Alexander Bogomolny

@CutTheKnotMath

Freelance mathematican and educational web developer

NJ, USA
cut-the-knot.org
Joined December 2009
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  1. 19 minutes ago East Brunswick, NJ

    8 solutions to a problem in 80-80-20 ΔABC, with AE=BC. Find ∠AEC.

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    3:58 PM - 8 Dec 2015 · Details
    2 likes
  2. Dec 7 East Brunswick, NJ

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    4:15 PM - 7 Dec 2015 · Details
    1 retweet 2 likes
  3. Dec 6 East Brunswick, NJ

    Farook's dad tried to calm down his son by saying "In two years, Israel will be gone… Nobody wants the Jews"

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    1 retweet
  4. Dec 6

    "A correct second solution (but note that a calculus-based solution is here the simplest…" — Grégoire Nicollier

    1 like
  5. Dec 5

    "2015=20x+15y Divide by 5 4x+3y =403 ....(1) 4(100)+3(1)= 403…" — Sofiane Zouaoui

    Translated from French by

  6. Dec 4

    "I use the book of Underwood Dudley "Elementary number Theory" (page 37), linear congruence…" — Mouëza Moran

    3 likes
  7. Dec 4 East Brunswick, NJ

    Fill-it-in outline mathematics. Solve in positive integers 20x + 15y = 2015

    1 like
  8. Dec 4 East Brunswick, NJ

    a,b,c such that 3≥a≥1≥b,c≥0, a+b+c=3. Prove abc + 2/(ab+bc+ca) ≥ 5/(aa+bb+cc)

    2 retweets 3 likes
  9. Dec 3 East Brunswick, NJ

    x,y,z positive, x ≤ 1, y ≤ 2, x + y + z = 6. Prove (x+1)(y+1)(z+1) ≥ 4xyz.

    2 retweets 5 likes
  10. Dec 2

    Quite worth finding out

    The Declaration of Independence guarantees "happiness," but not happiness. Why? From my new book, A Numerate Life.
  11. Dec 1 East Brunswick, NJ

    How fast does one's shadow grow?

    3 likes
  12. Retweeted
    Dec 1

    If Goldbach conjecture then yes for n >2 : p & q prime -> (pq)'=p+q Is every even an n' for some n?

    2 retweets 6 likes
  13. Dec 1 East Brunswick, NJ

    "Microaggression" (having a chance to offend somebody): “I believe the most qualified person should get the job.”

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  14. Nov 30 East Brunswick, NJ

    My review of David Singmatser's Problems for Metagrobologists HT

    3 retweets 4 likes
  15. Nov 30 East Brunswick, NJ

    A simple solution to bounding the perimeter of a quadrilateral inscribed in square

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    9:28 AM - 30 Nov 2015 · Details
    1 retweet 6 likes
  16. Nov 30

    Markets are efficient (i.e., past prices are fully reflected in today's prices) only if P = NP

    For discussion: Markets are efficient only in P = NP. The extensions can be very interesting.
    3 retweets 5 likes
  17. Nov 29 East Brunswick, NJ

    The equation of Steiner's circumellipse in the barycentrics is xy + yz + zx = 0.

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    2:30 PM - 29 Nov 2015 · Details
    8 retweets 11 likes
  18. Nov 29

    “Palestinian dies in ramming attack”?!

    Reuters headline suggests Arab terrorist who rammed his car into two Israeli soldiers was victim of his own attack.
  19. Nov 28 East Brunswick, NJ

    Steiner's Inellipse in barycentric coordinates has the equation xx + yy + zz = 2(xy + yz + xz)

    4 retweets 3 likes

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