discrete math

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Across
  1. 4. quota / end apportionment is smaller than the lower quota.
  2. 7. / stops.
  3. 8. / never stops.
  4. 11. voting system / voters not equal with the numbers of votes.
  5. 13. / sum of a sequence.
  6. 15. / when a tie can happen.
  7. 18. / the voters.
  8. 19. / sum.
  9. 20. / no sum.
  10. 22. sequence / pattern of common difference.
  11. 23. / majority number of votes to pass a motion.
Down
  1. 1. quota / end apportionment is bigger than the upper quota.
  2. 2. / yes/no votes.
  3. 3. / can make a motion fail.
  4. 5. / closed formula.
  5. 6. player / a player who turns a losing coalition into a winning one.
  6. 9. / player one has more than the quota.
  7. 10. coalition / someone who doesn't have enough votes.
  8. 12. / player who has no vote.
  9. 14. series / Sn=A1(1-r^n)/(1-r)
  10. 16. / An=An-1+d
  11. 17. / no way to pass a motion.
  12. 21. / each player controls a certain number of votes.