Mathematica gives you the power to visualize functions of two variables in multiple ways, including three-dimensional parametric plots, spherical plots, polar plots, and ...

DemandIndex

Abs[z] gives the absolute value of the real or complex number z.

Raster[{{a_11, a_12, ...}, ...}] is a two-dimensional graphics primitive which represents a rectangular array of gray cells. Raster[{{{r_11, g_11, b_11}, ...}, ...}] ...

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

lhs := rhs assigns rhs to be the delayed value of lhs. rhs is maintained in an unevaluated form. When lhs appears, it is replaced by rhs, evaluated afresh each time.

StreamDensityPlot[{{v_x, v_y}, s}, {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, superimposed on a ...

Making lists from functions. This makes a list of 5 elements, each of the form p[i]. Here is another way to produce the same list.

This gives a result for the integral of x^n that is valid for almost all values of n. For the special case of x^-1, however, the correct result is different. The overall goal ...

Relational operators. This tests whether 10 is less than 7. The result is False. Not all of these numbers are unequal, so this gives False.