What do you think?

phrontister · 2010-05-11 02:21:07

Hi Bobby,

Thanks for your explanation...I even made sense of most of it!

I had to ignore "methods of interpolation" and "I curve fit that table", because they went over my head.

We had the same major goals, but went about it a little differently.

Here's a better explanation of my method.

Last edited by phrontister (2010-05-11 02:40:37)

bobbym · 2010-05-11 02:41:16

Hi phrontister;

Thanks, for providing it. I actually got a little of it. Thanks also for the music. What happened to you at metamorphosis?

phrontister · 2010-05-11 03:04:32

bobbym wrote:

What happened to you at metamorphosis?

Work's been very hectic these past few weeks and I just can't fit everything in. Something out of maths problems and word games had to give, and the extra variety in maths has been the drawcard.

I enjoy word games, and metamorphosis is a good challenge. Must get back into it again...when I can.

Thanks for letting me know...I'd forgotten about it.

bobbym · 2010-05-11 03:07:01

Hi phrontister;

Also your challenge has been solved over at club 13. Will you check the solution and verify it's uniqueness.

phrontister · 2010-05-11 03:42:04

bobbym wrote:

Also your challenge has been solved over at club 13. Will you check the solution and verify it's uniqueness.

Done!

phrontister · 2010-05-11 12:29:15

Hi Bobby,

I guess I could just substitute for n to get one formula, which avoids having to do any plugging in.

Last edited by phrontister (2010-05-11 14:18:35)

phrontister · 2010-05-11 12:38:47

bobbym wrote:

Thanks also for the music.

That was something I did to help one of my relatives with their school project on synthesizers, as an example for how synths can be used to bring a variety of sounds into a performance.

The quantizing feature was very helpful!

bobbym · 2010-05-11 13:52:30

Thanks again for your new solution! Good work!

Did you ever want to be a musician, or something like that?

phrontister · 2010-05-11 14:15:43

I was always far too sports-mad (tennis, table tennis, Aussie Rules football, squash) to be interested in learning to play a musical instrument - which disappointed my mother greatly (she played the guitar and sang beautifully).

For a while I got a bit of an interest going in playing the synth, but after I'd tried out all the buttons that interest evaporated.

I like unaccompanied voice harmonies and sing in an a cappella male quartet. That takes up a lot of my time as I lead the group.

I prepare sheet music for the others on a midi-compatible software program, and burn a CD for each of them with their part in the right channel and the other 3 parts in the left...to help with learning their part. For the sounds I use a midi tone generator that the sheet music program can talk to.

We're just an amateur group and sing at our church camps and conventions, and sometimes at weddings. Good fun!

Last edited by phrontister (2010-05-11 14:25:25)

bobbym · 2010-05-11 14:26:14

So you are a singer too. You are man of many talents. Glad to know ya!

phrontister · 2010-05-11 15:27:14

bobbym wrote:

Glad to know ya!

The pleasure is mine. I enjoy your input and helpfulness.

bobbym · 2010-05-11 15:34:57

Hi;

Prob 51

here is a super easy one. What is the sum of all the coefficients of

(1 + x - x^2)^20000

phrontister · 2010-05-11 16:12:11

Hi Bobby,

Had to look up MIF's definition of coefficient, as I'd either forgotten it or wasn't taught it. The former is the more likely!

I think the answer is

.

bobbym · 2010-05-11 16:36:27

Hi phrontister;

Here is how to cheat and get some indication of what the answer might be,

It is not as large a problem as I thought. It appears that there are only 40001 terms in that expansion. Large but certainly possible.

phrontister · 2010-05-11 17:46:52

Hi Bobby,

Thanks for your explanation. Looks like the answer probably is

.

Last edited by phrontister (2010-05-11 17:53:41)

bobbym · 2010-05-11 17:53:33

That is correct reasoning, normally after playing spot the pattern you would use some proof technique like induction to prove your guess is correct. But for problems, no one ever does...

phrontister · 2010-05-11 18:07:07

Ok. Had to look up induction now (Wikipedia, as it's not on MIF). You keep on sending me to the dictionary! Just a quick look only, but I sort of get a rough idea about it. Way beyond me at my unlearned stage.

bobbym · 2010-05-11 18:26:30

Woops, you did it, I feel a rant coming on. Yep!

Rant: Induction a tedious technique that no one ever uses on a forum. I have seen hundreds of posters say to another poster, use induction. But I have never seen them actually use it. The AOPS is huge on recommending induction. After searching through 40000 posts I couldn't find a single example of someone going through the actual process. Today, over there, someone actually proved something using induction. To my knowledge I am one of only 2 humans who has ever used induction to prove a recurrence on a forum.

bobbym · 2010-05-13 02:21:41

Hi;

A nice problem that is pretty easy. Maybe you can inprove on my ugly solution:

Prob 52

Jack walks up a steep hill and back. He spends spent 80% of the time walking uphill and 20% of his time returning downhill. He averaged 3 miles per hour uphill, what is his average speed for the total trip?

mathsyperson · 2010-05-13 04:42:33

ZHero · 2010-05-13 04:54:29

mathsyperson wrote:

is it any better??

bobbym · 2010-05-13 05:10:56

mathsyperson and ZHero;

Both answers are correct! Good work!

bobbym · 2010-05-16 00:25:44

Prob 53

Two die are thrown at once. The sample space is 2,3,4,5,6,7,8,9,10,11,12. How many times must this be done on average to get all eleven numbers?

bobbym · 2010-05-25 02:35:54

Prob 54

A bunch of quarters, dimes , nickels and pennies has an average value of 14 cents. If a quarter is replaced by 25 pennies the average would drop to 7 cents. Or if a nickel was replaced by 5 pennies the average becomes 12 cents. What is the largest amount of nickels you can have?

bobbym · 2010-05-29 10:33:33

Prob 55

Can you solve this?

HURRAH + HURRAY = PUZZLES

Math Is Fun Forum

#251 2010-05-11 02:21:07

Re: What do you think?

#252 2010-05-11 02:41:16

Re: What do you think?

#253 2010-05-11 03:04:32

Re: What do you think?

#254 2010-05-11 03:07:01

Re: What do you think?

#255 2010-05-11 03:42:04

Re: What do you think?

#256 2010-05-11 12:29:15

Re: What do you think?

#257 2010-05-11 12:38:47

Re: What do you think?

#258 2010-05-11 13:52:30

Re: What do you think?

#259 2010-05-11 14:15:43

Re: What do you think?

#260 2010-05-11 14:26:14

Re: What do you think?

#261 2010-05-11 15:27:14

Re: What do you think?

#262 2010-05-11 15:34:57

Re: What do you think?

#263 2010-05-11 16:12:11

Re: What do you think?

#264 2010-05-11 16:36:27

Re: What do you think?

#265 2010-05-11 17:46:52

Re: What do you think?

#266 2010-05-11 17:53:33

Re: What do you think?

#267 2010-05-11 18:07:07

Re: What do you think?

#268 2010-05-11 18:26:30

Re: What do you think?

#269 2010-05-13 02:21:41

Re: What do you think?

#270 2010-05-13 04:42:33

Re: What do you think?

#271 2010-05-13 04:54:29

Re: What do you think?

#272 2010-05-13 05:10:56

Re: What do you think?

#273 2010-05-16 00:25:44

Re: What do you think?

#274 2010-05-25 02:35:54

Re: What do you think?

#275 2010-05-29 10:33:33

Re: What do you think?

Board footer