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Everything about Heaviside step function
Indicator function of positive numbers
The Heaviside step function, or the unit step function, usually denoted by H or θ, is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments. Different conventions concerning the value H(0) are in use. It is an example of the general class of step functions, all of which can be represented as linear combinations of translations of this one. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Heaviside step functionA 5-minute orientation
- Skim a recent paper: Finite Elements with Switch Detection for numerical optimal control of nonsmooth dynamical systems with set-valued heaviside step functionsInfluential work since 2022
- Read the landmark paper: Analysis and Design of a $k$-Winners-Take-All Model With a Single State Variable and the Heaviside Step Activation FunctionCited 101 times
- Go sideways: Dirac delta functionA closely related topic
- Go sideways: Sign functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Analysis and Design of a $k$-Winners-Take-All Model With a Single State Variable and the Heaviside Step Activation Function
On the Hausdorff distance between the Heaviside step function and Verhulst logistic function
Direct approach to density functional theory: iterative treatment using a polynomial representation of the Heaviside step function operator
Spline adaptive filtering algorithm based on Heaviside step function
Derivative of Heaviside step function vs. delta function in continuum surface force (CSF) models
XFEM Analyses Using Two-Dimensional Quadrilateral Elements Enriched with Only the Heaviside Step Function
Three-dimensional crack analyses under thermal stress field by XFEM using only the Heaviside step function
AN ANALYTIC EXACT FORM OF HEAVISIDE STEP FUNCTION
🆕 Influential since 2022
Finite Elements with Switch Detection for numerical optimal control of nonsmooth dynamical systems with set-valued heaviside step functions
Representing logic gates over Euclidean space via heaviside step function
Analysis of electric field in inclined dielectric media by heaviside unit-step function
Modelling of stress relaxation under one-step deformation of nonlinear viscoelastic materials using the Heaviside function
📚 Books worth reading
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🔗 Related topics
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