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You are not logged in. #1 20070102 07:28:44
Dimensional analysisFirst I will make the statement that any dimension that has length will be equally long since a dimension has no properties besides length. If the length of D1 is a property of D2, then D2 is a property of D1 in the same way, and since there is nothing else for D1 to be property of besides Dn, they will all be equally long. I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #2 20070102 16:50:13
Re: Dimensional analysisCan you first work on a rigorous definition of what a dimension is? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20070102 17:36:45
Re: Dimensional analysisIt sounds a bit like "how do I know you really exist ... I might just be inventing this whole conversation" "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20070102 20:35:06
Re: Dimensional analysisIf a dimensions length is undependent of time, then sooner or later it will get zero length, and that could be at any time since it's time undependent. But if it is time dependent then we know for certain that the size of the dimensions are equally long since one dimension is unseperatable from the other and hence effect eachother with equal manners. Last edited by LQ (20070102 20:40:59) I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #5 20070102 20:43:24
Re: Dimensional analysis
I was talking length. I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #6 20070103 01:46:21
Re: Dimensional analysisThe word Dimension can refer to shapes such as 2dimensional (2d) shapes and 3dimensional (3d) shapes. A simple example of a 2d shape is a square whilst its 3d counterpart is defined as a cube. Dimensions can be better explained using axis. On a 2d coordinates grid we have only an 'x' axis and a 'y' axis whilst on a 3d grid there is a third 'z' axis. Let's count up how many axis we have on both grids. On the 2d grid we have 2 axis, hence the definition 2dimensional. On the 3d grid we have 3, hence the definition 3dimensional. Humans can see only a limited number of dimensions. We mostly see 3dimensions as some faces of opaque shapes are often hidden unless we change our viewpoint. Then again even if we change the angle at which we see something, some of the faces we could see before are then hidden. This is a simple study of dimensions and should be referred to before moving on to more complex dimensional studies. 0 can be nothing and something. 0 #7 20070104 00:33:54
Re: Dimensional analysisThen I'll add this: I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #8 20070104 09:18:08
Re: Dimensional analysisNice explanation, Zero. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #9 20070104 21:27:43
Re: Dimensional analysisYeah, zero's got it figured out and that theory is nice. As for my own, did I break any rules? Last edited by LQ (20070104 23:20:30) I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #10 20070105 08:44:59
Re: Dimensional analysisInteresting idea, but has anyone observed something that loses a dimension? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #11 20070105 09:09:14
Re: Dimensional analysis
How is it that a dimension has length? You say that by dimension you mean length, so are you saying that length has a length? That doesn't seem to make any sense.
I saw a plane the other day. It was pretty flat, but I'd still say that it was 3d. Flew beautifully though. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #12 20070105 23:12:21
Re: Dimensional analysisYes, some things dots are still 3D, but if you look at big things, like galaxies, they are flat, aren't they? Relatively speaking... Last edited by LQ (20070106 05:52:05) I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #13 20070106 05:50:00
Re: Dimensional analysisOk, I posted something new in the last post, I thought I should let you know, Incase you are interested. I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #14 20070106 06:42:56
Re: Dimensional analysis
Calling a galaxy flat is the equivalent of calling a piece of paper flat. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #15 20070106 09:26:25
Re: Dimensional analysisYes, that's exactly the analogy i meant to make. I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #16 20070106 09:35:36
Re: Dimensional analysisBut a piece of paper is not flat... "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #18 20070106 16:58:40
Re: Dimensional analysisNo, it has a height. A quick few searches shows this to be 0.004 inches, but I'm not certain if this is the standard. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #20 20070106 21:31:09
Re: Dimensional analysisYes, but if the room was about to go 2D, wouldn't it start like that? Last edited by LQ (20070106 21:32:57) I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #21 20070107 10:02:47
Re: Dimensional analysis
How is it that something can go 2D? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #22 20070107 22:23:15
Re: Dimensional analysisThe same reason that something can go 3D. I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #23 20070108 04:09:07
Re: Dimensional analysisHeh, alright. And that would be? Sorry, I can't recall anytime I've seen something change dimensions. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #24 20070108 06:24:57
Re: Dimensional analysisHow about a balloon? Last edited by LQ (20070108 06:29:52) I see clearly now, the universe have the black dots, Thus I am on my way of inventing this remedy... #25 20070108 09:17:33
Re: Dimensional analysis
But again, you lose me right off the bat. I don't see how you can see us as a 4d line. Space itself is four dimensional, at the very least. Also, dy/dx is not a change over other dimensions, it how y changes as a function of x. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 