| 31. | This is guaranteed to hold if " ? " is continuously differentiable by the inverse function theorem.
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| 32. | Typically, one is not interested in " ? " itself, but in its inverse function.
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| 33. | The notation " f " " 1 should not be confused with that for inverse function.
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| 34. | Inverse functions are closely related to the original functions : the differentiable, so is its inverse function,.
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| 35. | Inverse functions are closely related to the original functions : the differentiable, so is its inverse function,.
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| 36. | The fixed point theorem is often used to prove the inverse function theorem on complete metric spaces such as Banach spaces.
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| 37. | At high frequencies, the PIN diode appears as a resistor whose resistance is an inverse function of its forward current.
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| 38. | Then the natural logarithm could be recognized as the inverse function to the transcendental function e " x ".
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| 39. | While the notation might be misunderstood, certainly denotes the multiplicative inverse of and has nothing to do with the inverse function of.
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| 40. | Intuitively, an inverse function is obtained from " f " by interchanging the roles of the dependent and independent variables.
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