Cage may refer to:
A rolling-element bearing, also known as a rolling bearing, is a bearing which carries a load by placing rolling elements (such as balls or rollers) between two bearing rings called races. The relative motion of the races causes the rolling elements to roll with very little rolling resistance and with little sliding.
One of the earliest and best-known rolling-element bearings are sets of logs laid on the ground with a large stone block on top. As the stone is pulled, the logs roll along the ground with little sliding friction. As each log comes out the back, it is moved to the front where the block then rolls on to it. It is possible to imitate such a bearing by placing several pens or pencils on a table and placing an item on top of them. See "bearings" for more on the historical development of bearings.
A rolling element rotary bearing uses a shaft in a much larger hole, and cylinders called "rollers" tightly fill the space between the shaft and hole. As the shaft turns, each roller acts as the logs in the above example. However, since the bearing is round, the rollers never fall out from under the load.
In the mathematical area of graph theory, a cage is a regular graph that has as few vertices as possible for its girth.
Formally, an (r,g)-graph is defined to be a graph in which each vertex has exactly r neighbors, and in which the shortest cycle has length exactly g. It is known that an (r,g)-graph exists for any combination of r ≥ 2 and g ≥ 3. An (r,g)-cage is an (r,g)-graph with the fewest possible number of vertices, among all (r,g)-graphs.
If a Moore graph exists with degree r and girth g, it must be a cage. Moreover, the bounds on the sizes of Moore graphs generalize to cages: any cage with odd girth g must have at least
vertices, and any cage with even girth g must have at least
vertices. Any (r,g)-graph with exactly this many vertices is by definition a Moore graph and therefore automatically a cage.
There may exist multiple cages for a given combination of r and g. For instance there are three nonisomorphic (3,10)-cages, each with 70 vertices : the Balaban 10-cage, the Harries graph and the Harries–Wong graph. But there is only one (3,11)-cage : the Balaban 11-cage (with 112 vertices).
* I was mislead, but once I found the way
I convinced a group of 19 that they should drown today
How I flipped it, clipped it after madness
Then the dead came back and haunted the wrong address
Cause they some stupid dead motherfuckers
Just like all you bitches, all Weathermen fluffers
And I get my shoes polished
By the best open mic emcees paying Timbaland's homage
In this day and age
If your deck ain't playing Cage
You probably disgruntled your Mrs. Funnel mayonnaise
Or I ain't get the right palm
My whole career been a upstream kayak through blood
My tools love, seeing the face of opponents
Seconds before they scull and wig savor the moment
Light up a Jay, cast silence over Bob
And hair stuck on the ground, shit I might as well rob the dead
[Chorus]
Hear this to the DJ then track the clubs
Lift the cover of my CD then see what acid does
Don't just stand there looking like some average thugs
If there's a chick standing next to you then grab her jugs
And if you ain't grabbin' the dough when they ass below
Then you come back to the crib wearin' a mask and gloves
Then you go back to the club stinkin' of ass and blood
Joke some kid up diggin' pockets and snatch the drugs
I a backwards education
Studied some chick with broken navigation
All this anti-Cage demonstratin'
I don't pray to Satan
I pray on agents makin'
Shapeable minds
Capable of firing traceable 9's
But not at any kegs that make they snout's see
I don't know what I wrote till' I spit and my mouth bleeds
Look, more patterns to market
Not even naming I'm standin' a walkin' target with shoppers that look at me
awkward
Granted I got a canon and my freakin' mouth's leakin'
Cause my crew put more dust in the air than house keeping
If you sleeping you're getting woke the fuck up
Like you're parents while you bought this and smoke the fuck up
With some much rhymin' in the NYC
I carry 9 millimeter in the back of Taxi
While I thought music prevented GOB servants
And a cycle of brain wash entertainments to detergent
[Chorus]
If my thought patterns
Brought palans to Walt Adams
And spit violence and death, then kids start gaddin'
Bloody ear canal
Hold it down with a towel
Cause by the time the verse hatch your stomach's hangin' out
We got a verse on the loose, let's get these mouth zippers
Buy six drinks a night then wake up and wear 'em as house slippers
I'm just fuckin' with you bitch, don't get offended
This ain't your average anti-pop record with a happy ending
Go ask your block
School body and bastard pops
How the fuck you get your hands on acid drops
Music television repellent for kids with extreme views
Start torchin' labs to light the team's fuse
I've gotten plottin', rotten ? been chewing
I keep my hands in it with no tangible influence
Whether a Clockwork Orange or a murderous night
A book of what my pops did to Tony Burgess's wife