TABLE OF CONTENTS | Symbol | Meaning |
|---|---|
|
| dot product |
| ? | there exists |
| ? | for all |
| ? | infinity |
| ? | element |
| ? | not in |
| s.t. | such that |
| | real numbers |
| | m-dimensioned real numbers |
| ? | union |
| ? | intersection |
| \ | set difference |
| ? | implies. p ? q is p implies q |
| ? | if and only if |
| S 1 | a circle |
| ? | gradient |
| D | differential or distance to closest obstacle (depending on context) |
| d i | distance to obstacle i in either the workspace or configuration space (depending on context) |
| d( x, y) | distance between the two points x and y |
| Null | null space |
| O( n) | order of n |
| J | Jacobian |
| ? | Christoffel symbol |
| RM | roadmap |
| | workspace |
| | configuration space |
| | free space |
| x( k) | state at time k |
| x | norm of x |
| ? | subset of |
| ? | strict subset of |
| cl( A) | closure of A |
| T n | n-dimensional torus |
| S n | n-dimensional sphere in |
| SO( n) | special orthogonal group |
| SE( n) | special Euclidean group |
| B ?( q) | open ball of radius ? centered at q |
| Df | differential of f |
| ? f | gradient of f |
| ? | affine connection |
| ? Y 1 Y 2 | covariant derivative of Y 2 with respect to Y 1 |
| C 0 | continuous |
| C n | n times differentiable |
| ? x, y ? | inner product of x and y |
| | identity matrix |
| atan2( y, x) | returns angle to ( x, y) in the plane in... |
