| 31. | :First question : can an odd function be invertible at all?
|
| 32. | So, of the two, only odd functions can be invertible.
|
| 33. | To be invertible a function must be both an injection and a surjection.
|
| 34. | This function is not invertible for reasons discussed above.
|
| 35. | Injections are " reversible " but not always invertible.
|
| 36. | An operator may be injective, even bounded below, but not invertible.
|
| 37. | The relation between the coordinates is then given by the invertible transformation functions:
|
| 38. | Tornado was also invertible, allowing it to continue running even when flipped.
|
| 39. | Groups are monoids for which every morphism is invertible.
|
| 40. | That would still guarantee no collisions ( because block ciphers are invertible ).
|