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I.4.4 Derivation monadic methods

All the methods presented in this section are devoted to the production of new results by performing operations on the values of the Result object to which they are applied. Each method produces Results with as many pairs “key-values” as in the Result object to which it is applied, but the number of components associated to each key may be different than the original number of components. Indeed, the original Result and derived Result have not necessarily a same tensor order.

Most of the methods presented below have only one argument: a Method String object corresponding to the algorithm of derivation. The use of the methods defined below leads sometimes to very heavy notations for simple or very often used operations. Therefore, short-cuts to some methods have been defined in the “Post” module (Chapter I.6).

  I.4.4.1 “deriveScalToScal” method
  I.4.4.2 “deriveScalPerComponent” method
  I.4.4.3 “deriveVectorToOneScal” method
  I.4.4.4 “deriveVectorToVector” method
  I.4.4.5 “deriveVectorToTensor” method
  I.4.4.6 “deriveTensorToOneScal” method
  I.4.4.7 “deriveTensorToTwoScals” method
  I.4.4.8 “deriveTensorToThreeScals” method
  I.4.4.9 “eigenQR” method
  I.4.4.10 “deriveByRemapping” method