A term of endearment used between friends that implies the person has been involved in something mischievous.
by C. Aleccia February 26, 2008
Get the Chain Dog mug.The condition of not being able to fully enjoy most forms of storytelling/media after reading something objectively excellent
Man I just couldn't get through this garbage, it all seems so bleak 'cause of the chainsaw man effect
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A particular class of douchebag who usually wears a gold chain with extra douchosity. A player. Very sleazy sometimes also has a 70's porn moustache. Warning: Even if personality & looks seem ok, a gold chain tells the real story. Steer clear at all costs.
by samiam11 June 20, 2011
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Get the cut the chain mug.In calculus, the chain rule is used to differentiate compositions of functions. It states that for any function f which is dependent on a variable u, and u is a function of a second variable x, then f is a function of x.
In Set Theory:
f(u)=u V u(x)=x V Vf(x)
In Calculus:
df/dx = du/dx(dx/du)
In Set Theory:
f(u)=u V u(x)=x V Vf(x)
In Calculus:
df/dx = du/dx(dx/du)
to differentiate (x+1)^2, one could multiply this out and apply the sum rule (derivative of a sum is the sum of the derivatives); but what if it were (x+1)^55? Suddenly the multipling out doesn't look so nice. To apply the chain rule, we must first define the functions. Let f(x)=(x+1)^55 and u=(x+1). Therefore f(x)=u^55. By the chain rule:
df/dx = df/du(du/dx)
df/dx = d/du(u^55)(du/dx)
df/dx = 55u(du/dx)
We earlier defined the variable "u" as (x+1). Now we substitute this in.
df/dx = 55(x+1)d/dx(x+1)
df/dx = 55x+55(1)
df/dx = 55x+55
df/dx = df/du(du/dx)
df/dx = d/du(u^55)(du/dx)
df/dx = 55u(du/dx)
We earlier defined the variable "u" as (x+1). Now we substitute this in.
df/dx = 55(x+1)d/dx(x+1)
df/dx = 55x+55(1)
df/dx = 55x+55
by Gladwarez July 10, 2006
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