ADV math Flashcards

1
Q

sin^-1 z

A

-i ln (zi +- sqrt 1-z^2)

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2
Q

cos^-1 z

A

-i ln (z +- sqrt z^2 - 1)

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3
Q

csc^-1 z

A

-i ln (i +- sqrt z^2 - 1 divided by z)

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3
Q

tan^-1 z

A

i/2 ln (i+z/i-z)

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4
Q

sec^-1 z

A

-i ln (1+- sqrt 1-z^2 divided by z)

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5
Q

cot^-1 z

A

-i/2 ln (z+i /z-i)

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6
Q

sinh^-1 z

A

ln (z +- sqrt z^2+1)

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7
Q

cosh^-1 z

A

ln (z +- sqrt z^2-1)

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8
Q

sech^-1 z

A

ln (1+- sqrt z^2-1 divided by z)

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9
Q

tanh^-1 z

A

1/2 ln (1+z/1-z)

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10
Q

csch^-1 z

A

ln (1+- sqrt z^2+1 divided by z)

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11
Q

coth^-1 z

A

1/2 ln (1+z/z-1)

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12
Q

It is the process of transforming a function from real time domain to a new function in the complex frequency domain.

A

LAPLACE TRANSFORM

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13
Q

A sudden change in value from a given trend. An instantaneous value

A

IMPULSE

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14
Q

A sudden increase in value to a given trend

A

STEP

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15
Q

A gradual increase of value on a given time.

A

RAMP

16
Q
A