Everything2
Near Matches
Ignore Exact
Full Text
Everything2

Hyperspace in terms of Calculus

created by Dante the Sheep

(idea) by Dante the Sheep (2.4 y) (print)   ?   (I like it!) Sat Mar 22 2003 at 9:37:54

Ok, I was surfing other nodes about hyperspace, and an interesting method of conceptualizing hyperspace came to my (sadly) three-dimensional brain. Please keep in mind that this node isn't supposed to define anything, it's just how I was able to visualize hyperspace as I know it. Bear with me here, I'm sure that because I'm a very young calc student, I'll get a jillion corrections. Anyhoo, here goes...

Anyone who has taken a calc (or even precalc) course should have a general idea of what integration (Or antidifferentiation as my old teacher, who carries the term from the Air Force Academy calls it) is. Hopefully you've got that down, because I am not going to cover it in this node.
Now using integration to find the area under a two-dimensional curve by DEFINITION is the limit of the sum of the area of little rectangular or trapazoidal or whatever areas as the change in x (dx) approaches zero. This can be applied to describe a two-dimensional space in terms of that limit of dx. If dx is approaching 0, then each slice effectively becomes a line segment, and therefore the two-dimensional space is made up of infinite one-dimensional line segments placed side by side.
This can further be applied to three-dimensional space. In that case, the three-dimensional space is just a bunch of two-dimensional spaces placed side by side.
At this point, it should hopefully be quite obvious as to what I'm getting at. Going by my previous examples, then any n-dimensional space can be described as an infinite number of (n-1)-dimensional spaces lined up side by side across the given interval, when the limit of the change in whatever relavant dimension approaches zero.



Am I harping on anything? Is this already covered in later courses (This is all going off of knowledge from my Calc AB class)? Do you have any suggestions or corrections? Message them to me, and if they are important to the meaning of the node, I'll add them! Please actually message them though, because just surfing some soft links on to the bottom of my node is mighty impersonal and counterproductive as far as getting the actual content of the node changed.

printable version
chaos

Your radical ideas about roman numerals have already occurred to others Shock and awe bombardment THE LOUD NODE Useful Number Theory functions in C
Two dimensional model of innovation E2 Nuke Request as a term has got to go soft link worst
bad lawnjart hyperspace Wah
Integration worse horrible solid angle
oh Dragula implicit function theorem Scorpius
Y'know, if you log in, you can write something here, or contact authors directly on the site. Create a New User if you don't already have an account.
  Epicenter
Login
Password

password reminder
register

Everything2 Help

Cool Staff Picks
Drink up!
On finding a wife
Some things Sensei has tried to teach me
Creating a password to convince yourself you have traveled back in time
How to survive against humans
What to read to a child
What it means to live "in the city" when you live in New Orleans
Do Not Shoot: Non-Combatant
pink triangle
Frankie Goes to Hollywood
Dutch
Buy a Gun
I called for the Emergency Destruct Plan
Christmas with the Super-Heroes
New Writeups
fallensparks
George's Marvellous Medicine(thing)
Ctrl Y
cognitive dissonance(fiction)
SharQ
Gone Baby Gone(review)
halfWit
If I could, I'd title this "Freedom"(thing)
Roninspoon
Airline Hero(thing)
Ktistec
Why Women Are Always Cold(person)
doctor wilson
Drug policy reform(thing)
tejasa
Easy Raspberry Cheesecake(recipe)
Joysim
Drug policy reform(idea)
aneurin
Tyburn(place)
niruena
Boiling to death(idea)
artman2003
summer(thing)
doctor wilson
The Silver City and the Silent Sea(log)
Dreamvirus
The Silver City and the Silent Sea(poetry)
Aerobe
A nihilist's soulmate(poetry)
This affordable entertainment brought to you by The Everything Development Company