ADV math Flashcards
sin^-1 z
-i ln (zi +- sqrt 1-z^2)
cos^-1 z
-i ln (z +- sqrt z^2 - 1)
csc^-1 z
-i ln (i +- sqrt z^2 - 1 divided by z)
tan^-1 z
i/2 ln (i+z/i-z)
sec^-1 z
-i ln (1+- sqrt 1-z^2 divided by z)
cot^-1 z
-i/2 ln (z+i /z-i)
sinh^-1 z
ln (z +- sqrt z^2+1)
cosh^-1 z
ln (z +- sqrt z^2-1)
sech^-1 z
ln (1+- sqrt z^2-1 divided by z)
tanh^-1 z
1/2 ln (1+z/1-z)
csch^-1 z
ln (1+- sqrt z^2+1 divided by z)
coth^-1 z
1/2 ln (1+z/z-1)
It is the process of transforming a function from real time domain to a new function in the complex frequency domain.
LAPLACE TRANSFORM
A sudden change in value from a given trend. An instantaneous value
IMPULSE
A sudden increase in value to a given trend
STEP
A gradual increase of value on a given time.
RAMP