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特别地，数学上的负熵(负熵函数，在物理学中解释为自由熵)是 LogSumExp 的凸共轭(在物理学中解释为自由能)。

特别地，数学上的负熵(负熵函数，在物理学中解释为自由熵)是 LogSumExp 的凸共轭(在物理学中解释为自由能)。

==Brillouin's negentropy principle of information==

==Brillouin's negentropy principle of information 布里渊信息负熵原理==

In 1953, [[Léon Brillouin]] derived a general equation<ref>Leon Brillouin, The negentropy principle of information, ''J. Applied Physics'' '''24''', 1152–1163 1953</ref> stating that the changing of an information bit value requires at least kT ln(2) energy. This is the same energy as the work [[Leó Szilárd]]'s engine produces in the idealistic case. In his book,<ref>Leon Brillouin, ''Science and Information theory'', Dover, 1956</ref> he further explored this problem concluding that any cause of this bit value change (measurement, decision about a yes/no question, erasure, display, etc.) will require the same amount of energy.

In 1953, [[Léon Brillouin]] derived a general equation<ref>Leon Brillouin, The negentropy principle of information, ''J. Applied Physics'' '''24''', 1152–1163 1953</ref> stating that the changing of an information bit value requires at least kT ln(2) energy. This is the same energy as the work [[Leó Szilárd]]'s engine produces in the idealistic case. In his book,<ref>Leon Brillouin, ''Science and Information theory'', Dover, 1956</ref> he further explored this problem concluding that any cause of this bit value change (measurement, decision about a yes/no question, erasure, display, etc.) will require the same amount of energy.

In 1953, Léon Brillouin derived a general equation stating that the changing of an information bit value requires at least kT ln(2) energy. This is the same energy as the work Leó Szilárd's engine produces in the idealistic case. In his book, he further explored this problem concluding that any cause of this bit value change (measurement, decision about a yes/no question, erasure, display, etc.) will require the same amount of energy.

In 1953, Léon Brillouin derived a general equation stating that the changing of an information bit value requires at least kT ln(2) energy. This is the same energy as the work Leó Szilárd's engine produces in the idealistic case. In his book, he further explored this problem concluding that any cause of this bit value change (measurement, decision about a yes/no question, erasure, display, etc.) will require the same amount of energy.

1953年，布里渊上的 l 推导出一个一般方程，说明信息比特值的变化至少需要 kT ln (2)能量。在理想的情况下，这是与 le szil rd 的引擎所产生的功相同的能量。在他的书中，他进一步探讨了这个问题，得出结论: 导致这个位值变化的任何原因(测量、关于 yes / no 问题的决定、擦除、显示等等)都需要同样的能量。

1953年，布里渊推导出一个一般性方程，说明改变一个信息比特值至少需要 kT ln (2)的能量。这与理想情况下 Leó Szilárd 引擎所产生的能量相同。在他的书中，他进一步探讨了这个问题，得出结论: 任何原因产生一个比特的改变(测量、关于是/否问题的决定、擦除、显示等等)都需要同样的能量。

 

 

==See also==

==See also==