v = delta x/delta t
Now, if d is specified in metres, and t in seconds, v must be in units of metres/seconds, or m/s. See, in any equation, final units will be specified by replacing each variable in the equation by its respective unit. This is known as dimensional analysis. Other examples:
acceleration is defined as change in velocity divided by change in time: a = delta v/delta t
since v has units m/s, and t has units s, a must have units [a] = [v] / [t] = m/s/s, or m/s^2.
Try thinking about the inverse of your equation:
1048576B / 1024B = 1024. So, to get 1MB (technically 1MiB), you multiply 1024B by 1024. If you multiply 1024B by 1024B, you get 1048576B^2.
Cheers, Ben
On 24 Oct 2004, at 05:06, [EMAIL PROTECTED] wrote:
At 03:49 AM +1000 10/24/2004, Ben Dyer wrote:No, actually... think about it: 4 kilometres * 4 kilometres = 16 kilometres^2. So, 4kB * 4kB = 16kB^2 (where 1 square kilobyte is equal to a million square bytes, whatever that means). Simple dimensional analysis ;) Correctly, it should read: A megabyte is 1kB * 1024.
Now you're spanning dimensions, arbitrarily going from 1d to 2d. You've moved from a linear count of objects (bytes) to a 2 dimensional layout of square bytes - a thing that does not exist. You need to count the bytes not lay them out in a n x n pattern. :) We are *counting* quantity, not calculating area.
hum. The ability to arbitrarily introduce extra dimensions into linear calculations would sure come in handy. I want a Warp Drive NOW. :)
- Dan.
--
The Mind Of God is Music, resonating through ten-dimensional Hyperspace.
- Zen of String Theory.
-- G-Books is sponsored by <http://lowendmac.com/> and...
Small Dog Electronics http://www.smalldog.com | Refurbished Drives |
-- Check our web site for refurbished PowerBooks | & CDRWs on Sale! |
Support Low End Mac <http://lowendmac.com/lists/support.html>
G-Books list info: <http://lowendmac.com/lists/g-books.html> --> AOL users, remove "mailto:"; Send list messages to: <mailto:[EMAIL PROTECTED]> To unsubscribe, email: <mailto:[EMAIL PROTECTED]> For digest mode, email: <mailto:[EMAIL PROTECTED]> Subscription questions: <mailto:[EMAIL PROTECTED]> Archive: <http://www.mail-archive.com/g-books%40mail.maclaunch.com/>
---------------------------------------------------------------The Think Different Storehttp://www.ThinkDifferentStore.com ---------------------------------------------------------------
-- G-Books is sponsored by <http://lowendmac.com/> and...
Small Dog Electronics http://www.smalldog.com | Refurbished Drives | -- Check our web site for refurbished PowerBooks | & CDRWs on Sale! |
Support Low End Mac <http://lowendmac.com/lists/support.html>
G-Books list info: <http://lowendmac.com/lists/g-books.html> --> AOL users, remove "mailto:"; Send list messages to: <mailto:[EMAIL PROTECTED]> To unsubscribe, email: <mailto:[EMAIL PROTECTED]> For digest mode, email: <mailto:[EMAIL PROTECTED]> Subscription questions: <mailto:[EMAIL PROTECTED]> Archive: <http://www.mail-archive.com/g-books%40mail.maclaunch.com/>
---------------------------------------------------------------
The Think Different Store
http://www.ThinkDifferentStore.com ---------------------------------------------------------------
