The Chinese remainder theorem can be generalized to non-coprime moduli. Formal power series can be created from Taylor polynomials using formal moduli. Using distance moduli makes computing magnitudes easy. Equations for the section moduli of common shapes are given below. Bulk moduli, shear moduli, and elasticity are the key factors in the superhard classification process. The various moduli apply to different kinds of deformation. Similarly we also define shear storage and shear loss moduli, formula 15 and formula 16. These engineering moduli are experimentally determined. Mirzakhani made several contributions to the theory of moduli spaces of Riemann surfaces. A similar expression appears in the transversal vibrations of beams for the elastic moduli. Similarly we also define shear storage and loss moduli, formula 11 and formula 12. It describes new ideas for studying the moduli space of complex curves. A variant of moduli spaces are formal moduli. For formula 4 the Riemann surface has formula 5 parameters (the "moduli"). This is true for moduli of curves.