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  2. Coupon collector's problem - Wikipedia

    en.wikipedia.org/wiki/Coupon_collector's_problem

    In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following question: if each box of a given product (e.g., breakfast cereals) contains a coupon, and there are n different types of coupons, what is the probability that more than t boxes need to be bought ...

  3. How long is too long to nap? Sleep doctor shares when it can ...

    www.aol.com/long-too-long-nap-sleep-221055570.html

    The short answer is yes, but there are a few caveats. Napping can help you stay healthy, but there's a sweet spot when it comes to how long your naps should be. "Naps are good, but you want to ...

  4. Sleep medicine - Wikipedia

    en.wikipedia.org/wiki/Sleep_medicine

    Sleep medicine is a medical specialty or subspecialty devoted to the diagnosis and therapy of sleep disturbances and disorders. [1] From the middle of the 20th century, research has provided increasing knowledge of, and answered many questions about, sleep–wake functioning. [2] The rapidly evolving field [3] has become a recognized medical ...

  5. GLP-1 Drugs Like Zepbound and Mounjaro May Help Reduce Sleep ...

    www.aol.com/glp-1-drugs-zepbound-moujaro...

    In clinical trials, tirzepatide reduced sleep apnea events by as much as two-thirds or about 66% over the course of 52 weeks in patients with obstructive sleep apnea. Patients taking a placebo ...

  6. Sleep apnea - Wikipedia

    en.wikipedia.org/wiki/Sleep_apnea

    Sleep apnea is a sleep-related breathing disorder in which repetitive pauses in breathing, periods of shallow breathing, or collapse of the upper airway during sleep results in poor ventilation and sleep disruption. [10] [11] Each pause in breathing can last for a few seconds to a few minutes and occurs many times a night. [1]

  7. Sleep onset latency - Wikipedia

    en.wikipedia.org/wiki/Sleep_onset_latency

    Instead, he suggests testing sleep onset latency during the day, ideally at 10:00 a.m., 12:30 p.m. and 3:00 p.m. A sleep onset latency of 0 to 5 minutes indicates severe sleep deprivation, 5 to 10 minutes is "troublesome", 10 to 15 minutes indicates a mild but "manageable" degree of sleep debt, and 15 to 20 minutes is indicative of "little or ...

  8. July 4th Sales: Here's all you need to know about where to ...

    www.aol.com/lifestyle/july-4th-sales-heres-all...

    Nexpure 1800W Professional Ionic Hairdryer. $30 $120 Save $90. In the world of hair dryers, the Dyson Supersonic is considered the gold standard. But it comes with a $430 price tag, putting it out ...

  9. Sleep deprivation - Wikipedia

    en.wikipedia.org/wiki/Sleep_deprivation

    Treatment. Cognitive behavioral therapy, caffeine (to induce alertness), sleeping pills. Sleep deprivation, also known as sleep insufficiency [2] or sleeplessness, is the condition of not having adequate duration and/or quality of sleep to support decent alertness, performance, and health. It can be either chronic or acute and may vary widely ...