1. One complication concerning is that its defining equation is not generally solvable. 2. The degree of an hypersurface is equal to the total degree of its defining equation . 3. This is usually taken to be the constitutive relation ( defining equation ) of the inductor. 4. An important class of varieties, not easily understood directly from their defining equations , are the group. 5. Left and right division are examples of forming a quasigroup by permuting the variables in the defining equation . 6. A defining equation is used to define a number of quantities in terms of a number of others. 7. The resistivity of these materials changes with strain, accounting for the first term of the defining equation above. 8. After solving for the eigenvalues, the eigenvectors corresponding to the eigenvalues can be found by the defining equation . 9. Well defined equations of state are needed when adjusting temperature and pressure, two parameters that affect the lattice parameters of materials. 10. In the latter, the defining equations respect the symmetry but the ground state ( vacuum ) of the theory breaks it.
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