By using masked arrays you can avoid plotting selected regions of a curve. To remove the singularity at x=2: import matplotlib.numerix.ma as M # for older versions, prior to .98 #import numpy.ma as M # for newer versions of matplotlib from pylab import * figure() xx = np.arange(-0.5,5.5,0.01) vals = 1/(xx-2) vals = M.array(vals) mvals … Read more
A couple of people have suggested eqnarray which will work, but a better approach is the align environment in the amsmath package. \begin{align*} something \\ something else \end{align*} If you want the two parts aligned in some way, use an & as described in the amsmath documentation.
Since you’ve tagged this question with sympy, I will give such an example. From the documentation: http://docs.sympy.org/latest/modules/plotting.html. from sympy import var, plot_implicit var(‘x y’) plot_implicit(x*y**3 – y*x**3)
In conventional mathematical notation, your equation is The SciPy fsolve function searches for a point at which a given expression equals zero (a “zero” or “root” of the expression). You’ll need to provide fsolve with an initial guess that’s “near” your desired solution. A good way to find such an initial guess is to just … Read more
How about SymPy? Their solver looks like what you need. Have a look at their source code if you want to build the library yourself…
Python’s own internal compiler can parse this, if you use Python notation. If your change the notation slightly, you’ll be happier. import compiler eq= “sin(x)*x**2” ast= compiler.parse( eq ) You get an abstract syntax tree that you can work with.
The other answers are out-of-date. As of 2012, beautiful math is easy to write and render. The technology is called MathJax. You can see it in quiet action on MathOverflow and hundreds of math blogs. MathJax is an open source JavaScript display engine for mathematics that works in all modern browsers. No more setup for … Read more
First of all, you probably don’t want the align environment if you have only one column of equations. In fact, your example is probably best with the cases environment. But to answer your question directly, used the aligned environment within equation – this way the outside environment gives the number: \begin{equation} \begin{aligned} w^T x_i + … Read more
Try mathjax http://www.mathjax.org/ . I personally find it very good.
You can label each line separately, in your case: \begin{align} \lambda_i + \mu_i = 0 \label{eq:1}\\ \mu_i \xi_i = 0 \label{eq:2}\\ \lambda_i [y_i( w^T x_i + b) – 1 + \xi_i] = 0 \label{eq:3} \end{align} Note that this only works for AMS environments that are designed for multiple equations (as opposed to multiline single equations).