{"id":8429,"date":"2009-03-20T16:14:00","date_gmt":"2009-03-20T16:14:00","guid":{"rendered":"http:\/\/melotopia.net\/b\/?p=8429"},"modified":"2009-03-20T16:14:00","modified_gmt":"2009-03-20T16:14:00","slug":"%eb%a7%88%eb%b2%95%ec%9d%98-%eb%b6%84%eb%b0%b0-%ed%95%a8%ec%88%98-1","status":"publish","type":"post","link":"http:\/\/melotopia.net\/b\/?p=8429","title":{"rendered":"\ub9c8\ubc95\uc758 \ubd84\ubc30 \ud568\uc218 1"},"content":{"rendered":"
\n \ubb3c\ub9ac\ud559\uc744 \uacf5\ubd80 \ud558\ub2e4\ubcf4\uba74, \ubb54\uac00 \uc0ac\uae30\ub97c \ub2f9\ud558\ub294 \ub290\ub08c\uc774 \ub4dc\ub294 \uacfc\ubaa9\uc744 \ub9c8\uc8fc\uce58\uac8c \ub41c\ub2e4. \ubc14\ub85c \ud1b5\uacc4\ubb3c\ub9ac\ud559\uc774\ub2e4.
\n
\n “\uc5b4? \uc774\ub798\ub3c4 \ub3fc?”\ub77c\ub294 \uc0dd\uac01\uc774 \ub4e4 \uc815\ub3c4\ub85c \uadfc\uc0ac\uac12 \uacc4\uc0b0\uc744 \ub9ce\uc774 \ud55c\ub2e4. \ud558\uc9c0\ub9cc \uc785\uc790 \uc218\uac00 \ub108\ubb34 \ub9ce\uae30 \ub54c\ubb38\uc5d0 \uadf8\ub798\ub3c4 \uc815\ud655\ud558\ub2e4\ub294 \uac83\uc774 \ud2b9\uc9d5\uc774\ub2e4.<\/p>\n

\uc77c\ub2e8 \uc0dd\uae34\uac78 \ubcf4\uc790.
\n
\n $P=Zexp(-\\beta E)$<\/p>\n

\ucc38 \uc27d\uac8c \uc0dd\uacbc\ub2e4. \uc800\uae30\uc11c $Z$\ub294 $\\sum P = 1$\ub85c \ub9cc\ub4e4\uc5b4 \uc8fc\ub294 \uc0c1\uc218\uc774\ub2e4. \ub300\ub7b5
\n
\n $Z_0=\\frac{1}{\\sum exp(-\\beta E)}$<\/p>\n

$\\beta$\ub294 \uc5b4\ub5a4 \uc22b\uc790\uc778\ub370, \ubb3c\ub9ac\ud559\uc5d0\uc11c\ub294 “\uc628\ub3c4”\ub77c\ub294 \uac1c\ub150\uc758 \uc5ed\uc218\uc774\ub2e4. \uc989,
\n
\n $\\beta=\\frac{1}{kT}$
\n
\n \uc774\ub54c $T$\ub294 “\uc628\ub3c4”\ub77c\uace0 \ubd80\ub974\uace0, $k$\ub294 \ubcfc\uce20\ub9cc \uc0c1\uc218\uc774\ub2e4. \uc800 “\uc628\ub3c4”\uac00 \uc6b0\ub9ac\uac00 \ub728\uac81\ub2e4\/\ucc28\uac11\ub2e4\ub294 \uac1c\ub150\uc744 \ub098\ud0c0\ub0bc \ub54c\uc758 \ubc14\ub85c \uadf8 “\uc628\ub3c4”\ub77c\uace0 \uc0dd\uac01\ud574\ub3c4 \ub41c\ub2e4. \ud558\uc9c0\ub9cc \uadf8\ubcf4\ub2e4 \uc880 \ub354 \ud3ec\uad04\uc801\uc778 \uc758\ubbf8\uc5d0\uc11c\uc758 \uc628\ub3c4\uac00 \ub420 \uc218\ub3c4 \uc788\uc73c\ubbc0\ub85c \uadf8\ub0e5 \uadf8\ub7f0 \uc22b\uc790\uac00 \uc788\ub098\ubcf4\ub2e4 \ud558\uba74 \ub41c\ub2e4.<\/p>\n

$E$\ub294 “\uc5d0\ub108\uc9c0”\ub2e4.<\/p>\n

\ubd84\ubc30\ud568\uc218\ub294 \uc65c \uc800\ub807\uac8c \uc0dd\uacbc\uc744\uae4c?
\n
\n \ubd84\ubc30 \ud568\uc218\ub97c \uc720\ub3c4\ud574\ubcf4\ub3c4\ub85d \ud558\uc790.
\n
\n …\uadf8\ub7f0\ub370, \uadf8\ub0e5 \uc720\ub3c4\ud558\ub824\uace0 \ud558\ub2c8, \ucc38 \ub72c\uae08\uc5c6\ub2e4. \ub300\uccb4 \uc800\uac78 \uc5b4\ub514\ub2e4 \uc4f0\ub294 \uac74\uc9c0 \uba3c\uc800 \uc54c\uc544\ub450\ub294 \uac83\uc774 \uc88b\uc744 \uac83 \uac19\ub2e4.<\/p>\n

\uc774\ud6c4, \ub098\ub294 \uc774 \uae00\uc744 \uc77d\ub294 \ub3c5\uc790\uac00 \uc218\ub97c \uc140 \uc904 \uc548\ub2e4\uace0 \uac00\uc815\ud558\uaca0\ub2e4. \uc544\uc8fc \uce68\ucc29\ud558\uac8c, \uaf3c\uaf3c\ud788 \uc140 \uc218 \uc788\uae30\ub9cc \ud558\uba74 \ub41c\ub2e4.<\/p>\n

\ubb3c\ub9ac\ud559\uc740 \uc138\uc0c1\uc5d0\uc11c \uc77c\uc5b4\ub098\ub294 \ud604\uc0c1\uc744 \uc124\uba85\ud558\ub294 \ud559\ubb38\uc774\ub2e4. \uadf8\ub9ac\uace0 \uc774 \uc138\uc0c1\uc5d0 \uc788\ub294 \ubaa8\ub4e0 \uc0ac\ubb3c\uc740 “\uae30\ubcf8 \uc785\uc790(\uc6d0\uc790, Atom)”\ub77c\uace0 \ubd80\ub974\ub294, \uc544\uc8fc \uc791\uc740 \uac83\ub4e4\uc774 \ubaa8\uc5ec\uc11c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uadf8\ub7f0\ub370 \ub2e4\ub4e4 \uc54c\ub2e4\uc2dc\ud53c \uc774 \uae30\ubcf8\uc785\uc790\ub294 \uc5c4\uccad\ub098\uac8c \ub9ce\ub2e4. \ub108\ubb34 \uac00\ubcbc\uc6cc\uc11c \uc190 \uc704\uc5d0 \uc62c\ub824\ubd10\uc57c \uc788\ub294\uc9c0 \uc5c6\ub294\uc9c0\ub97c \uc54c \uc218\ub3c4 \uc5c6\uc744\ub9cc\ud07c \uc791\uc740 \uba3c\uc9c0\uac00 1\uc870*1\uc870*10\uc5b5\uac1c \uc815\ub3c4\uc758 \uc6d0\uc790\ub85c \uad6c\uc131\ub418\uc5b4 \uc788\ub2e4. \uc774\ub807\ub4ef \uc785\uc790 \uc218\uac00 \uc544\uc8fc \uc544\uc8fc \uc544\uc8fc \ub9ce\uc740 \uacbd\uc6b0, \uadf8 \uc785\uc790\ub4e4\uc774 \ubb34\uc2a8 \uc9d3\uc744 \ud558\ub294\uc9c0 \uac01\uac01\uc5d0 \ub300\ud574\uc11c\ub294 \uc808\ub300\ub85c \uc54c\uc544\ub0bc \ubc29\ubc95\uc774 \uc5c6\ub2e4. \ud55c\ub450\uac1c \uc815\ub3c4\uc57c \uce21\uc815\ud558\uba74 \ub41c\ub2e4. \ubc31\uac1c? \ub9ce\uc774 \ub178\ub825\ud558\uba74 \uc5b4\ub5bb\uac8c\ub4e0 \ub418\uaca0\uc9c0. 1\uc870*1\uc870*10\uc5b5\uac1c? \uadf8\uac74 \ubc29\ubc95\uc774 \uc5c6\ub2e4. \ub530\ub77c\uc11c \uc785\uc790 \uac01\uac01\uc758 \uc6c0\uc9c1\uc784\uc5d0 \ub300\ud574\uc11c\ub294 \uc54c \uc218 \uc5c6\uc73c\ubbc0\ub85c, \uc804\uccb4\uc801\uc73c\ub85c \uc5b4\ub5bb\uac8c \uc6c0\uc9c1\uc774\ub294\uc9c0\ub77c\ub3c4 \uc54c\uc544\ub0b4\uc57c \ud558\ub294\ub370, \uc5ec\uae30\uc5d0 \uc0ac\uc6a9\ub418\ub294 \uac83\uc774 “\ud1b5\uacc4”\uc774\ub2e4. \uadf8\ub9ac\uace0 \ud1b5\uacc4\uc758 \uae30\ubcf8\uc740 \ud655\ub960\uc774\ub2e4. \uc774\uac83\uc774 \uace7 \ud1b5\uacc4 \uc5ed\ud559\uc758 \uc2dc\uc791\uc774 \ub41c\ub2e4.<\/p>\n

\uba87\uac00\uc9c0 \ubb3c\ub9ac\ud559\uc801\uc778 \ub9d0\uc744 \uc815\uc758\ud558\uace0 \ub118\uc5b4\uac00\uc57c \ud55c\ub2e4. \uc6b0\uc120 \uc6b0\ub9ac\ub294 “\uc785\uc790”\ub97c \ub2e4\ub8f0 \uac83\uc774\ub2e4. \uc785\uc790\ub77c\ub294 \uac83\uc740 \uac01\uac01\uc774 \uad6c\ubcc4\ub418\ub294 \uacf5 \uac19\uc740 \uac83\uc774\ub2e4. “\uc0c1\ud0dc”\ub77c\ub294 \uac83\uc740 \uadf8 \uc785\uc790\uc5d0 \ub300\ud574\uc11c \uc6b0\ub9ac\uac00 \uc54c \uc218 \uc788\ub294 \uc815\ubcf4\ub97c \ub73b\ud55c\ub2e4. \uc704\uce58, \uc18d\ub3c4, \ud68c\uc804\uc18d\ub3c4, \uae30\ud0c0 \ub4f1\ub4f1…
\n
\n “\uc5d0\ub108\uc9c0”\ub77c\uace0 \ubd80\ub974\ub294 \uac83\uc774 \uc788\ub2e4. \uadf8\uac8c \ubb54\uc9c0\ub294 \uc815\ud655\ud788 \ubaa8\ub974\uc9c0\ub9cc “\uc0c1\ud0dc”\ub97c \uc54c\uba74 \uc5d0\ub108\uc9c0\ub3c4 \uc54c\uc218 \uc788\ub2e4. \uc5d0\ub108\uc9c0\ub294 \uadf8\ub0e5 \ubb54\uac00\ub97c \uc54c\ub824\uc8fc\ub294 \uc22b\uc790\ub77c\uace0 \uc0dd\uac01\ud558\uc790.<\/p>\n

\uac00\uc7a5 \uae30\ubcf8\uc801\uc778 \uac00\uc124\uc740, “\uc5b4\ub5a4 \uc785\uc790\ub3c4 \ud2b9\ubcc4\ud788 \uc5b4\ub5a4 \ud2b9\uc815\ud55c \uc0c1\ud0dc\ub97c \uc120\ud638\ud558\uc9c0 \uc54a\ub294\ub2e4”\ub294 \uac00\uc124\uc774\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc815\uc721\uba74\uccb4 \uc8fc\uc0ac\uc704\ub97c \ub358\uc84c\uc744 \ub54c \ub098\uc624\ub294 \uc22b\uc790\ub97c \uc0c1\ud0dc\ub77c\uace0 \ud574 \ubcf4\uc790. \uc774\ub54c\uc758 “\uc785\uc790”\ub294 “\uc8fc\uc0ac\uc704”\uac00 \ub41c\ub2e4. (\uc55e\uc11c “\uc0c1\ud0dc”\ub97c \uc815\uc758\ud560 \ub54c, \uc6b0\ub9ac\uac00 \uc785\uc790\uc5d0 \ub300\ud574 \uc54c \uc218 \uc788\ub294 \uc815\ubcf4\ub77c\uace0 \ud588\ub2e4. \uc815\ubcf4\uc774\uae30\ub9cc \ud558\uba74 \uadf8\uac8c \uc18d\ub825\uc774\ub4e0 \uc8fc\uc0ac\uc704\uc758 \uc22b\uc790\ub4e0 \uc0c1\uad00 \uc5c6\ub2e4)<\/p>\n

\uc8fc\uc0ac\uc704\uc758 \uc5ec\uc12f\uac1c\uc758 \uba74 \uc911\uc5d0\uc11c, 1\uc774 \ub098\uc62c \ud655\ub960\uc774 4\uac00 \ub098\uc62c \ud655\ub960\ubcf4\ub2e4 \ud074\uae4c? \uc791\uc744\uae4c? 3\uc774 \ub098\uc62c \ud655\ub960\uc740?
\n
\n \uc8fc\uc0ac\uc704\ub97c \uc798\ubabb \ub9cc\ub4e4\uc9c0 \uc54a\uc558\ub2e4\uba74, \uc815\uc721\uba74\uccb4 \uc8fc\uc0ac\uc704\uc5d0\uc11c\ub294 \uac01\uac01\uc758 \uc22b\uc790\uac00 \ub098\uc62c \ud655\ub960\uc774 \uac19\ub2e4.<\/p>\n

\uc544\ubb34\ud2bc, \uc785\uc790\ub294 \uadf8\ub0e5 \ubb34\uc2ec\ud55c\ub4ef \uc2dc\ud06c\ud558\uac8c \uc544\ubb34 \uc0c1\ud0dc\uc5d0\ub098 \ub4e4\uc5b4\uac00 \uc788\ub2e4. (\uc0c1\ud0dc \uc548\uc5d0 \ub4e4\uc5b4\uac00\uc11c\ub294 \ubb34\uc2a8 \uc9d3\uc744 \ud558\ub4e0 \uc2e0\uacbd\uc4f0\uc9c0 \uc54a\ub294\ub2e4\uace0 \ud558\uc790. \uc774\uac83\uc740 Degeneracy\uc640 \uad00\uacc4\uac00 \uc788\ub294\ub370, \uc6b0\ub9b0 \uadf8\ub7f0\uac70 \ubb34\uc2dc\ud55c\ub2e4\uace0 \uac00\uc815\ud55c\ub2e4. \uad73\uc774 \ub530\uc9c0\uace0 \uc2f6\uc73c\uba74 \uc5b4\ub5bb\uac8c \ub530\uc838\ubcf4\uba74 \uc88b\uc744\uc9c0 \uc798 “\uc138\uc5b4” \ubcf4\uba74 \ub41c\ub2e4.)<\/p>\n

\uc774\uc81c, \uc785\uc790\ub294 n\uac1c\uac00 \uc788\uace0, \uc0c1\ud0dc\ub294 N\uac1c\uac00 \uc788\ub2e4\uace0 \ud558\uc790. \uc785\uc790\uc5d0\ub294 1\ubd80\ud130 n\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\uace0, \uc0c1\ud0dc\uc5d0\ub3c4 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4.<\/p>\n

n\uac1c\uc758 \uc785\uc790 \uc911\uc5d0\uc11c 1\uac1c\ub97c \uace0\ub974\ub294 \ubc29\ubc95\uc758 \uc218\ub294? n\uac1c\uc774\ub2e4. \uadf8\ub7fc, \uc21c\uc11c\ub97c \uc2e0\uacbd \uc368\uc11c 2\uac1c\ub97c \uace0\ub974\ub294 \ubc29\ubc95\uc758 \uc218\ub294? n(n-1)\uac1c\ub2e4. 3\uac1c\ub294? n(n-1)(n-2)\uac1c\ub2e4. \uadf8\ub798. \ub2e4 \uc548\ub2e4. \uace0\ub4f1\ud559\uad50\ub54c \ubc30\uc6b4 \ud655\ub960 \uc774\ub860 – \uc21c\uc5f4, \uc870\ud569.
\n
\n n\uac1c\uc5d0\uc11c k\uac1c\ub97c \uace0\ub974\ub294 \ubc29\ubc95\uc758 \uc218\ub294 n!\/(n-k)!\uac1c \uc774\ub2e4. !\ub294 Factorial\uc774\ub77c\ub294 \uac83\uc774\ub2e4. \ubaa8\ub974\uba74 \uac80\uc0c9…
\n
\n \uc790. \uc774\uc81c N\uac1c\uc758 \ubc29 \uc911\uc5d0\uc11c, 1\ubc88 \ubc29\uc5d0 $k_1$\uac1c, 2\ubc88 \ubc29\uc5d0 $k_2$\uac1c…\uc774\ub7f0 \uc2dd\uc73c\ub85c N\ubc88 \ubc29\uae4c\uc9c0 \ucc44\uc6b0\ub294 \ubc29\ubc95\uc758 \uc218\ub294?
\n
\n $W=\\frac{n!}{k_1!(n-k_1)!}\\frac{(n-k_1)!}{k_2!(n-k_1-k_2)!}…\\frac{(n-k_N)!}{(n-k_N)!0!}$
\n
\n \uc880 \ubcf5\uc7a1\ud558\uc9c0\ub9cc, \uc798 \ubcf4\uba74 \uc57d\ubd84\ub418\ub294\uac8c \uc544\uc8fc \ub9ce\ub2e4. \uadf8\ub798\uc11c \uc798 \ubcf4\uba74 \ub2e4\uc74c\uacfc \uac19\uc774 \ub41c\ub2e4.
\n
\n $W=\\frac{n!}{k_1!k_2!…k_N!}$<\/p>\n

\uc798 \uc138\uace0 \uc788\ub294\uac00?<\/p>\n

\uc774\uc81c, \ub2e4\uc74c \ub2e8\uacc4\ub85c \ub118\uc5b4\uac00\uc790. \uc6b0\ub9ac\ub294 \uc9c0\uae08 “\ub2eb\ud78c \uacc4”\ub97c \ub2e4\ub8e8\uace0 \uc788\ub2e4. \uc774\uac8c \ubb34\uc2a8 \uc18c\ub9ac\ub0d0\uba74, \uc6b0\ub9ac\ub294 \ubc29\uae08 \uc0c1\ud0dc\uc5d0 \ub4e4\uc5b4\uac04 \uc785\uc790\ub97c \uc138\uba74\uc11c \ubc14\uae65\uc5d0\uc11c \uc785\uc790\ub97c \ub354 \ucd94\uac00\ud558\uac70\ub098, \ub610\ub294 \uc785\uc790\ub97c \uaebc\ub0b4\uc9c0 \uc54a\uc558\ub2e4\ub294 \ub73b\uc774\ub2e4. \uc989, \uc785\uc790\uc758 \uc218\ub294 \ubcf4\uc874\ub418\uace0 \uc788\ub2e4. \ub610\ud55c, \uc785\uc790\ub97c \uc0c1\ud0dc\uc5d0 \ub123\uac70\ub098 \ube84 \ub54c \uc6b0\ub9b0 \uc804\ud600 \uac74\ub4dc\ub9ac\uc9c0 \uc54a\uc558\ub2e4. \uc785\uc790\uac00 \uc800\uc808\ub85c \uc54c\uc544\uc11c \uc0c1\ud0dc\uc5d0 \ub4e4\uc5b4\uac00 \uc788\ub294 \uac83\uc77c \ubfd0, \uc6b0\ub9b0 \ubc1c\ub05d\ub3c4 \ub304 \uc801\uc774 \uc5c6\ub2e4. \ub530\ub77c\uc11c \uc5d0\ub108\uc9c0\ub3c4 \ubcf4\uc874\ub41c\ub2e4.<\/p>\n

\uc785\uc790\uc758 \uc218\ub3c4 \ubcf4\uc874\ub418\uace0, \uc5d0\ub108\uc9c0\ub3c4 \ubcf4\uc874\ub418\uba74\uc11c, \uc785\uc790\ub4e4\uc774 \uc5b4\ub290 \uc0c1\ud0dc\uc5d0 \uba87\uac1c\uc529 \ub4e4\uc5b4\uac00 \uc788\ub294\uac8c \uac00\uc7a5 \uc788\uc744 \ubc95\ud560\uae4c? \ubb3c\ub9ac\ud559\uc790\ub4e4\uc740 “\uac00\uc7a5 \uadf8\ub7f4\ub4ef\ud55c \ubc30\uce58”\ub97c “canonical ensemble”\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. \ud55c\uad6d\uc5b4\ub85c \ubb50\ub77c\uace0 \ud558\ub294\uc9c0\ub294 \ubaa8\ub974\uaca0\ub2e4. \uc544\ubb34\ud2bc, \uc785\uc790 \uac01\uac01\uc740 \uc790\uae30 \ub9d8\ub300\ub85c \uc544\ubb34\ub370\ub098 \ub4e4\uc5b4\uac00 \uc788\uace0 \uc2f6\uc9c0\ub9cc, \uc785\uc790\uc758 \uc218\ub3c4 \ubcf4\uc874\ub418\uace0 \uc5d0\ub108\uc9c0\ub3c4 \ubcf4\uc874\ub418\uae30 \ub54c\ubb38\uc5d0 \uc804\uccb4\uc801\uc73c\ub85c \uc785\uc790\ub4e4\uc774 \ubc30\uce58\ub418\ub294 \uac83\uc5d0\ub294 \uc5b4\ub5a4 \uacbd\ud5a5\uc131\uc774 \ubcf4\uc774\uac8c \ub41c\ub2e4.<\/p>\n

(\uae00\uc774 \ub108\ubb34 \uae38\uc5b4\uc11c \uc798\ub77c\uc57c\uaca0\ub2e4. 2\ubd80\uc5d0\uc11c…)
\n <\/p>\n

\n
\n
\n\"\uc2e0\uace0\"
\n<\/a>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\ubb3c\ub9ac\ud559\uc744 \uacf5\ubd80 \ud558\ub2e4\ubcf4\uba74, \ubb54\uac00 \uc0ac\uae30\ub97c \ub2f9\ud558\ub294 \ub290\ub08c\uc774 \ub4dc\ub294 \uacfc\ubaa9\uc744 \ub9c8\uc8fc\uce58\uac8c \ub41c\ub2e4. \ubc14\ub85c \ud1b5\uacc4\ubb3c\ub9ac\ud559\uc774\ub2e4. “\uc5b4? \uc774\ub798\ub3c4 \ub3fc?”\ub77c\ub294 \uc0dd\uac01\uc774 \ub4e4 \uc815\ub3c4\ub85c \uadfc\uc0ac\uac12 \uacc4\uc0b0\uc744 \ub9ce\uc774 \ud55c\ub2e4. \ud558\uc9c0\ub9cc \uc785\uc790 \uc218\uac00 \ub108\ubb34 \ub9ce\uae30 \ub54c\ubb38\uc5d0 \uadf8\ub798\ub3c4 \uc815\ud655\ud558\ub2e4\ub294 \uac83\uc774 \ud2b9\uc9d5\uc774\ub2e4. \uc77c\ub2e8 \uc0dd\uae34\uac78 \ubcf4\uc790. $P=Zexp(-\\beta E)$ \ucc38 \uc27d\uac8c \uc0dd\uacbc\ub2e4. \uc800\uae30\uc11c $Z$\ub294 $\\sum P = 1$\ub85c \ub9cc\ub4e4\uc5b4 \uc8fc\ub294 \uc0c1\uc218\uc774\ub2e4. \ub300\ub7b5 $Z_0=\\frac{1}{\\sum exp(-\\beta E)}$ $\\beta$\ub294 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-8429","post","type-post","status-publish","format-standard","hentry","category-academic"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8o6gA-2bX","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/8429","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8429"}],"version-history":[{"count":0,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/8429\/revisions"}],"wp:attachment":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8429"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8429"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}