What is the command for the Weierstrass p function, ℘?

Question

I'd like to write the following equation:

I don't know which symbol is used for the P in the numerator. I have tried \mathcal{}, \mathfrak{}, and \mathsrc{}, but it wasn't any of these.

Could someone also recommend notation to describe the power density vector?

Always try the Detexify website as described in this question/answer. https://tex.stackexchange.com/questions/485484 — James, May 30 '19 at 18:36

score 7 · Accepted Answer · edited May 30 '19 at 19:34

7

It is the notation for ‘Weierstraß' elliptic function’, called ‘Weierstraß P’, and obtained with the command \wp. It is in particular used for the parameterisation of elliptic cubic curves.

edited May 30 '19 at 19:34

siracusa

13,411

answered May 30 '19 at 17:53

Bernard

271,350

1

On StackExchange, it's best to always create a new question, instead of adding questions in comments. You may, however, find that this post answers your question. – Coby Viner May 30 '19 at 18:02
1

You can increase it slighly with \mathlarger{\wp} (from the relsize package), or with something like, say, \text{\Large$\wp$}. – Bernard May 30 '19 at 18:02
2

@Bernard - Unless one is writing in german, it's perfectly ok to write "Weierstrass" rather than "Weierstaß". :-) – Mico May 30 '19 at 18:24
1

@Mico: Actually, I'd love to have the long s ligatures on my keyboard, but they seem to be unavailable… ;o) – Bernard May 30 '19 at 18:38
1

Yes, it should be used for the Weierstraß p function, but it's abused by several authors. – egreg May 30 '19 at 19:41

score 3 · Answer 2 · answered May 30 '19 at 19:35

As correctly indicated to you by the excellent users @barbara beeton both @Bernard the symbol to use is \wp. If I can help you, I have also inserted a code where I have used the clone of Times New Roman both in mathematical mode and in text mode.

\documentclass[a4paper,12pt]{article}
\usepackage{amsmath,amssymb}
\usepackage{newtxtext,newtxmath}
\begin{document}
\[D_H=\frac{\wp_{\max}}{P_{\text{rad}}/4\pi r^2}\]
\end{document}

Davislor · Answer 3 · 2019-05-30T22:50:00.150

2

Additionally, the symbol ℘ for the Weierstrass elliptic function is in Unicode as U+2118. You can paste it directly into your source with unicode-math, of use \wp.

With legacy font packages, you can still define ℘ as \wp using newunicodechar (or inputenc).

edited May 30 '19 at 22:50

answered May 30 '19 at 22:36

Davislor

44,045

What is the command for the Weierstrass p function, ℘?

3 Answers3

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