ThreeJSymbol[{j_1, m_1}, {j_2, m_2}, {j_3, m_3}] gives the values of the Wigner 3-j symbol.

StreamPlot[{v_x, v_y}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y. StreamPlot[{{v_x, v_y}, {w_x, ...

The default behavior for a function in Mathematica is carefully chosen to be suitable for the vast majority of cases. Mathematica also gives you fine-grained control over the ...

Palettes are like extensions of your keyboard. They can be used to perform many actions in Mathematica, including entering typesetting characters, styling notebooks, and ...

In Mathematica, dialog boxes are customized notebooks used to provide users with information and/or request user input. There are two properties associated with dialogs. ...

FindRoot[f, {x, x_0}] searches for a numerical root of f, starting from the point x = x_0.FindRoot[lhs == rhs, {x, x_0}] searches for a numerical solution to the equation lhs ...

The way modules work in Mathematica is basically very simple. Every time any module is used, a new symbol is created to represent each of its local variables. The new symbol ...

Coth[z] gives the hyperbolic cotangent of z.

Cot[z] gives the cotangent of z.

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...