Math & Science ⇒ Questions about Equations and Terms

[cloud28]

Hi, I am a beginner just starting to learn LaTeX, I have a couple of questions:

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First, how do I type St with t as a subscript?

Second, how do I type the first equation? I need something like
dSt = u S dt + v S dWt

For this I typed:

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\begin{equation}\label{GMB}
{dS$_t$} = u\S\{dt} + v\S\{dW$_t$}
\end{equation}

but didn't work?

Thanks so much!

[localghost]

Regarding math typesetting you need to do some basic reading [1]. Advanced stuff can be found in the excellent »Math mode« document.

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\documentclass[11pt]{article}
\usepackage[T1]{fontenc}
\usepackage{mathtools}   % loads »amsmath«
\usepackage{xfrac}
\usepackage{fix-cm}

\begin{document}
  \[
    dS_t=u\,S\,dt+v\,S\,dW_t
  \]
  \[
    S_t=S_0\exp\left[\left(u-\sfrac{v^2}{2}\right)t+vW_t\right]
  \]
\end{document}

The second equation has been tweaked by the xfrac package for typesetting a nice fraction.

[1] View topic: LaTeX Resources for Beginners


Best regards and welcome to the board
Thorsten

[cloud28]

Thanks so much for the fast reply, I eventually figured it out!

I have one more question, how do I type a dot multiplication symbol in text rather than using the new equation parameters?

for example (u - v "dot" v/2)

Thanks so much!

[localghost]

Since your struggling with those elementary things, I again strongly recommend some basic reading.

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\[
  (u - v \cdot \frac{v}{2})
\]