| 41. | As a generalised function, the second derivative may be taken as two times the Dirac delta function.
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| 42. | The second derivative of Ritz's equation is
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| 43. | On the graph of a function, the second derivative corresponds to the curvature or concavity of the graph.
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| 44. | This generates so much hash ( noise ) that the second derivative ( acceleration ) was uselessly inaccurate.
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| 45. | Then the convexity would be the second derivative of the price function with respect to the interest rate.
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| 46. | Note that for linearly parameterized Hamiltonian, there is no second derivative 0 } } on the operator level.
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| 47. | We have carefully written all expressions in a form such that these first and second derivatives appear explicitly.
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| 48. | The limit above just gives a possibility for calculating the second derivative but does not provide a definition.
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| 49. | This will work since the second derivative can be written in a form involving a power of x '.
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| 50. | For many combinations of boundary conditions explicit formulas for eigenvalues and eigenvectors of the second derivative can be obtained.
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