| 31. | An bosonic string that produces a scalar field term into the effective theory at low energies.
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| 32. | For a scalar field theory with spacetime dimensions, the only dimensionless parameter satisfies = } }.
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| 33. | SU2 supports continius and discrete adjoint for calculating the sensitivitys / gradients of a scalar field.
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| 34. | Many of these use the paper to model the distribution of electric and other scalar fields.
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| 35. | A field can be classified as a scalar field, a vector field, a quantum operators respectively.
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| 36. | The field equation for a charged scalar field multiplies by, which means the field must be complex.
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| 37. | For a surface S in a scalar field u, the surface gradient is defined and notated as
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| 38. | When we vary with respect to the scalar field \ phi, we obtain the first field equation.
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| 39. | Therefore, in the ? coordinate the scalar field and the vector field are described by the functions
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| 40. | Contributions from scalar fields that are constant in space are usually also included in the cosmological constant.
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