Ratings
=========


.. csv-table::

    ":math:`u` ", "continuous absolute displacement field"
    ":math:`K`, :math:`{K}_{i}^{n}` ", "stiffness matrix, tangent matrix"
    ":math:`M` ", "inertia matrix"
    ":math:`R` ", "vector of internal forces"
    ":math:`L` ", "vector second load member (linear form)"
    ":math:`{L}^{\mathrm{abso}}` :math:`{L}_{\mathrm{GR}}^{\mathrm{iner}}`, :math:`{L}^{\mathrm{anel}}` ", "second members respectively due to an absorbent border, to nonlinear inertial terms in large girder rotations, to anelastic chains (coming from control variables: temperature...)"
    ":math:`\mathrm{C}` ", "amortization matrix"
    ":math:`Q` ", "assembled deformation matrix"
    ":math:`{}^{t}V`...", "transposed from a :math:`V` vector: dual linear form..."
    ":math:`t`; :math:`\mathit{\Delta t}` ", "time; no time"
    ":math:`\alpha` ", "parameter of the time integration schema of the :math:`\alpha` method (and HHT)"
    ":math:`\beta ,\gamma` ", "NEWMARK time integration schema parameters"
    ":math:`\mathrm{\Delta }` ", "increment of various quantities over the time step"
    ":math:`\delta` ", "virtual variation of a field;
    increments of various magnitudes during correction iterations"
    ":math:`i`; :math:`n`; :math:`j` ", "time step index; NEWTON iteration index; component index"
    ":math:`\mathrm{\lambda },\mathrm{\mu }` ", "parameters of LAGRANGE: bond reactions, contact reactions"
    ":math:`\mathrm{U},\dot{\mathrm{U}},\ddot{\mathrm{U}}` ", "vector degrees of freedom of movement and successive derivatives with respect to time"
    ":math:`\mathrm{P}` ", "vector degrees of freedom of barotropic fluid pressure disturbances"
    ":math:`\mathrm{\varphi }` ", "vector degrees of freedom of barotropic fluid displacement disturbance potential"
    ":math:`\mathrm{\Phi }` ", "configuration: position vector: :math:`\mathrm{x},\mathrm{y},\mathrm{z}` and possibly rotation vector, and other fields parameterizing the system"
    ":math:`\dot{\mathrm{\Phi }}` ", "time derivative of the :math:`\mathrm{\Phi }` configuration with respect to time: translation speed and possibly angular speed"
    ":math:`\ddot{\mathrm{\Phi }}` ", "time derivative of :math:`\dot{\mathrm{\Phi }}` with respect to time: translational acceleration and possibly angular acceleration"
    "", "Repeated Index Convention: :math:`{U}_{d}^{k}\left(t\right){\mathrm{\Psi }}_{\mathrm{k}}=\sum _{k}{U}_{d}^{k}\left(t\right){\mathrm{\Psi }}_{\mathrm{k}}`"