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

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#151 Re: Help Me ! » Discrete Maths » 2008-04-23 13:14:30

So...

.
I conclude that I don't know anything about discrete maths.:P

#152 Re: Help Me ! » limits » 2008-04-23 12:40:54


Thanks, TheDude.

#153 Re: Help Me ! » limits » 2008-04-23 01:41:51

So...


Arrg. If there's one thing that I need serious help on, it's LaTeX.

#154 Re: Formulas » Algebra Formulas » 2008-04-18 12:53:12


(a+b)^c = sum starting at k=1 to infinity((v choose k) x^k a^(v-k))
I couldn't get that to work in LaTeX.

#155 Re: Maths Is Fun - Suggestions and Comments » Wink Murder » 2008-04-16 12:20:11

So I guess this is the perfect time to ask. May I please be a Real Member? Please?

#156 Re: Dark Discussions at Cafe Infinity » Music; what's your song? » 2008-04-15 13:03:37

My favorite bands are Matchbox 20 (is this their real name?) and Green Day. My favorite singers are Jason Blunt, John Mayers, and Jack Johnson.

#157 Re: Maths Is Fun - Suggestions and Comments » Wink Murder » 2008-04-15 02:13:56

Hold on: I'm not a Real Member yet, so I can't PM.

#159 Re: This is Cool » pentagon conjecture » 2008-04-13 08:43:53

OK, looks like my division by hand isn't reliable. The ratio is 2.6180738... when I used the values MathsIsFun used in his drawing.
It's very close to the Golden Ratio +1. I wonder if the two are connected to each other somehow. This will be an interesting project to dust off after 2 years.

#160 Re: This is Cool » Properties of trigonometric waves » 2008-04-11 01:33:44

Yeah, that's what I meant. Sorry if it was unclear.

#162 Help Me ! » What is that ringed or double ringed integral? » 2008-04-10 02:41:39

simron
Replies: 1

I was told that it was a complex integral. So what's a complex integral?

#163 Re: This is Cool » Properties of trigonometric waves » 2008-04-09 08:47:48

One cool thing that branches from this is the fact that y=sin(x)+x and y=x intersect at pπ/2 where p is the number of times it happened.

Whoever that is up there wrote:

For m, treat the line like the x-axis.

I guess this makes sense.

#164 Re: This is Cool » Pi to a Million Decimal Places! » 2008-04-08 12:14:47

If you can't get to the million digits, try index314.html at the end.

#165 Re: Jokes » Is Windows a Virus? » 2008-04-08 08:48:27

All_Is_Number wrote:

Virtually everything is more user friendly on the Mac.

what That's interesting. Our Mac OSX filled up WAY too fast on memory and now has taken over our house's network. I cannot do anything unless "the Mac is willing."

#166 Re: Jokes » Jokes for geeks! » 2008-04-08 02:27:36

There are 3 kinds of people: those who can count and those who can't.

#167 Re: Jokes » Proof :- e equal to one » 2008-04-04 14:57:42

a=b
a^2=ab
(a^2)-(b^2)=ab-(b^2)
(a+b)(a-b)=b(a-b)
a+b=b
b+b=b (substitution from equation 1)
1+1=1
2=1!!!

#169 Re: This is Cool » Domestos Kills Germs! » 2008-04-03 12:28:20

Also:
1-.9=.1
1-.99=.01
1-.999=.001
limit as x goes to infinity (1-x(.1+.01+.001+.0001...))=0
limit as x goes to infinity (x(.1+.01+.001+.0001...))=1
SO THE LIMIT OF .99999... IS 1
Q.E.D.
I think I know where Anthony is coming from. Infinity is kind of a hard concept for everyone (well... me for sure. It sure took me a while for me to figure it out).

#170 Re: This is Cool » squares just above one » 2008-04-02 11:31:26

I know how this works.


P.S. What does Q.E.D. stand for?

#171 This is Cool » Properties of trigonometric waves » 2008-04-02 11:20:39

simron
Replies: 3

Someone's probably put this down somewhere, but here's something cool I found about graphing trigonometric waves.
SINE:


a=amplitude
p=period
e=exponential period
i=y-intercept
m=x-alignment
TANGENT:

a=amplitude
p=frequency
e=?
m=x-alignment
i=y-intercept
NOTE: An easy way to graph these is to ignore the sin() or tan() part. Graph this. Take into account a,p,e,and m. (For m, treat the line like the x-axis. For the rest, only account for the real x-axis.) And I do not mean arctangent by a tan.
*sigh* And this is what I do when I have too much free time.

#172 Re: This is Cool » Cut A Hole! In A Sheet Of Paper Problem!... » 2008-03-15 14:54:08

Shall we assume that this is not 3-dimentional matter, but a 2-dimentional plane segment? Therefore, the limit of the percentage of the paper consumed by the hole (no zigzaggedy lines) is 100%. But it cannot be 100%. Unless you warp the quantum mechanical stuffage. Any tips?

#173 This is Cool » Cool Functions... can anyone add more? » 2008-01-07 12:57:36

simron
Replies: 1

Here are some really cool functions you can do on the graphing calculator here: http://www.mathsisfun.com/graph/function-grapher.php (Note that the variable needs to be x, and for the Polar sub-list, the "Polar" button needs to be hit.)

Cartesian (normal):
sin(x^(cos(x)+x))
x^(cos(x)) (If you zoom out, you may see a pattern develop.)
acos(sin(3x-sqrt(ex^2)+1))

Polar (hit "Polar"):
sin(x^(cos(x)+x)) (You may need to click on "Zoom In 2x" a few times to really see how cool this one is.)
floor(x^3)
x^(cos(x))
atan(x)
acos(sin(3x-sqrt(ex^2)+1))


Can anyone add more? Please? big_smile

#174 Re: This is Cool » Domestos Kills Germs! » 2008-01-04 06:22:57

Is there anything wrong with this proof?
1/9=.111...
2/9=.222...
3/9=.333...
4/9=.444...
5/9=.555...
6/9=.666...
7/9=.777...
8/9=.888...
9/9=.999...
See the pattern? x/9=x((1/10)+(1/100)+(1/1000)+...). 9/9=1, because x/x=1, but 9/9, as I show above, is .999... Therefore, using substitution, I can conclude that .999...=1.
Is there a flaw? I think so...:/

#175 Re: This is Cool » How to win the lottery? » 2007-05-21 07:45:25

Of course, we're hoping that the jackpot is over how much you paid for it. It would be just a waste of money to do it when the jackpot is under 13 million.

Also, on post #3, I heard that if two or more people win the lottery, the jackpot is split between the people who won. Could you have 2 lottery tickets be the same and then not have the winning lottery ticket if you only bought the bare minimum to win?

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