{"id":472264,"date":"2025-08-26T21:00:15","date_gmt":"2025-08-26T21:00:15","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=472264"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=472264","title":{"rendered":"<span>\u041f\u043e\u0447\u0435\u043c\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0432 R^0, R^1, R^3, R^7?<\/span>"},"content":{"rendered":"<div><!--[--><!--]--><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p>\u0427\u0430\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0441 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u043c\u044b \u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043c\u0441\u044f \u0432 \u043a\u0443\u0440\u0441\u0435 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438, \u0433\u0434\u0435 \u043c\u044b \u0440\u0435\u0434\u043a\u043e \u0432\u044b\u0445\u043e\u0434\u0438\u043c \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0437\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c \u0442\u0440\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u043e\u0436\u0435\u0442 \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c\u0441\u044f \u0432\u043f\u0435\u0447\u0430\u0442\u043b\u0435\u043d\u0438\u0435, \u0447\u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043e\u0431\u043e\u0431\u0449\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043b\u044e\u0431\u0443\u044e \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c, \u043f\u043e \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0438 \u0441\u043e \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u044b\u043c. <\/p>\n<p>\u0412\u0441\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432. \u0412\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 <img decoding=\"async\" class=\"formula inline\" source=\"a \" alt=\"a \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/d45\/160\/a44\/d45160a44d580bb9013c21a0641198bb.svg\" width=\"10\" height=\"12\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/d45\/160\/a44\/d45160a44d580bb9013c21a0641198bb.svg 780w,&#10; 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b_2 &amp; b_3 \\end{pmatrix}\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f2d\/450\/e1e\/f2d450e1ea7daefff636d0e73adda8b1.svg\" width=\"218\" height=\"76\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f2d\/450\/e1e\/f2d450e1ea7daefff636d0e73adda8b1.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f2d\/450\/e1e\/f2d450e1ea7daefff636d0e73adda8b1.svg 781w\" loading=\"lazy\" decode=\"async\"\/>&#8212; \u0430 \u0442\u0430\u043a \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0437\u043d\u0430\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430 <img decoding=\"async\" class=\"formula inline\" source=\"a \\times b\" alt=\"a \\times b\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/65b\/466\/598\/65b466598763b1516bdc79354097d856.svg\" width=\"42\" height=\"17\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/65b\/466\/598\/65b466598763b1516bdc79354097d856.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/65b\/466\/598\/65b466598763b1516bdc79354097d856.svg 781w\" loading=\"lazy\" decode=\"async\"\/> <\/p>\n<p>\u0421\u0430\u043c\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u043e\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0438\u0437\u043b\u043e\u0436\u0435\u043d\u043e \u0432 [1], \u0435\u0433\u043e \u0441\u0443\u0442\u044c \u044f \u0438\u0437\u043b\u043e\u0436\u0443 \u0437\u0434\u0435\u0441\u044c. \u041e\u0441\u043d\u043e\u0432\u043d\u0430\u044f \u0438\u0434\u0435\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u043e\u043d\u0442\u0440\u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p>\u0414\u043b\u044f \u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u043e\u043d\u0430\u0434\u043e\u0431\u044f\u0442\u0441\u044f \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430, \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f. \u0418\u0445 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0430 \u0441\u043e\u0441\u0442\u043e\u044f\u0442 \u0432 \u0440\u0430\u0441\u043a\u0440\u044b\u0432\u0430\u043d\u0438\u0438 \u0441\u043a\u043e\u0431\u043e\u0447\u0435\u043a \u0438 \u043f\u0440\u0438\u0432\u0438\u0434\u0435\u043d\u0438\u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445, \u0442\u0430\u043a \u0447\u0442\u043e \u044d\u0442\u043e \u044f \u043e\u043f\u0443\u0449\u0443. \u041f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0438\u0437\u043b\u043e\u0436\u0435\u043d\u043e \u0432 [2].<\/p>\n<ol>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"w\\cdot(u \\times v) = -u \\cdot (w \\times v)\" alt=\"w\\cdot(u \\times v) = -u \\cdot (w \\times v)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/258\/2d8\/4bc\/2582d84bc3c66f309d285fdd2242f103.svg\" width=\"214\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/258\/2d8\/4bc\/2582d84bc3c66f309d285fdd2242f103.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/258\/2d8\/4bc\/2582d84bc3c66f309d285fdd2242f103.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"u \\times v = - v \\times u \\Rightarrow u \\times u = 0\" alt=\"u \\times v = - v \\times u \\Rightarrow u \\times u = 0\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/88c\/10a\/320\/88c10a320f8d1098a499daeac2049241.svg\" width=\"240\" height=\"17\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/88c\/10a\/320\/88c10a320f8d1098a499daeac2049241.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/88c\/10a\/320\/88c10a320f8d1098a499daeac2049241.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"v \\times (v \\times u) = (v \\cdot u)v - (v \\cdot v)u  \" alt=\"v \\times (v \\times u) = (v \\cdot u)v - (v \\cdot v)u  \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/57c\/c6d\/fa6\/57cc6dfa62dd0e763cf77ca46aee4c31.svg\" width=\"259\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/57c\/c6d\/fa6\/57cc6dfa62dd0e763cf77ca46aee4c31.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/57c\/c6d\/fa6\/57cc6dfa62dd0e763cf77ca46aee4c31.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"w \\times (v \\times u) = \u2212((w \\times v) \\times u) + (u \u00b7 v)w + (w \u00b7 v)u \u2212 2(w \u00b7 u)v\" alt=\"w \\times (v \\times u) = \u2212((w \\times v) \\times u) + (u \u00b7 v)w + (w \u00b7 v)u \u2212 2(w \u00b7 u)v\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/030\/435\/793\/0304357936c1f7b1fd72f14933fa0e52.svg\" width=\"518\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/030\/435\/793\/0304357936c1f7b1fd72f14933fa0e52.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/030\/435\/793\/0304357936c1f7b1fd72f14933fa0e52.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<\/ol>\n<p>\u0418\u0437 \u043f\u0435\u0440\u0432\u044b\u0445 \u0447\u0435\u0442\u044b\u0440\u0451\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0442\u0430\u043a\u0436\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0442:<\/p>\n<ul>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"u \\times (u \\times v) = -v \" alt=\"u \\times (u \\times v) = -v \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/b77\/d75\/e31\/b77d75e3134b32e42113e4ff27c140d0.svg\" width=\"144\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/b77\/d75\/e31\/b77d75e3134b32e42113e4ff27c140d0.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/b77\/d75\/e31\/b77d75e3134b32e42113e4ff27c140d0.svg 781w\" loading=\"lazy\" decode=\"async\"\/> <\/p>\n<\/li>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"w \\times (v \\times u) = -((w \\times v) \\times u)\" alt=\"w \\times (v \\times u) = -((w \\times v) \\times u)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ab9\/ec5\/3bb\/ab9ec53bb9d2fd331212b135640c4453.svg\" width=\"248\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ab9\/ec5\/3bb\/ab9ec53bb9d2fd331212b135640c4453.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ab9\/ec5\/3bb\/ab9ec53bb9d2fd331212b135640c4453.svg 781w\" loading=\"lazy\" decode=\"async\"\/>  <\/p>\n<\/li>\n<\/ul>\n<p>\u0412\u0432\u0435\u0434\u0451\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439:<\/p>\n<ul>\n<li>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"S_0 = \\{u_0\\},  S_k = S_{k\u22121} \\cup \\{u_k\\} \\cup (S_{k\u22121} \\times u_k)  \" alt=\"S_0 = \\{u_0\\},  S_k = S_{k\u22121} \\cup \\{u_k\\} \\cup (S_{k\u22121} \\times u_k)  \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e9e\/0de\/ad0\/e9e0dead07c6982dfdb137f06f8c278e.svg\" width=\"358\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e9e\/0de\/ad0\/e9e0dead07c6982dfdb137f06f8c278e.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e9e\/0de\/ad0\/e9e0dead07c6982dfdb137f06f8c278e.svg 781w\" loading=\"lazy\" decode=\"async\"\/>, \u0433\u0434\u0435 <img decoding=\"async\" class=\"formula inline\" source=\"u_k \\perp S_{k-1}\" alt=\"u_k \\perp S_{k-1}\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e1d\/275\/078\/e1d275078cccb61e828feb93ed3dbcec.svg\" width=\"84\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e1d\/275\/078\/e1d275078cccb61e828feb93ed3dbcec.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e1d\/275\/078\/e1d275078cccb61e828feb93ed3dbcec.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<li>\n<p> <img decoding=\"async\" class=\"formula inline\" source=\"S_i \\times S_j = \\{u \\times v, \\text{ \u0433\u0434\u0435 } u \\in S_i \\text{ \u0438 } v \\in S_j\\}\" alt=\"S_i \\times S_j = \\{u \\times v, \\text{ \u0433\u0434\u0435 } u \\in S_i \\text{ \u0438 } v \\in S_j\\}\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/2cb\/45e\/2a8\/2cb45e2a801ce9824e8fd15c70a1e6ab.svg\" width=\"318\" height=\"25\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/2cb\/45e\/2a8\/2cb45e2a801ce9824e8fd15c70a1e6ab.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/2cb\/45e\/2a8\/2cb45e2a801ce9824e8fd15c70a1e6ab.svg 781w\" loading=\"lazy\" decode=\"async\"\/>  <\/p>\n<\/li>\n<li>\n<p> <img decoding=\"async\" class=\"formula inline\" source=\"\\pm S_i = S_i \\cup (\u2212S_i)\" alt=\"\\pm S_i = S_i \\cup (\u2212S_i)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/55f\/f18\/0c4\/55ff180c4867fa3aebbc2a5100e0e2e9.svg\" width=\"148\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/55f\/f18\/0c4\/55ff180c4867fa3aebbc2a5100e0e2e9.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/55f\/f18\/0c4\/55ff180c4867fa3aebbc2a5100e0e2e9.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<\/li>\n<\/ul>\n<p><strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 1<\/strong><\/p>\n<p>\u041e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u043f\u0440\u0438 \u0442\u0430\u043a\u043e\u043c \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"S_k\" alt=\"S_k\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/6f5\/59e\/2a8\/6f559e2a8f96c143e003f9bde816ba9e.svg\" width=\"21\" height=\"20\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/6f5\/59e\/2a8\/6f559e2a8f96c143e003f9bde816ba9e.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/6f5\/59e\/2a8\/6f559e2a8f96c143e003f9bde816ba9e.svg 781w\" loading=\"lazy\" decode=\"async\"\/>\u2014 \u043e\u0440\u0442\u043e\u043d\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e. \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e <img decoding=\"async\" class=\"formula inline\" source=\"S_k \\times S_k = \\pm S_k \\text{ \u0438 } |S_k| = 2^{k+1}\u22121 \" alt=\"S_k \\times S_k = \\pm S_k \\text{ \u0438 } |S_k| = 2^{k+1}\u22121 \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/048\/87c\/20e\/04887c20eb6f8635fbad2af12e16e6e6.svg\" width=\"272\" height=\"25\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/048\/87c\/20e\/04887c20eb6f8635fbad2af12e16e6e6.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/048\/87c\/20e\/04887c20eb6f8635fbad2af12e16e6e6.svg 781w\" loading=\"lazy\" decode=\"async\"\/>.<\/p>\n<p> <strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 2<\/strong> <\/p>\n<p>\u0415\u0441\u043b\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"u = (u_0 \\times u_1) + (u_1 \\times u_3)\" alt=\"u = (u_0 \\times u_1) + (u_1 \\times u_3)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/fdc\/736\/633\/fdc736633e822a20d2bae156ffa6d2f6.svg\" width=\"217\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/fdc\/736\/633\/fdc736633e822a20d2bae156ffa6d2f6.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/fdc\/736\/633\/fdc736633e822a20d2bae156ffa6d2f6.svg 781w\" loading=\"lazy\" decode=\"async\"\/>\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"v = (u_1 \\times u_2)\u2212 (((u_0 \\times u_1)\\times u_2)\\times u_3)\" alt=\"v = (u_1 \\times u_2)\u2212 (((u_0 \\times u_1)\\times u_2)\\times u_3)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/524\/057\/6be\/5240576be1b16a6a0d7264454ad079cf.svg\" width=\"332\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/524\/057\/6be\/5240576be1b16a6a0d7264454ad079cf.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/524\/057\/6be\/5240576be1b16a6a0d7264454ad079cf.svg 781w\" loading=\"lazy\" decode=\"async\"\/>, \u0442\u043e <img decoding=\"async\" class=\"formula inline\" source=\"u \\times v = 0\" alt=\"u \\times v = 0\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c80\/07a\/bc6\/c8007abc6c13059de99e3b10a8372dd2.svg\" width=\"79\" height=\"16\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c80\/07a\/bc6\/c8007abc6c13059de99e3b10a8372dd2.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c80\/07a\/bc6\/c8007abc6c13059de99e3b10a8372dd2.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u0438 <img decoding=\"async\" class=\"formula inline\" source=\"u \\perp v\" alt=\"u \\perp v\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a3\/768\/182\/1a37681829a720c7174ae96372f79134.svg\" width=\"46\" height=\"16\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a3\/768\/182\/1a37681829a720c7174ae96372f79134.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a3\/768\/182\/1a37681829a720c7174ae96372f79134.svg 781w\" loading=\"lazy\" decode=\"async\"\/>.  <\/p>\n<p><strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 3<\/strong><\/p>\n<p> \u0415\u0441\u043b\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"u = (u_0 \\times u_1) + (u_1 \\times u_3)\" alt=\"u = (u_0 \\times u_1) + (u_1 \\times u_3)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a8\/620\/794\/1a8620794cd76af9d0f35a30e9ada367.svg\" width=\"217\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a8\/620\/794\/1a8620794cd76af9d0f35a30e9ada367.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/1a8\/620\/794\/1a8620794cd76af9d0f35a30e9ada367.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u0438 <img decoding=\"async\" class=\"formula inline\" source=\"v = (u_1 \\times u_2) \u2212 (((u_0 \\times u_1)\\times u_2)\\times u_3), \" alt=\"v = (u_1 \\times u_2) \u2212 (((u_0 \\times u_1)\\times u_2)\\times u_3), \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c06\/0fd\/39c\/c060fd39c22434497f687b42ada57fa6.svg\" width=\"337\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c06\/0fd\/39c\/c060fd39c22434497f687b42ada57fa6.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c06\/0fd\/39c\/c060fd39c22434497f687b42ada57fa6.svg 781w\" loading=\"lazy\" decode=\"async\"\/>\u0442\u043e <img decoding=\"async\" class=\"formula inline\" source=\"(u \\cdot u)(v \\cdot v) \\neq (u \u00d7 v) \u00b7 (u \u00d7 v) + (u \u00b7 v)^2   \" alt=\"(u \\cdot u)(v \\cdot v) \\neq (u \u00d7 v) \u00b7 (u \u00d7 v) + (u \u00b7 v)^2   \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c0b\/8e4\/559\/c0b8e4559f16bce01f5d6956dc599392.svg\" width=\"338\" height=\"25\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c0b\/8e4\/559\/c0b8e4559f16bce01f5d6956dc599392.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/c0b\/8e4\/559\/c0b8e4559f16bce01f5d6956dc599392.svg 781w\" loading=\"lazy\" decode=\"async\"\/>.<\/p>\n<p>\u0418\u0437 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f 1 \u0441\u043b\u0435\u0434\u0443\u0435\u0442, \u0447\u0442\u043e <img decoding=\"async\" class=\"formula inline\" source=\"n = 2^{k+1} - 1\" alt=\"n = 2^{k+1} - 1\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/74f\/87b\/6c7\/74f87b6c7a6d6401ca2b5e11356a8ab6.svg\" width=\"107\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/74f\/87b\/6c7\/74f87b6c7a6d6401ca2b5e11356a8ab6.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/74f\/87b\/6c7\/74f87b6c7a6d6401ca2b5e11356a8ab6.svg 781w\" loading=\"lazy\" decode=\"async\"\/>, \u0430 \u0438\u0437 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0439 2 \u0438 3, \u0447\u0442\u043e \u043f\u0440\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"k\\geq3\" alt=\"k\\geq3\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/8c1\/670\/880\/8c1670880b658cb40aff1596ddf8f568.svg\" width=\"45\" height=\"19\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/8c1\/670\/880\/8c1670880b658cb40aff1596ddf8f568.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/8c1\/670\/880\/8c1670880b658cb40aff1596ddf8f568.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442\u0441\u044f \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e (<img decoding=\"async\" class=\"formula inline\" source=\"\\star\" alt=\"\\star\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/7fc\/b13\/a27\/7fcb13a271e28308ef45cc3af23f10bc.svg\" width=\"10\" height=\"12\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/7fc\/b13\/a27\/7fcb13a271e28308ef45cc3af23f10bc.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/7fc\/b13\/a27\/7fcb13a271e28308ef45cc3af23f10bc.svg 781w\" loading=\"lazy\" decode=\"async\"\/>). \u0414\u043b\u044f<img decoding=\"async\" class=\"formula inline\" source=\" R^0 \" alt=\" R^0 \" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/166\/50c\/e67\/16650ce6748c5c4e302cf58745437462.svg\" width=\"23\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/166\/50c\/e67\/16650ce6748c5c4e302cf58745437462.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/166\/50c\/e67\/16650ce6748c5c4e302cf58745437462.svg 781w\" loading=\"lazy\" decode=\"async\"\/>\u0438 <img decoding=\"async\" class=\"formula inline\" source=\"R^1\" alt=\"R^1\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/d98\/0f9\/fc5\/d980f9fc51930a4d2199438237ac3238.svg\" width=\"23\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/d98\/0f9\/fc5\/d980f9fc51930a4d2199438237ac3238.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/d98\/0f9\/fc5\/d980f9fc51930a4d2199438237ac3238.svg 781w\" loading=\"lazy\" decode=\"async\"\/>\u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0441\u0442\u043e \u0440\u0430\u0432\u043d\u043e 0. \u0410 \u0432\u043e\u0442, \u043a\u0430\u043a \u0441\u0442\u0440\u043e\u044f\u0442\u0441\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0432 <img decoding=\"async\" class=\"formula inline\" source=\"R^3\" alt=\"R^3\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/3f8\/293\/02c\/3f829302c98436def2c058aa6c610eb2.svg\" width=\"23\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/3f8\/293\/02c\/3f829302c98436def2c058aa6c610eb2.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/3f8\/293\/02c\/3f829302c98436def2c058aa6c610eb2.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u0438 <img decoding=\"async\" class=\"formula inline\" source=\"R^7\" alt=\"R^7\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ba1\/8cd\/0cf\/ba18cd0cfbdf7adb983cf48a26d5a81c.svg\" width=\"23\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ba1\/8cd\/0cf\/ba18cd0cfbdf7adb983cf48a26d5a81c.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ba1\/8cd\/0cf\/ba18cd0cfbdf7adb983cf48a26d5a81c.svg 781w\" loading=\"lazy\" decode=\"async\"\/>:<\/p>\n<figure class=\"\"><img decoding=\"async\" src=\"https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/6cb\/356\/3c7\/6cb3563c75dc5cbb002b4f40ecb5200f.png\" alt=\"\" title=\"\" width=\"194\" height=\"97\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/r\/w780\/getpro\/habr\/upload_files\/6cb\/356\/3c7\/6cb3563c75dc5cbb002b4f40ecb5200f.png 780w,&#10;       https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/6cb\/356\/3c7\/6cb3563c75dc5cbb002b4f40ecb5200f.png 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<div><figcaption><img decoding=\"async\" class=\"formula inline\" source=\"R^3\" alt=\"R^3\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/455\/64f\/44945564f10ccdf58dbd0685f8f89f6b.svg\" width=\"19\" height=\"17\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/455\/64f\/44945564f10ccdf58dbd0685f8f89f6b.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/455\/64f\/44945564f10ccdf58dbd0685f8f89f6b.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/figcaption><\/div>\n<\/figure>\n<figure class=\"\"><img decoding=\"async\" src=\"https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/dcb\/b26\/892\/dcbb268928e313e307d14e474fee6ef8.png\" alt=\"\" title=\"\" width=\"354\" height=\"175\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/r\/w780\/getpro\/habr\/upload_files\/dcb\/b26\/892\/dcbb268928e313e307d14e474fee6ef8.png 780w,&#10;       https:\/\/habrastorage.org\/r\/w1560\/getpro\/habr\/upload_files\/dcb\/b26\/892\/dcbb268928e313e307d14e474fee6ef8.png 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<div><figcaption><img decoding=\"async\" class=\"formula inline\" source=\"R^7\" alt=\"R^7\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/390\/032\/d28\/390032d2863887ac866c5c05d3cda3d7.svg\" width=\"19\" height=\"17\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/390\/032\/d28\/390032d2863887ac866c5c05d3cda3d7.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/390\/032\/d28\/390032d2863887ac866c5c05d3cda3d7.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/figcaption><\/div>\n<\/figure>\n<p>\u0412\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432 <img decoding=\"async\" class=\"formula inline\" source=\"R^3\" alt=\"R^3\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/0a5\/692\/4490a56924753c22fe7772d5930e1cd7.svg\" width=\"23\" height=\"21\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/0a5\/692\/4490a56924753c22fe7772d5930e1cd7.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/449\/0a5\/692\/4490a56924753c22fe7772d5930e1cd7.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0438\u0441\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u043e\u0432. \u0412 \u043e\u0431\u0449\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u0432\u0435\u043a\u0442\u043e\u0440 <img decoding=\"async\" class=\"formula inline\" source=\"[a_1, a_2, a_3]\" alt=\"[a_1, a_2, a_3]\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/aaa\/177\/ae0\/aaa177ae0942ea55f56913ab6f386a7f.svg\" width=\"85\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/aaa\/177\/ae0\/aaa177ae0942ea55f56913ab6f386a7f.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/aaa\/177\/ae0\/aaa177ae0942ea55f56913ab6f386a7f.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u0432 \u0432\u0438\u0434\u0435 \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u0430 <img decoding=\"async\" class=\"formula inline\" source=\"{a_1}i + {a_2}j + {a_3}k,\" alt=\"{a_1}i + {a_2}j + {a_3}k,\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e78\/c70\/f4a\/e78c70f4a57673d96b583fe418b0f198.svg\" width=\"134\" height=\"20\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e78\/c70\/f4a\/e78c70f4a57673d96b583fe418b0f198.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/e78\/c70\/f4a\/e78c70f4a57673d96b583fe418b0f198.svg 781w\" loading=\"lazy\" decode=\"async\"\/> \u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u044d\u0442\u043e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d, \u043d\u043e \u043f\u043e\u0441\u043b\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430\u0434\u043e \u043e\u0442\u0431\u0440\u043e\u0441\u0438\u0442\u044c \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c. \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440: <\/p>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"a = (1, 2, 3); b = (-1, 0, 2)\" alt=\"a = (1, 2, 3); b = (-1, 0, 2)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ca8\/075\/32f\/ca807532f4f92e810ca04a94ef1bd36c.svg\" width=\"216\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ca8\/075\/32f\/ca807532f4f92e810ca04a94ef1bd36c.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/ca8\/075\/32f\/ca807532f4f92e810ca04a94ef1bd36c.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"ab = (i + 2j + 3k)(-1i + 2k) = -1 - 6 + (2j-2k+4i-3j) = -7 + (4i - j -2k)\" alt=\"ab = (i + 2j + 3k)(-1i + 2k) = -1 - 6 + (2j-2k+4i-3j) = -7 + (4i - j -2k)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/046\/b85\/168\/046b85168123d9106c2e06edf24f0f1a.svg\" width=\"684\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/046\/b85\/168\/046b85168123d9106c2e06edf24f0f1a.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/046\/b85\/168\/046b85168123d9106c2e06edf24f0f1a.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<p><img decoding=\"async\" class=\"formula inline\" source=\"(a, b) = -7; a \\times b = (4, -1, -2)\" alt=\"(a, b) = -7; a \\times b = (4, -1, -2)\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/745\/4e8\/1fb\/7454e81fbb2c08b47e43c851397df3af.svg\" width=\"260\" height=\"22\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/745\/4e8\/1fb\/7454e81fbb2c08b47e43c851397df3af.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/745\/4e8\/1fb\/7454e81fbb2c08b47e43c851397df3af.svg 781w\" loading=\"lazy\" decode=\"async\"\/><\/p>\n<p>\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0434\u043b\u044f \u0441\u0435\u043c\u0438\u043c\u0435\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430, \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u043c\u0435\u0441\u0442\u043e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u043e\u0432 \u0441\u0442\u043e\u0438\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043e\u043a\u0442\u043e\u043d\u0438\u043e\u043d\u044b.<\/p>\n<p><strong>\u0421\u043f\u0438\u0441\u043e\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u043e\u0432:<\/strong><\/p>\n<ol>\n<li>\n<p>Peter F. Mcloughlin, \u201cWhen does a cross product on <img decoding=\"async\" class=\"formula inline\" source=\"R^n\" alt=\"R^n\" src=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f31\/d76\/2f7\/f31d762f7cef0b8c0b1ad1455e8ade1b.svg\" width=\"25\" height=\"18\" sizes=\"auto, (max-width: 780px) 100vw, 50vw\" srcset=\"https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f31\/d76\/2f7\/f31d762f7cef0b8c0b1ad1455e8ade1b.svg 780w,&#10;       https:\/\/habrastorage.org\/getpro\/habr\/upload_files\/f31\/d76\/2f7\/f31d762f7cef0b8c0b1ad1455e8ade1b.svg 781w\" loading=\"lazy\" decode=\"async\"\/> exists?\u201d, Electronic copy found at: <a href=\"https:\/\/www.arxiv.org\/pdf\/1212.3515v6\" rel=\"noopener noreferrer nofollow\">https:\/\/www.arxiv.org\/pdf\/1212.3515v6<\/a> <\/p>\n<\/li>\n<li>\n<p>Peter F. Mcloughlin, \u201cBasic Properties of Cross Products\u201d, Electronic copy found at: <a href=\"http:\/\/www.math.csusb.edu\/faculty\/pmclough\/BP.pdf\" rel=\"noopener noreferrer nofollow\">http:\/\/www.math.csusb.edu\/faculty\/pmclough\/BP.pdf<\/a> <\/p>\n<\/li>\n<\/ol>\n<p>P.s. \u0430 \u0435\u0449\u0451 \u0443 \u043c\u0435\u043d\u044f \u0435\u0441\u0442\u044c \u0442\u0433\u043a \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u043d\u0435 \u043c\u0435\u043d\u0435\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b\u043c\u0438 \u0437\u0430\u043c\u0435\u0442\u043a\u0430\u043c\u0438\u00a0<a href=\"https:\/\/t.me\/mathematuchka\" rel=\"noopener noreferrer nofollow\">https:\/\/t.me\/mathematuchka<\/a>  <\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><!----><!----><\/div>\n<p><!----><!----><br \/> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/articles\/941000\/\"> https:\/\/habr.com\/ru\/articles\/941000\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div><!--[--><!--]--><\/div>\n<div id=\"post-content-body\">\n<div>\n<div class=\"article-formatted-body article-formatted-body article-formatted-body_version-2\">\n<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\">\n<p>\u0427\u0430\u0449\u0435 \u0432\u0441\u0435\u0433\u043e \u0441 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u043c\u044b \u0437\u043d\u0430\u043a\u043e\u043c\u0438\u043c\u0441\u044f \u0432 \u043a\u0443\u0440\u0441\u0435 \u0430\u043d\u0430\u043b\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438, \u0433\u0434\u0435 \u043c\u044b \u0440\u0435\u0434\u043a\u043e \u0432\u044b\u0445\u043e\u0434\u0438\u043c \u0432 \u0437\u0430\u0434\u0430\u0447\u0430\u0445 \u0437\u0430 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c \u0442\u0440\u0438, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u043e\u0436\u0435\u0442 \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c\u0441\u044f \u0432\u043f\u0435\u0447\u0430\u0442\u043b\u0435\u043d\u0438\u0435, \u0447\u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043e\u0431\u043e\u0431\u0449\u0430\u0435\u0442\u0441\u044f \u043d\u0430 \u043b\u044e\u0431\u0443\u044e \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u044c, \u043f\u043e \u0430\u043d\u0430\u043b\u043e\u0433\u0438\u0438 \u0441\u043e \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u044b\u043c. <\/p>\n<p>\u0412\u0441\u043f\u043e\u043c\u043d\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432. \u0412\u0435\u043a\u0442\u043e\u0440\u043d\u044b\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432  \u0438  (\u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442\u0441\u044f ) \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0432\u0435\u043a\u0442\u043e\u0440, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0439 \u043e\u0431\u043e\u0438\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c  \u0438  \u0438 \u0447\u0438\u0441\u043b\u0435\u043d\u043d\u043e \u0440\u0430\u0432\u043d\u044b\u0439 \u043f\u043e \u0434\u043b\u0438\u043d\u0435 \u043f\u043b\u043e\u0449\u0430\u0434\u0438 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u043e\u0433\u0440\u0430\u043c\u043c\u0430, \u043d\u0430\u0442\u044f\u043d\u0443\u0442\u043e\u0433\u043e \u043d\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u044b, \u0442\u0443 \u0436\u0435 \u0434\u043b\u0438\u043d\u0443 \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442 \u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0413\u0440\u0430\u043c\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432  \u0447\u0442\u043e \u0432\u043b\u0435\u0447\u0451\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e:<\/p>\n<\/p>\n<p><strong>\u0421\u043f\u043e\u0441\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f:<\/strong><\/p>\n<p>\u0433\u0434\u0435  &#8212; \u0443\u0433\u043e\u043b \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430\u043c\u0438  \u0438 .<\/p>\n<p>&#8212; \u0430 \u0442\u0430\u043a \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0437\u043d\u0430\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0432\u0435\u043a\u0442\u043e\u0440\u0430  <\/p>\n<p>\u0421\u0430\u043c\u043e\u0435 \u043f\u0440\u043e\u0441\u0442\u043e\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0438\u0437\u043b\u043e\u0436\u0435\u043d\u043e \u0432 [1], \u0435\u0433\u043e \u0441\u0443\u0442\u044c \u044f \u0438\u0437\u043b\u043e\u0436\u0443 \u0437\u0434\u0435\u0441\u044c. \u041e\u0441\u043d\u043e\u0432\u043d\u0430\u044f \u0438\u0434\u0435\u044f \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0432 \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u043e\u043d\u0442\u0440\u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u0434\u043b\u044f \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432 \u0431\u043e\u043b\u044c\u0448\u043e\u0439 \u0440\u0430\u0437\u043c\u0435\u0440\u043d\u043e\u0441\u0442\u0438.<\/p>\n<p>\u0414\u043b\u044f \u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u043e\u043d\u0430\u0434\u043e\u0431\u044f\u0442\u0441\u044f \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430, \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f. \u0418\u0445 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u0430 \u0441\u043e\u0441\u0442\u043e\u044f\u0442 \u0432 \u0440\u0430\u0441\u043a\u0440\u044b\u0432\u0430\u043d\u0438\u0438 \u0441\u043a\u043e\u0431\u043e\u0447\u0435\u043a \u0438 \u043f\u0440\u0438\u0432\u0438\u0434\u0435\u043d\u0438\u0438 \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u0445, \u0442\u0430\u043a \u0447\u0442\u043e \u044d\u0442\u043e \u044f \u043e\u043f\u0443\u0449\u0443. \u041f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c\u0441\u0442\u0432\u043e \u0438\u0437\u043b\u043e\u0436\u0435\u043d\u043e \u0432 [2].<\/p>\n<ol>\n<li>\n<\/li>\n<li>\n<\/li>\n<li>\n<\/li>\n<li>\n<\/li>\n<\/ol>\n<p>\u0418\u0437 \u043f\u0435\u0440\u0432\u044b\u0445 \u0447\u0435\u0442\u044b\u0440\u0451\u0445 \u0441\u0432\u043e\u0439\u0441\u0442\u0432 \u0442\u0430\u043a\u0436\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0442:<\/p>\n<ul>\n<li>\n<\/li>\n<li>\n<\/li>\n<\/ul>\n<p>\u0412\u0432\u0435\u0434\u0451\u043c \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0439:<\/p>\n<ul>\n<li>\n<p>, \u0433\u0434\u0435 <\/p>\n<\/li>\n<li>\n<\/li>\n<li>\n<\/li>\n<\/ul>\n<p><strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 1<\/strong><\/p>\n<p>\u041e\u043a\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u043f\u0440\u0438 \u0442\u0430\u043a\u043e\u043c \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0438 \u2014 \u043e\u0440\u0442\u043e\u043d\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u043d\u043e\u0435 \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e. \u0411\u043e\u043b\u0435\u0435 \u0442\u043e\u0433\u043e, \u0447\u0442\u043e .<\/p>\n<p> <strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 2<\/strong> <\/p>\n<p>\u0415\u0441\u043b\u0438 \u0438 , \u0442\u043e  \u0438 .  <\/p>\n<p><strong>\u0423\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0435 3<\/strong><\/p>\n<p> \u0415\u0441\u043b\u0438  \u0438 \u0442\u043e .<\/p>\n<p>\u0418\u0437 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u044f 1 \u0441\u043b\u0435\u0434\u0443\u0435\u0442, \u0447\u0442\u043e , \u0430 \u0438\u0437 \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043d\u0438\u0439 2 \u0438 3, \u0447\u0442\u043e \u043f\u0440\u0438  \u043d\u0430\u0440\u0443\u0448\u0430\u0435\u0442\u0441\u044f \u0442\u043e\u0436\u0434\u0435\u0441\u0442\u0432\u043e (). \u0414\u043b\u044f\u0438 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u043f\u0440\u043e\u0441\u0442\u043e \u0440\u0430\u0432\u043d\u043e 0. \u0410 \u0432\u043e\u0442, \u043a\u0430\u043a \u0441\u0442\u0440\u043e\u044f\u0442\u0441\u044f \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0432  \u0438 :<\/p>\n<figure class=\"\">\n<div><figcaption><\/figcaption><\/div>\n<\/figure>\n<figure class=\"\">\n<div><figcaption><\/figcaption><\/div>\n<\/figure>\n<p>\u0412\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0432  \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u043d\u043e \u043e\u043f\u0438\u0441\u0430\u0442\u044c \u0441 \u043f\u043e\u043c\u043e\u0449\u044c\u044e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u043e\u0432. \u0412 \u043e\u0431\u0449\u0435\u043c \u0441\u043b\u0443\u0447\u0430\u0435, \u0435\u0441\u043b\u0438 \u0432\u0435\u043a\u0442\u043e\u0440  \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u0432 \u0432\u0438\u0434\u0435 \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u0430  \u0442\u043e \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u044d\u0442\u043e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d, \u043d\u043e \u043f\u043e\u0441\u043b\u0435 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u044f \u043d\u0430\u0434\u043e \u043e\u0442\u0431\u0440\u043e\u0441\u0438\u0442\u044c \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c. \u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044e \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440: <\/p>\n<\/p>\n<\/p>\n<p>\u0410\u043d\u0430\u043b\u043e\u0433\u0438\u0447\u043d\u043e \u0434\u043b\u044f \u0441\u0435\u043c\u0438\u043c\u0435\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430, \u0442\u043e\u043b\u044c\u043a\u043e \u0432\u043c\u0435\u0441\u0442\u043e \u043a\u0432\u0430\u0442\u0435\u0440\u043d\u0438\u043e\u043d\u043e\u0432 \u0441\u0442\u043e\u0438\u0442 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043e\u043a\u0442\u043e\u043d\u0438\u043e\u043d\u044b.<\/p>\n<p><strong>\u0421\u043f\u0438\u0441\u043e\u043a \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u043d\u044b\u0445 \u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u043e\u0432:<\/strong><\/p>\n<ol>\n<li>\n<p>Peter F. Mcloughlin, \u201cWhen does a cross product on  exists?\u201d, Electronic copy found at: <a href=\"https:\/\/www.arxiv.org\/pdf\/1212.3515v6\" rel=\"noopener noreferrer nofollow\">https:\/\/www.arxiv.org\/pdf\/1212.3515v6<\/a> <\/p>\n<\/li>\n<li>\n<p>Peter F. Mcloughlin, \u201cBasic Properties of Cross Products\u201d, Electronic copy found at: <a href=\"http:\/\/www.math.csusb.edu\/faculty\/pmclough\/BP.pdf\" rel=\"noopener noreferrer nofollow\">http:\/\/www.math.csusb.edu\/faculty\/pmclough\/BP.pdf<\/a> <\/p>\n<\/li>\n<\/ol>\n<p>P.s. \u0430 \u0435\u0449\u0451 \u0443 \u043c\u0435\u043d\u044f \u0435\u0441\u0442\u044c \u0442\u0433\u043a \u0441 \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u043d\u0435 \u043c\u0435\u043d\u0435\u0435 \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u044b\u043c\u0438 \u0437\u0430\u043c\u0435\u0442\u043a\u0430\u043c\u0438\u00a0<a href=\"https:\/\/t.me\/mathematuchka\" rel=\"noopener noreferrer nofollow\">https:\/\/t.me\/mathematuchka<\/a>  <\/p>\n<\/div>\n<\/div>\n<\/div>\n<p><!----><!----><\/div>\n<p><!----><!----><br \/> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/habr.com\/ru\/articles\/941000\/\"> https:\/\/habr.com\/ru\/articles\/941000\/<\/a><br \/><\/br><\/br><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-472264","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/472264","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=472264"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/472264\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=472264"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=472264"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=472264"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}