| 1. | For smooth functions, SOSC involve the second derivatives, which explains its name.
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| 2. | The problem is that the second derivative is also 0 at 0.
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| 3. | Thus, any function,, with an integrable second derivative,, will satisfy the equation:
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| 4. | Technically, the squared mass is the second derivative of the effective potential.
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| 5. | This means that is a Green's function for the second derivative operator.
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| 6. | Rewriting the second derivative, rearranging, and expressing the left side as a derivative:
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| 7. | However, this method does not take into account the second derivatives even approximately.
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| 8. | At such points the second derivative of curvature will be zero.
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| 9. | The second derivative test for functions of one and two variables is simple.
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| 10. | If it is zero, then the second derivative test is inconclusive.
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