Puzzles with numbers and things

[davis_greatest]

Last one

Not sure why number 2 didn't appear - it says .gif files are allowed. Here in the meantime is the last one, number 4...

[davis_greatest]

Oh dear, number 2 didn't work...

Never mind - I won't delete that message. It obviously didn't like .gif files.

Here is number 3... Should work - another .jpg ...

[davis_greatest]

Good - it worked!

Number 2...


[Edit - I've found out why this image didn't appear - it's got too many pixels.]

[davis_greatest]

More answers to maths questions

Number 1....

(I've never attached a picture before - hopefully it will appear below.)

[snookersfun]

some funny stuff:
Three statisticians went rabbit hunting one day. While walking along, they scared a rabbit out of the brush and send him running. The first statistician shot and there was a puff of dust 1 yard behind the rabbit. The second shot next and there was a puff of dust one yard in front of the rabbit. The third one yelled, "We got it!!"

The Dictionary: what mathematics professors say and what they mean by it:
Clearly: I don't want to write down all the "in-between" steps.

Trivial: If I have to show you how to do this, you're in the wrong class.

It can easily be shown: No more than four hours are needed to prove it.

Check for yourself: This is the boring part of the proof, so you can do it on your own time.

Hint: The hardest of several possible ways to do a proof.

Brute force: Four special cases, three counting arguments and two long inductions.

Elegant proof: Requires no previous knowledge of the subject matter and is less than ten lines long.

Similarly: At least one line of the proof of this case is the same as before.

Two line proof: I'll leave out everything but the conclusion, you can't question 'em if you can't see 'em.

Briefly: I'm running out of time, so I'll just write and talk faster.

Proceed formally: Manipulate symbols by the rules without any hint of their true meaning.

Proof omitted: Trust me, It's true.

Biologists think they're biochemists.
Biochemists think they're chemists.
Chemists think the're physical chemists.
Physical Chemists think they're physicists.
Physicists think they're God.
God thinks he is a mathematician.

There are three kinds of mathematicians -- those who can count and those who can't.

[abextra]

Puikus, Vidas, nice to see you back in action!

[snookersfun]

Vidas, very nice, here is your point then

HERE IS THE SCOREBOARD AFTER ROUND 51, with round 49 still waiting for d_g to resurface

snookersfun……………………….…..21
abextra……………………………..…...11
Vidas……………………………………….9½
robert602…………………………………6
davis_greatest…………………..……5½
elvaago...............................4
Semih_Sayginer.....................½

(some rounds may be worth more than one point)
(especially ones won by davis_greatest)

[Vidas]

added one more line(see picture).
ABC, EBA, FBD all are similar triangles,
AB=AD+1, BC=2FB.
(AD+DB)/BC = EB/(AD+DB) = FB/DB, or (AD+1)/2FB=1/(AD+1) = FB,
(AD+1)^3=2.

[snookersfun]

Well done Vidas! Can you put up the solution now and I'll give you the point

[Vidas]

I found another nice one, for anybody with time on his hands

What is the length of AD in the following triangle? (some right angles here and EB=BD=CD=1)

3
√2 - 1 ?

[snookersfun]

triangles

I found another nice one, for anybody with time on his hands

What is the length of AD in the following triangle? (some right angles here and EB=BD=CD=1)

[elvaago]

I'm fairly sure The Statman got it right there, with the most thorough explanation possible. But today has been so busy at work that I haven't had much time to do anything but, well, work!

[davis_greatest]

read my last post TS, it's all there. I am sure you will leapfrog Semih for the effort, but will leave it for d_g, he is the math freak.

I will look, I promise - but don't think I will get a chance before Saturday...

[snookersfun]

don't despair The Statman

read my last post TS, it's all there. I am sure you will leapfrog Semih for the effort, but will leave it for d_g, he is the math freak.

[The Statman]

What about me (post at the top of this page)? Do I not get anything for that?