Talk:Laplace transform

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Text and/or other creative content from this version of Laplace transform was copied or moved into List of Laplace transforms with this edit on 15:33, 30 April 2016 (UTC). The former page's history now serves to provide attribution for that content in the latter page, and it must not be deleted as long as the latter page exists.

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article states often L is for managing imaginary[edit]

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[edit]

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)[reply]

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)[reply]

Integral Function is Potentially Confusing[edit]

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)[reply]

Initial/final value theorems[edit]

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)[reply]

Probability Theory[edit]

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)[reply]

Done

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

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