{"id":4553,"date":"2020-05-16T20:44:31","date_gmt":"2020-05-16T11:44:31","guid":{"rendered":"https:\/\/sasamath.com\/blog\/?p=4553"},"modified":"2020-05-16T21:31:07","modified_gmt":"2020-05-16T12:31:07","slug":"the-number-of-functions-from-n-to-n","status":"publish","type":"post","link":"https:\/\/sasamath.com\/blog\/articles\/the-number-of-functions-from-n-to-n\/","title":{"rendered":"\\(\\mathbb{N}\\)\uc73c\ub85c\ubd80\ud130 \\(\\mathbb{N}\\)\uc73c\ub85c\uc758 \ud568\uc218\uc758 \uac1c\uc218"},"content":{"rendered":"<div class=\"box\">\n<p><span class=\"definition\">\ubb38\uc81c.<\/span><br \/>\n\\(\\mathbb{N}\\)\uc774 \ubaa8\ub4e0 \uc790\uc5f0\uc218\uc758 \uc9d1\ud569\uc774\ub77c\uace0 \ud558\uc790. \uc774\ub54c, \\(\\mathbb{N}\\)\uc73c\ub85c\ubd80\ud130 \\(\\mathbb{N}\\)\uc73c\ub85c\uc758 \ud568\uc218, \uc989 \uc815\uc758\uc5ed\uacfc \uacf5\uc5ed\uc774 \ubaa8\ub450 \\(\\mathbb{N}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\uac00 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\uc74c\uc744 \ubcf4\uc774\uc2dc\uc624.<\/p>\n<\/div>\n<div class=\"solution\">\n<p><span class=\"definition\">\ud480\uc774.<\/span><br \/>\n\ud45c\uae30\ub97c \ud3b8\ud558\uac8c \ud558\uae30 \uc704\ud558\uc5ec \uc815\uc758\uc5ed\uc774 \\(A\\)\uc774\uace0 \uacf5\uc5ed\uc774 \\(B\\)\uc778 \ud568\uc218\uc758 \ubaa8\uc784\uc744 \\(B^A\\)\ub85c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\n<p><span class=\"proof\">1\ub2e8\uacc4.<\/span><br \/>\n\uc815\uc758\uc5ed\uc774 \\(\\mathbb{N}\\)\uc774\uace0 \uacf5\uc5ed\uc774 \\(E = \\left\\{ 0,\\,1 \\right\\}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\ub97c \uc138\uc5b4 \ubcf4\uc790. \uc989 \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub97c \uc0dd\uac01\ud574 \ubcf4\uc790. \\(f\\in E^\\mathbb{N}\\)\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 \uac01 \uc790\uc5f0\uc218 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \ud568\uc22b\uac12 \\(f(n)\\)\uc740 \\(0\\) \ub610\ub294 \\(1\\)\uc774\ub2e4. \uc774\uc81c \uc815\uc218 \ubd80\ubd84\uc774 \\(0\\)\uc774\uace0 \uc18c\uc218\uc810 \uc544\ub798 \\(n\\)\uc9f8 \uc790\ub9ac\uc758 \uc22b\uc790\uac00 \\(f(n)\\)\uc778 \uc774\uc9c4\uc218\ub97c \uc0dd\uac01\ud558\uc790. \uadf8\ub7ec\uba74 \ud568\uc218 \\(f\\)\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \uc774\uc9c4\uc218\uc5d0 \ub300\uc751\ub41c\ub2e4.<br \/>\n\\[f \\quad \\mapsto \\quad 0.f(1) f(2) f(3) \\cdots \\,_{(2)}\\]<br \/>\n\ubb3c\ub860 \uc774\ub7ec\ud55c \ub300\uc751\uc774 \uc77c\ub300\uc77c \ub300\uc751\uc740 \uc544\ub2c8\ub2e4. \uc65c\ub0d0\ud558\uba74<br \/>\n\\[0.110111 \\cdots  \\,_{(2)} \\,=\\, 0.111 _{(2)}\\]<br \/>\n\uc640 \uac19\uc774 \uc21c\ud658\ub9c8\ub514\uac00 \\(1\\)\uc778 \uc21c\ud658\uc18c\uc218\ub294 \uc720\ud55c\uc18c\uc218\uc640 \uac19\uae30 \ub54c\ubb38\uc774\ub2e4. [\u2018\uac19\ub2e4\u2019\ub77c\ub294 \uac83\uc740 \uac12\uc774 \uac19\ub2e4\ub294 \ub73b\uc774\uba70, \ub3d9\uc77c\ud55c \ud615\ud0dc\uc758 \uc18c\uc218\ub77c\ub294 \ub73b\uc740 \uc544\ub2c8\ub2e4.]<\/p>\n<p>\uc5ec\uae30\uc11c \uc21c\ud658\ub9c8\ub514\uac00 \\(1\\)\uc778 \uc21c\ud658\uc18c\uc218\uc758 \uac1c\uc218\uac00 \uac00\uc0b0(countable)\uc784\uc744 \ubcf4\uc774\uc790. \uc815\uc218 \ubd80\ubd84\uc774 \\(0\\)\uc774\uace0, \uc18c\uc218\uc810 \uc544\ub798 \\(k\\)\uc9f8 \uc790\ub9ac\ubd80\ud130 \ubaa8\ub450 \\(1\\)\uc778 \uc21c\ud658\uc18c\uc218\ub4e4\uc758 \ubaa8\uc784\uc744 \\(S_k\\)\ub77c\uace0 \ud558\uc790. [\uadf8\ub7ec\ub2c8\uae4c \\(S_k\\)\ub294 \uc218\uc758 \ubaa8\uc784\uc774 \uc544\ub2c8\ub77c \uc218\uc758 \ud45c\ud604\uc758 \ubaa8\uc784\uc778 \uc148\uc774\ub2e4. \ub9c8\uce58 \u2018\ud638\ub791\uc774\uc758 \ubaa8\uc784\u2019\uacfc \u2018\ud638\ub791\uc774\ub77c\ub294 \uae00\uc790\uc758 \ubaa8\uc784\u2019\uc774 \ub2e4\ub978 \uac83\ucc98\ub7fc \ub9d0\uc774\ub2e4.] \uadf8\ub7ec\uba74 \\(S_k\\)\uc758 \uc11c\ub85c \ub2e4\ub978 \ub450 \uc6d0\uc18c\ub294 \uc18c\uc218\uc810 \uc544\ub798 \uccab\uc9f8\uc790\ub9ac\ubd80\ud130 \\((k-1)\\)\uc9f8\uc790\ub9ac\uae4c\uc9c0\ub9cc \ub2e4\ub97c \uc218 \uc788\uace0, \uc18c\uc218\uc810 \uc544\ub798 \\(k\\)\uc9f8 \uc790\ub9ac\ubd80\ud130\ub294 \uac19\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \\(S_k\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \\(2^{k-1}\\)\uc774\uba70, \\(S_k\\)\ub294 \uc720\ud55c\uc9d1\ud569\uc774\ub2e4.<br \/>\n\\[S = S_1 \\cup S_2 \\cup S_3 \\cup \\cdots\\]<br \/>\n\ub77c\uace0 \ud558\uba74 \\(S\\)\ub294 \uc21c\ud658\ub9c8\ub514\uac00 \\(1\\)\uc778 \uc21c\ud658\uc18c\uc218\ub97c \ubaa8\ub450 \ubaa8\uc740 \uc9d1\ud569\uc774\ub2e4. \uc774\ub54c \\(S\\)\ub294 \uc720\ud55c\uc9d1\ud569\uc744 \uac00\uc0b0 \ubc88 \ud569\uc9d1\ud569\ud55c \uac83\uc774\ubbc0\ub85c \\(S\\) \uc790\uc2e0\ub3c4 \uac00\uc0b0\uc9d1\ud569\uc774\ub2e4.<\/p>\n<p>\uc9c0\uae08\uae4c\uc9c0 \uc0b4\ud3b4\ubcf8 \ubc14\uc5d0 \uc758\ud558\uba74 \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\ub97c \uc774\uc9c4\uc18c\uc218\uc5d0 \ub300\uc751\uc2dc\ucf30\uc744 \ub54c \uc11c\ub85c \uac19\uc740 \uac12\uc5d0 \ub300\uc751\ub418\ub294 \uacbd\uc6b0\uae4c\uc9c0 \ubaa8\ub450 \ub530\uc838\ubcf8\ub2e4 \ud558\ub354\ub77c\ub3c4 \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \uc815\uc218 \ubd80\ubd84\uc774 \\(0\\)\uc778 \uc774\uc9c4\uc18c\uc218\ub85c \ud45c\ud604\ub418\ub294 \uc2e4\uc218\uc758 \uac1c\uc218\uc5d0 \\(S\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub97c \ub354\ud55c \ub9cc\ud07c\ubc16\uc5d0 \ub418\uc9c0 \uc54a\ub294\ub2e4. \uc815\uc218 \ubd80\ubd84\uc774 \\(0\\)\uc778 \uc774\uc9c4\uc18c\uc218\ub85c \ub098\ud0c0\ub098\ub294 \uc218 \uc911\uc5d0\uc11c \u2018\uc21c\ud658\ub9c8\ub514\uac00 \\(1\\)\uc778 \uc21c\ud658\uc18c\uc218\u2019\uac00 \uc544\ub2cc \uc218\ub294 \ubaa8\ub450 \uc2e4\uc218\uad6c\uac04 \\([0,\\,1)\\)\uc758 \uc6d0\uc18c\uc774\ubbc0\ub85c, \uadf8\ub7ec\ud55c \uc774\uc9c4\uc18c\uc218\uc758 \uac1c\uc218\ub294 \\(\\mathbb{R}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uc640 \uac19\ub2e4. \\(\\mathbb{R}\\)\uc5d0 \uac00\uc0b0 \uac1c\uc758 \uc6d0\uc18c\ub97c \ub354\ud55c\ub2e4\ud55c\ub4e4 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \ubcc0\ud568\uc774 \uc5c6\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \\(\\mathbb{R}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uc640 \uac19\ub2e4.<\/p>\n<p><span class=\"proof\">2\ub2e8\uacc4.<\/span><br \/>\n\\(\\mathbb{N} \\times \\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\ub4e4\uc758 \uac1c\uc218\ub97c \uc138\uc5b4 \ubcf4\uc790. \uadf8\ub7f0\ub370 \\(\\mathbb{N} \\times \\mathbb{N}\\)\uacfc \\(\\mathbb{N}\\)\uc740 \ubaa8\ub450 \ubb34\ud55c\uc778 \uac00\uc0b0\uc9d1\ud569\uc73c\ub85c\uc11c \uc6d0\uc18c\uc758 \uac1c\uc218\uac00 \uac19\uc73c\ubbc0\ub85c, \\(\\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc758 \uac1c\uc218\ub97c \uc138\uba74 \ub41c\ub2e4. \uc774 \ubc29\ubc95\uc740 1\ub2e8\uacc4\uc640 \ub3d9\uc77c\ud558\ub2e4. \\(D\\)\uac00 \\(\\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\ub77c\uace0 \ud558\uc790. \uc774\uc81c \ud568\uc218 \\(f_D\\)\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud558\uc790.<br \/>\n\\[f_D(n) = \\begin{cases}<br \/>\n1 \\quad\\quad &#038;\\text{if} \\quad n \\in D \\\\[6pt]<br \/>\n0 \\quad\\quad &#038;\\text{if} \\quad n \\notin D<br \/>\n\\end{cases}\\]<br \/>\n\uadf8\ub7ec\uba74 \uac01 \uc790\uc5f0\uc218 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \ud568\uc22b\uac12 \\(f_D (n)\\)\uc740 \\(0\\) \ub610\ub294 \\(1\\)\uc774\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \ub2e8\uacc4 1\uc5d0\uc11c\uc640 \uac19\uc740 \ubc29\ubc95\uc73c\ub85c \\(f_D\\)\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\ub2e4. \uadf8\ub7f0\ub370 \\(\\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569 \\(D\\)\uc640 \ud568\uc218 \\(f_D\\)\ub294 \uc77c\ub300\uc77c\ub85c \ub300\uc751\ub418\ubbc0\ub85c \\(\\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc758 \uac1c\uc218\uc640 \uc2e4\uc218\uc758 \uac1c\uc218\ub294 \uac19\ub2e4.<\/p>\n<p><span class=\"proof\">3\ub2e8\uacc4.<\/span>\uc815\uc758\uc5ed\uacfc \uacf5\uc5ed\uc774 \ubaa8\ub450 \\(\\mathbb{N}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\ub97c \uc138\uc5b4 \ubcf4\uc790. \uba3c\uc800 1\ub2e8\uacc4\uc5d0\uc11c \ubc1d\ud78c \ubc14\uc640 \uac19\uc774 \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\ub2e4. \uadf8\ub7f0\ub370 \\(E^\\mathbb{N}\\)\uc740 \\(\\mathbb{N}^\\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\ubbc0\ub85c \\(\\mathbb{N}^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218 \uc774\uc0c1\uc774\ub2e4.<\/p>\n<p>\ud55c\ud3b8 \uc784\uc758\uc758 \ud568\uc218 \\(f\\in\\mathbb{N}^\\mathbb{N}\\)\uc758 \uadf8\ub798\ud504\ub294 \\(\\mathbb{N} \\times \\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\ub2e4. \uadf8\ub7f0\ub370 \\(\\mathbb{N} \\times \\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\ub2e4. \\(\\mathbb{N} \\times \\mathbb{N}\\)\uc758 \ubaa8\ub4e0 \ubd80\ubd84\uc9d1\ud569\uc774 \\(\\mathbb{N}\\)\uc73c\ub85c\ubd80\ud130 \\(\\mathbb{N}\\)\uc73c\ub85c\uc758 \ud568\uc218\uc758 \uadf8\ub798\ud504\uac00 \ub418\ub294 \uac83\uc740 \uc544\ub2c8\ubbc0\ub85c, \\(\\mathbb{N}^\\mathbb{N}\\)\uc740 \\(\\mathbb{N} \\times \\mathbb{N}\\)\uc758 \ubd80\ubd84\uc9d1\ud569\ub4e4\uc758 \ubaa8\uc784\uc758 \uc9c4\ubd80\ubd84\uc9d1\ud569\uc774\ub2e4. \uadf8\ub7ec\ubbc0\ub85c \\(\\mathbb{N}^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218 \uc774\ud558\uc774\ub2e4.<\/p>\n<p>\uc774\ub85c\uc368 \\(\\mathbb{N}^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uac00 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\uc74c\uc744 \ubcf4\uc600\ub2e4.<br \/>\n<span class=\"qee\"><\/span>\n<\/p>\n<\/div>\n<p>\uc0ac\uc2e4 \uc704 \ud480\uc774\uc5d0\ub294 \uc5b8\uae09 \uc5c6\uc774 \uc0ac\uc6a9\ub41c \uc9d1\ud569\uc758 \uc131\uc9c8\uc774 \uc788\ub2e4.<\/p>\n<p>\ub450 \uc9d1\ud569 \\(A\\)\uc640 \\(B\\)\uac00 \uc788\ub2e4\uace0 \ud558\uc790. \ub9cc\uc57d \\(A\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uac00 \\(B\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218 \uc774\uc0c1\uc774\uace0, \ub3d9\uc2dc\uc5d0 \\(A\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uac00 \\(B\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218 \uc774\ud558\ub77c\uba74, \\(A\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uc640 \\(B\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\uac00 \uac19\ub2e4\uace0 \ud560 \uc218 \uc788\uc744\uae4c?<\/p>\n<p>\uc9c1\uad00\uc801\uc73c\ub85c\ub294 \uc790\uba85\ud558\uc9c0\ub9cc \uc774 \uc0ac\uc2e4\uc744 \uc99d\uba85\ud558\ub294 \uac83\uc740 \uc27d\uc9c0 \uc54a\ub2e4. \uc774 \uc815\ub9ac\ub294 <span class=\"defined\">\uc288\ub8b0\ub354-\ubca0\ub978\uc288\ud0c0\uc778 \uc815\ub9ac<\/span>\ub77c\uace0 \ubd88\ub9b0\ub2e4. \uc99d\uba85\uc740 \ub2e4\uc74c \ud398\uc774\uc9c0\ub97c \ucc38\uc870\ud558\uae30 \ubc14\ub780\ub2e4: <a href=\"https:\/\/en.wikipedia.org\/wiki\/Schr%C3%B6der%E2%80%93Bernstein_theorem\">Schr\u00f6der\u2013Bernstein theorem<\/a>.<\/p>\n<div class=\"box\">\n<p>\n<span class=\"definition\">\ub530\ub984\uc815\ub9ac.<\/span><br \/>\n\uc815\uc758\uc5ed\uacfc \uacf5\uc5ed\uc774 \ubaa8\ub450 \\(\\mathbb{Q}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\ub294 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\ub2e4.\n<\/p>\n<\/div>\n<div class=\"solution\">\n<p><span class=\"definition\">\ud480\uc774.<\/span><br \/>\n\uc720\ub9ac\uc218\uc758 \uac1c\uc218\uc640 \uc790\uc5f0\uc218\uc758 \uac1c\uc218\uac00 \uac19\uc73c\ubbc0\ub85c, \uc55e\uc758 \ubb38\uc81c\uc758 \ud480\uc774\uc5d0 \uc758\ud558\uc5ec \uace7\ubc14\ub85c \uacb0\ub860\uc744 \uc5bb\ub294\ub2e4.<br \/>\n<span class=\"qee\"><\/span>\n<\/p>\n<p><!-- \n\n\n\n --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ubb38\uc81c. \\(\\mathbb{N}\\)\uc774 \ubaa8\ub4e0 \uc790\uc5f0\uc218\uc758 \uc9d1\ud569\uc774\ub77c\uace0 \ud558\uc790. \uc774\ub54c, \\(\\mathbb{N}\\)\uc73c\ub85c\ubd80\ud130 \\(\\mathbb{N}\\)\uc73c\ub85c\uc758 \ud568\uc218, \uc989 \uc815\uc758\uc5ed\uacfc \uacf5\uc5ed\uc774 \ubaa8\ub450 \\(\\mathbb{N}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\uac00 \uc2e4\uc218\uc758 \uac1c\uc218\uc640 \uac19\uc74c\uc744 \ubcf4\uc774\uc2dc\uc624. \ud480\uc774. \ud45c\uae30\ub97c \ud3b8\ud558\uac8c \ud558\uae30 \uc704\ud558\uc5ec \uc815\uc758\uc5ed\uc774 \\(A\\)\uc774\uace0 \uacf5\uc5ed\uc774 \\(B\\)\uc778 \ud568\uc218\uc758 \ubaa8\uc784\uc744 \\(B^A\\)\ub85c \ub098\ud0c0\ub0b8\ub2e4. 1\ub2e8\uacc4. \uc815\uc758\uc5ed\uc774 \\(\\mathbb{N}\\)\uc774\uace0 \uacf5\uc5ed\uc774 \\(E = \\left\\{ 0,\\,1 \\right\\}\\)\uc778 \ud568\uc218\uc758 \uac1c\uc218\ub97c \uc138\uc5b4 \ubcf4\uc790. \uc989 \\(E^\\mathbb{N}\\)\uc758 \uc6d0\uc18c\uc758 \uac1c\uc218\ub97c \uc0dd\uac01\ud574 \ubcf4\uc790. \\(f\\in E^\\mathbb{N}\\)\ub77c\uace0 \ud558\uc790. \uadf8\ub7ec\uba74 \uac01 \uc790\uc5f0\uc218 \\(n\\)\uc5d0 \ub300\ud558\uc5ec \ud568\uc22b\uac12 \\(f(n)\\)\uc740 \\(0\\)&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"categories":[47,45],"tags":[],"class_list":["post-4553","post","type-post","status-publish","format-standard","hentry","category-calculus-ap","category-sets-and-logic"],"_links":{"self":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4553","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/comments?post=4553"}],"version-history":[{"count":20,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4553\/revisions"}],"predecessor-version":[{"id":4573,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4553\/revisions\/4573"}],"wp:attachment":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/media?parent=4553"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/categories?post=4553"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/tags?post=4553"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}