Talk:Laplace transform

article states often L is for managing imaginary

No. It was investigated as to if it impacts imaginary and how: but was and is not used with imaginary numbers particularly. I could say D or Dx are for managing imaginary numbers. But neither are they to any extent except in afterthought.

Readability

The occurrence of many Heaviside stepfunctions $u(t)$ in the table "selected Laplace transforms" is redundant and only makes sense if one considers the two-sided Laplace transform. — Preceding unsigned comment added by Hart15 (talk • contribs) 09:46, 30 January 2022 (UTC)

Please put new talk page messages at the bottom of talk pages and sign your messages with four tildes (~~~~) — See Help:Using talk pages. Thanks. - DVdm (talk) 10:22, 31 January 2022 (UTC)

Integral Function is Potentially Confusing

The transform of the integral function is shown as:

$\int _{0}^{t}f(\tau )d\tau =(u*f)(t)$

While correct mathematically, why have the convolution on the right side? I don't think it adds much and potentially confuses new readers.

https://proofwiki.org/wiki/Laplace_Transform_of_Integral

Tables of Laplace transforms don't generally write it like this. Rhodydog (talk) 20:27, 24 February 2023 (UTC)

Initial/final value theorems

Can someone explain what it means for a complex number to go to infinity? I could understand |s| -> inf or Re(s) -> but just s? 138.232.68.221 (talk) 08:53, 31 March 2023 (UTC)

Probability Theory

It would be welcome to have $E$ defined. Can someone please edit to provide a proper definition for those who are trying to read/understand/use as reference? — Preceding unsigned comment added by DrKC MD (talk • contribs) 18:05, 15 February 2024 (UTC)

• Done

Constant314 (talk) 18:17, 15 February 2024 (UTC)

• • Thanks, but did you mean to say $E[r]$ for some random value $r$? — Preceding unsigned comment added by DrKC MD (talk • contribs) 22:29, 15 February 2024 (UTC)

    No. $r$ is a random variable. Constant314 (talk) 23:39, 15 February 2024 (UTC)