The main equations that Solve and related Mathematica functions deal with are polynomial equations. It is easy to solve a linear equation in  x. One can also solve quadratic ...

Type Ctrl+DynamicBox[If[$OperatingSystem === MacOSX, T, D], ImageSizeCache -> {9., {0., 8.}}] or choose Graphics > Drawing Tools. For more information on each tool, click the ...

Mathematica provides a general mechanism for specifying constraints on patterns. All you need to do is to put /;condition at the end of a pattern to signify that it applies ...

Expectation[expr, x \[Distributed] dist] gives the expectation of expr under the assumption that x follows the probability distribution dist. Expectation[expr, x ...

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

A delay differential equation is a differential equation where the time derivatives at the current time depend on the solution and possibly its derivatives at previous times: ...

ContinuousWaveletTransform[{x_1, x_2, ...}] gives the continuous wavelet transform of a list of values x_i.ContinuousWaveletTransform[data, wave] gives the continuous wavelet ...

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...

VectorPlot3D[{v_x, v_y, v_z}, {x, x_min, x_max}, {y, y_min, y_max}, {z, z_min, z_max}] generates a 3D vector plot of the vector field {v_x, v_y, v_z} as a function of x, y, ...

Agglomerate[{e_1, e_2, ...}] gives an hierarchical clustering of the elements e_1, e_2, ....Agglomerate[{e_1 -> v_1, e_2 -> v_2, ...}] represents e_i with v_i in each ...