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#conjecture — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #conjecture, aggregated by home.social.

  1. The #Lonely #Runner #Conjecture explores the motion of n runners on a circular track of unit length, each starting at the same point with different constant speeds.

    It posits that for every runner, there exists a time when they are "lonely," meaning they are at a distance of at least 1/n from every other runner on the track.

    knowledgezone.co.in/kbits/6478

  2. #DidYouKnow: The #Lonely #Runner #Conjecture is an #Unsolved mystery in combinatorial number theory. It states that

    "n runners on a track of unit length, with constant speeds all distinct from one another, will each be lonely at some time - at least 1/n units away from all others."

    knowledgezone.co.in/kbits/6478

  3. #Dennis #Gaitsgory has dedicated the past 30 years to proving the #geometric #Langlands #conjecture.
    Over the decades, he and his collaborators have built an extensive body of work, forming the foundation of the new proof.
    Although the geometric Langlands program is highly abstract, it forges deep connections between different mathematical structures
    and has the potential to drive breakthroughs in theoretical physics, number theory, and even quantum computing.
    The #Breakthrough #Prize was established in 2012 by Sergey Brin (Google), Mark Zuckerberg (Facebook), and others to recognize outstanding researchers for their groundbreaking discoveries.
    It is awarded in the fields of life sciences, physics, and mathematics.
    In 2016, the Breakthrough Prize in Life Sciences was awarded to #Svante #Pääbo from the Max Planck Institute for Evolutionary Anthropology in Leipzig,
    and in 2022, to #Anthony #Hyman from the Max Planck Institute for Molecular Cell Biology and Genetics in Dresden.
    mpg.de/24476145/breakthrough-p

  4. #DidYouKnow: The #Lonely #Runner #Conjecture is an #Unsolved mystery in combinatorial number theory. It states that

    "n runners on a track of unit length, with constant speeds all distinct from one another, will each be lonely at some time - at least 1/n units away from all others."

    knowledgezone.co.in/kbits/6478