Table Of Contents



calculate-lie-bracket <x> <y> <z>                                        [options]
calculate-lie-bracket <xx> <xy> [<xz>] <yx> <yy> [<yz>] <zx> <zy> [<zz>] [options]


Computes the Lie bracket of two vector fiels \(z = [x, y]\).

Command options


Use Jacobian definition of the Lie bracket. (default)


Use difference of compositions: \(z = x(y) - y(x)\).

Standard options

-v, -verbose [n]

Increase/Set verbosity of output messages. (default: 0)

-debug [level]

Increase/Set debug level for output of intermediate results. (default: 0)

-version [major.minor]

Print version and exit or set version to emulate.


Print revision (or version) number only and exit.

-h, -help

Print help and exit.

Terminal options

-color, -nocolor

Enable/disable colored output. (default: off)

Parallelization options

-threads <n>

Use maximal <n> threads for parallel execution. (default: automatic)