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