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May 06, 2025, 07:48:01 am
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Author Topic: SUPER-FUN-HAPPY-MATHS-TIME  (Read 41483 times)  Share 

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dcc

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #45 on: June 29, 2009, 09:20:27 pm »
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Please try to keep on-topic.
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NE2000

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #46 on: June 29, 2009, 09:22:57 pm »
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Quote from: dcc on June 29, 2009, 09:20:27 pm
Please try to keep on-topic.

yep was just responding to toomoo's off-topic post...... :-\
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2009: English, Specialist Math, Mathematical Methods, Chemistry, Physics

TrueTears

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #47 on: June 30, 2009, 02:28:44 am »
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Is transcendental, for algebraic a ≠ 0,1 and irrational algebraic b ?

lol
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Interested in asset pricing, econometrics, and social choice theory.

/0

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #48 on: June 30, 2009, 06:03:33 am »
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Quote from: TrueTears on June 30, 2009, 02:28:44 am
Is transcendental, for algebraic a ≠ 0,1 and irrational algebraic b ?

lol

yes
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Ahmad

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #49 on: June 30, 2009, 09:07:39 am »
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Mandark: Please, oh please, set me up on a date with that golden-haired angel who graces our undeserving school with her infinite beauty!

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evaporade

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #50 on: June 30, 2009, 11:02:09 am »
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Quote from: Ahmad on June 26, 2009, 10:55:53 pm
I have a triangle, and I connect each vertex of the triangle to a point on the opposite side which divides the side into 3. Like this:


These lines intersect each other to form a triangle, which is the triangle defined by the 3 red dots shown. What is the area of this triangle?

(Bonus: what if instead of dividing the opposite side into 3, you divide it into n?)
Quote from: Ahmad[quote author=Ahmad on June 26, 2009, 10:55:53 pm

[(n-2)^2 (n^2-n+1)] / [n^2 (n-1)^2] of the area of the given triangle.
« Last Edit: June 30, 2009, 11:04:01 am by evaporade »
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toomoo

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #51 on: June 30, 2009, 07:04:28 pm »
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Although some of the spesh integration stuff that requires thinking outside the box a bit is always good to do and gives a good sense of satisfaction at the end
[/quote]


Cheers brother
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Vce.

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2009[ Spesh Meth Chem Phys]

Ahmad

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #52 on: July 01, 2009, 11:20:46 am »
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I'm not sure that is right evaporade, might you have made a silly mistake somewhere?
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Mandark: Please, oh please, set me up on a date with that golden-haired angel who graces our undeserving school with her infinite beauty!

The collage of ideas. The music of reason. The poetry of thought. The canvas of logic.

evaporade

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #53 on: July 01, 2009, 01:12:40 pm »
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Thanks

1/7

(n-2)^2 /(n^2-n+1)
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Ahmad

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #54 on: July 01, 2009, 02:18:29 pm »
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That looks more like it! :)

It would be nice (and possibly helpful to others) if you could briefly outline how you did it
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Mandark: Please, oh please, set me up on a date with that golden-haired angel who graces our undeserving school with her infinite beauty!

The collage of ideas. The music of reason. The poetry of thought. The canvas of logic.

evaporade

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #55 on: July 01, 2009, 05:52:41 pm »
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The result is true for any triangle.
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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #56 on: July 01, 2009, 08:59:43 pm »
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It looks like menelaus theorem could be applied but I haven't tried it yet
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evaporade

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #57 on: July 03, 2009, 09:04:08 am »
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Bonus questions



You can extend to a different polygon.

« Last Edit: July 03, 2009, 09:10:24 am by evaporade »
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Cthulhu

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #58 on: July 05, 2009, 07:04:00 pm »
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BONUS QUESTION FOR 1e1000000 points.
Consider the function of complex variable s

Show that all non-trivial zeroes have real part 1/2
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evaporade

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Re: SUPER-FUN-HAPPY-MATHS-TIME
« Reply #59 on: July 05, 2009, 07:48:30 pm »
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not up to that yet in vce spesh
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