Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#176 2010-04-08 12:16:06

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi

Did you try W.A.

Solve[x^3 + 1/x^3 == 52,x]

Keep hitting more digits even though you will see the exact answer there too. I didn't use this idea because I found one that gives a general solution for any power. I will post it soon, in the original post.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#177 2010-04-08 12:32:46

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

bobbym wrote:

Did you try W.A.

No I didn't. I only 'know' the tiniest bit of Mathematica...which only came about because of some correspondence I had with the person who solved my YOB puzzle by using Mathematica. I dabbled with M. a bit initially but thought it was too complex a program for a mere dabbler like me.

I put your formula into W.A. and had a quick look at the results. Have to go to work now, so a better look will have to wait until tonight.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#178 2010-04-08 16:07:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Forgot the x at the end of the command, so I edited post #176. Have a good day at work.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#179 2010-04-08 21:34:35

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

I entered "Solve x^3 + 1/x^3 = 52 for x" into W|A, and its interpreter got my drift. That's an excellent feature for novices like me!

It gave out the formula you posted, so if I'd used W|A instead of Excel I might have avoided that inaccuracy problem.

I didn't use this idea because I found one that gives a general solution for any power.

Mine does too (I think), now that I've got rid of that approximation.

Thanks for your well-wishes, but I had a rotten day at work. Someone muffed it, which wrecked my plans...and so I got next-to-nothing done. sad I should have stayed home and enjoyed myself on MIF...which also gets next-to-nothing done.


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#180 2010-04-11 14:16:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

This one is really, really easy.

Prob #39

100 men can complete a job in 19 days. They work at a steady pace. After 13 days 11 men leave, how long does it take the remaining guys to finish the job? Justify and hide your answer.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#181 2010-04-11 23:35:20

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

My answer assumes that there isn't a work-capacity imbalance in the workers of the two groups: such as, for example, that which is in 'Dilbert's Salary Theorem' and my disproof to it (see image).

EDIT: Ignore the second image. I replaced it with the first one, but that second one won't delete.

View Image: Dilbert\ View Image: Dilbert\

Last edited by phrontister (2010-04-12 02:16:41)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#182 2010-04-12 00:13:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi;

That answer is correct. Good work!

Yes, I just got it now. Dilbert's theorem? I never thought of it that way. It actually makes sense to me.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#183 2010-04-12 00:28:20

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

bobbym wrote:

It actually makes sense to me.

Likewise. It makes perfect ¢¢ to me too.

Mine was just a totally-tongue-in-cheek disproof of a well-established, real-life factual theorem.

Last edited by phrontister (2010-04-12 01:23:05)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#184 2010-04-12 00:31:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Did you write it?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#185 2010-04-12 00:38:34

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Yes...I wrote the disproof. 'Twas just a bit of fun with a friend of mine, who emailed me the theorem, claiming "Can this theorem be disproved??? I don't think so!!!".

I couldn't resist the challenge! smile

It went on from there. My disproof was 'Reproved', which I then followed up with 'Unreprooved' (the last of them).

Last edited by phrontister (2010-04-12 01:24:05)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#186 2010-04-12 00:53:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Well written and good! Actually the comments you made in the last paragraph have been my feelings for a long time. Does anyone still know who BB is? It was required reading in my time and one of my favorite books.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#187 2010-04-12 02:24:37

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

Does anyone still know who BB is?

I can't admit to 'still' knowing anything about that (not that I ever really did), because Tigeree says I'm 27. 

I'll bore you with the last instalments of the massive missives about Dilbert's Salary Theorem's proofs etc. Here they are, in order from left to right.

Don't bother with them until you have absolutely nothing better to do!

View Image: Dilbert\ View Image: Dilbert\ View Image: Dilbert\

Last edited by phrontister (2010-04-12 03:21:39)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#188 2010-04-12 16:10:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi phrontister;

Having read those incredible efforts. I have only this to say:

1) Mathematical Physicist... now you know why I hate those guys.

2) Squillions of years?

The whole shebang would not even been necessary had people listened to M's law.

BM wrote:

Work is a four letter word and should be outlawed.- circa 1975


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#189 2010-04-14 16:45:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Okay, this one is baby easy.

Prob #40

If some polynomial is divided by ( x- 9 ) the remainder is 10. When it is divided by ( x+ 6 ) the remainder is 4. When it is divided by ( 3 x - 4 ) it has a remainder of 12. What is the polynomial?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#190 2010-04-16 09:57:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

A new one:

Prob #41

Champernowne's number is defined as .123456789101112131415161718192021...
got the pattern, good. So 21 occurs at postion 32. Do not get confused by the 21 at position 14, it is not 21 but 12 followed by 13. At what position will 65536 occur?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#191 2010-04-17 15:29:53

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

The alphametic

Prob #42

PUTINE + INOPURE +1432 + 2168 + YY = YYYYYYY

Has 2 solutions can you find them?


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#192 2010-04-17 22:19:59

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

to Champernowne's number.

Last edited by phrontister (2010-04-27 04:07:53)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#193 2010-04-18 01:17:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi phrontister;

That's a really nice piece of work! Your answer is correct. Very good!!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#194 2010-04-18 04:00:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Prob #43

A strange type of ball is dropped from 100 ft. On each bounce from the floor it does a strange thing. If the number of the bounce is a prime then the ball rebounds 4 / 5 of the height it fell from. If the number of the bounce is a composite number then it rebounds 3 / 5 of the height. How many feet does the ball travel before it comes to rest. To start you off:

The ball is dropped from 100 ft and hits the ground, since this is the first bounce and 1 is not a prime it rebounds 60 ft into the air. It falls again, 2 is a prime so it rebounds 48 ft into the air. So far it has travelled 100 + 60 + 60 + 48 = 268 ft.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#195 2010-04-18 05:00:26

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

The alphametic

.

Last edited by phrontister (2010-04-18 05:03:26)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

#196 2010-04-18 05:04:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi;

Correct! Nice solution.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#197 2010-04-18 05:49:13

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: What do you think?

bobbym wrote:

Hi;

Can you prove this using only algebra?


Last edited by JaneFairfax (2010-04-18 05:54:22)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#198 2010-04-18 06:39:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi Jane;

Sorry for the delay took me a while to verify your algebra. Correct!! Nicely done!

Here is the official answer:


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#199 2010-04-22 20:59:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: What do you think?

Hi;

Prob #44

Super easy:

Do this easy one and try to get it into this form:


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#200 2010-04-25 02:51:14

phrontister
Real Member
From: The Land of Tomorrow
Registered: 2009-07-12
Posts: 3,843

Re: What do you think?

Hi Bobby,

Last edited by phrontister (2010-04-25 03:05:02)


"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

Board footer

Powered by FluxBB