| 31. | The time required to perform the exponentiation depends on the operating environment and the processor.
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| 32. | The article on exponentiation needs your expertise.
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| 33. | :: : : See Exponentiation # Roots of arbitrary complex numbers and multivalued function.
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| 34. | Matrix exponentiation is used in the transformation.
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| 35. | In addition, several common distributions have likelihood functions that contain products of factors involving exponentiation.
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| 36. | Thus, each of the laws of exponentiation above has an analogue among laws of multiplication.
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| 37. | The shortest addition-chain algorithm requires no more multiplications than binary exponentiation and usually less.
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| 38. | This one-way function behavior makes modular exponentiation a candidate for use in cryptographic algorithms.
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| 39. | The majority of time spent in this algorithm is in step 2, the first exponentiation.
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| 40. | Now using the recipe of exponentiation of the Lie algebra representation to obtain a representation of,
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