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Step and Delta Functions - Coggle Diagram
Step and Delta Functions
Heaviside Function
Piecewise constant function
u(t) = 0 if t < 0 u(t) = 2 if t > 0
Used to construct more complex discontinuous functions
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Circuits
Sudden disturbance
Ficencial Modeling
Quality Control
Mechanical Systems
Delta Function
Infinite spike at the origin
Area under the spike is equal to 1
Represents impulsive or instantaneous events
Signal Processing
Impulse Modeling
Quantum Mechanics
used to represent quantum states E.g: position and momentum representations
1st order Diff. Equations