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Q7: the Heaviside step function H(t) - Coggle Diagram
Q7: the Heaviside step function H(t)
Oliver Heaviside
mathematician and electrical engineer
the Dirac delta function: δ(t)
applications
quantization of electromagnetic fields
electrical circuits modeling
image processing based on system of differential equations
solid mechanics
algorithms to extract cancer cells
sigmoidal approximations in neural lattice models
dy/dt = ay + H(t)
linear input to 1st order ODEs
shifted Heaviside: H(t-T)
constantly contributes to growth at time t>=T
discrete function
unifies discontinuous phenomena
dx/dt =120t [1-
H(t-0.5)
]+60
H(t-0.5)
