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#326 Re: This is Cool » Wooden 3-D graph » 2007-07-29 07:03:49

First I drilled wholes into my base, and created a sort of 2-D plane, then I measured and cut the corresponding dowel and plugged it in. (for example, at the point (3,4) the dowel is 5 units long).

Some stuff I noticed as I was making it:

there are 8 of every length except the lengths that are represented by (2x)^.5 (the diagonals) and x^.5 or y^.5 (the vertical axis and horizontal axis).

An intersecting plane perpendicular to the z axis will create a curve in the form y = a|x| where a is a constant. In the diagonal, a = 2^.5, if the plane is x = 0 or y = 0 then a = 1

#327 This is Cool » Wooden 3-D graph » 2007-07-29 06:11:24

bossk171
Replies: 6

This is something I made, feed back would be great of course.

1000356fi9.jpg
Shot with KODAK CD33 ZOOM DIGITAL CAMERA at 2007-07-29

1000357fz7.jpg
Shot with KODAK CD33 ZOOM DIGITAL CAMERA at 2007-07-29

1000358sf0.jpg
Shot with KODAK CD33 ZOOM DIGITAL CAMERA at 2007-07-29

#328 Re: Puzzles and Games » The Prisoners and the Cards » 2007-07-24 06:56:55

mathsyperson wrote:

I would say you're on the right track, but then your example seems to contradict your reasoning. Is that a typo?

No, I'm just a bit of an idiot, it's fixed now.

#329 Re: Help Me ! » Trig Equation Help! » 2007-07-23 13:33:06

mikau wrote:

so x = pi/16, 3pi/16, 5pi/16, or 7pi/16. All of these are solutions to the equation. This is why i hate trig equations. sad

My trig teatcher always demanded we write

in which k is a whole number. I always thought it was over kill, but he demanded "absolute truth."

#330 Re: Puzzles and Games » The Prisoners and the Cards » 2007-07-23 13:26:37

The suit of the 5th card can be easily communicated, but I've no idea how you could send the value

#331 This is Cool » x triangled » 2007-07-17 17:37:49

bossk171
Replies: 19

This was brought up by competearoundtheworld in a post but it wasn't related directly to his topic, it did however spark my interest, so here it is.

Competearoundtheworld  aroud the world said that you can triangle a number the same way you can square a number. I looked around and this is what I found:

When you triangle a number you are finding out how many circles it takes to build an equalateral trainge with the side of that value.

check this out: http://en.wikipedia.org/wiki/Triangular_number

Curious, I tried to Tetrahedronize numbers. I came up with:

It wasn't until I sat down to write this post did I come across the wiki:

http://en.wikipedia.org/wiki/Tetrahedral_number

none of this is stuff I've heard of before, but it seems pretty simple. I wonder if there is anything more anyone can add to my (and others) understanding?

#332 Re: Help Me ! » factorals for non intigers » 2007-07-17 16:42:11

MathsIsFun wrote:
krassi_holmz wrote:

And I thing it will be better if you start exploring the Gamma function with some more user-friendly text.

Which someone here could volunteer to write ... ?

Yes, that would be nice.

#334 Re: Help Me ! » Help me!!!!!!!!!! » 2007-07-17 06:37:47

Benifits, vacation time, etc...

#335 Re: Help Me ! » Ti-83 Calculator Help » 2007-07-17 06:22:29

I'm glad I could help, but it might be easier just to use the "TRACE" button and input what ever values you'd like to know.

#336 Re: Help Me ! » Ti-83 Calculator Help » 2007-07-17 05:53:55

Personally I hate the grid lines, but here you go:

2nd: format (zoom)

hit down three times and right once ("GridOn")

ENTER

#337 Re: Help Me ! » factorals for non intigers » 2007-07-17 04:26:54

Thanks, mathysperson, that was very enlightening.

I printted out a copy of the wolfram Mathworld page, and I'm trying again, but I have some questions:

What is "residue?" (line [2] on his page)

Is the Gamma function something we just accept (like Taylor series) because it's too difficult to understand, or is there a proof for why it works?

EDIT: I wikied "residue" and it says "In complex analysis, the residue is a complex number which describes the behavior of line integrals of a meromorphic function around a singularity."  That in No way helps me.

#339 Re: Help Me ! » factorals for non intigers » 2007-07-16 08:09:21

Thanks, I've looked at this before, but I'm afraid it's a little over my head. I took AP calc (and did quite well) but this is too much.

Is there anyway to simplify things, or do I have to understand it completely to understand it at all?

#340 Help Me ! » factorals for non intigers » 2007-07-16 06:08:51

bossk171
Replies: 12

How are they calcualted?

I understand n! = (n)*(n-1)*...*(2)*(1)

what is 2.5!

or e!

or -4!

and how do I do calculate it long hand?

-Nick

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