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  2. Landauer's principle - Wikipedia

    en.wikipedia.org/wiki/Landauer's_principle

    Landauer's principle states that the minimum energy needed to erase one bit of information is proportional to the temperature at which the system is operating. Specifically, the energy needed for this computational task is given by. where is the Boltzmann constant and is the temperature in Kelvin. [ 2] At room temperature, the Landauer limit ...

  3. Polyphasic sleep - Wikipedia

    en.wikipedia.org/wiki/Polyphasic_sleep

    Polyphasic sleep. Polyphasic sleep is the practice of sleeping during multiple periods over the course of 24 hours, in contrast to monophasic sleep, which is one period of sleep within 24 hours. Biphasic (or diphasic, bifurcated, or bimodal) sleep refers to two periods, while polyphasic usually means more than two. [ 1]

  4. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  5. Is 4 hours of sleep enough? What sleeping too little does to ...

    www.aol.com/news/4-hours-sleep-enough-sleeping...

    Toddlers (12 years old): 11–14 hours, including naps Young children (3–5 years old): 10–13 hours, including naps School-age children (6–12 years old): 9–12 hours

  6. Proofs of Fermat's little theorem - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_Fermat's_little...

    Simplifications. Some of the proofs of Fermat's little theorem given below depend on two simplifications. The first is that we may assume that a is in the range 0 ≤ a ≤ p − 1. This is a simple consequence of the laws of modular arithmetic; we are simply saying that we may first reduce a modulo p.

  7. The Truth About Whether 7 Hours of Sleep Is Enough ... - AOL

    www.aol.com/truth-whether-7-hours-sleep...

    Dr. Dimitriu points to 2022 research on people aged 38 to 73 that linked seven hours of sleep to the healthiest outcomes. "Sleeping too much was often associated with depression or some medical ...

  8. Do you really need 8 hours of sleep every night? Sleep ... - AOL

    www.aol.com/news/really-8-hours-sleep-every...

    Children (1 to 2 years) need 11 to 14 hours, including naps Children (3 to 5 years) need 10 to 13 hours, including naps Children (6 to 12 years) need 9 to 12 hours

  9. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    G. H. Hardy, A Mathematician's Apology (1940) He [Russell] said once, after some contact with the Chinese language, that he was horrified to find that the language of Principia Mathematica was an Indo-European one. John Edensor Littlewood, Littlewood's Miscellany (1986) The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by ...