{"id":46385,"date":"2022-11-03T14:44:33","date_gmt":"2023-08-27T06:58:21","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/46385-2\/"},"modified":"2024-04-28T22:48:49","modified_gmt":"2024-04-28T14:48:49","slug":"46385-2","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/46385-2\/","title":{"rendered":""},"content":{"rendered":"

Jupyter\u306e\u5c0f\u6280\u306e\u7d9a\u304d<\/p>\n

Jupyter\u3067\u7b49\u5dee\u6570\u5217\u307e\u305f\u306f\u7b49\u6bd4\u6570\u5217\u3092\u8a08\u7b97\u3059\u308b<\/h1>\n

\u6e96\u5099\u3068\u3057\u3066\u3001\u307e\u305a\u3001\u4e0b\u8a18\u3092\u5b9f\u884c\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n

import<\/span> re<\/span>,<\/span> IPython<\/span>.<\/span>core<\/span>.<\/span>getipython<\/span>\r\nfrom<\/span> math<\/span> import<\/span> log<\/span>\r\nclass<\/span> NumberSequence<\/span>:<\/span>\r\n    def<\/span> __init__<\/span>(<\/span>self<\/span>,<\/span> s<\/span>):<\/span>\r\n        ss<\/span> =<\/span> [<\/span>t<\/span>.<\/span>replace<\/span>(<\/span>' '<\/span>,<\/span>''<\/span>)<\/span> for<\/span> t<\/span> in<\/span> re<\/span>.<\/span>sub<\/span>(<\/span>'(.)-'<\/span>,<\/span> r<\/span>'\\1+-'<\/span>,<\/span> s<\/span>).<\/span>split<\/span>(<\/span>'+'<\/span>)]<\/span>\r\n        assert<\/span> len<\/span>(<\/span>ss<\/span>)<\/span> ==<\/span> 3<\/span> or<\/span> (<\/span>len<\/span>(<\/span>ss<\/span>)<\/span> ><\/span> 3<\/span> and<\/span> ss<\/span>[<\/span>3<\/span>]<\/span> ==<\/span> '...'<\/span>)<\/span>\r\n        tt<\/span> =<\/span> [<\/span>int<\/span>(<\/span>i<\/span>)<\/span> for<\/span> i<\/span> in<\/span> ss<\/span>[:<\/span>3<\/span>]]<\/span>\r\n        d<\/span>,<\/span> e<\/span> =<\/span> tt<\/span>[<\/span>1<\/span>]<\/span> -<\/span> tt<\/span>[<\/span>0<\/span>],<\/span> tt<\/span>[<\/span>1<\/span>]<\/span>\/\/<\/span>(<\/span>tt<\/span>[<\/span>0<\/span>]<\/span> if<\/span> tt<\/span>[<\/span>0<\/span>]<\/span> else<\/span> 1<\/span>)<\/span>\r\n        isratio<\/span> =<\/span> tt<\/span>[<\/span>2<\/span>]<\/span>\/<\/span>(<\/span>tt<\/span>[<\/span>1<\/span>]<\/span> if<\/span> tt<\/span>[<\/span>1<\/span>]<\/span> else<\/span> 1<\/span>)<\/span> ==<\/span> e<\/span>\r\n        assert<\/span> isratio<\/span> or<\/span> tt<\/span>[<\/span>2<\/span>]<\/span>-<\/span>tt<\/span>[<\/span>1<\/span>]<\/span> ==<\/span> d<\/span>\r\n        ssum<\/span>,<\/span> self<\/span>.<\/span>value<\/span> =<\/span> r<\/span>'\\sum_{i=0}'<\/span>,<\/span> None<\/span>\r\n        if<\/span> len<\/span>(<\/span>ss<\/span>)<\/span> ><\/span> 4<\/span>:<\/span>\r\n            last<\/span> =<\/span> int<\/span>(<\/span>ss<\/span>[<\/span>-<\/span>1<\/span>])<\/span>\r\n            if<\/span> isratio<\/span>:<\/span>\r\n                n<\/span> =<\/span> int<\/span>(<\/span>round<\/span>(<\/span>log<\/span>(<\/span>last<\/span> \/<\/span> tt<\/span>[<\/span>0<\/span>],<\/span> abs<\/span>(<\/span>e<\/span>))))<\/span> +<\/span> 1<\/span>\r\n                assert<\/span> last<\/span> ==<\/span> tt<\/span>[<\/span>0<\/span>]<\/span>*<\/span>e<\/span>**<\/span>(<\/span>n<\/span>-<\/span>1<\/span>)<\/span>\r\n                self<\/span>.<\/span>value<\/span> =<\/span> sum<\/span>(<\/span>tt<\/span>[<\/span>0<\/span>]<\/span>*<\/span>e<\/span>**<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>n<\/span>))<\/span>\r\n            else<\/span>:<\/span>\r\n                n<\/span> =<\/span> (<\/span>last<\/span>-<\/span>tt<\/span>[<\/span>0<\/span>])<\/span> \/\/<\/span> d<\/span> +<\/span> 1<\/span>\r\n                assert<\/span> last<\/span> ==<\/span> tt<\/span>[<\/span>0<\/span>]<\/span>+<\/span>d<\/span>*<\/span>(<\/span>n<\/span>-<\/span>1<\/span>)<\/span>\r\n                self<\/span>.<\/span>value<\/span> =<\/span> sum<\/span>(<\/span>tt<\/span>[<\/span>0<\/span>]<\/span>+<\/span>d<\/span>*<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>n<\/span>))<\/span>\r\n            ssum<\/span> +=<\/span> '^{%d}'<\/span>%<\/span>(<\/span>n<\/span>-<\/span>1<\/span>)<\/span>\r\n        if<\/span> isratio<\/span>:<\/span>\r\n            self<\/span>.<\/span>form<\/span> =<\/span> '$%s{%s%d^i}$'<\/span>%<\/span>(<\/span>ssum<\/span>,<\/span> ''<\/span> if<\/span> tt<\/span>[<\/span>0<\/span>]<\/span>==<\/span>1<\/span> else<\/span> r<\/span>'%s \\times '<\/span>%<\/span>tt<\/span>[<\/span>1<\/span>],<\/span> e<\/span>)<\/span>\r\n        else<\/span>:<\/span>\r\n            self<\/span>.<\/span>form<\/span> =<\/span> r<\/span>'$%s{%s%s i}$'<\/span>%<\/span>(<\/span>ssum<\/span>,<\/span> ''<\/span> if<\/span> tt<\/span>[<\/span>0<\/span>]<\/span>==<\/span>0<\/span> else<\/span> '%s + '<\/span>%<\/span>tt<\/span>[<\/span>0<\/span>],<\/span>\r\n                ''<\/span> if<\/span> d<\/span>==<\/span>1<\/span> else<\/span> '%d <\/span>\\t<\/span>imes'<\/span>%<\/span>d<\/span>)<\/span>\r\n    def<\/span> _repr_html_<\/span>(<\/span>self<\/span>):<\/span>\r\n        if<\/span> self<\/span>.<\/span>value<\/span> is<\/span> not<\/span> None<\/span>:<\/span>\r\n            print<\/span>(<\/span>self<\/span>.<\/span>value<\/span>)<\/span>\r\n        return<\/span> self<\/span>.<\/span>form<\/span>\r\ndef<\/span> S_impl<\/span>(<\/span>s<\/span>):<\/span>\r\n    return<\/span> NumberSequence<\/span>(<\/span>s<\/span>)<\/span>\r\nip<\/span> =<\/span> IPython<\/span>.<\/span>core<\/span>.<\/span>getipython<\/span>.<\/span>get_ipython<\/span>()<\/span>\r\nif<\/span> ip<\/span>:<\/span>\r\n    ip<\/span>.<\/span>register_magic_function<\/span>(<\/span>S_impl<\/span>,<\/span> magic_name<\/span>=<\/span>'S'<\/span>)<\/span>\r\n<\/code><\/pre>\n
\u5b9f\u884c\u3057\u3066\u307f\u308b<\/h1>\n
%<\/span>S<\/span> 1<\/span>+<\/span>4<\/span>+<\/span>7<\/span>+<\/span>...<\/span>\r\n<\/code><\/pre>\n
$\\sum_{i=0}{1 + 3 \\times i}$<\/p>\n
\u8a08\u7b97\u5f0f\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/p>\n
\n
%<\/span>S<\/span> 1<\/span>+<\/span>4<\/span>+<\/span>7<\/span>+<\/span>...<\/span>+<\/span>19<\/span>\r\n>>><\/span>\r\n70<\/span>\r\n<\/code><\/pre>\n
$\\sum_{i=0}^{6}{1 + 3 \\times i}$<\/p>\n
\u6700\u5f8c\u306e\u9805\u304c\u3042\u308b\u3068\u3001\u5408\u8a08\u3068\u8a08\u7b97\u5f0f\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/p>\n
\n
%<\/span>S<\/span> 1<\/span>-<\/span>3<\/span>+<\/span>9<\/span>+<\/span>...<\/span>\r\n<\/code><\/pre>\n
$\\sum_{i=0}{-3^i}$<\/p>\n
\n
\u300c\uff05S\u300d\u306e\u300c\uff05\u300d\u3092\u7701\u7565\u3067\u304d\u307e\u3059\u3002<\/p>\n
S<\/span> 1<\/span> -<\/span> 3<\/span> +<\/span> 9<\/span> +<\/span> ...<\/span> +<\/span> 81<\/span>\r\n>>><\/span>\r\n61<\/span>\r\n<\/code><\/pre>\n
$\\sum_{i=0}^{4}{-3^i}$<\/p>\n
S<\/span> {<\/span>'+'<\/span>.<\/span>join<\/span>([<\/span>'0'<\/span>,<\/span>'1'<\/span>,<\/span>'2'<\/span>,<\/span>'...'<\/span>,<\/span>'100'<\/span>])}<\/span>\r\n>>><\/span>\r\n5050<\/span>\r\n<\/code><\/pre>\n
$\\sum_{i=0}^{100}{ i}$<\/p>\n
\u300c{ }\u300d\u3067\u56f2\u3080\u3068\u3001\u5148\u306b\u8a55\u4fa1(eval)\u3067\u304d\u307e\u3059\u3002<\/p>\n
\u4ee5\u4e0a<\/p>\n","protected":false},"excerpt":{"rendered":"
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Silicon Cloud\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-27T06:58:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-04-28T14:48:49+00:00\" \/>\n<meta name=\"author\" content=\"\u65b0, \u97f5\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u65b0, \u97f5\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.silicloud.com\/zh\/blog\/46385-2\/\",\"url\":\"https:\/\/www.silicloud.com\/zh\/blog\/46385-2\/\",\"name\":\"- Blog - Silicon Cloud\",\"isPartOf\":{\"@id\":\"https:\/\/www.silicloud.com\/zh\/blog\/#website\"},\"datePublished\":\"2023-08-27T06:58:21+00:00\",\"dateModified\":\"2024-04-28T14:48:49+00:00\",\"author\":{\"@id\":\"https:\/\/www.silicloud.com\/zh\/blog\/#\/schema\/person\/4ba4019495123db3038fd0809e6959c9\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.silicloud.com\/zh\/blog\/46385-2\/\"]}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.silicloud.com\/zh\/blog\/#website\",\"url\":\"https:\/\/www.silicloud.com\/zh\/blog\/\",\"name\":\"Blog - 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