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Alexander Bogomolny
Works at CTK Software
Attended Moscow State University
Lives in NJ, USA
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Alexander Bogomolny

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Assume a_1,a_2,a_3,a_4 are intgegers and a_{a_n}}=n+4.

Find a_{2012}+a_{2013}+a_{2014}+a_{2015}

http://www.cut-the-knot.org/arithmetic/algebra/InnovativeRecurrence.shtml
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Alexander Bogomolny

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An imagination firing tree in the midst of a more than century old Templer Colony in Tel-Aviv, Israel.

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+Alexander Bogomolny True! Very interesting! 
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Alexander Bogomolny

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Alexander Bogomolny

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Trees offer the weirdest shapes to tickle imagination. This one - in my view - shows a long-horned animal balancing the tree between its horns. 

The picture has been taken at the Haas promenade overlooking the Old City of Jerusalem, Israel, and the surrounding hills, including the ancient cemetery on Mount of Olives.

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Alexander Bogomolny

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I is the incenter of ΔABC. Ha,Hb,Hc the orthocenters of Δs IBC,IAC,IAB. Then [ΔABC]=[ΔHaHbHc]

http://www.cut-the-knot.org/triangle/IHHH.shtml
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Alexander Bogomolny

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Monk parakeet that made a home on a palm tree in the Arnona neighborhood of Jerusalem, Israel

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Alexander Bogomolny

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I spent the weekend (Friday + Saturday in Israel) in Modi'in with my in-laws. There were there jays, mynas, parakeets, doves, crows, and a greatest variety of sparrows, finches, and such that kept moving alone and in groups, making watching them a huge fun.

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Alexander Bogomolny

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This guy is doubtlessly a black-crowned night heron

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Wonderful capture! Thank you for sharing. 
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Alexander Bogomolny

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I am only in the process of learning to distinguish between herons and egrets. For now, I identify the fellow as a snowy egret but I am open to critique

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Alexander Bogomolny

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I may only guess what this sunbird was trying to achieve.

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Ingathering in the hills of Jerusalem, the Northern Talpiyot neighborhood, Jerusalem, Israel

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+Sam natt you are full of shit. He WAS a Jew so you must think he is filth.
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Alexander Bogomolny

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a(n+1)=a(n)+1/[2b(n)], b(n+1)=b(n)+1/[2a(n)], a(0),b(0)>0.

Prove that max{a(2014), b(2014)} > 2015

http://www.cut-the-knot.org/arithmetic/algebra/GrowingSeries.shtml
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People
Education
  • Moscow State University
    MS Mathematics, 1966 - 1971
  • Hebrew University of Jerusalem
    PhD Mathematics, 1976 - 1981
Basic Information
Gender
Male
Story
Tagline
Love math. Care for math education.
Work
Occupation
Software and web dvelopment, most happily math related
Skills
Mathematics - applied and otherwise, programming Java and C++
Employment
  • CTK Software
    Principal, present
Places
Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Currently
NJ, USA