• hardcoreufo@lemmy.world
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    7 days ago

    The only application I can think of off the top of my head that would require that precision is a R2R DAC.

    Just sort through a bin until you find one.

      • Gordon Calhoun@lemmy.world
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        7 days ago

        Ugh, 3 factorial is most definitely not equal to π. It’s something more like, idk, 9? Honestly I don’t even know how I got here; I majored in Latin and barely past

          • Gordon Calhoun@lemmy.world
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            7 days ago

            e = π = σ = ε = µ = Avogadro’s Number = k = g = G = α = i = j = 3

            (at least that’s how they all look when viewed from ∞)

            • andros_rex@lemmy.world
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              7 days ago

              Shouldn’t have i in there, or j if you’re using that to represent the imaginary number. The complex plane is separate.

              Let epsilon be substantially greater than zero…

                • andros_rex@lemmy.world
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                  6 days ago

                  Imaginary numbers are best understood as symbolizing rotation. If we’re imagining a number line here, “looking back from infinity” - at a scale where Grahams number looks like the mass of an atom expressed in kilograms, i would not be in that infinite set of numbers, it would be a point above that line and creating a perpendicular plane to it.

                  I hate the term “imaginary” because it’s misleading. Most high school algebra teachers don’t understand what they are either, so people learn about these things called “imaginary” numbers, never learn any applications with them, hopefully graph them at best, and then move on understanding nothing new about math.

                  Students also tend to get really confused about it as possibly a variable, (it’s really annoying with in second year algebra courses, where e and logs also show up). We say “ah yeah, if you get a negative sign, just pull it out as an i and don’t worry about it. or just say no real solutions.”

  • A_A@lemmy.world
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    7 days ago

    Quantum Ampere Standard
    https://www.nist.gov/noac/technology/current-and-voltage/quantum-ampere-standard
    .
    there also been research for defining a quantum volt and quantumly stable resistors

    https://www.nist.gov/noac/technology/current-and-voltage
    Quantum-based measurements for voltage and current are moving toward greater miniaturization

    P.S. :
    https://en.m.wikipedia.org/wiki/Quantum_Hall_effect
    Quantum Hall effect →
    Applications →
    Electrical resistance standards :

    (…) Later, the 2019 revision of the SI fixed exact values of h and e, resulting in an exact
    RK = h/e2 = 25812.80745… Ω.

    (this is precise to at least 10 significant digits)