Nếu có trong tay 4 chữ số 4, cùng với các phép Toán. Bạn sẽ làm gì với chúng. Nhiều người trên thế giới đã cố gắng dùng các công thức Toán học để biểu diễn các số từ 0 đến 100 nhờ các chữ số 4 đấy. Bạn tin không nè.
Nếu chưa tin. Hãy quan sát xem nhé, nhớ là đừng chớp mắt để không bỏ sót bất kỳ số nào nhé. Và ngoài ra, nếu bạn biểu diễn các số nguyên tố từ 101 đến 200 nhờ 4 chữ số 4 trên, bạn sẽ có cơ hội ghi tên mình vào câu lạc bộ 4 chữ số 4 trên thế giới đấy.
Nào, cùng quan sát nhé.
| Kết quả | Biểu thức | Đề nghị bởi |
|---|---|---|
| 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) | J.K. Choi, Seoul, Korea |
| 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] (phần nguyên của căn bậc 4 của 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) | J.S.G, Maimonides, 1st Form |
| 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!] (phần nguyên của căn bậc 44 của 44!) |
Kelsey Gile, Fresno, CA Daniel Freeman |
| 18 | (4!+4!+4!)/4 | J.K. Choi, Seoul, Korea |
| 19 | 4!-4-4/4 | J.K. Choi, Seoul, Korea |
| 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) |
Jessi Bramlett, Tulsa, OK J.K. Choi, Seoul, Korea & Trevor Gile, Clovis, CA |
| 26 | 4/4(4!)+sqrt 4 4!+sqrt (4+4-4) |
Jessi Bramlett, Tulsa, OK J.K. Choi, Seoul, Korea |
| 27 | 4!+4-4/4 | Jessi Bramlett, Tulsa, OK |
| 28 | (4+4)*4-4 4sqrt 4*4-4 |
Edward Levinson, Germantown Academy, PA Kelsey Gile, Fresno, CA |
| 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) | J.K. Choi, Seoul, Korea |
| 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 | Katie Sibel, Germantown Academy, PA |
| 49 | (4!+4!)+4/4 | J.K. Choi, Seoul, Korea |
| 50 | 44+(4!/4) | J.K. Choi, Seoul, Korea |
| 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 | J.K. Choi, Seoul, Korea |
| 57 | (4!-sqrt 4)/.4+sqrt 4 | Mauri Jarvinen, Tampere, Finland |
| 58 | ((4!+4)*sqrt 4)+sqrt 4 | J.K. Choi, Seoul, Korea |
| 59 | (4!-sqrt 4)/.4+4 | Mauri Jarvinen, Tampere, Finland |
| 60 | 4*4*4-4
4^4/4-4 |
Carolyn Bedrosian, Germantown Academy, PA Dean Tye, Germantown Academy, PA |
| 61 | (4!+sqrt 4)/.4-4 | Mauri Jarvinen, Tampere, Finland |
| 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 | Kelsey Gile, Fresno, CA |
| 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 | J.K. Choi, Seoul, Korea |
| 73 | (4! C sqrt 4)/4 + 4 using nCr | W.H. Yee, Singapore |
| 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 x 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 | Robin Damion, Nottingham, UK |
| 91 | 4*4!-sqrt 4/.4 | Mauri Jarvinen, Tampere, Finland |
| 92 | 4*4!-sqrt 4-sqrt 4 | Robin Damion, Nottingham, UK |
| 93 | 4*4!-gamm(4)/sqrt 4 (4! C sqrt 4)/4 + 4!(using nCr) |
Robin Damion, Nottingham, UK W.H. Yee, Singapore |
| 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 | Robin Damion, Nottingham, UK |
| 101 | 4*4!+ 4 + [sqrt(sqrt(4))] | Nguyễn Vũ Thụ Nhân, Hochiminh, Vietnam (heheheh) |
| 102 | 4*4!+ 4 + sqrt(4) | Nguyễn Vũ Thụ Nhân, Hochiminh, Vietnam (heheheh) |
Tác giả: Ruth Carver’s
Nguồn: http://mathforum.org
Maths 4 Physics & more... 
4*4!+ 4 + [sqrt(sqrt(4))] = 101 là sai rồi thầy ơi! sqrt(4)=2 => sqrt(sqrt(4)) = sqrt(2) != 1
ThíchThích
Posted by Nguyễn Văn Buôl | 09/06/2015, 15:42