Two ways to set up automatic numbering in a Mathematica notebook. These cells are in DisplayFormulaNumbered style. DisplayFormulaNumbered style is available in the default ...

To control how a 3D surface responds to simulated light, set its reflection properties. Mathematica lets you control the diffuse reflection of light on a matte surface and ...

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

Why You Do Not Usually Need to Know about Internals Basic Internal Architecture The Algorithms of Mathematica

 

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

Mathematica's unified symbolic architecture immediately allows it to perform structural transformations not only on objects like lists, but also on general symbolic ...

Differentiating a known function gives an explicit result. Differentiating an unknown function f gives a result in terms of f'. Mathematica applies the chain rule for ...

Particularly when you write procedural programs in Mathematica, you will often need to modify the value of a particular variable repeatedly. You can always do this by ...