{"id":6215,"date":"2017-06-14T10:51:19","date_gmt":"2017-06-14T03:51:19","guid":{"rendered":"https:\/\/thitruongsi.com\/kinh-nghiem\/?p=6215"},"modified":"2017-06-21T09:52:50","modified_gmt":"2017-06-21T02:52:50","slug":"ai-cung-muon-nhan-tien-co-them-nhieu-so-0-nhung-it-ai-biet-lich-su-lau-doi-cua-no","status":"publish","type":"post","link":"https:\/\/thitruongsi.com\/kinh-nghiem\/ai-cung-muon-nhan-tien-co-them-nhieu-so-0-nhung-it-ai-biet-lich-su-lau-doi-cua-no\/","title":{"rendered":"Ai c\u0169ng mu\u1ed1n nh\u1eadn ti\u1ec1n c\u00f3 th\u00eam nhi\u1ec1u s\u1ed1 0 nh\u01b0ng \u00edt ai bi\u1ebft l\u1ecbch s\u1eed l\u00e2u \u0111\u1eddi c\u1ee7a n\u00f3"},"content":{"rendered":"

H\u00e0ng th\u00e1ng, ch\u00fang ta nh\u1eadn l\u01b0\u01a1ng b\u1eb1ng ti\u1ec1n m\u1eb7t ho\u1eb7c qua chuy\u1ec3n kho\u1ea3n v\u00e0 h\u1ea7u nh\u01b0 b\u1ea5t c\u1ee9 nh\u00e2n vi\u00ean n\u00e0o c\u0169ng mu\u1ed1n c\u00f3 c\u00e0ng nhi\u1ec1u s\u1ed1 0 c\u00e0ng t\u1ed1t. Tuy nhi\u00ean, \u0111a ph\u1ea7n m\u1ecdi ng\u01b0\u1eddi ng\u00e0y nay kh\u00f4ng bi\u1ebft \u0111\u1ebfn l\u1ecbch s\u1eed c\u1ee7a con s\u1ed1 \u201cth\u1ea7n th\u00e1nh\u201d n\u00e0y.<\/strong><\/p>\n

\u00a0<\/strong><\/p>\n

V\u00e0o cu\u1ed1i n\u0103m 1999, c\u1ea3 th\u1ebf gi\u1edbi x\u00f4n xao v\u1ec1 v\u1ea5n \u0111\u1ec1 Y2K khi lo ng\u1ea1i r\u1eb1ng m\u00e1y tinh kh\u00f4ng th\u1ec3 nh\u1eadn di\u1ec7n n\u0103m 2000 (hi\u1ec3n th\u1ecb b\u1eb1ng 00) v\u1edbi c\u00e1c n\u0103m 1900, 1800\u2026 (c\u0169ng hi\u1ec3n th\u1ecb b\u1eb1ng 00).<\/p>\n

M\u1eb7c d\u00f9 kh\u00f4ng c\u00f3 \u1ea3nh h\u01b0\u1edfng l\u1edbn n\u00e0o di\u1ec5n ra nh\u01b0ng \u0111\u00e2y ch\u1ec9 l\u00e0 m\u1ed9t trong s\u1ed1 r\u1ea5t nhi\u1ec1u nh\u1eefng v\u00ed d\u1ee5 cho th\u1ea5y t\u1ea7m quan tr\u1ecdng c\u1ee7a s\u1ed1 0 trong cu\u1ed9c s\u1ed1ng.<\/p>\n

Con ng\u01b0\u1eddi t\u1eeb xa x\u01b0a \u0111\u00e3 g\u1eb7p kh\u00f3 kh\u0103n trong vi\u1ec7c m\u00f4 t\u1ea3 s\u1ef1 tr\u1ed1ng r\u1ed7ng, nh\u1ea5t l\u00e0 khi n\u00f3i \u0111\u1ebfn v\u0103n h\u00f3a ch\u1eef vi\u1ebft. S\u1ed1 0 trong nhi\u1ec1u n\u1ec1n v\u0103n h\u00f3a c\u1ed5 \u0111\u1ea1i \u0111\u00f3ng vai tr\u00f2 v\u00f4 c\u00f9ng quan tr\u1ecdng c\u0169ng nh\u01b0 b\u00ed hi\u1ec3m. B\u1ea1n kh\u00f4ng tin \u01b0? V\u1eady h\u00e3y c\u00f9ng ng\u01b0\u1ee3c d\u00f2ng th\u1eddi gian l\u1ecbch s\u1eed.<\/p>\n

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\"Ai<\/div>\n
<\/div>\n<\/div>\n

Zero<\/strong><\/span><\/p>\n

T\u1eeb Zero (s\u1ed1 0) trong ti\u1ebfng Anh b\u1eaft ngu\u1ed3n t\u1eeb ti\u1ebfng \u1ea2 R\u1eadp \u201cSifr\u201d v\u00e0 \u0111\u01b0\u1ee3c d\u1ecbch sang ti\u1ebfng Latin b\u1edfi nh\u00e0 to\u00e1n h\u1ecdc ng\u01b0\u1eddi Italy Leonardo of Pisa (hay c\u00f2n g\u1ecdi l\u00e0 Fibonacci, 1175-1250) v\u1edbi t\u00ean g\u1ecdi \u201cZephirum\u201d.<\/p>\n

S\u00e1ch s\u1ed1 h\u1ecdc c\u1ee7a Italy \u0111\u00e3 s\u1eed d\u1ee5ng t\u1eeb Zephirum n\u00e0y cho \u0111\u1ebfn th\u1eddi k\u1ef3 Ph\u1ee5c h\u01b0ng (1300-1500). Sau nhi\u1ec1u l\u1ea7n thay \u0111\u1ed5i, Zephirum \u0111\u01b0\u1ee3c \u0111\u1ed5i th\u00e0nh Zephiro v\u00e0 cu\u1ed1i c\u00f9ng l\u00e0 Zero. T\u1eeb Zero \u0111\u01b0\u1ee3c xu\u1ea5t hi\u1ec7n l\u1ea7n \u0111\u1ea7u ti\u00ean tr\u01b0\u1edbc c\u00f4ng ch\u00fang trong cu\u1ed1n De Arithmetica Opusculum c\u1ee7a t\u00e1c gi\u1ea3 Filippo Calandri in t\u1ea1i Florence-Italy v\u00e0o n\u0103m 1491.<\/p>\n

Tr\u00ean th\u1ef1c t\u1ebf, t\u1eeb Sifr trong ti\u1ebfng \u1ea2 R\u1eadp \u0111\u01b0\u1ee3c d\u1ecbch t\u1eeb ti\u1ebfng Sanskrit, b\u1eaft ngu\u1ed3n l\u00e0 t\u1eeb \u201cSunya\u201d ho\u1eb7c \u201cShunya\u201d, ngh\u0129a l\u00e0 tr\u1ed1ng r\u1ed7ng.<\/p>\n

D\u1eabu v\u1eady, s\u1ed1 0 v\u1ed1n t\u1ed3n t\u1ea1i \u1edf nhi\u1ec1u n\u1ec1n v\u0103n h\u00f3a kh\u00e1c nhau ch\u1ee9 kh\u00f4ng ri\u00eang g\u00ec \u1ea2 R\u1eadp. Theo d\u00f2ng l\u1ecbch s\u1eed, c\u00e1c nh\u00e0 kh\u1ea3o c\u1ed5 t\u1eadp trung nghi\u00ean c\u1ee9u s\u1ed1 0 t\u1ea1i 3 n\u1ec1n v\u0103n h\u00f3a c\u00f3 \u1ea3nh h\u01b0\u1edfng l\u1edbn \u0111\u1ebfn ng\u00e0y nay l\u00e0 v\u0103n h\u00f3a Babylon, v\u0103n h\u00f3a ng\u01b0\u1eddi M\u00e2y v\u00e0 v\u0103n h\u00f3a \u0110\u00f4ng \u1ea4n.<\/p>\n

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\"Ai<\/div>\n
<\/div>\n<\/div>\n

Ai C\u1eadp, Sumerian v\u00e0 Babylon<\/strong><\/span><\/p>\n

V\u0103n h\u00f3a Babylon v\u00e0 Maya \u0111\u1ec1u s\u1eed d\u1ee5ng nh\u1eefng k\u00fd hi\u1ec7u \u0111\u1eb7c bi\u1ec7t cho c\u00e1c s\u1ed1 tr\u00f2n nh\u01b0 1 tri\u1ec7u, 1 ngh\u00ecn, 1 tr\u0103m ngh\u00ecn\u2026 \u0110\u00e2y l\u00e0 c\u00e1ch \u0111\u1ec3 ph\u00e2n bi\u1ec7t gi\u1eefa 1 v\u1edbi 100 trong thang \u0111\u1ebfm 10 \u0111\u01a1n v\u1ecb c\u1ee7a h\u1ec7 th\u1ed1ng t\u00ednh to\u00e1n c\u1ed5.<\/p>\n

Ng\u01b0\u1eddi Ai C\u1eadp c\u1ed5 \u0111\u1ea1i, Sumerians v\u00e0 Babylon \u1edf mi\u1ec1n Nam Mesopotamia (Iraq ng\u00e0y nay) \u0111\u00e3 ph\u00e1t tri\u1ec3n h\u1ec7 th\u1ed1ng \u0111\u1ebfm l\u00e2u \u0111\u1eddi nh\u1ea5t, b\u1eaft \u0111\u1ea7u t\u1eeb n\u0103m 3000 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean.<\/p>\n

Ng\u01b0\u1eddi Ai C\u1eadp c\u1ed5 s\u1eed d\u1ee5ng h\u1ec7 th\u1ed1ng s\u1ed1 \u0111\u1ebfm l\u1ea5y 10 l\u00e0m \u0111\u01a1n v\u1ecb v\u00e0 c\u00f3 nh\u1eefng bi\u1ec3u t\u01b0\u1ee3ng nh\u1ea5t \u0111\u1ecbnh cho c\u00e1c s\u1ed1 100, 1000, 100000\u2026<\/p>\n

\n
\"Ai<\/div>\n
<\/div>\n<\/div>\n

\u0110\u1ed1i v\u1edbi c\u00e1c s\u1ed1 t\u1eeb 1 \u0111\u1ebfn 9, ng\u01b0\u1eddi Ai C\u1eadp s\u1eed d\u1ee5ng nh\u1eefng k\u00fd hi\u1ec7u kh\u00e1 \u0111\u01a1n gi\u1ea3n bao g\u1ed3m s\u1ef1 l\u1eb7p l\u1ea1i s\u1ed1 l\u01b0\u1ee3ng th\u00edch h\u1ee3p c\u1ee7a nh\u1eefng d\u1ea5u d\u1ecdc. V\u00ed d\u1ee5 s\u1ed1 1 l\u00e0 \u201c|\u201d c\u00f2n s\u1ed1 3 l\u00e0 \u201c|||\u201d.<\/p>\n

Trong khi \u0111\u00f3, nh\u1eefng s\u1ed1 l\u1edbn h\u01a1n 10 \u0111\u01b0\u1ee3c c\u00e1c k\u00fd gi\u1ea3 Ai C\u1eadp s\u1eed d\u1ee5ng b\u1eb1ng c\u00e1c bi\u1ec3u t\u01b0\u1ee3ng kh\u00e1 s\u00e1ng t\u1ea1o. S\u1ed1 10 \u0111\u01b0\u1ee3c \u0111\u00e1nh d\u1ea5u b\u1eb1ng ch\u1eef \u201cU\u201d ng\u01b0\u1ee3c, s\u1ed1 100 l\u00e0 h\u00ecnh cu\u1ed9n d\u00e2y, s\u1ed1 1000 l\u00e0 h\u00ecnh hoa sen\u2026<\/p>\n

Do ng\u01b0\u1eddi Ai C\u1eadp vi\u1ebft ch\u1eef s\u1ed1 c\u1ee7a h\u1ecd theo ch\u1eef t\u01b0\u1ee3ng h\u00ecnh n\u00ean h\u1ecd kh\u00f4ng c\u00f3 nhu c\u1ea7u bi\u1ec3u hi\u1ec7n ch\u1eef s\u1ed1 0 c\u0169ng nh\u01b0 ch\u01b0a coi tr\u1ecdng con s\u1ed1 n\u00e0y. Tuy nhi\u00ean, ng\u01b0\u1eddi Babylon l\u1ea1i kh\u00e1c.<\/p>\n

H\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi Babylon t\u1ed3n t\u1ea1i t\u1eeb n\u0103m 3000 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean. N\u00f3 ph\u1ee9c t\u1ea1p h\u01a1n h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi Ai C\u1eadp b\u1edfi ng\u01b0\u1eddi Babylon gi\u1eef nh\u1eefng b\u1ea3n ghi ch\u00e9p s\u1ed1 li\u1ec7u c\u1ee5 th\u1ec3 v\u1ec1 l\u01b0\u1ee3ng h\u00e0ng h\u00f3a giao d\u1ecbch, s\u1ed1 h\u00e0ng t\u1ed3n kho hay s\u1ed1 ti\u1ec1n h\u1ecd thu \u0111\u01b0\u1ee3c.<\/p>\n

\n
\"Ai<\/div>\n
<\/div>\n<\/div>\n

Ngo\u00e0i h\u1ec7 th\u1eadp ph\u00e2n s\u1eed d\u1ee5ng s\u1ed1 10 l\u00e0m \u0111\u01a1n v\u1ecb nh\u01b0 ng\u01b0\u1eddi Ai C\u1eadp, ng\u01b0\u1eddi Babylon c\u00f2n s\u1eed d\u1ee5ng h\u1ec7 nh\u1ecb th\u1eadp ph\u00e2n v\u1edbi s\u1ed1 20 l\u00e0m \u0111\u01a1n v\u1ecb. B\u1eb1ng c\u00e1ch n\u00e0y h\u1ecd c\u00f3 th\u1ec3 \u0111\u1ebfm v\u00e0 bi\u1ec3u t\u01b0\u1ee3ng s\u1ed1 li\u1ec7u d\u1ec5 d\u00e0ng h\u01a1n. \u1ea2nh h\u01b0\u1edfng c\u1ee7a h\u1ec7 nh\u1ecb th\u1eadp ph\u00e2n c\u0169ng t\u00e1c \u0111\u1ed9ng \u0111\u1ebfn ng\u00e0y nay khi s\u1ed1 60 trong h\u1ec7 nh\u1ecb th\u1eadp ph\u00e2n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i, v\u00ed d\u1ee5 nh\u01b0 60 gi\u00e2y\/ph\u00fat hay 60 ph\u00fat\/gi\u1edd l\u00e0 nh\u1eefng y\u1ebfu t\u1ed1 b\u1ecb \u1ea3nh h\u01b0\u1edfng t\u1eeb h\u1ec7 nh\u1ecb th\u1eadp ph\u00e2n.<\/p>\n

V\u00e0o kho\u1ea3ng n\u0103m 2600 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean, ng\u01b0\u1eddi Babylon s\u00e1ng t\u1ea1o ra m\u1ed9t c\u00e1ch vi\u1ebft m\u1edbi cho c\u00e1c con s\u1ed1 v\u1edbi bi\u1ec3u t\u01b0\u1ee3ng d\u1ec5 d\u00e0ng h\u01a1n v\u1edbi t\u00ean g\u1ecdi \u201cCuneuform\u201d. Theo \u0111\u00f3, bi\u1ec3u t\u01b0\u1ee3ng \u201cY\u201d t\u01b0\u1ee3ng tr\u01b0ng cho s\u1ed1 1 c\u00f2n \u201c<\u201d t\u01b0\u1ee3ng tr\u01b0ng cho s\u1ed1 10.<\/p>\n

Khi vi\u1ebft, c\u00e1c nh\u00e0 ch\u00e9p s\u00e1ch Babylon vi\u1ebft t\u1eeb 1 \u0111\u1ebfn 9 v\u1edbi c\u00e1c bi\u1ec3u t\u01b0\u1ee3ng \u201cY\u201d li\u1ec1n nhau. Khi \u0111\u1ea1t con s\u1ed1 10, h\u1ecd thay b\u1eb1ng bi\u1ec3u t\u01b0\u1ee3ng \u201c<\u201d v\u00e0 \u0111i\u1ec1n ti\u1ebfp c\u00e1c con s\u1ed1 \u0111\u01a1n v\u1ecb sau \u0111\u00f3. D\u1eabu v\u1eady, h\u1ec7 th\u1ed1ng \u0111\u1ebfm ph\u1ee9c t\u1ea1p n\u00e0y d\u1ec5 g\u00e2y nh\u1ea7m l\u1eabn khi kh\u00f4ng ph\u00e2n bi\u1ec7t c\u00e1c s\u1ed1 h\u00e0ng \u0111\u01a1n v\u1ecb c\u0169ng nh\u01b0 c\u00f3 k\u1ebft c\u1ea5u ch\u1eb7t ch\u1ebd. H\u1ec7 qu\u1ea3 l\u00e0 nhi\u1ec1u con s\u1ed1 c\u00f3 k\u00fd t\u1ef1 na n\u00e1 nhau, ho\u1eb7c d\u1ec5 g\u00e2y nh\u1ea7m l\u1eabn khi c\u00e1c nh\u00e0 ch\u00e9p s\u00e1ch vi\u1ebft sai.<\/p>\n

Trong th\u1eddi k\u1ef3 n\u00e0y, s\u1ed1 0 v\u1eabn kh\u00f4ng \u0111\u01b0\u1ee3c coi tr\u1ecdng khi ch\u1ec9 \u0111\u01b0\u1ee3c coi l\u00e0 bi\u1ec3u t\u01b0\u1ee3ng s\u1ed1 l\u01b0\u1ee3ng nh\u1ea5t \u0111\u1ecbnh nh\u01b0 s\u1ed1 10 \u201c<\u201d m\u00e0 kh\u00f4ng c\u00f3 \u00fd ngh\u0129a quan tr\u1ecdng n\u00e0o trong b\u1ed9 s\u1ed1 \u0111\u1ebfm.<\/p>\n

V\u0103n h\u00f3a Maya<\/strong><\/span><\/p>\n

V\u00e0o kho\u1ea3ng n\u0103m 400 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean, n\u1ec1n v\u0103n minh Maya (Mexico ng\u00e0y nay) ph\u00e1t tri\u1ec3n h\u1ec7 th\u1ed1ng s\u1ed1 \u0111\u1ebfm d\u1ef1a tr\u00ean 20 \u0111\u01a1n v\u1ecb. H\u1ecd d\u00f9ng m\u1ed9t h\u00ecnh ovan m\u00e0u \u0111\u1ecf \u0111\u1ec3 \u0111\u1ea1i di\u1ec7n cho s\u1ed1 0.<\/p>\n

Ng\u01b0\u1eddi Maya \u0111\u00e1nh nh\u1eefng d\u1ea5u ch\u1ea5m cho m\u1ed7i \u0111\u01a1n v\u1ecb v\u00e0 m\u1ed9t \u0111\u01b0\u1eddng g\u1ea1ch ngang cho m\u1ed7i 5 \u0111\u01a1n v\u1ecb. M\u1ed7i khi h\u1ebft 5 \u0111\u01a1n v\u1ecb h\u1ecd l\u1ea1i ch\u1ed3ng c\u00e1c s\u1ed1 l\u00ean nhau. \u0110\u1ebfn 20 \u0111\u01a1n v\u1ecb h\u1ecd vi\u1ebft m\u1ed9t h\u00ecnh ovan v\u00e0 \u0111\u00e1nh d\u1ea5u ch\u1ed3ng l\u00ean.<\/p>\n

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\"Ai<\/div>\n
<\/div>\n<\/div>\n

T\u01b0\u01a1ng t\u1ef1 nh\u01b0 ng\u01b0\u1eddi Babylon v\u00e0 Ai C\u1eadp, ng\u01b0\u1eddi Maya ph\u00e1t tri\u1ec3n s\u1ed1 0 v\u00ec l\u00fd do th\u1ea9m m\u1ef9 h\u01a1n l\u00e0 nghi\u00ean c\u1ee9u s\u00e2u \u00fd ngh\u0129a c\u1ee7a con s\u1ed1 n\u00e0y. B\u1edfi v\u1eady s\u1ed1 25 d\u1ec5 b\u1ecb nh\u1ea7m l\u1eabn v\u1edbi s\u1ed1 6 trong h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi Maya.<\/p>\n

\u1ea4n \u0110\u1ed9: \u00d4ng t\u1ed5 c\u1ee7a s\u1ed1 0 hi\u1ec7n \u0111\u1ea1i<\/strong><\/span><\/p>\n

Con s\u1ed1 0 hi\u1ec7n \u0111\u1ea1i ng\u00e0y nay b\u1eaft ngu\u1ed3n tr\u1ef1c ti\u1ebfp t\u1eeb n\u1ec1n v\u0103n h\u00f3a \u1ea4n \u0110\u1ed9. Nh\u1edd nhi\u1ec1u th\u1ebf k\u1ef7 th\u1eed nghi\u1ec7m, sai l\u1ea7m, tranh c\u00e3i\u2026 c\u00e1c nh\u00e0 to\u00e1n h\u1ecdc \u1ea4n \u0110\u1ed9 \u0111\u00e3 c\u00f3 \u0111\u00f3ng g\u00f3p v\u00f4 c\u00f9ng to l\u1edbn cho nh\u00e2n lo\u1ea1i ch\u1ec9 b\u1eb1ng vi\u1ec7c ph\u00e1t minh ra s\u1ed1 0.<\/p>\n

Sau khi n\u1ec1n v\u0103n minh Babylon v\u00e0 Maya s\u1ee5p \u0111\u1ed5, c\u00e1c h\u1ecdc gi\u1ea3 \u0111\u00e3 nghi\u00ean c\u1ee9u s\u00e2u h\u01a1n v\u1ec1 s\u1ed1 0. B\u1eaft \u0111\u1ea7u t\u1eeb th\u1ebf k\u1ef7 th\u1ee9 6 tr\u01b0\u1edbc c\u00f4ng nguy\u00ean, c\u00e1c h\u1ecdc gi\u1ea3 \u1ea4n \u0110\u1ed9 chuy\u1ec3n h\u1ec7 th\u1ed1ng \u0111\u1ebfm Brahmi c\u1ee7a h\u1ecd sang h\u1ec7 th\u1ed1ng \u0111\u1ebfm th\u1eadp ph\u00e2n, khai th\u00e1c c\u00e1c s\u1ed1 \u0111\u1ebfm ri\u00eang bi\u1ec7t t\u1eeb 1 \u0111\u1ebfn 9 c\u0169ng nh\u01b0 thi\u1ebft l\u1eadp h\u1ec7 th\u1ed1ng k\u00fd hi\u1ec7u ng\u1eafn g\u1ecdn cho c\u00e1c ch\u1eef s\u1ed1 l\u1edbn h\u01a1n 10.<\/p>\n

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\"Ai<\/div>\n
<\/div>\n<\/div>\n

V\u1edbi h\u1ec7 th\u1ed1ng \u0111\u1ebfm m\u1edbi n\u00e0y, s\u1ed1 0 ng\u00e0y c\u00e0ng \u0111\u00f3ng vai tr\u00f2 quan tr\u1ecdng v\u00e0 \u0111\u01b0\u1ee3c c\u1ea3i bi\u1ebfn d\u1ea7n. Ban \u0111\u1ea7u, s\u1ed1 0 v\u1eabn ch\u1ec9 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng m\u1ed9t d\u1ea5u ch\u1ea5m nh\u01b0ng d\u1ea7n \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n th\u00e0nh m\u1ed9t h\u00ecnh tr\u00f2n nh\u01b0 ng\u00e0y nay.<\/p>\n

V\u00e0o n\u0103m 458 sau c\u00f4ng nguy\u00ean, m\u1ed9t nghi\u00ean c\u1ee9u v\u1ec1 thi\u00ean v\u0103n h\u1ecdc c\u1ee7a \u1ea4n \u0110\u1ed9 \u0111\u00e3 s\u1eed d\u1ee5ng d\u1ea5u \u201c0\u201d thay th\u1ebf cho d\u1ea5u ch\u1ea5m. K\u1ec3 t\u1eeb \u0111\u00e2y, h\u1ec7 th\u1ed1ng t\u00ednh to\u00e1n c\u1ee7a ng\u01b0\u1eddi \u1ea4n \u0110\u1ed9 \u0111\u01b0\u1ee3c ho\u00e0n thi\u1ec7n v\u00e0 v\u1edbi s\u1ef1 ti\u1ec7n l\u1ee3i c\u0169ng nh\u01b0 \u01b0u vi\u1ec7t h\u01a1n so v\u1edbi c\u00e1c h\u1ec7 th\u1ed1ng \u0111\u1ebfm kh\u00e1c, m\u00f4 h\u00ecnh k\u00fd hi\u1ec7u s\u1ed1 n\u00e0y b\u1eaft \u0111\u1ea7u lan r\u1ed9ng ra to\u00e0n th\u1ebf gi\u1edbi trong nh\u1eefng th\u1ebf k\u1ef7 sau \u0111\u00f3.<\/p>\n

S\u1ef1 du h\u00e0nh c\u1ee7a s\u1ed1 0<\/strong><\/span><\/p>\n

H\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a \u1ea4n \u0110\u1ed9 l\u00e0 m\u1ed9t trong nh\u1eefng ph\u00e1t minh quan tr\u1ecdng c\u1ee7a nh\u00e2n lo\u1ea1i khi gi\u00fap con ng\u01b0\u1eddi \u0111\u1ea1t \u0111\u01b0\u1ee3c nh\u1eefng b\u01b0\u1edbc ti\u1ebfn quan tr\u1ecdng trong kinh t\u1ebf, x\u00e3 h\u1ed9i, khoa h\u1ecdc\u2026<\/p>\n

Ng\u01b0\u1eddi Trung Qu\u1ed1c \u00e1p d\u1ee5ng h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi \u1ea4n \u0110\u1ed9 t\u1eeb th\u1ebf k\u1ef7 th\u1ee9 8 sau c\u00f4ng nguy\u00ean. H\u1ecdc gi\u1ea3 Do Th\u00e1i Ben Ezra (1092-1167) \u0111\u01b0a h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi \u1ea4n \u0110\u1ed9 v\u00e0 Ph\u01b0\u01a1ng \u0110\u00f4ng n\u00e0y tr\u1edf v\u1ec1 Trung \u0110\u00f4ng sau chuy\u1ebfn \u0111i du l\u1ecbch c\u1ee7a m\u00ecnh. T\u1eeb \u0111\u00e2y, h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi \u1ea4n \u0110\u1ed9 tr\u00e0n v\u00e0o ph\u01b0\u01a1ng T\u00e2y qua T\u00e2y Ban Nha nh\u1edd c\u00e1c th\u01b0\u01a1ng gia \u1ea2 R\u1eadp.<\/p>\n

Ng\u01b0\u1eddi \u1ea2 R\u1eadp \u0111\u00e1nh gi\u00e1 r\u1ea5t cao h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a \u1ea4n \u0110\u1ed9 v\u00e0 th\u1eadm ch\u00ed thay th\u1ebf ch\u00fang cho h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a h\u1ecd. Th\u1eadm ch\u00ed h\u1ec7 th\u1ed1ng \u0111\u1ebfm n\u00e0y d\u1ea7n \u0111\u01b0\u1ee3c d\u00f9ng trong ti\u1ebfng \u1ea2 R\u1eadp c\u0169ng nh\u01b0 c\u00e1c t\u00e1c ph\u1ea9m tri\u1ebft h\u1ecdc.<\/p>\n

V\u00e0o th\u1ebf k\u1ef7 11-12 sau c\u00f4ng nguy\u00ean, n\u1ec1n v\u0103n minh \u1ea2 R\u1eadp \u0111\u1ea1t \u0111\u01b0\u1ee3c nh\u1eefng kh\u00e1m ph\u00e1 khoa h\u1ecdc \u0111\u1ec9nh cao v\u00e0 lan truy\u1ec1n \u0111\u1ebfn Ch\u00e2u \u00c2u.<\/b><\/p>\n

Trong th\u1eddi k\u1ef3 n\u00e0y, m\u1ed9t cu\u1ed9c c\u00e1ch m\u1ea1ng nh\u1ecf v\u1ec1 v\u0103n h\u00f3a di\u1ec5n ra t\u1ea1i Ch\u00e2u \u00c2u khi d\u00e2n s\u1ed1 b\u00f9ng n\u1ed5 v\u00e0 c\u00e1c th\u00e0nh ph\u1ed1 l\u1edbn ra \u0111\u1eddi li\u00ean ti\u1ebfp. Nh\u1eefng nh\u00e0 cai tr\u1ecb cho x\u00e2y d\u1ef1ng h\u00e0ng lo\u1ea1t c\u00e1c c\u00f4ng tr\u00ecnh nh\u1eb1m \u0111\u00e1p \u1ee9ng nhu c\u1ea7u gia t\u0103ng d\u00e2n s\u1ed1. H\u1ec7 qu\u1ea3 c\u1ee7a c\u00f4ng cu\u1ed9c \u201c\u0111\u1ea7u t\u01b0 v\u00e0o c\u01a1 s\u1edf h\u1ea1 t\u1ea7ng\u201d n\u00e0y \u0111\u00e3 k\u00edch th\u00edch n\u1ec1n kinh t\u1ebf, t\u0103ng c\u01b0\u1eddng giao d\u1ecbch th\u01b0\u01a1ng m\u1ea1i.<\/p>\n

Trong qu\u00e1 tr\u00ecnh giao th\u01b0\u01a1ng, nh\u1eefng c\u00f4ng tr\u00ecnh nghi\u00ean c\u1ee9u khoa h\u1ecdc \u0111\u1ebfn t\u1eeb \u1ea2 R\u1eadp thu h\u00fat nh\u1eefng th\u01b0\u01a1ng nh\u00e2n ph\u01b0\u01a1ng T\u00e2y, \u0111\u1eb7c bi\u1ec7t l\u00e0 h\u1ec7 th\u1ed1ng s\u1ed1 \u0111\u1ebfm r\u1ea5t h\u1eefu \u00edch trong kinh doanh.<\/p>\n

Tuy nhi\u00ean, x\u00e3 h\u1ed9i Ph\u01b0\u01a1ng T\u00e2y v\u1eabn ch\u01b0a ch\u00fa \u00fd \u0111\u1ebfn h\u1ec7 th\u1ed1ng \u0111\u1ebfm m\u1edbi n\u00e0y cho \u0111\u1ebfn khi nh\u00e0 to\u00e1n h\u1ecdc ng\u01b0\u1eddi \u00dd Fibonacci \u0111\u01b0a ra kh\u00e1i ni\u1ec7m s\u1ed1 0 trong t\u00e1c ph\u1ea9m c\u1ee7a \u00f4ng l\u00e0 Liber Abaci v\u00e0o n\u0103m 1202. L\u1edbn l\u00ean t\u1ea1i B\u1eafc Phi khi cha \u00f4ng l\u00e0 quan ch\u1ee9c ph\u1ee5 tr\u00e1ch h\u1ea3i quan, nh\u00e0 to\u00e1n h\u1ecdc Fibonacci \u0111\u00e3 h\u1ecdc \u0111\u01b0\u1ee3c h\u1ec7 th\u1ed1ng \u1ed1 \u0111\u1ebfm \u1ea2 R\u1eadp t\u1eeb nh\u1eefng ng\u01b0\u1eddi H\u1ed3i gi\u00e1o.<\/p>\n

\n
\"Ai<\/div>\n
\n

Nh\u00e0 to\u00e1n h\u1ecdc Fibonacci<\/p>\n<\/div>\n<\/div>\n

Khi c\u00f2n l\u00e0 thanh ni\u00ean, Fibonacci \u0111\u00e3 \u0111i du l\u1ecbch kh\u1eafp mi\u1ec1n \u0110\u1ecba Trung H\u1ea3i, th\u0103m c\u00e1c trung t\u00e2m gi\u00e1o d\u1ee5c \u1edf Ai C\u1eadp, Syria, Hy L\u1ea1p v\u00e0 th\u1eadm ch\u00ed l\u00e0 mi\u1ec1n nam n\u01b0\u1edbc Ph\u00e1p. Do cha m\u00ecnh l\u00e0m quan ch\u1ee9c h\u1ea3i quan n\u00ean \u00f4ng c\u00f3 c\u01a1 h\u1ed9i \u0111\u01b0\u1ee3c quan s\u00e1t c\u00e1c h\u1ec7 th\u1ed1ng s\u1ed1 \u0111\u1ebfm kh\u00e1c nhau c\u1ee7a nhi\u1ec1u n\u1ec1n v\u0103n h\u00f3a.<\/p>\n

K\u1ec3 t\u1eeb \u0111\u00f3, \u00f4ng nh\u1eadn ra nh\u1eefng \u01b0u \u0111i\u1ec3m n\u1ed5i tr\u1ed9i c\u1ee7a h\u1ec7 th\u1ed1ng \u0111\u1ebfm \u1ea4n \u0110\u1ed9-\u1ea2 R\u1eadp khi b\u1ea5t k\u1ef3 s\u1ed1 n\u00e0o c\u0169ng c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c vi\u1ebft v\u1edbi nh\u1eefng con s\u1ed1 \u0111\u01a1n v\u1ecb t\u1eeb 0 \u0111\u1ebfn 9 m\u1ed9t c\u00e1ch ng\u1eafn g\u1ecdn, d\u1ec5 ph\u00e2n bi\u1ec7t.<\/p>\n

M\u1ed9t h\u1ecdc gi\u1ea3 kh\u00e1c c\u0169ng c\u00f3 c\u00f4ng r\u1ea5t l\u1edbn trong vi\u1ec7c truy\u1ec1n b\u00e1 s\u1ed1 0 v\u00e0 h\u1ec7 th\u1ed1ng \u0111\u1ebfm \u1ea2 R\u1eadp l\u00e0 Gerbert d’Aurillac. Sinh ra t\u1ea1i mi\u1ec1n nam n\u01b0\u1edbc Ph\u00e1p v\u00e0o n\u0103m 945, \u00f4ng d’Aurillac tr\u1edf th\u00e0nh m\u1ed9t tu s\u0129 trong vi\u1ec7n thi\u00ean ch\u00faa gi\u00e1o \u1edf Aurillac-Ph\u00e1p. Trong kho\u1ea3ng n\u0103m 967-970 sau c\u00f4ng nguy\u00ean, khi \u0111ang du l\u1ecbch T\u00e2y Ban Nha, v\u1ecb tu s\u0129 n\u00e0y \u1ea5n t\u01b0\u1ee3ng m\u1ea1nh v\u1edbi h\u1ec7 th\u1ed1ng to\u00e1n h\u1ecdc, thi\u00ean v\u0103n h\u1ecdc c\u0169ng nh\u01b0 s\u1ed1 \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi \u1ea2 R\u1eadp.<\/p>\n

Sau nh\u1eefng chuy\u1ebfn \u0111i du l\u1ecbch v\u00e0 h\u1ecdc h\u1ecfi ki\u1ebfn th\u1ee9c t\u1eeb h\u1ec7 th\u1ed1ng t\u00ednh to\u00e1n c\u1ee7a ng\u01b0\u1eddi \u1ea2 R\u1eadp, v\u1ecb tu s\u0129 n\u00e0y b\u1eaft \u0111\u1ea7u c\u00f3 nh\u1eefng nghi\u00ean c\u1ee9u chuy\u00ean s\u00e2u. \u0110\u1ebfn khi tr\u1edf th\u00e0nh gi\u00e1o ho\u00e0ng Sylveste II v\u00e0o n\u0103m 999, \u00f4ng b\u1eaft \u0111\u1ea7u truy\u1ec1n b\u00e1 r\u1ed9ng r\u00e3i nh\u1eefng ki\u1ebfn th\u1ee9c khoa h\u1ecdc v\u1ec1 t\u00ednh to\u00e1n v\u00e0 thi\u00ean v\u0103n, qua \u0111\u00f3 g\u00f3p c\u00f4ng l\u1edbn cho vi\u1ec7c m\u1edf r\u1ed9ng h\u1ec7 th\u1ed1ng \u0111\u1ebfm hi\u1ec7n \u0111\u1ea1i ng\u00e0y nay.<\/p>\n

Ng\u00e0y nay, Gi\u00e1o ho\u00e0ng Sylveste II \u0111\u01b0\u1ee3c coi l\u00e0 v\u1ecb h\u1ecdc gi\u1ea3 v\u0129 \u0111\u1ea1i c\u00f3 c\u00f4ng truy\u1ec1n b\u00e1 c\u00e1c ch\u1eef s\u1ed1 \u1ea2 R\u1eadp v\u00e0o n\u1ec1n v\u0103n minh Ch\u00e2u \u00c2u.<\/p>\n

S\u1ed1 0 ng\u00e0y nay<\/strong><\/span><\/p>\n

Trong th\u1eddi k\u1ef3 \u0111\u1ea7u, ch\u00ednh ph\u1ee7 c\u1ee7a m\u1ed9t s\u1ed1 n\u01b0\u1edbc Ch\u00e2u \u00c2u nh\u01b0 Italy hay \u0110\u1ee9c v\u1eabn c\u00f2n nghi ng\u1edd v\u1ec1 h\u1ec7 th\u1ed1ng \u0111\u1ebfm do Fibonacci truy\u1ec1n b\u00e1 do kh\u00f4ng h\u1ec1 d\u1ec5 d\u00e0ng thay \u0111\u1ed5i t\u01b0 t\u01b0\u1edfng c\u1ed1 h\u1eefu \u0111\u00e3 t\u1ed3n t\u1ea1i nhi\u1ec1u n\u0103m v\u1edbi h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u0169.<\/p>\n

M\u1eb7c d\u00f9 c\u00e1c th\u01b0\u01a1ng gia \u0111\u00e3 s\u1eed d\u1ee5ng s\u1ed1 0 v\u00e0 h\u1ec7 th\u1ed1ng \u0111\u1ebfm m\u1edbi trong vi\u1ec7c t\u00ednh to\u00e1n nh\u01b0ng v\u0103n h\u00f3a s\u1ed1 \u0111\u1ebfm \u1ea2 R\u1eadp n\u00e0y v\u1eabn ch\u01b0a \u0111\u01b0\u1ee3c lan t\u1ecfa ra to\u00e0n x\u00e3 h\u1ed9i. M\u00e3i \u0111\u1ebfn t\u1eadn th\u1ebf k\u1ef7 th\u1ee9 16, h\u1ec7 th\u1ed1ng \u0111\u1ebfm c\u1ee7a ng\u01b0\u1eddi \u1ea2 R\u1eadp v\u00e0 s\u1ed1 0 m\u1edbi \u0111\u01b0\u1ee3c c\u00f4ng nh\u1eadn l\u00e0 ti\u00eau chu\u1ea9n cho to\u00e1n h\u1ecdc v\u00e0 d\u00f9ng r\u1ed9ng r\u00e3i \u1edf Ch\u00e2u \u00c2u.<\/p>\n

B\u1edfi v\u1eady, h\u1ec7 th\u1ed1ng gi\u1ea3ng d\u1ea1y s\u1ed1 h\u1ecdc ng\u00e0y nay h\u1ea7u nh\u01b0 g\u1ea7n gi\u1ed1ng v\u1edbi nh\u1eefng g\u00ec \u0111\u01b0\u1ee3c gi\u1ea3ng d\u1ea1y t\u1ea1i c\u00e1c tr\u01b0\u1eddng h\u1ecdc v\u00e0o th\u1eadp ni\u00ean 1500.<\/p>\n

Tuy v\u1eady, s\u1ed1 0 kh\u00f4ng ch\u1ec9 d\u1eebng l\u1ea1i \u1edf m\u1ea3ng s\u1ed1 h\u1ecdc v\u00e0 gi\u00e1o d\u1ee5c m\u00e0 c\u00f2n lan t\u1ecfa ra to\u00e0n ng\u00e0nh to\u00e1n h\u1ecdc, khoa h\u1ecdc. S\u1ed1 0 l\u00e0 n\u1ec1n t\u1ea3ng cho vi\u1ec7c x\u00e2y d\u1ef1ng h\u1ec7 t\u1ecda \u0111\u1ed9 Cartesian c\u1ee7a Rene Descartes m\u00e0 ch\u00fang ta \u0111ang s\u1eed d\u1ee5ng ng\u00e0y nay.<\/p>\n

Trong khi \u0111\u00f3, Isaac Newton v\u00e0 Gottfried Wilhelm von Liebnis d\u1ef1a v\u00e0o s\u1ed1 0 \u0111\u1ec3 t\u1ea1o n\u00ean nh\u1eefng l\u00fd thuy\u1ebft n\u1ec1n t\u1ea3ng cho t\u00ednh to\u00e1n. Kh\u00f4ng c\u00f3 h\u1ec7 th\u1ed1ng t\u00ednh to\u00e1n ho\u00e0n ch\u1ec9nh n\u00e0y, con ng\u01b0\u1eddi s\u1ebd kh\u00f4ng th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c c\u00e1c th\u00e0nh t\u1ef1u to l\u1edbn trong v\u1eadt l\u00fd, k\u1ef9 thu\u1eadt, khoa h\u1ecdc m\u00e1y t\u00ednh v\u00e0 m\u1ed9t th\u1ecb tr\u01b0\u1eddng t\u00e0i ch\u00ednh, kinh t\u1ebf ho\u00e0n thi\u1ec7n nh\u01b0 ng\u00e0y nay.<\/p>\n","protected":false},"excerpt":{"rendered":"

H\u00e0ng th\u00e1ng, ch\u00fang ta nh\u1eadn l\u01b0\u01a1ng b\u1eb1ng ti\u1ec1n m\u1eb7t ho\u1eb7c qua chuy\u1ec3n kho\u1ea3n v\u00e0 h\u1ea7u nh\u01b0 b\u1ea5t c\u1ee9 nh\u00e2n vi\u00ean n\u00e0o c\u0169ng mu\u1ed1n c\u00f3 c\u00e0ng nhi\u1ec1u s\u1ed1 0 c\u00e0ng t\u1ed1t. Tuy nhi\u00ean, \u0111a ph\u1ea7n m\u1ecdi ng\u01b0\u1eddi ng\u00e0y nay kh\u00f4ng bi\u1ebft \u0111\u1ebfn l\u1ecbch s\u1eed c\u1ee7a con s\u1ed1 \u201cth\u1ea7n th\u00e1nh\u201d n\u00e0y. \u00a0 V\u00e0o cu\u1ed1i n\u0103m 1999, c\u1ea3 …<\/p>\n","protected":false},"author":4,"featured_media":6218,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46,64,68],"tags":[],"class_list":["post-6215","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ban-le","category-kinh-nghiem-ban-le","category-tai-chinh-quan-ly"],"yoast_head":"\nAi c\u0169ng mu\u1ed1n nh\u1eadn ti\u1ec1n c\u00f3 th\u00eam nhi\u1ec1u s\u1ed1 0 nh\u01b0ng \u00edt ai bi\u1ebft l\u1ecbch s\u1eed l\u00e2u \u0111\u1eddi c\u1ee7a n\u00f3 - Th\u1ecb Tr\u01b0\u1eddng S\u1ec9 Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/thitruongsi.com\/kinh-nghiem\/ai-cung-muon-nhan-tien-co-them-nhieu-so-0-nhung-it-ai-biet-lich-su-lau-doi-cua-no\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ai c\u0169ng mu\u1ed1n nh\u1eadn ti\u1ec1n c\u00f3 th\u00eam nhi\u1ec1u s\u1ed1 0 nh\u01b0ng \u00edt ai bi\u1ebft l\u1ecbch s\u1eed l\u00e2u \u0111\u1eddi c\u1ee7a n\u00f3 - Th\u1ecb Tr\u01b0\u1eddng S\u1ec9 Blog\" \/>\n<meta property=\"og:description\" content=\"H\u00e0ng th\u00e1ng, ch\u00fang ta nh\u1eadn l\u01b0\u01a1ng b\u1eb1ng ti\u1ec1n m\u1eb7t ho\u1eb7c qua chuy\u1ec3n kho\u1ea3n v\u00e0 h\u1ea7u nh\u01b0 b\u1ea5t c\u1ee9 nh\u00e2n vi\u00ean n\u00e0o c\u0169ng mu\u1ed1n c\u00f3 c\u00e0ng nhi\u1ec1u s\u1ed1 0 c\u00e0ng t\u1ed1t. 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