
Where did you educate the biology, in toulet?
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optimisticcynic

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Re: Math questions?
« Reply #22 on: June 13, 2011, 05:24:59 PM »
ooo. I have a question actually... so I have been trying to come up with a "nice" equation that describes the electric field inside the plane of a ring... my integrals keep getting reaaaaally ugly and I was wondering if you can come up with a nice integral for it...
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PizzaPlanet

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Re: Math questions?
« Reply #23 on: June 13, 2011, 06:17:23 PM »
4+4/4=?
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Parsifal

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Re: Math questions?
« Reply #24 on: June 13, 2011, 10:20:07 PM »
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Quote from: Ævan on August 11, 2013, 01:18:20 PM
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Harutsedo

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Re: Math questions?
« Reply #25 on: June 13, 2011, 10:36:20 PM »
Quote from: Parsifal on June 13, 2011, 10:20:07 PM
Quote from: PizzaPlanet on June 13, 2011, 06:17:23 PM
4+4/4=?

2, obviously.

It's funny because you knowingly gave the wrong answer.
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PizzaPlanet

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Re: Math questions?
« Reply #26 on: June 14, 2011, 02:05:21 AM »
Prove that the derivative of e^x is e^x.
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Trekky0623

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Re: Math questions?
« Reply #27 on: June 14, 2011, 02:29:35 AM »
Quote from: Harutsedo on June 13, 2011, 10:36:20 PM
Quote from: Parsifal on June 13, 2011, 10:20:07 PM
Quote from: PizzaPlanet on June 13, 2011, 06:17:23 PM
4+4/4=?

2, obviously.

It's funny because you knowingly gave the wrong answer.


It's funny because nobody writes equations that way. Math is a language, and writing 4+4/4 is just poor wording on the writer's part because it is ambiguous. Now, if we follow the order of operations to the letter, yes, we'll get five. However, real mathematicians write it like this:



OR

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Particle Person

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Re: Math questions?
« Reply #28 on: June 14, 2011, 02:33:42 AM »
Quote from: Trekky0623 on June 14, 2011, 02:29:35 AM
Quote from: Harutsedo on June 13, 2011, 10:36:20 PM
Quote from: Parsifal on June 13, 2011, 10:20:07 PM
Quote from: PizzaPlanet on June 13, 2011, 06:17:23 PM
4+4/4=?

2, obviously.

It's funny because you knowingly gave the wrong answer.


It's funny because nobody writes equations that way. Math is a language, and writing 4+4/4 is just poor wording on the writer's part because it is ambiguous. Now, if we follow the order of operations to the letter, yes, we'll get five. However, real mathematicians write it like this:



OR



It isn't ambiguous at all if the reader is at all familiar with the order of operations.
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Trekky0623

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Re: Math questions?
« Reply #29 on: June 14, 2011, 03:54:18 AM »
Quote from: Harutsedo on June 04, 2011, 10:40:29 AM
Quote from: Roundy the Truthinessist on June 03, 2011, 04:42:32 PM
Is the real part of any non-trivial zero in the Riemann zeta function 1/2?

Yes. All of them, in fact. I would write down the proof, but it is too large to fit in the margins.

Fermat: the greatest troll in the history of mathematics.
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