| 41. | This definition is also valid if f is merely continuous, not differentiable.
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| 42. | These definitions extend to differential maps between differentiable manifolds in the following way.
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| 43. | This is the standard way differentiable manifolds are defined.
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| 44. | Any differentiable manifold can be given a Riemannian structure.
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| 45. | Each fiber is a non-compact differentiable manifold of real dimension 2n.
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| 46. | For every twice differentiable, harmonic and nonnegative function u ( x ).
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| 47. | For any differentiable scalar \ phi and vector \ mathbf { A }.
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| 48. | The term " regular " may be taken to mean " differentiable ".
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| 49. | If is differentiable at then the first order partial derivatives exist at and:
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| 50. | The function F is well behaved, it is continuous and differentiable everywhere.
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