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1.1 The \section{A Generic Framework to Quantify Materials Science Information}  \subsection{The  Microstructure Function Function}  The microstructure function expresses spatially resolved material structure information from physics-based models as digital signals. A physics-based model extracts material structure-response behaviors with either simulated simulation or empirical experimental techniques; materials information generated by either technique, or source, are uniquely identified by a set of boundary conditions and control parametersset of modeling conditions (i.e. control parameters). In a model,A model includes spatially resolved raw model information is outputabout the material structure, β(x), as either an input or output with local material states, β, at disparate positions, x, in the sample volume, L. The sample volume has dimensions L_1×⋯×L_d where d is the dimensionality of the dataset; the dimensionality corresponds to the number of independent axes in the spatial domain and will have the property, d≤3. The local material state is an ordered set of salient material features such as phase, classification, grain orientation, volume fraction, spin, curvature, etc. The generality of the local material state definition enables a framework to describe most material information from most sources. The microstructure function digitizes the raw model information by the following equation  EQUATION