+ -- - + +The Lorenz Equations
+Sample MathJax Equations
+ ++ ++The Lorenz Equations
\begin{align} @@ -37,14 +52,14 @@ If your browser supports JavaScript, be sure it is enabled. \end{align}
-The Cauchy-Schwarz Inequality
+The Cauchy-Schwarz Inequality
\[ \left( \sum_{k=1}^n a_k b_k \right)^{\!\!2} \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) \]
-A Cross Product Formula
+A Cross Product Formula
\[ \mathbf{V}_1 \times \mathbf{V}_2 = @@ -55,11 +70,11 @@ If your browser supports JavaScript, be sure it is enabled. \end{vmatrix} \]
-The probability of getting \(k\) heads when flipping \(n\) coins is:
+The probability of getting \(k\) heads when flipping \(n\) coins is:
\[P(E) = {n \choose k} p^k (1-p)^{ n-k} \]
-An Identity of Ramanujan
+An Identity of Ramanujan
\[ \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} = @@ -67,7 +82,7 @@ If your browser supports JavaScript, be sure it is enabled. {1+\frac{e^{-8\pi}} {1+\ldots} } } } \]
-A Rogers-Ramanujan Identity
+A Rogers-Ramanujan Identity
\[ 1 + \frac{q^2}{(1-q)}+\frac{q^6}{(1-q)(1-q^2)}+\cdots = @@ -75,7 +90,7 @@ If your browser supports JavaScript, be sure it is enabled. \quad\quad \text{for $|q|<1$}. \]
-Maxwell's Equations
+Maxwell's Equations
\begin{align} @@ -86,6 +101,8 @@ If your browser supports JavaScript, be sure it is enabled. \end{align}
+In-line Mathematics
+Finally, while display equations look good for a page of samples, the ability to mix math and text in a paragraph is also important. This expression \(\sqrt{3x-1}+(1+x)^2\) is an example of an inline equation. As @@ -93,7 +110,7 @@ you see, MathJax equations can be used this way as well, without unduly disturbing the spacing between lines.
-