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  1. lpetrich

    A dumb question

    Our physics intuitions tend to be Aristotelian: that every objects tries to find its "natural" place and motion. But there are various things that can affect the Earth's rotation: Tidal drag - by far, the most significant Drag by the solar wind on the Earth's magnetosphere Electromagnetic...
  2. lpetrich

    RNA self replicates

    I'd have to have more specific references. I'm sure that I can interpret the abstracts of paywalled ones. Did any of the papers describe any of the raw materials that were used in the experiments described in those papers? Were they RNA nucleotides? (phosphate) - (ribose) - (nucleobase) Or...
  3. lpetrich

    Inscribed circle problem

    ChatGPT seems to me to be hopelessly glib, talking a lot but not saying very much.
  4. lpetrich

    Inscribed circle problem

    ...py2 = 1 Inner circle: (px-cx)2 + (py-cy)2 = py2 Tangent condition: {-py, px} . eps2 . {-(py-cy), (px-cx)} = 0 where eps2 is the 2D antisymmetric symbol {{0,1},{-1,0}}. The solution: px = 2*cx/(1+cx2) py = (1-cx2)/(1+cx2) cy = (1/2)*(1-cx2) The center of the inner circle is thus on a...
  5. lpetrich

    Are there really infinite transcendental numbers?

    ...Zeta Function Zeros -- from Wolfram MathWorld The trivial ones are for s = -2, -4, -6, -8, -10, ... The nontrivial ones have form s = sr + i*si, where 0 < sr < 1. The Riemann hypothesis states that all such zeros have sr = 1/2. Riemann hypothesis - Riemann Hypothesis -- from Wolfram...
  6. lpetrich

    Food preservation

    Hardtack - dense biscuits / crackers - Salt pork - Corned beef - salt beef These were common rations for armies and navies in the 17th, 18th, & 19th cys. Another modern technique is Canning - sealing food in airtight containers like metal cans. The first canning was done in 1809, for...
  7. lpetrich

    Making the US Senate More Representative

    Making the Senate proportional by population, like the House, is an interesting exercise. For that, I decided to use the Huntington-Hill highest-averages algorithm as my baseline one. The overall number of Senators is twice the number of states, but each state may have more or fewer Senators...
  8. lpetrich

    Making the US Senate More Representative

    The tables did not get fixed after the move from vBulletin to XenForo. I will fix them. List of electoral systems by country Polity Dist List L/D Germany 299 299 1 New Zealand 72 120 1.67 Thailand 350 150 0.43 Lesotho 80 40 0.5 Bolivia 70 60 0.86 Scotland...
  9. lpetrich

    Very high motion star?

    For position, the barycenter of the Solar System. For direction, quasars, because they are the farthest objects that can be observed without much difficulty. The one with the highest apparent visual luminosity, 3C 273, has visual magnitude +12.9. Others are not quite as bright in visible light...
  10. lpetrich

    Desantis Declares Himself Emperor Of Florida?

    Florida officials investigate voters who signed abortion ballot initiative | Florida | The Guardian - "Activists say investigation by agency set up by Ron DeSantis into whether fraud took place is voter intimidation"
  11. lpetrich

    A simple(?) problem involving small sets of integers

    Of solutions known to me, the only self-inverses are: range(1) = {1}, range(2) = {1,2}, and {2,3,4,6}
  12. lpetrich

    Greedflation?

    ...properly on the previous page, likely due to Derec's attachment, but it didn't render properly on this page. Power-law decline: f(k) = (1-u) * u^k for some parameter u and number k from 0 on up. Information measure: I = - log(1-u) - u/(1-u)*log(u) Effective number (square measure)...
  13. lpetrich

    Proportional Representation for the United States?

    ...the main allocation or apportionment algorithm, because it's what's used for the House. It's highest-averages with a divisor function D(S) = sqrt(S*(S+1)) for S seats. It's close to Sainte-Laguë, S+1/2. I used the 2020 US Census data for all the present states, omitting DC and Puerto Rico...
  14. lpetrich

    Vive la France!

    French PM Barnier needs 4 types of ministers if he’s going to survive – POLITICO - "Newly appointed French leader faces an uphill battle to form a government with a fragmented parliament, an unhappy left wing, and a far right that wields key influence." The Left won big, and self-styled...
  15. lpetrich

    The Race For 2024

    Trump says he will tap Musk to lead government efficiency commission if elected | Reuters Trump says he'd create government efficiency commission led by Elon Musk | AP News
  16. lpetrich

    The Race For 2024

    Pro-Trump podcaster Dave Rubin sparks outerage over Taylor Swift comment After mentioning Elon Musk's tweet about giving Taylor Swift a child, then My first thought was Сколько они ему заплатили?
  17. lpetrich

    The Race For 2024

    Taylor Swift got this response: Elon Musk on X: "Fine Taylor … you win … I will give you a child and guard your cats with my life" / X Is he offering some child for her to adopt? Or does he want to make her pregnant? Elon Musk’s daughter blasts his ‘heinous incel nonsense’ as he offers Taylor...
  18. lpetrich

    The Race For 2024

    Taylor Swift's endorsement of Kamala Harris: Taylor Swift | Like many of you, I watched the debate tonight. ... | Instagram
  19. lpetrich

    Trump is finally getting his balls back and the Democrats are switching place with the Republicans

    Most likely a few percent. This principle could be extended to replace minimum wages with maximum wages much less than the current minimum wage, maximum wages pegged to (let's say) 10% or even 1% of GDP. Consumers will LOVE that, I'm sure, because 0% of consumers' income comes from wages, right?
  20. lpetrich

    Greedflation?

    Environmental impacts: So to help make our planet more livable, eat lower on the food chain, with vegetarian fake meats, fake milks, and fake cheeses.
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