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Shannon stated that the amount of information, H, transmitted by a series of n characters is given by: where W is the size of the alphabet. Hence, for the previous ASCII example, the amount of information contained in a single ASCII
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“As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality. Albert Einstein”
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
― Farewell to Reality: How Modern Physics Has Betrayed the Search for Scientific Truth
“The current leading candidates for dark matter are particles predicted to exist from supersymmetric theories, extensions of current particle physics that include a new symmetry of Nature. The reader may recognize the “super” in supersymmetry from superstring theory, a candidate theory for unifying general relativity and quantum mechanics. As of the winter of 2014, no evidence for supersymmetry had been found, despite decades of intense search and the enthusiastic support of many physicists. At this point, it is unclear and somewhat doubtful that supersymmetry is realized in Nature.”
― The Island of Knowledge: The Limits of Science and the Search for Meaning
― The Island of Knowledge: The Limits of Science and the Search for Meaning
“I grew thinner and more ragged. I slept in rain or sun, on soft grass, moist earth, or sharp stones with an intensity of indifference that only grief can promote.”
― The Name of the Wind
― The Name of the Wind
“What power have you got? Where did you get it from? In whose interests do you exercise it? To whom are you accountable? And how can we get rid of you”
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“In the early part of the ninth century, Muhammad ibn Musa al-Khwarizmi, a mathematician working in Baghdad, wrote a seminal textbook in which he highlighted the usefulness of restoring a quantity being subtracted (like 2, above) by adding it to the other side of an equation. He called this process al-jabr (Arabic for “restoring”), which later morphed into “algebra.” Then, long after his death, he hit the etymological jackpot again. His own name, al-Khwarizmi, lives on today in the word “algorithm.”
― The Joy Of X: A Guided Tour of Math, from One to Infinity
― The Joy Of X: A Guided Tour of Math, from One to Infinity
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