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Degrees of freedom and the 'img' tag

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Posted by pianowow on March 30, 2003 at 07:43:50:

In Reply to: Re: Jazz and second dimensional time posted by rtharbaugh on March 29, 2003 at 09:00:03:

If you move the arrow one way, some lines dissapear into points and other points grow into lines. How many ways are there to move?

"Ways to move sounds" to me sounds like you're asking how many degress of freedom we're dealing with. The degrees of freedom in 3D are x,y,z (position); and roll, pitch, yaw (orientation).

The number of degrees of freedom in a 3+(T time dimensions) world is given by the following formula.

Where N is the number of degrees of freedom and d is 3 plus T, or the total dimensionality of the universe. The "Mod" operator behaves like the regular modulo operator except when (d mod 3) = 0, (d Mod 3) = 3.

In four spatial dimensions, (d Mod 3) just becomes (d Mod 4).

The 3D series looks like this: 1, 3, 6, 7, 9, 12... etc. Twelve degrees of freedom is a (3 + 3) universe.

How did you get that picture into your follow up?

Okay, in html we have what are called tags in order to format text and insert images. The 'img' tag, surrounded by < and >, will insert an image into an html document. But, the computer needs to know where to find the picture, so we use an 'src' property for location. Basically, inside of those less-than and greater-than signs, you should put something that looks like this:

img src = "protocol://www.fooWebURL.blah/fooFilepath/fileName.fileType"

an example (the image above):
img src = "http://www.coe.uncc.edu/~csirwin/formulafromdimensionalitytodegressoffreedom.JPG"

Again, before img is <, and after the last " is >.

This nifty html tag lets you put an image wherever you want into an html document. Of course, you must have access to some sort of server space to upload the picture you want.

If you want to know anything else that html lets you do- like font size, bold, italics, underlines, or links - let me know. More advanced stuff like tables or menus? Read a book. :-)


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