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arXiv 1002.3909cs.ITmath.IT
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信息论与韦伯-费希纳定律的结合提出了新的研究领域

Proposal new area of study by connecting between information theory and Weber-Fechner law

HaengJin Choe

摘要:

粗略地说,信息论处理的是通过互联网等渠道传输的数据。现代信息论通常被认为是由香农在1948年的开创性论文《通信的数学理论》中创立的。“香农的信息论公式在通信工程师中立即取得了成功。香农用数学的方法定义了一个信道上传输的信息量。信息量并不意味着数据符号的数量。它取决于数据符号的出现概率。同时,心理物理学是研究心理事件和物理事件之间的定量关系,或者更具体地说,是研究感觉和产生感觉的刺激之间的定量关系。似乎香农的信息论与德国科学家和哲学家费希纳建立的心理物理学没有关系。在这里,我令人惊讶地指出,两个领域是可以结合起来的。因此,我们能够用数学的方法来测量对物理刺激的感知,这适用于韦伯-费希纳定律。我将定义新熵的概念。因此,新的领域将开始生活。

英文摘要:

Rough speaking, information theory deals with data transmitted over a channel such as the internet. Modern information theory is generally considered to have been founded in 1948 by Shannon in his seminal paper, "A mathematical theory of communication." Shannon's formulation of information theory was an immediate success with communications engineers. Shannon defined mathematically the amount of information transmitted over a channel. The amount of information doesn't mean the number of symbols of data. It depends on occurrence probabilities of symbols of the data. Meanwhile, psychophysics is the study of quantitative relations between psychological events and physical events or, more specifically, between sensations and the stimuli that produce them. It seems that Shannon's information theory bears no relation to psychophysics established by German scientist and philosopher Fechner. Here I show that to our astonishment it is possible to combine two fields. And therefore we come to be capable of measuring mathematically perceptions of the physical stimuli applicable to the Weber-Fechner law. I will define the concept of new entropy. And as a consequence of this, new field will begin life.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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