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1A
In mathematics, the Greatest Lower Bound [of a given set, it is the greatest element (not necessarily in the set itself) that is equal or lower to all elements of the set] -- it's the opposite of SUP
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Horizontales
  1. 1A
    In mathematics, the Greatest Lower Bound [of a given set, it is the greatest element (not necessarily in the set itself) that is equal or lower to all elements of the set] -- it's the opposite of SUP
  2. 4A
    Tungsten
  3. 8A
    Louisiana
  4. 13A
    Est. business body
  5. 15A
    It has erupted in crosswords probably a magnitude of thousands more than it ever has in actuality
  6. 16A
    Creepy lake homonym
  7. 17A
    Unremarkable was I ---- saw Elba, Kramer, nu?
  8. 18A
    There was a video of her dancing when she was a college student. For some reasons her opponents thought this should be damaging to her reputation (because... congressmen are never supposed to have been young?) It wasn't.
  9. 19A
    a) Diatribe about the Netflix series starring and produced by Brit Marling; b) the Formicidae that is in position to propel the rowboat
  10. 20A
    Unequivocally state that one refuses to get along
  11. 23A
    Phooey! I hate sheep.
  12. 25A
    As a rule a crossword entry is not supposed to contain itself as a word in its clue
  13. 26A
    Medical degrees (don't overthink it)
  14. 27A
    Actor McKellen (don't overthink it)
  15. 29A
    The first name and first letter of the surname of --- -indervarten, a German badminton player. If I change the last letter of this entry the clue for 21D would be a woozyism: Defensive armor made of whole grain. But I'm not going to change the last letter.
  16. 31A
    Words of understanding
  17. 33A
    Mystery writer Stabenow; author of the Kate Shugak series
  18. 34A
    "The roaring ------, or, Moll Cut-Purse : as it hath lately beene acted on the Fortune-stage by the Prince his Players"
  19. 35A
    Cleanser brand that "hasn't scratched yet"
  20. 37A
    Like an Ave.
  21. 38A
    Periodic bouts of sleepwalking
  22. 41A
    Swing Time
  23. 42A
    British music, film, gaming, and culture website and brand
  24. 43A
    Fagaceae Fagus; a deciduous tree. Mr. Rucastle had an estate in Hampshire named "The Copper -----es" where he hired a governess to cut her hair and make unwelcome gestures at a window. The whole thing ends when Dr. Watson shoots a hungry dog.
  25. 44A
    On condition that...
  26. 46A
    Yikes!
  27. 47A
    Although this storage medium is not re-writable, it can be read multiple times. I, honestly, can't see the point of a storage device that can't be read multiple times but apparently that was an important feature in naming this technology.
  28. 48A
    Worldwide: Abbr. (Like three of these clues-- but not their entries)
  29. 50A
    Chicago, O'Hare International
  30. 52A
    The study of the progression of conveyances of information (such as air, print, or broadcast) over time
  31. 55A
    Faithful
  32. 58A
    "Frozen" reindeer
  33. 59A
    13A Bigwig
  34. 60A
    Manage to not encounter
  35. 61A
    The Undo card in "Exploding Kittens"
  36. 62A
    A standard crossword entry. Europe, Asia, mountain range, etc. maybe a sea.....
  37. 63A
    Plutonium
  38. 64A
    Trolley
  39. 65A
    Office note
Verticales
  1. 1D
    Arkansas
  2. 2D
    Negative conjunction
  3. 3D
    Hopefully the adjective of this grid entry will refer to the produce being of good quality and not having begun to age. We don't want the adjective to refer to the person selling the produce being rude and impertinent.
  4. 4D
    Approaches
  5. 5D
    A lot of the Egyptian sun god encases the first fourteen letters
  6. 6D
    Creep slowly
  7. 7D
    French for "there" as in "--- -bas il y a un Hareng Rouge, à ne pas confondre avec un Bâton Rouge"
  8. 8D
    League members
  9. 9D
    Icon
  10. 10D
    The muse of Astronomy. (My personal favorite. Who's your favorite muse?)
  11. 11D
    Quora of ten men required for prayers; early population group in the Aegean area; little yellow guys that look like Twinkies and talk in gibberish... (okay, scratch that last one-- that's just me being a smart-ass)
  12. 12D
    Wager
  13. 14D
    Barcelona, J.A. Anzoategui International
  14. 19D
    Rocky Road
  15. 21D
    Thorin II, Dwarf King under the Mountain (from "The Hobbit"). If I change the third letter then the clue for 29A would be a straightforward: Metal bar. But I'm not going to change the third letter.
  16. 22D
    "What's that printed sheet with a list of all the food you can order?" "This? This is ------"
  17. 23D
    Montana
  18. 24D
    Seed with flavor and aroma similar to licorice, fennel, and tarragon
  19. 28D
    Rebellious Turner (or perhaps the opposite of 48A)
  20. 30D
    "Colossal head" carver of ancient Mexico
  21. 31D
    Maybe this was the inspiration of HAL9000 (transpose the letters up....)
  22. 32D
    Weep
  23. 33D
    Remove a boats main spar
  24. 36D
    Jazz bassist Charles
  25. 39D
    As a rule a crossword entry is not supposed to appear twice in the same puzzle
  26. 40D
    So-so
  27. 41D
    Hemoglobin corpuscles (abbr.)
  28. 44D
    "Can it be?" "No, ------"
  29. 45D
    Houston, George Bush Intercontinental
  30. 46D
    Marshall Bruce Mathers
  31. 49D
    It's capital is not Fargo.
  32. 51D
    Manganese
  33. 52D
    People of my generation think Rose Buck, as played by Jean Marsh was the epitomical portrayal of this profession. (Okay, not my generation.... just me....sigh)
  34. 53D
    Air filter acronym
  35. 54D
    County in Northern California whose name derives from Patwin for "place abounding in rushes" (and not for "Rush out and grab the day")
  36. 55D
    Chocolate test site
  37. 56D
    Egg
  38. 57D
    English for 7D, as in "Hither and ---- be a Red Herring, not to be confused with a Red Sticke"
  39. 62D
    "....."
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