Волшебные ЧЕТЫРЕ ЧЕТВЕРКИ
Четыре четверки — математическая головоломка по поиску простейшего математического выражения для каждого целого числа от 0 до некоторого максимума, используя лишь общие математические символы и цифры четыре (никакие другие цифры не допускаются). Большинство версий «четырёх четверок» требует, чтобы каждое выражение содержало ровно четыре четверки, но некоторые вариации требуют, чтобы каждое выражение имело минимальное количество четверок.
Сможете сами продолжить дальше 20 эту головоломку ?
Ну кому не охота заморачиваться, под катом еще продолжение до СОТНИ :
Answer Equation Submitted by 0 44 — 44 Mark Girouard, Miramichi, N.B., Canada 1 (4 + 4 — 4)/4
44/44 Leigh S., Germantown Academy, PA
Nidhi Kohli, Eastern H.S., NJ 2 (4*4)/(4 + 4)
4/4 + 4/4 J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 3 (4 + 4 + 4)/4
(4*4 — 4)/4
4 — 4^(4 — 4) Ryan McDonald, Miramichi, N.B., Canada
Nicole Finelli, Germantown Academy, PA
6th Period Biology, OHHS, Oxon Hill, MD 4 (4 — 4)*4 + 4
[\4/444] (integer of the 4th root of 444) J.S.G, Maimonides, 1st Form
Daniel Freeman 5 (4*4 + 4)/4 J.S.G, Maimonides, 1st Form 6 ((4 + 4)/4) + 4 J.K. Choi, Seoul, Korea 7 (4 + 4) — (4/4)
44/4 — 4 J.K. Choi, Seoul, Korea
Nathan O’Reilley, Miramichi, N.B., Canada 8 (4*4) — (4 + 4)
4 + 4 + 4 — 4 J.K. Choi, Seoul, Korea
Daniel Moffitt, Miramichi, N.B., Canada 9 (4/4) + 4 + 4 Michael Krueger, Germantown Academy, PA 10 (44 — 4)/4 J.K. Choi, Seoul, Korea 11 44/(sqrt 4 + sqrt 4)
4/.4 + 4/4 J.S.G, Maimonides, 1st Form
Reefe Brighton, Switzerland 12 (44 + 4)/4 J.K. Choi, Seoul, Korea 13 44/4 + sqrt 4 J.S.G, Maimonides, 1st Form 14 4 + 4 + 4 + sqrt 4
4!/4 + 4 + 4
4! — (4 + 4 + sqrt 4)
4*4(4/sqrt 4) Robin Damion, Nottingham, UKvJessi Bramlett, Tulsa, OK
J.K. Choi, Seoul, Korea
Trevor Gile, Clovis, CA 15 44/4 + 4 Katie Sibel, Germantown Academy, PA 16 4 + 4 + 4 + 4 Leigh S., Germantown Academy, PA 17 4*4 + 4/4
[\44/44!] (integer of the 44th root of 44!) Kelsey Gile, Fresno, CA
Daniel Freeman 18 (4! + 4! + 4!)/4
4*4 + 4/√4 J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 19 4! — 4 — 4/4
(sqrt4 + 4)/(.4) + 4 J.K. Choi, Seoul, Korea
Clara Damour, Treasure Coast High School, Port St. Lucie, FL 20 (4/4 + 4)*4 Leigh S., Germantown Academy, PA 21 4! — 4 + (4/4) J.K. Choi, Seoul, Korea 22 4*4 + 4 + sqrt 4
4/4(4!) — sqrt 4
4! — ((4 + 4)/4)
44/4*sqrt 4 Robin Damion, Nottingham, UK
Jessi Bramlett, Tulsa, OK
J.K. Choi, Seoul, Korea
Kevin Trotter, Escuela Americana School, El Salvador 23 4! — sqrt 4 + 4/4
4! — 4^(4 — 4) Jessi Bramlett, Tulsa, OK
J.K. Choi, Seoul, Korea &
Trevor Gile, Clovis, CA 24 4*4 + 4 + 4 Eric Treffeisen, Germantown Academy, PA 25 4! + sqrt 4 — 4/4
4! + 4^(4 — 4)
(4 + 4/4)^√4 Jessi Bramlett, Tulsa, OK
J.K. Choi, Seoul, Korea &
Trevor Gile, Clovis, CA
Reefe Brighton, Switzerland 26 4/4(4!) + sqrt 4
4! + sqrt (4 + 4 — 4)
4 + 44/√4 Jessi Bramlett, Tulsa, OK
J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 27 4! + 4 — 4/4 Jessi Bramlett, Tulsa, OK 28 (4 + 4)*4 — 4
4sqrt 4*4 — 4
44 — 4*4 Edward Levinson, Germantown Academy, PA
Kelsey Gile, Fresno, CA
Reefe Brighton, Switzerland 29 4! + 4 + 4/4 J.K. Choi, Seoul, Korea &
Trevor Gile, Clovis, CA 30 4! + 4 + 4 — sqrt 4 J.K. Choi, Seoul, Korea 31 ((4 + sqrt 4)! + 4!)/4! Jonas Oberg, Lycksele, Sweden &
Norbert Gassel, Seligenstadt, Germany 32 (4*4) + (4*4) Leigh S., Germantown Academy, PA 33 4! + 4 + sqrt 4/.4 Mauri Jarvinen, Tampere, Finland 34 (4*4*sqrt 4) + sqrt 4
4! + (4!/4) + 4
sqrt(4^4)*sqrt 4 + sqrt 4 J.K. Choi, Seoul, Korea
Trevor Gile, Buchanan H.S., CA
Kevin Trotter, Escuela Americana School, El Salvador 35 4! + 44/4 Norbert Gassel, Seligenstadt, Germany&
Patrick McCaney, Voorhees, NJ 36 (4 + 4)*4 + 4
44 — 4 — 4 Dean Tye, Germantown Academy, PA
Carolyn Bedrosian, Germantown Academy, PA 37 4! + (4! + sqrt 4)/sqrt 4 Mauri Jarvinen, Tampere, Finland 38 44 — (4!/4) J.K. Choi, Seoul, Korea 39 4! + 4!/(4*.4)
4! + (4 + 4/4)!! [Note: !! is odd factorial] Mauri Jarvinen, Tampere, Finland
Heiner Marxen, Germany 40 (4! — 4) + (4! — 4)
4*(4 + 4 + √4) J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 41 (4! + sqrt 4)/.4 — 4!
44 — gamma(4)/sqrt 4 Mauri Jarvinen, Tampere, Finland
Robin Damion, Nottingham, UK 42 44 — 4 + sqrt 4
(4! + 4!) — (4!/4) J.K. Choi, Seoul, Korea
Trevor Gile, Buchanan H.S., CA 43 44 — (4/4) J.K. Choi, Seoul, Korea 44 44 + 4 — 4 Charlene Walls, Miramichi, N.B., Canada 45 44 + 4/4 Robin Damion, Nottingham, UK 46 44 + 4 — sqrt 4
(4! + 4!) — (4/sqrt 4) J.K. Choi, Seoul, Korea
Trevor Gile, Buchanan H.S., CA 47 (4! + 4!) — 4/4 J.K. Choi, Seoul, Korea 48 (4*4 — 4)*4
4*(4 + 4 + 4) Katie Sibel, Germantown Academy, PA
Reefe Brighton, Switzerland 49 (4! + 4!) + 4/4 J.K. Choi, Seoul, Korea 50 44 + (4!/4)
44 + 4 + √4 J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 51 (4! — 4 + .4)/.4
4! + 4! + gamma(4)/sqrt 4 Mauri Jarvinen, Tampere, Finland
Robin Damion, Nottingham, UK 52 (44 + 4) + 4 Meghan Flieger, Miramichi, N.B., Canada 53 4! + 4! + sqrt 4/.4 Mauri Jarvinen, Tampere, Finland 54 4! + 4! + 4 + sqrt 4 J.K. Choi, Seoul, Korea 55 (4! — 4 + sqrt 4)/.4 Mauri Jarvinen, Tampere, Finland 56 4! + 4! + 4 + 4
4*(4*4 — √4) J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 57 (4! — sqrt 4)/.4 + sqrt 4 Mauri Jarvinen, Tampere, Finland 58 ((4! + 4)*sqrt 4) + sqrt 4
4! + 4! + 4/.4 J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 59 (4! — sqrt 4)/.4 + 4
4!/.4 — 4/4 Mauri Jarvinen, Tampere, Finland
Reefe Brighton, Switzerland 60 4*4*4 — 4
4^4/4 — 4
44 + 4*4 Carolyn Bedrosian, Germantown Academy, PA
Dean Tye, Germantown Academy, PA
Reefe Brighton, Switzerland 61 (4! + sqrt 4)/.4 — 4
4!/.4 + 4/4 Mauri Jarvinen, Tampere, Finland
Reefe Brighton, Switzerland 62 4*4*4 — sqrt 4 Robin Damion, Nottingham, UK 63 (4^4 — 4)/4 Sung-II Kim, Yonsei University, Seoul, Korea &
Chris Bagan, Edmonton, Alberta, Canada 64 4sqrt 4*4sqrt 4
4*(4! — 4 — 4)
(4 + 4)*(4 + 4) Kelsey Gile, Fresno, CA
Reefe Brighton, Switzerland
Reefe Brighton, Switzerland 65 (4^4 + 4)/4 L.C., Orlando, FL 66 4*4*4 + sqrt 4 Robin Damion, Nottingham, UK 67 (4! + sqrt 4)/.4 + sqrt 4 Mauri Jarvinen, Tampere, Finland 68 4*4*4 + 4
4^4/4 + 4 Laura Whitty, Miramichi, N.B., Canada
Katie Sibel, Germantown Academy, PA 69 (4! + sqrt 4)/.4 + 4 Mauri Jarvinen, Tampere, Finland 70 (4 + 4)!/(4!*4!)
44 + 4! + sqrt 4 Robin Damion, Nottingham, UK
J.K. Choi, Seoul, Korea 71 (4! + 4.4)/.4 Mauri Jarvinen, Tampere, Finland 72 44 + 4! + 4
4*(4*4 + √4) J.K. Choi, Seoul, Korea
Reefe Brighton, Switzerland 73 (4! C sqrt 4)/4 + 4 using nCr
(.4√4 + .4)/.4…** (see below) W.H. Yee, Singapore
Reefe Brighton, Switzerland 74 4! + 4! + 4! + sqrt 4 J.K. Choi, Seoul, Korea 75 (4! + 4 + sqrt 4)/.4 Mauri Jarvinen, Tampere, Finland 76 (4! + 4! + 4!) + 4 J.K. Choi, Seoul, Korea 77 ((4 — gamma(sqrt4))^4 ) — 4
(4/.4repeating)^sqrt4 — 4 Tan Chee How, Ngee Ann Polytechnic, Singapore
W.H. Yee, Singapore 78 4*(4! — 4) — sqrt 4 Mauri Jarvinen, Tampere, Finland 79 4! + (4! — sqrt 4)/.4 Mauri Jarvinen, Tampere, Finland 80 (4*4 + 4)*4 Leigh S., Germantown Academy, PA 81 (4 — (4/4))^4
(4!/(4*sqrt 4))^4
(4 — (log4/log4))^4 Trevor Gile, Buchanan H.S., CA
Robin Damion, Nottingham, UK
J.K. Choi, Seoul, Korea 82 4*(4! — 4) + sqrt 4 Mauri Jarvinen, Tampere, Finland 83 (4! — .4)/.4 + 4! Mauri Jarvinen, Tampere, Finland 84 44*sqrt 4 — 4 Trevor Gile, Buchanan H.S., CA 85 (4! + 4/.4)/.4 Mauri Jarvinen, Tampere, Finland 86 44*sqrt 4 — sqrt 4 Robin Damion, Nottingham, UK 87 4*4! — 4 / 0.bar4
44*sqrt(4) -i^4
((4 — gamma(sqrt4))^4) + (gamma 4) Denis Silcock, MILTON, Ontario, Canada
Carrie Lineberry, North Carolina
Chua Soo Nam, Lecturer, Ngee Ann Polytechnic, Singapore 88 4*4! — 4 — 4
44 + 44 Robin Damion, Nottingham, UK
Darren Richardson, Miramichi, N.B., Canada 89 4! + (4! + sqrt 4)/.4 Mauri Jarvinen, Tampere, Finland 90 4*4! — 4 — sqrt 4
44*√4 + √4 Robin Damion, Nottingham, UK
Reefe Brighton, Switzerland 91 4*4! — sqrt 4/.4 Mauri Jarvinen, Tampere, Finland 92 4*4! — sqrt 4 — sqrt 4
44*√4 + 4 Robin Damion, Nottingham, UK
Reefe Brighton, Switzerland 93 4*4! — gamm(4)/sqrt 4
(4! C sqrt 4)/4 + 4!(using nCr)
4 * 4! — (4/.4) Robin Damion, Nottingham, UK
W.H. Yee, Singapore
Reefe Brighton, Switzerland 94 4*4! + sqrt 4 — 4 Robin Damion, Nottingham, UK 95 4*4! — 4/4 Robin Damion, Nottingham, UK 96 4*4! + 4 — 4
4! + 4! + 4! + 4! Robin Damion, Nottingham, UK
J.K. Choi, Seoul, Korea 97 4*4! + 4/4 Robin Damion, Nottingham, UK 98 4*4! + 4 — sqrt 4 Robin Damion, Nottingham, UK 99 44/.44(repeating)
4*4! + gamma(4)/sqrt 4
4/4% — 4/4
(4 * 4!) + sqrt (4)/sqrt(.0 bar 4) Neil Vasan, Vienna, WV
Robin Damion, Nottingham, UK
W.H. Yee, Singapore
Nina Teicholz, San Francisco 100 4*4! + sqrt 4 + sqrt 4
4/.4*4/.4
44/.44 Robin Damion, Nottingham, UK
Reefe Brighton, Switzerland
Reefe Brighton, Switzerland
** Denotes the sum of the .4th root of 4 plus .4, all divided by 0.4 repeating.
Давайте еще вспомним про Тест куклы Кларка или что такое Парадокс Монти Холла
Оригинал статьи находится на сайте ИнфоГлаз.рф Ссылка на статью, с которой сделана эта копия - http://infoglaz.ru/?p=38144