Exponents Free Essay, Term Paper and Book Report
Patterns that arise in the formulas of plane geometry often correspond to patterns in the formulas of solid geometry, and they may suggest analogous relationships in higher dimensions. One of the simplest of these patterns arises when we measure the length or area or volume of the basic building blocks in any dimension-namely a segment in a Iine, a square in a plane, and a cube in space, In the line, a segment has length an if we can cover it exactly by m segments of unit length. Similarly in two dimensions, square with side length m can be filled exactly with m2 unit squares. And in three dimensions, a cube having side length m can be filled exactly with m3 unit cubes. The pattern is in the exponents: in dimension n, the volume of an n-cube having sides of length m is n2, so a four-dimensional cube having sides of length m would be filled with exactly m4 unit four-dimensional cubes.
A cube of side length msubdivided into m3 unit cubes.
But is there a geometric configuration that corresponds to this expression m4? It would have to be four-dimensional, and indeed it ......
Word Count: 395
Page Count: 1.5 (250 words a page / double spaced)
View This Essay Now $19.99 (or $12.99 for membership)
|
What is Your Time Worth?
Get INSTANT UNLIMITED ACCESS to this paper
and 15,000 other essays and term papers!
|
|
Search for other Exponents essays, term papers and book reports.
Other Free Essays, Term Papers and Book Reports:
We have the best book reports, essays and term papers on Exponents. For the cost of a pizza and some beer let us help you make your job of writing your paper easier. It's that simple.
|
|
Dear Free Essays:
Thanks for helping me with my term paper!
With so many essays and term papers on your service, I got a few ideas from mixing and matching and managed to write a great paper in 1/10 the time. My teacher thought so too because I got an A grade. Thank you so much!
Julia B.
Denver, Colorado
|
I'm very pleased with the quality of your term papers and essays. For all the time and worrying your service saved me from, it was well worth the $12.99.
Brandon W.
Columbus, Ohio
|
I totally waited to the last minute to work on my term paper and really started to freak. But your site totally came to my rescue and helped me out of a bind. I scored an 94 and was very pleased. Thank you!
Greg F.
UC San Diego
|
|
PRIVACY
|
TERMS & CONDITIONS
|
MEMBER LOGIN
|
CUSTOMER SUPPORT
