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Genady

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Everything posted by Genady

  1. Genady replied to MJ kihara's topic in Speculations
    I think it is for an elliptical orbit.
  2. Genady replied to MJ kihara's topic in Speculations
    The horizontal axis here is some x, e.g., ellipse's major axis. The vertical axis is time. The wavy line is the orbit.
  3. I understand that the OP question is about ontogeny of organism with a genetic disorder. What I don't understand is, what would make one to think that
  4. This is a good summary. +1
  5. Just like Russian! (I know it's OT.)
  6. I'd say that the basic operations are ascend/descend-by-one. Then to ascend/descend-by-two you just ascend/descend-by-one twice, to ascend/descend-by-three you ascend/descend-by-one three times, etc. To ascend/descend-by-zero you then ascend/descend-by-one zero times, i.e., you don't move. I think it is not difficult to swallow that to ascend/descend-by-(-1) you descend/ascend-by-one, to ascend/descend-by-(-2) you descend/ascend-by-two, etc.
  7. This is one of the recurring themes in this thread, e.g.,
  8. OK. We can use the "× -1" label to get from positives to negatives. How do we come to use the same label to get from negatives to positives?
  9. It is not so in the grown-up's algebra, but might be a good order for learning. However, there seems to be a logical gap there: To introduce negative numbers it uses multiplication by -1, but where does the -1 come from if there are no negative numbers yet?
  10. Ah, I see. IMO, adding and subtracting numbers do not reflect physical moving of objects but rather reflect ways of counting them.
  11. I don't understand. The example, 4-(-6), is neither a) nor b), I think.
  12. Then, I think, they always have a multiplicative identity, but when p is prime, they are fields, as then each element has a multiplicative inverse.
  13. Genady replied to Genady's topic in The Sandbox
    -
  14. Is 'Zp' the same as 'Z/pZ'?
  15. Are the last three languages North Germanic while Finnish is not?
  16. +1 (when the system lets me.) Replace that remark with, "... if you're not an electron."
  17. I have a question. Before they start with the multiplication, after they learn only addition and subtraction of integers, do they know how to deal with, say, 4-(-6)?
  18. The tables are often turned nowadays. The locals here usually ask visitors, "English, Espanol, Nederlands, Papiamentu?"
  19. +1, but I've used up my daily quota. Will try to remember tomorrow. This option gives integers a ring structure.
  20. Sorry for this impression. I went back and expressed my sincere appreciation of the inputs.
  21. Yes, this is exactly my point, with the emphasis on "has to".
  22. ... unless you're a fermion 🙂
  23. Sorry, the link is broken.
  24. What you refer to is, -(-2)=2. It is not intuitive that it has to do with multiplication, i.e., (-1)*(-2)=2.

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