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Joined 1 year ago
Cake day: August 12th, 2023
  • sunbather@beehaw.orgtoAsklemmy@lemmy.ml•Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?
    1·
    15 days ago

    this is correct but i think op is asking the wrong question.

    at least from a mathematical perspective, the claim that pi contains any finite string is only a half-baked version of the conjecture with that implication. the property tied to this is the normality of pi which is actually about whether the digits present in pi are uniformly distributed or not.

    from this angle, the given example only shows that a base 2 string contains no digits greater than 1 but the question of whether the 1s and 0s present are uniformly distributed remains unanswered. if they are uniformly distributed (which is unknown) the implication does follow that every possible finite string containing only 1s and 0s is contained within, even if interpreted as a base 10 string while still base 2. base 3 pi would similarly contain every possible finite string containing only the digits 0-2, even when interpreted in base 10 etc. if it is true in any one base it is true in all bases for their corresponding digits

  • sunbather@beehaw.orgtoAsklemmy@lemmy.ml•What is your culture's outlook towards authority figures? What seems to have influenced it?
    4·
    7 months ago

    also as a swedish person i think by far the most notable aspect is how level the playing field is when it comes to respect, primarily in schools and the like but even in other spaces.

    its the norm that students and teachers are on first name basis and honorifics are almost never used anywhere. the plural 2nd person pronoun “ni” has largely fallen out of use in its other meaning as a singular 2nd person formal pronoun, being replaced with its informal counterpart “du” most of the time.

    students and employees alike can freely and commonly do criticize and talk back to teachers and employers/bosses if theres a genuinely valid reason to do so and the general dynamic between different social positions is so relaxed to the point of it being fascinating. i think meeting the literal king of the country would for many people not warrant that big a change in behaviour other than obviously just being particularly nice.

    as a result of this i think people have an easier time seeing each other as people rather than just as cogs of society, and being a person who struggles a lot with reading social cues its an enormous relief to so far in my professional life never had to worry a single time whether i should refer to someone as mr. or ms. or if i should be speaking in a particular register