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| 1 : | jhr | 5 | Type syntax |
| 2 : | |||
| 3 : | Let T<[d1, …, dn], ty> be a tensor of order n with dimensions d1, … dn | ||
| 4 : | |||
| 5 : | Let DATA_m<[d1, …, dn], ty> be a tensor dataset of m dimensions | ||
| 6 : | |||
| 7 : | Let F_m<[d1, …, dn], ty> be a tensor field of m dimensions | ||
| 8 : | |||
| 9 : | Basic operations: | ||
| 10 : | |||
| 11 : | The gradient of a scalar field | ||
| 12 : | |||
| 13 : | D : F_m<[], ty> -> F_,<[m], ty> | ||
| 14 : | |||
| 15 : | The Hessian of a scalar field | ||
| 16 : | |||
| 17 : | D o D : F_m<[], ty> -> F_,<[m,m], ty> | ||
| 18 : | |||
| 19 : | The eigenvalues of a symmetric matrix | ||
| 20 : | |||
| 21 : | lambda : F_m<[d,d], ty> -> F_m<[d], ty> | ||
| 22 : | |||
| 23 : | Patterns: | ||
| 24 : | |||
| 25 : | jhr | 6 | The eigenvalues of the Hessian |
| 26 : | |||
| 27 : | lambda o D o D |
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