UnitStep [x1, x2, ...] represents the multidimensional unit step function which is 1 only if none of the xi are negative.

3 days ago · The Heaviside function (also known as a unit step function) models the on/off behavior of a switch; e.g., when voltage is switched on or off in an electrical circuit, or when a …

Jun 21, 2015 · I want to smooth a unit step function for use in NDSolve so this function is a smooth function of time (t). How can I do the smoothing? The unit step function is defined by: …

Heaviside step function Traditional notation qHxL Mathematica StandardForm notation UnitStep@xD Primary definition 14.01.02.0001.01 qHxL−1’;x˛Rßx‡0 14.01.02.0002.01 …

Sep 27, 2019 · All what UnitStep does, is it looks at its argument. If the argument is less than zero, it returns 0, else it returns 1. In your second plot, the argument is 6*t-24. So when t>=4 it …

Tan[Interval[{1, 2}]] returns disjoint intervals Interval[{-Infinity, Tan[2]}, {Tan[1], Infinity}]. If UnitStep worked correctly with Interval, UnitStep[Interval[{a, b}]] would return the range of values of …

May 5, 2022 · Your system creates Indeterminate s at x==0 (and another value defined by your parameters) due to your defition of UnitSteps inside of derivatives. Pluggin them to 0 (or any …

Oct 27, 2023 · Running the code for I1, in few seconds, I get the following output: (24. a^3 La^2 Lb Lc λ^( La + Lb + Lc))/((La + Lb + Lc)^3 ρ^2) As you can see in the last example I also tried …

Jul 22, 2019 · I want to plot a discrete function in mathematica like, for example, the following: X=[X1,x2,X3]and Y = {1 if X<=X1,20 if X1< X<=X1+X2,40 if X1+X2< X<=X1+X2+X3} In …

UnitStep2 Notations Traditional name Multivariate Heaviside step function ?? Traditional notation qHx1,x2,…L Mathematica StandardForm notation UnitStep@x1,x2,…D Primary definition