Notations
=========


.. csv-table::

    ":math:`\Phi (\cdot )` ", ":", "Free energy potential"
    ":math:`\underline{\underline{ϵ}}` ", ":", "Deformation tensor"
    ":math:`\underline{\underline{\sigma }}` ", ":", "Stress tensor"
    ":math:`\Omega` ", ":", "Domain occupied by the structure"
    ":math:`\stackrel{̃}{u}` ", ":", "Boundary conditions when moving on edge :math:`{\delta }_{u}\Omega`"
    ":math:`\stackrel{̃}{f}` ", ":", "Boundary conditions in effort on the edge :math:`{\delta }_{f}\Omega`"
    ":math:`\underline{\underline{C}}` ", ":", "Hooke tensor"
    ":math:`u` ", ":", "Travel field"
    ":math:`\Re (\cdot )` ", ":", "Real part"
    ":math:`{\xi }_{\omega }^{2}` ", ":", "Drüker error under a frequential formalism"
    ":math:`(u,v,w)` ", ":", "Triple of eligible fields associated with the ERC problem."
    ":math:`{e}_{\omega }^{2}` ", ":", "Functional ERC under an EF formalism in the field of linear dynamics under frequency writing."
    ":math:`\omega` ", ":", "Clean pulse"
    ":math:`f` ", ":", "Frequency"
    ":math:`[K]` ", ":", "EF stiffness matrix"
    ":math:`[M]` ", ":", "EF mass matrix"
    ":math:`[{G}_{r}]` ", ":", "Positive definite norm matrix"
    ":math:`[H]` ", ":", "Observation matrix"
    ":math:`\Psi` ", ":", "Clean mode"
    ":math:`\alpha` ", ":", "Parameter for the regularization type of the ERC functional."
    ":math:`\gamma` ", ":", "Parameter of the weighting type of the ERC functional."
    ":math:`\widehat{u}` ", ":", "Measured field of movement."
    ":math:`A` ", ":", "Matrix associated with solving the ERC problem."
    ":math:`l` ", ":", "Vector of unknowns associated with solving the ERC problem."
    ":math:`b` ", ":", "Second member associated with solving the ERC problem."