{"id":7738,"date":"2020-12-05T05:55:58","date_gmt":"2020-12-04T22:55:58","guid":{"rendered":"http:\/\/tamhoc.org\/2020\/12\/05\/chan-kinh-toan-hoc\/"},"modified":"2020-12-05T05:55:58","modified_gmt":"2020-12-04T22:55:58","slug":"chan-kinh-toan-hoc","status":"publish","type":"post","link":"https:\/\/tamhoc.org\/trang-chu\/2020\/12\/05\/chan-kinh-toan-hoc\/","title":{"rendered":"Ch\u00e2n Kinh & To\u00e1n H\u1ecdc"},"content":{"rendered":"

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\n<\/p>\n

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Ch\u00e2n Kinh<\/span> & To\u00e1n H\u1ecdc<\/i><\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

L\u00ea Huy Tr\u1ee9, MSEE<\/i><\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span>1.\u00a0\u00a0\u00a0 <\/b>Gi\u1edbi Thi\u1ec7u<\/span><\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Trong kinh Di\u1ec7u Ph\u00e1p Li\u00ean Hoa<\/span> (sa. saddharmapu\u1e47\u1e0dar\u012bka-s\u016btra), hay Ph\u00e1p Hoa<\/span>, Ph\u1eadt \u00e1m ch\u1ec9<\/span> ba c\u1ed7 xe (Tam Th\u1eeba<\/span>) c\u0169ng ch\u1ec9 l\u00e0 th\u00e0nh ph\u1ea7n<\/span> c\u1ee7a m\u1ed9t c\u1ed7 xe, l\u00e0 Nh\u1ea5t Th\u1eeba<\/span> (sa. ekay\u0101na)<\/i><\/b> v\u00e0 kinh ch\u1ec9 d\u1ea1y tu\u1ef3 theo kh\u1ea3 n\u0103ng t\u00e2m tr\u00ed<\/span>, ti\u1ebfp thu<\/span> b\u1ea5t \u0111\u1ed3ng c\u1ee7a m\u1ed7i Ph\u1eadt T\u1eed<\/span>.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

T\u00f4i c\u0169ng nghe nh\u01b0 v\u1ea7y<\/span>:\u00a0 Di\u1ec7u Ph\u00e1p Li\u00ean Hoa Kinh<\/span> l\u00e0 Vua c\u1ee7a t\u1ea5t c\u1ea3 c\u00e1c kinh \u0111i\u1ec3n<\/span> Ph\u1eadt Gi\u00e1o<\/span>.\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Theo t\u00f4i th\u00ec t\u1ea5t c\u1ea3 c\u00e1c Ch\u00e2n Kinh<\/span> Ph\u1eadt Gi\u00e1o<\/span> \u0111\u1ec1u l\u00e0 \u2018vua\u2019 c\u1ee7a t\u1ea5t c\u1ea3 kinh \u0111i\u1ec3n<\/span>.\u00a0 T\u1ea5t c\u1ea3 84000 ph\u00e1p m\u00f4n<\/span> nh\u01b0 nh\u1eefng d\u01b0\u1ee3c v\u01b0\u01a1ng<\/span> c\u1ee9u kh\u1ed5<\/span> r\u1ea5t h\u1eefu hi\u1ec7u cho m\u1ed7i c\u0103n b\u1ec7nh v\u00f4 minh<\/span> c\u1ee7a ch\u00fang sinh<\/span>.\u00a0 Nh\u01b0ng h\u00ecnh nh\u01b0 t\u00f4ng ph\u00e1i<\/span> (th\u1eeba) n\u00e0o c\u0169ng c\u00f2n ch\u1ea5p ng\u00e3<\/span>, ph\u00e2n bi\u1ec7t<\/span> nh\u1ecb nguy\u00ean<\/span>, t\u1ef1 phong cho m\u00ecnh l\u00e0 \u2018thi\u00ean th\u01b0\u1ee3ng thi\u00ean h\u1ea1<\/span> duy ng\u00e3 \u0111\u1ed9c t\u00f4n<\/span>.\u2019\u00a0 T\u00f4i kh\u00f4ng ngh\u0129 \u0110\u1ee9c Th\u1ebf T\u00f4n<\/span> d\u1ea1y ph\u00e1p ch\u1ea5p<\/span> ng\u00e3 th\u01b0\u1ee3ng m\u1ea1n nh\u01b0 v\u1eady m\u00e0<\/span> theo t\u00f4i hi\u1ec3u th\u00ec Ng\u00e0i s\u00e1ng l\u1eadp<\/span> ra \u2018\u0111\u1ea1o Ph\u1eadt t\u00e2n th\u1eddi\u2019 2600 n\u0103m v\u1ec1 tr\u01b0\u1edbc v\u00ec Ng\u00e0i th\u1ea5y nh\u1eefng \u0111\u1ea1o kh\u00e1c \u1edf \u1ea4n \u0110\u1ed9<\/span> th\u1eddi \u0111\u00f3 h\u00ecnh nh\u01b0 \u2018\u0111i tr\u1eadt \u0111\u01b0\u1eddng r\u1ea7y\u2019 n\u00ean Ng\u00e0i ch\u1ec9 \u0111i\u1ec1u ch\u1ec9nh<\/span> l\u1ea1i?\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

C\u00f3 l\u1ebd B\u00e1t Nh\u00e3 T\u00e2m Kinh<\/span> l\u00e0 \u2018duy\u00ean kh\u1edfi Ph\u1eadt \u0110\u00e0\u2019 \u0111\u1ed1i v\u1edbi t\u00f4i n\u00ean t\u00f4i h\u01a1i thi\u00ean v\u1ecb<\/span> c\u1ee9 t\u01b0\u1edfng kinh n\u00e0y l\u00e0 \u2018S\u01b0 t\u1ed5 ch\u00e2n kinh\u2019 (Master Sutra.)\u00a0 Kinh n\u00e0y c\u1ee9 nh\u01b0 l\u00e0 tuy\u1ec7t k\u1ef7 \u2018v\u00f4 chi\u00eau th\u1eafng h\u1eefu<\/span> chi\u00eau\u2019 thi\u1ec7n ngh\u1ec7<\/span> t\u00ecm th\u1ea5y<\/span> ch\u1ed5 h\u1ed5ng.\u00a0 N\u00f3 gi\u00fap t\u00f4i th\u1ea5y \u0111\u00e2u \u0111\u00e2u<\/span> c\u0169ng c\u00f3 l\u1ed7 h\u1ed5ng tr\u1ed1ng kh\u00f4ng c\u1ee7a v\u00f2ng tr\u00f2n l\u1edbn l\u1eabn nh\u1ecf \u0111ang xoay \u0111\u1ec3 \u2018th\u1ecdc g\u1eady hai b\u00e1nh xe\u2019 l\u1edbn nh\u1ecf \u0111\u00f3 c\u0169ng nh\u01b0 \u1ee9ng d\u1ee5ng<\/span> tr\u00ed tu\u1ec7<\/span> v\u00f4 chi\u00eau n\u00e0y v\u00e0o trong \u0111\u1eddi<\/span> s\u1ed1ng, tri\u1ebft l\u00fd, to\u00e1n h\u1ecdc, khoa h\u1ecdc, k\u1ef7 thu\u1eadt, v\u1eadt l\u00fd<\/span>, v\u0169 tr\u1ee5<\/span> v\u00e0 t\u00f4n gi\u00e1o<\/span>.\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Nguy\u00ean t\u1eafc c\u1ee7a v\u00f4 chi\u00eau l\u00e0 b\u1ea5t \u0111\u1ed9ng<\/span> nh\u01b0ng qu\u00e1n tr\u00ed<\/span> tu\u1ec7 \u0111\u1ec3 th\u1ea5y c\u00e1i s\u01a1 h\u1edf c\u1ee7a h\u1eefu chi\u00eau v\u00ec h\u1eefu chi\u00eau (s\u1eafc) lu\u00f4n \u0111\u1ed9ng, c\u00f3 s\u1edf tr\u1ee5 v\u00f4 th\u01b0\u1eddng<\/span> n\u00ean s\u1ebd nhi sinh m\u1ed9t c\u00e1i l\u1ed5 h\u1ed5ng tr\u1ed1ng \u2018kh\u00f4ng anh minh\u2019 nh\u01b0ng ch\u1ee9a \u0111\u1ea7y v\u00f4 minh<\/span> c\u1ee7a tham s\u00e2n si<\/span> v\u00e0 \u0111au kh\u1ed5<\/span> \u0111\u1ea7y khuy\u1ebft \u0111i\u1ec3m \u0111\u1ec3 v\u00f4 chi\u00eau th\u1eeba c\u01a1 t\u1ee9c kh\u1eafc \u0111i\u1ec3m th\u1eb3ng v\u00e0o t\u00e2m s\u1eafc b\u1ea3n lai di\u1ec7n m\u1ee5c<\/span> c\u1ee7a n\u00f3.<\/i><\/span><\/p>\n

\u00a0<\/span><\/p>\n

T\u00f4i c\u00f3 t\u1eadt l\u00e0m bi\u1ebfng v\u00e0 kh\u00f4ng ki\u00ean nh\u1eabn<\/span> \u0111\u1ec3 \u0111\u1ecdc h\u1ebft b\u1ed9 kinh<\/span> B\u00e1t Nh\u00e3<\/span> c\u0169ng nh\u01b0 b\u1ea5t c\u1ee9 b\u1ed9 kinh<\/span> kh\u00e1c ch\u1ec9 c\u00f3 h\u1ecdc l\u00f3m<\/span> v\u00e0i ba ch\u1eef:\u00a0 S\u1eafc l\u00e0 Kh\u00f4ng; Kh\u00f4ng l\u00e0 S\u1eafc!\u00a0 R\u1ed3i th\u00ec \u0111\u1ecdc nh\u01b0 v\u1eb9t v\u1edbi t\u00e2m si \u0111\u1ed9n<\/span>, l\u00f2ng ngu mu\u1ed9i<\/span>, tr\u00ed v\u00f4 minh<\/span> cho \u0111\u1ebfn<\/span> b\u00e2y gi\u1edd v\u1eabn kh\u00f4ng hi\u1ec3u n\u00f3 l\u00e0 c\u00e1i qu\u00e1i \u0111\u1ea3n (ma qu\u00e1i<\/span>, spooky) g\u00ec n\u1eefa?<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Nh\u01b0ng r\u1ed3i th\u00ec c\u00e1i S\u1eafc Kh\u00f4ng<\/span> n\u00e0y nh\u1eadp t\u00e2m<\/span>, kh\u00f4ng mu\u1ed1n vi\u1ebft ra c\u0169ng kh\u00f4ng \u0111\u01b0\u1ee3c v\u00ec v\u1eady<\/span> t\u00f4i ph\u1ea3i t\u1ed1ng n\u00f3 l\u00ean internet \u0111\u1ec3 c\u00f9ng nhau tu h\u1ecdc<\/span>.<\/span><\/p>\n

\u00a0
<\/span>2.\u00a0\u00a0\u00a0 <\/b>B\u00e1t Nh\u00e3 T\u00e2m Kinh<\/span> v\u00e0 To\u00e1n \u0110\u1ea1i S\u1ed1<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

T\u00f4i xin d\u00f9ng to\u00e1n \u0111\u1ea1i s\u1ed1 \u0111\u1ec3 ch\u1ee9ng minh<\/span>, S\u1eafc l\u00e0 Kh\u00f4ng v\u00e0 Kh\u00f4ng l\u00e0 S\u1eafc trong B\u00e1t Nh\u00e3 T\u00e2m Kinh<\/span>:<\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

The following is my mathematical proof for Form = Emptiness in Buddhism Heart Sutra:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Let, a = b where, form is a = 1, and Emptiness = 0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u0110\u1eb7t, a = b v\u00e0 S\u1eafc l\u00e0 a = 1, Kh\u00f4ng = 0, V\u00f4 S\u1eafc<\/span> = -1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u1eaft \u0111\u1ea7u v\u1edbi c\u00f4ng th\u1ee9c<\/span> \u0111\u01a1n gi\u1ea3n<\/span> tr\u00ean:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Start with the above simple equation:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a = b \u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Nh\u00e2n 2 v\u1ebf cho b:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Multiply both sides by b:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

ab = b2<\/sup><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Tr\u1eeb a2\u00a0 <\/sup>t\u1eeb 2 v\u1ebf v\u00e0 \u2018factorize:\u2019<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Subtract a2<\/sup> from both sides and factorize: <\/span><\/p>\n

\u00a0<\/span><\/p>\n

ab-a2 <\/sup>= b2<\/sup>-a2<\/sup><\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a(b-a) = (b+a)(b-a)<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u0110\u01a1n gi\u1ea3n<\/span> h\u00f3a v\u00e0 c\u1ecdng -1 cho m\u1ed7i v\u1ebf:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Simplify and add -1 to both sides:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a = b+a<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a-1 = b+a-1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u00e2y gi\u1edd t\u1eeb a = b<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Now since a = b<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u1eaft \u0111\u1ea7u t\u1eeb \u0111i\u1ec1m ch\u1ee9ng minh<\/span> n\u00e0y, ch\u00fang ta<\/span> ph\u1ea3i vi\u1ebft nh\u01b0 th\u1ebf n\u00e0y:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

The starting point of this proof, we can write this as:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a-1 = 2a-1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

V\u00e0 trong tr\u01b0\u1eddng h\u1ee3p<\/span> n\u01a1i a = 1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

And in the case where a =1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Ch\u00fang ta<\/span> c\u00f3:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

We have:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

1-1 = 2-1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Proved,<\/span><\/p>\n

0 = 1<\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u0110\u00e3 ch\u1ee9ng minh<\/span>, Kh\u00f4ng = S\u1eafc<\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

T\u00f3m l\u1ea1i<\/span>:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u00a0\u201cIn the arithmetic of love, one plus one equals everything, and two minus one equals nothing.\u201d<\/i>\u00a0 Mignon McLaughlin<\/span><\/p>\n

\u00a0<\/span><\/p>\n

T\u00f4i xin phi\u1ebfm \u2018d\u1ecbch v\u00e0 t\u1ea3:\u2019<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Trong to\u00e1n h\u1ecdc c\u1ee7a t\u00ecnh y\u00eau, 1 + 1 = t\u1ea5t c\u1ea3, v\u00e0 2 – 1 = Kh\u00f4ng.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Trong v\u0103n ch\u01b0\u01a1ng<\/span> l\u00e3ng m\u1ea1n<\/span>: M\u00ecnh v\u1edbi Ta l\u00e0 t\u1ea5t c\u1ea3 tr\u00ean \u0111\u1eddi, v\u00e0 ch\u00fang ta<\/span> thi\u1ebfu nhau th\u00ec \u0111\u1eddi v\u00f4 ngh\u0129a<\/span>.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Theo tri\u1ebft l\u00fd: M\u00ecnh v\u1edbi Ta tuy 2 m\u00e0 1, v\u00e0 Ta v\u1edbi M\u00ecnh tuy 1 m\u00e0 2,\u00a0 M\u00e0 2 thi\u1ebfu 1 th\u00ec C\u00f3 c\u0169ng nh\u01b0 Kh\u00f4ng<\/span>.\u00a0 Nh\u1ecb m\u00e0 tr\u1eeb m\u1ed9t th\u00ec kh\u00f4ng c\u00f2n nh\u1ecb n\u1eefa m\u00e0 tr\u1edf th\u00e0nh<\/span> B\u1ea5t Nh\u1ecb<\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Theo tri\u1ebft l\u00fd Ph\u1eadt<\/span> Gi\u00e1o, B\u00e1t Nh\u00e3 T\u00e2m Kinh<\/span> th\u00ec S\u1eafc = Kh\u00f4ng; hay 1 = 0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

T\u00f4i c\u0169ng xin d\u00f9ng to\u00e1n \u0111\u1ea1i s\u1ed1 \u0111\u1ec3 ch\u1ee9ng minh<\/span>, Nh\u1ecb Nguy\u00ean<\/span> nhi sinh Tam Th\u1eeba<\/span>; Nh\u1ecb Nguy\u00ean<\/span> = Tam Th\u1eeba<\/span>; hay 1+1 = 3<\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

The following is my mathematical proof for Form = Emptiness in Buddhism Heart Sutra:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Let, a = b where, a = 1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u0110\u1eb7t, a = b v\u00e0 a = 1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u1eaft \u0111\u1ea7u v\u1edbi c\u00f4ng th\u1ee9c<\/span> \u0111\u01a1n gi\u1ea3n<\/span> tr\u00ean:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Start with the above simple equation:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a = b\u00a0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Nh\u00e2n 2 v\u1ebf cho b:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Multiply both sides by b:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

ab = b2<\/sup><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Tr\u1eeb a2\u00a0 <\/sup>t\u1eeb 2 v\u1ebf v\u00e0 \u2018factorize:\u2019<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Subtract a2<\/sup> from both sides and factorize: <\/span><\/p>\n

\u00a0<\/span><\/p>\n

ab-a2 <\/sup>= b2<\/sup>-a2<\/sup><\/span><\/p>\n

\u00a0<\/span><\/p>\n

a(b-a) = (b+a)(b-a)<\/span><\/p>\n

\u00a0<\/span><\/p>\n

\u0110\u01a1n gi\u1ea3n<\/span> h\u00f3a v\u00e0 c\u1ecdng 1 cho m\u1ed7i v\u1ebf:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Simplify and add 1 to both sides:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a = b+a<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a+1 = b+a+1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u00e2y gi\u1edd t\u1eeb a = b<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Now since a = b<\/span><\/p>\n

\u00a0<\/span><\/p>\n

B\u1eaft \u0111\u1ea7u t\u1eeb \u0111i\u1ec1m ch\u1ee9ng minh<\/span> n\u00e0y, ch\u00fang ta<\/span> ph\u1ea3i vi\u1ebft nh\u01b0 th\u1ebf n\u00e0y:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

The starting point of this proof, we can write this as:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

a+1 = 2a+1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

V\u00e0 trong tr\u01b0\u1eddng h\u1ee3p<\/span> n\u01a1i a = 1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

And in the case where a =1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Ch\u00fang ta<\/span> c\u00f3:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

We have:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

1+1 = 2+1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Proved,<\/span><\/p>\n

1+1 = 3<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

\u0110\u00e3 ch\u1ee9ng minh<\/span>, Ph\u00e2n bi\u1ec7t<\/span> nh\u1ecb nguy\u00ean<\/span> = Tam Th\u1eeba<\/span><\/b><\/span><\/p>\n

3.\u00a0\u00a0\u00a0 <\/b>Nh\u1eefng con s\u1ed1 nh\u1ecb ph\u00e2n, th\u1eadp ph\u00e2n v\u00e0 ternary trong \u0111i\u1ec7n t\u1eed (electronics)<\/b><\/span><\/p>\n

Nh\u1eefng th\u00ed d\u1ee5<\/span> d\u01b0\u1edbi \u0111\u00e2y c\u0169ng ch\u1ee9ng minh<\/span> 1 + 1 = 3; v\u00e0 1 + 1 = 11 =3; 1 + 1 = 10 =3<\/b><\/span><\/p>\n

Here is an image shows that 1 + 1 = 3:<\/span><\/p>\n

\u0110\u00e2y l\u00e0 m\u1ed9t h\u00ecnh \u1ea3nh<\/span> ch\u1ec9 r\u1eb1ng\u00a0 1 + 1 =3:<\/span><\/p>\n

\"Chankinhtoanhoa\"

Hay<\/span><\/p>\n

\u00a0<\/span><\/p>\n

1+1 => 11 => 11 trong nh\u1ecb ph\u00e2n (binary) l\u00e0 3 trong th\u1eadp ph\u00e2n (decimal)<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Or<\/span><\/p>\n

\u00a0<\/span><\/p>\n

1+1 => 11 => 11 in binary is 3 in decimal<\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

Hay<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Gi\u1ea3 s\u1eed<\/span> 1+ 1 l\u00e0 nh\u1ecb ph\u00e2n (Binary) v\u00e0 k\u1ebft qu\u1ea3 trong ternary. 1 + 1 = 10 (nh\u1ecb ph\u00e2n) trong ternary = 3 trong s\u1ed1 th\u1eadp ph\u00e2n (decimal.)<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Or<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Assume 1+1 to be binary and the result to be in ternary. 1 + 1 = 10 (in binary) 10 in ternary = 3 in decimal\u00a0<\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

4.\u00a0\u00a0\u00a0 <\/b>Trong tr\u01b0\u1eddng h\u1ee3p<\/span> B\u1ea5t Nh\u1ecb<\/span> (Nh\u1ea5t Th\u1ec3<\/span>, Nh\u1ea5t Th\u1eeba<\/span>)<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

a+1 = 2a+1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

V\u00e0 trong tr\u01b0\u1eddng h\u1ee3p<\/span> n\u01a1i a = 0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

And in the case where a =0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Ch\u00fang ta<\/span> c\u00f3:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

We have:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

0+1 = 2 (0) +1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Proved,<\/span><\/p>\n

1 = 1<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

S\u1eafc = S\u1eafc<\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Nh\u1ea5t Th\u1ec3<\/span> = Nh\u1ea5t Th\u1ec3<\/span><\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

5.\u00a0\u00a0\u00a0 <\/b>Trong tr\u01b0\u1eddng h\u1ee3p<\/span> b\u1edd b\u00ean kia<\/span> (dark matters and dark energy)<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

a-1 = 2a-1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

V\u00e0 trong tr\u01b0\u1eddng h\u1ee3p<\/span> n\u01a1i a = 0<\/span><\/p>\n

\u00a0<\/span><\/p>\n

And in the case where a =0<\/span><\/p>\n

Ch\u00fang ta<\/span> c\u00f3:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

We have:<\/span><\/p>\n

\u00a0<\/span><\/p>\n

0-1 = 2 (0) -1<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Proved,<\/span><\/p>\n

-1 = -1<\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

V\u00f4 S\u1eafc<\/span> = V\u00f4 S\u1eafc<\/span><\/b><\/span><\/p>\n

\u00a0<\/b><\/span><\/p>\n

6.\u00a0\u00a0\u00a0 <\/b>T\u00f3m t\u1eafc v\u1ec1 Tam Th\u1eeba<\/span>, Ph\u00e1p Hoa<\/span> v\u00e0 B\u00e1t Nh\u00e3 T\u00e2m Kinh<\/span><\/b><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Theo Wikipedia, Tam Th\u1eeba<\/span><\/i><\/b> (\u4e09\u4e58, sa. triy\u0101na) l\u00e0 ba c\u1ed7 xe \u0111\u01b0a \u0111\u1ebfn Ni\u1ebft-b\u00e0n, \u0111\u00f3 l\u00e0 Thanh v\u0103n th\u1eeba<\/span> (zh. \u8072\u805e\u4e58, sa. \u015br\u0101vakay\u0101na), \u0110\u1ed9c gi\u00e1c th\u1eeba<\/span> (zh. \u7368\u89ba\u4e58, sa. pratyekabuddhay\u0101na) v\u00e0 B\u1ed3 T\u00e1t th\u1eeba<\/span> (zh. \u83e9\u85a9\u4e58, sa. bodhisattvay\u0101na). \u0110\u1ea1i th\u1eeba<\/span> g\u1ecdi Thanh v\u0103n th\u1eeba<\/span> l\u00e0 Ti\u1ec3u th\u1eeba<\/span> (sa. h\u012bnay\u0101na) v\u1edbi s\u1ef1 \u0111\u1eafc qu\u1ea3<\/span> A-la-h\u00e1n (sa. arhat) l\u00e0 m\u1ee5c \u0111\u00edch<\/span>, \u0110\u1ed9c gi\u00e1c th\u1eeba<\/span> l\u00e0 Trung th\u1eeba<\/span> (sa. madhyam\u0101y\u0101na) v\u1edbi qu\u1ea3 \u0110\u1ed9c gi\u00e1c Ph\u1eadt<\/span>. B\u1ed3 T\u00e1t th\u1eeba<\/span> \u0111\u01b0\u1ee3c xem l\u00e0 \u0110\u1ea1i th\u1eeba<\/span> (sa. mah\u0101y\u0101na) v\u00ec n\u00f3 c\u00f3 th\u1ec3 c\u1ee9u \u0111\u1ed9<\/span> t\u1ea5t c\u1ea3 ch\u00fang sinh<\/span> v\u00e0 h\u00e0nh gi\u1ea3<\/span> tr\u00ean xe n\u00e0y c\u0169ng c\u00f3 th\u1ec3 \u0111\u1eafc qu\u1ea3<\/span> cao nh\u1ea5t, qu\u1ea3 V\u00f4 th\u01b0\u1ee3ng ch\u00ednh \u0111\u1eb3ng ch\u00ednh gi\u00e1c<\/span> (zh. \u7121\u4e0a\u6b63\u7b49\u6b63\u89ba, sa. anuttarasamyaksa\u1e43bodhi).<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Triy\u0101na (Skt, three vehicles). In Mah\u0101y\u0101na literature, a name used for the three ways to salvation. These are: (1) the \u015ar\u0101vakay\u0101na or \u2018vehicle of the hearers\u2019 (also known as the H\u012bnay\u0101na); (2) the Pratyekabuddhay\u0101na or \u2018vehicle of the Solitary Buddhas\u2019; and (3) the Bodhisattvay\u0101na or \u2018vehicle of the Bodhisattvas\u2019. Different \u2018vehicles\u2019 are said to have been taught by the Buddhas at different times as appropriate for different individuals. According to the Mah\u0101y\u0101na, however, the highest and greatest is the last.<\/i><\/span><\/p>\n

\u00a0<\/span><\/p>\n

C\u00e1c ph\u01b0\u01a1ng ti\u1ec7n<\/span> kh\u00e1c nhau nh\u01b0 Thanh V\u0103n th\u1eeba<\/span>, \u0110\u1ed9c Gi\u00e1c th\u1eeba<\/span> hay B\u1ed3 T\u00e1t th\u1eeba<\/span> th\u1eadt ra ch\u1ec9 kh\u00e1c nhau v\u00ec ph\u1ea3i c\u1ea7n ph\u00f9 h\u1ee3p<\/span> c\u0103n c\u01a1<\/span> c\u1ee7a h\u00e0nh gi\u1ea3<\/span>. Ph\u1eadt ch\u1ec9 tu\u1ef3 c\u01a1<\/span> duy\u00ean, s\u1eed d\u1ee5ng<\/span> c\u00e1c Ph\u01b0\u01a1ng ti\u1ec7n<\/span> (sa. up\u0101ya) m\u00e0 n\u00f3i Tam th\u1eeba<\/span> nh\u01b0ng th\u1eadt ch\u1ea5t ch\u1ec9 c\u00f3 Ph\u1eadt th\u1eeba<\/span><\/b> (sa. buddhay\u0101na) \u2013 n\u00f3 d\u1eabn \u0111\u1ebfn Gi\u00e1c ng\u1ed9<\/span>, bao tr\u00f9m c\u1ea3 \u0110\u1ea1i th\u1eeba<\/span> l\u1eabn Ti\u1ec3u th\u1eeba<\/span>.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Di\u1ec7u ph\u00e1p li\u00ean hoa kinh<\/span><\/b> (zh. \u5999\u6cd5\u84ee\u83ef\u7d93, sa. saddharmapu\u1e47\u1e0dar\u012bka-s\u016btra), c\u0169ng \u0111\u01b0\u1ee3c g\u1ecdi ng\u1eafn l\u00e0 kinh Ph\u00e1p Hoa<\/span>.\u00a0 Kinh n\u00e0y \u0111\u01b0\u1ee3c Ph\u1eadt gi\u1ea3ng tr\u00ean \u0111\u1ec9nh Linh Th\u1ee9u cho v\u00f4 s\u1ed1<\/span> ng\u01b0\u1eddi nghe g\u1ed3m c\u00f3<\/span> nhi\u1ec1u lo\u00e0i kh\u00e1c nhau. Trong kinh n\u00e0y, Ph\u1eadt ch\u1ec9 r\u00f5, tuy c\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 gi\u00e1c ng\u1ed9<\/span><\/b>, nh\u01b0ng ch\u00fang ch\u1ec9 l\u00e0 ph\u01b0\u01a1ng ti\u1ec7n<\/span> nh\u1ea5t th\u1eddi<\/span> v\u00e0 th\u1ef1c t\u1ebf<\/span> ch\u00fang ch\u1ec9 l\u00e0 m\u1ed9t<\/b>.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

The Lotus S\u016btra (Sanskrit: Saddharmapu\u1e47\u1e0dar\u012bka S\u016btra, literally Sutra on the White Lotus of the Sublime Dharma) is one of the most popular and influential Mahayana sutras and the basis on which the Tiantai, Tendai, Cheontae, and Nichiren schools of Buddhism were established. For many East Asian Buddhists, the Lotus sutra contains the ultimate and complete teaching of the Buddha and the reciting of the text is believed to be very auspicious.<\/i><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Trong kinh c\u00f3 ghi l\u00fd do<\/span> \u0110\u1ee9c Ph\u1eadt<\/span> xu\u1ea5t hi\u1ec7n<\/span> n\u01a1i \u0111\u1eddi ch\u1ec9 v\u00ec m\u1ed9t \u0111\u1ea1i s\u1ef1 nh\u00e2n duy\u00ean<\/span> l\u1edbn \u0111\u00f3 l\u00e0 Khai th\u1ecb ch\u00fang<\/span> sanh ng\u1ed9 nh\u1eadp<\/span> Ph\u1eadt tri ki\u1ebfn<\/span><\/b>. T\u1ea1i Ph\u1ea9m Nh\u01b0 Lai<\/span> Th\u1ecd L\u01b0\u1ee3ng<\/span> c\u00f3 n\u00f3i r\u00f5 \u0111\u1ee9c Ph\u1eadt Th\u00edch Ca M\u00e2u Ni<\/span> th\u1ecd m\u1ea1ng<\/span> v\u00f4 l\u01b0\u1ee3ng<\/span>, th\u00e0nh \u0111\u1ea1o<\/span> t\u1eeb v\u00f4 l\u01b0\u1ee3ng<\/span> v\u00f4 bi\u00ean<\/span> a t\u0103ng k\u1ef3 ki\u1ebfp<\/span> v\u1ec1 tr\u01b0\u1edbc, \u0111\u1ee9c ph\u1eadt<\/span> c\u00f3 nh\u1eadp Ni\u1ebft B\u00e0n<\/span> c\u0169ng ch\u1ec9 l\u00e0 ph\u01b0\u01a1ng ti\u1ec7n<\/span> \u0111\u1ec3 gi\u00e1o h\u00f3a<\/span> ch\u00fang sinh<\/span>, nh\u01b0ng th\u1ef1c ra<\/span> \u0111\u1ee9c Ph\u1eadt<\/span> Th\u00edch Ca<\/span> v\u1eabn \u1edf lai n\u01a1i \u0111\u1eddi th\u01b0\u1eddng c\u00f2n ch\u1eb3ng m\u1ea5t.<\/span><\/p>\n

\u00a0<\/span><\/p>\n

Trong kinh n\u00e0y, Ph\u1eadt kh\u00f4ng c\u00f2n \u0111\u01b0\u1ee3c xem l\u00e0 v\u1ecb Ph\u1eadt l\u1ecbch s\u1eed<\/span> n\u1eefa m\u00e0 l\u00e0 d\u1ea1ng xu\u1ea5t hi\u1ec7n<\/span> c\u1ee7a Ph\u00e1p th\u00e2n<\/span> (sa. dharmak\u0101ya, xem Tam th\u00e2n<\/span>), l\u00e0 th\u1ec3 t\u00ednh<\/span> \u0111\u00edch th\u1eadt c\u1ee7a mu\u00f4n lo\u00e0i. M\u1ed7i ch\u00fang sinh<\/span> \u0111\u1ec1u xu\u1ea5t ph\u00e1t<\/span> t\u1eeb d\u1ea1ng chuy\u1ec3n ho\u00e1<\/span> n\u00e0y c\u1ee7a Ph\u1eadt t\u00ednh<\/span> v\u00e0 v\u00ec v\u1eady<\/span> \u0111\u1ec1u c\u00f3 th\u1ec3 tr\u1edf v\u1ec1<\/span> v\u1edbi ch\u00e2n t\u00ednh<\/span> c\u1ee7a m\u00ecnh, tr\u1edf th\u00e0nh<\/span> m\u1ed9t v\u1ecb Ph\u1eadt.<\/span><\/p>\n

B\u00e1t-nh\u00e3-ba-la-m\u1eadt-\u0111a<\/b> (zh. \u822c\u82e5\u6ce2\u7f85\u871c\u591a, sa. praj\u00f1\u0101p\u0101ramit\u0101<\/i>, en. perfection of wisdom\/insight<\/i>, de. Vollkommenheit der Weisheit\/Einsicht\/Erkenntnis<\/i>) c\u00f3 ngh\u0129a l\u00e0 s\u1ef1 to\u00e0n h\u1ea3o<\/b> (sa. p\u0101ramit\u0101<\/i>, en. perfection<\/i>) c\u1ee7a B\u00e1t-nh\u00e3<\/b> (sa. praj\u00f1\u0101<\/i>). C\u0169ng \u0111\u01b0\u1ee3c g\u1ecdi ng\u1eafn l\u00e0 B\u00e1t-nh\u00e3-ba-la-m\u1eadt<\/b>.<\/span><\/p>\n

Truy\u1ec1n th\u1ed1ng<\/span> \u0110\u1ea1i th\u1eeba<\/span> \u0110\u00f4ng \u00e1 th\u01b0\u1eddng d\u1ecbch ngh\u0129a praj\u00f1\u0101p\u0101ramit\u0101 l\u00e0 Hu\u1ec7 \u0111\u00e1o b\u1ec9 ng\u1ea1n<\/span> (zh. \u6167\u5230\u5f7c\u5cb8), Tr\u00ed \u0111\u1ed9<\/span> (zh. \u667a\u5ea6), Tr\u00ed hu\u1ec7 \u0111\u1ed9<\/span> ng\u01b0\u1eddi sang b\u1edd b\u00ean kia<\/span>. Tuy c\u00f3 v\u1ea5n \u0111\u1ec1<\/span> v\u1ec1 m\u1eb7t ng\u1eef nguy\u00ean – v\u00ed nh\u01b0<\/span> chi\u1ebft t\u1ef1<\/span> p\u0101ram-it\u0101 v\u00e0 cho p\u0101ram l\u00e0 b\u1ec9 ng\u1ea1n<\/span>, l\u00e0 b\u1edd b\u00ean kia<\/span> v\u00e0 it\u0101 l\u00e0 \u0111\u1ebfn, b\u01b0\u1edbc sang (g\u1ed1c \u0111\u1ed9ng t\u1eeb \u221ai, eti) – nh\u01b0ng c\u00e1ch d\u1ecbch Hu\u1ec7 \u0111\u00e1o b\u1ec9 ng\u1ea1n<\/span> ho\u1eb7c Tr\u00ed \u0111\u1ed9<\/span> v\u1eabn c\u00f3<\/span> ngh\u0129a v\u00ec ch\u00fang ch\u1ec9 \u0111\u1ebfn m\u1ed9t lo\u1ea1i tr\u00ed<\/span> hu\u1ec7 \u0111\u1ed9 ng\u01b0\u1eddi<\/span> sang b\u1edd b\u00ean kia<\/span>, t\u1eeb b\u1ec3 lu\u00e2n h\u1ed3i<\/span> \u0111\u1ebfn b\u1edd ni\u1ebft-b\u00e0n. B\u00e1t-nh\u00e3-ba-la-m\u1eadt-\u0111a c\u0169ng l\u00e0 t\u00ean c\u1ee7a m\u1ed9t s\u1ed1 b\u1ed9 kinh<\/span> quan tr\u1ecdng, xu\u1ea5t hi\u1ec7n<\/span> kho\u1ea3ng th\u1ebf k\u1ef7 th\u1ee9 nh\u1ea5t tr\u01b0\u1edbc<\/span> C\u00f4ng Nguy\u00ean, v\u1edbi n\u1ed9i dung xoay quanh<\/span> ch\u00ednh B\u00e1t-nh\u00e3-ba-la-m\u1eadt-\u0111a n\u00e0y, v\u00e0 c\u0169ng l\u00e0 t\u00ean c\u1ee7a m\u1ed9t v\u1ecb B\u1ed3 T\u00e1t<\/span>.<\/span><\/p>\n

Praj\u00f1\u0101p\u0101ramit\u0101<\/i><\/b> means “the Perfection of (Transcendent) Wisdom” in Mah\u0101y\u0101na Buddhism. Praj\u00f1\u0101p\u0101ramit\u0101 refers to this perfected way of seeing the nature of reality, as well as to a particular body of sutras and to the personification of the concept in the Bodhisattva known as the “Great Mother” (Tibetan: Yum Chenmo). The word Praj\u00f1\u0101p\u0101ramit\u0101 combines the Sanskrit words praj\u00f1\u0101 “wisdom” with p\u0101ramit\u0101 “perfection”. Praj\u00f1\u0101p\u0101ramit\u0101 is a central concept in Mah\u0101y\u0101na Buddhism and is generally associated with the doctrine of emptiness (Shunyata) or ‘lack of Svabhava’ (essence) and the works of Nagarjuna. Its practice and understanding are taken to be indispensable elements of the Bodhisattva path.<\/i><\/span><\/p>\n

According to Edward Conze the Praj\u00f1\u0101p\u0101ramit\u0101 Sutras are “a collection of about forty texts…composed in India between approximately 100 BC and AD 600.” Some Praj\u00f1\u0101p\u0101ramit\u0101 s\u016btras are thought to be among the earliest Mah\u0101y\u0101na s\u016btras.<\/i><\/span><\/p>\n

One of the important features of the Praj\u00f1\u0101p\u0101ramit\u0101 Sutras is anutpada (unborn, no origin).<\/i><\/span><\/p>\n

\"Chankinhtoanhoa\"

M\u1ed9t b\u1ea3n c\u1ee7a kinh B\u00e1t-nh\u00e3-ba-la-m\u1eadt-\u0111a<\/b> b\u1eb1ng ti\u1ebfng Ph\u1ea1n<\/span><\/p>\n

References:<\/b><\/span><\/p>\n

    <\/p>\n
  1. http:\/\/puzzling.stackexchange.com\/questions\/5656\/when-does-11-3<\/a><\/span><\/li>\n

    <\/p>\n

  2. Wikipedia<\/span><\/li>\n

    <\/p>\n

  3. http:\/\/dictionary.buddhistdoor.com\/en\/word\/16617\/triyana<\/a><\/span><\/li>\n

    <\/ol>\n

    \u00a0<\/span><\/p>\n<\/div>\n

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    [ad_1] Ch\u00e2n Kinh & To\u00e1n H\u1ecdc \u00a0 L\u00ea Huy Tr\u1ee9, MSEE \u00a0 \u00a01.\u00a0\u00a0\u00a0 Gi\u1edbi Thi\u1ec7u \u00a0 Trong kinh Di\u1ec7u Ph\u00e1p Li\u00ean Hoa (sa. saddharmapu\u1e47\u1e0dar\u012bka-s\u016btra), hay Ph\u00e1p Hoa, Ph\u1eadt\u2026<\/p>\n","protected":false},"author":1,"featured_media":7740,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[104],"tags":[],"td_series":[],"class_list":["post-7738","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-giai-dap-nghi-hoac"],"_links":{"self":[{"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/posts\/7738","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/comments?post=7738"}],"version-history":[{"count":0,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/posts\/7738\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/media\/7740"}],"wp:attachment":[{"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/media?parent=7738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/categories?post=7738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/tags?post=7738"},{"taxonomy":"td_series","embeddable":true,"href":"https:\/\/tamhoc.org\/trang-chu\/wp-json\/wp\/v2\/td_series?post=7738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}