{"id":191,"date":"2024-01-02T13:35:37","date_gmt":"2024-01-02T04:35:37","guid":{"rendered":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/?page_id=191"},"modified":"2025-09-30T17:23:26","modified_gmt":"2025-09-30T08:23:26","slug":"%e7%a0%94%e7%a9%b6%e6%b4%bb%e5%8b%95","status":"publish","type":"page","link":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/?page_id=191","title":{"rendered":"\u7814 \u7a76 \u6d3b \u52d5"},"content":{"rendered":"\n<p>\u7814\u7a76\u5206\u91ce\u306f\u4ee3\u6570\u5b66\u3001\u7d44\u5408\u305b\u6570\u5b66\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u3001\u30ed\u30b8\u30c3\u30af\u3001\u60c5\u5831\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u3068\u306a\u308a\u3001\u6570\u5b66\u3068\u60c5\u5831\u5b66\u57fa\u790e\u306b\u5e83\u7bc4\u56f2\u306b\u308f\u305f\u308a\u307e\u3059\u3002 \u3053\u308c\u3089\u306e\u7814\u7a76\u306e\u6839\u5e95\u306b\u306f\u3001\u6570\u5b66\u7684\u306a\u69cb\u9020\u3068\u305d\u308c\u306b\u95a2\u308f\u308b\u30a2\u30ea\u30b4\u30ea\u30ba\u30e0\u3092\u89e3\u6790\u3059\u308b\u3068\u3044\u3046\u5171\u901a\u306e\u76ee\u6a19\u304c\u3042\u308a\u307e\u3059\u3002 \u7279\u306b\u3001\u4ee3\u6570\u7cfb\uff08\u7fa4\u3001\u534a\u7fa4\u3001\u4e9c\u7fa4\uff09\u306e\u69cb\u9020\u306e\u89e3\u6790\u3068\u95a2\u9023\u3059\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u3066\u3001\u5b9f\u793e\u4f1a\u306b\u5f79\u7acb\u3064\u6697\u53f7\u6280\u8853\u3084\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u306b\u5fdc\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/AIMangaMe_11002.png\" alt=\"\" class=\"wp-image-908\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/AIMangaMe_11002.png 1024w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/AIMangaMe_11002-300x300.png 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/AIMangaMe_11002-150x150.png 150w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/AIMangaMe_11002-768x768.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u7fa4\u30fb\u534a\u7fa4\u30fb\u4e9c\u7fa4<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"561\" height=\"599\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-06-21-15.13.12.png\" alt=\"\" class=\"wp-image-932\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-06-21-15.13.12.png 561w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-06-21-15.13.12-281x300.png 281w\" sizes=\"auto, (max-width: 561px) 100vw, 561px\" \/><figcaption class=\"wp-element-caption\">3\u6b21\u306e\u81ea\u7531\u7fa4\u306e\u30b1\u30fc\u30ea\u30fc\u30b0\u30e9\u30d5<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"613\" height=\"608\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2023\/12\/penrose-tiling.png\" alt=\"\" class=\"wp-image-102\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2023\/12\/penrose-tiling.png 613w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2023\/12\/penrose-tiling-300x298.png 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2023\/12\/penrose-tiling-150x150.png 150w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><figcaption class=\"wp-element-caption\">\u30da\u30f3\u30ed\u30fc\u30ba\u30bf\u30a4\u30ea\u30f3\u30b0<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>\u7fa4\u3001\u534a\u7fa4\uff08\u7279\u306b\u9006\u534a\u7fa4\uff09\u3001\u4e9c\u7fa4\uff08Groupoid\uff09\u306e\u6709\u9650\u8868\u793a\u3068\u4ee3\u6570\u7684\u69cb\u9020\u306e\u89e3\u660e\u3001\u305d\u3057\u3066\u3001\u95a2\u9023\u3059\u308b\u8a9e\u306e\u554f\u984c\u3084\u305d\u306e\u4ed6\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u554f\u984c\u306b\u53d6\u308a\u7d44\u3093\u3067\u3044\u307e\u3059\u3002\u7121\u9650\u7fa4\u3084\u7121\u9650\u534a\u7fa4\u306f\u69cb\u9020\u304c\u5206\u304b\u308a\u306b\u304f\u3044\u3082\u306e\u3067\u3059\u304c\u3001\u5e7e\u4f55\u5b66\u7684\u306a\u69cb\u9020\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u52b9\u7387\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u69cb\u7bc9\u3059\u308b\u3053\u3068\u304c\u51fa\u6765\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u81ea\u7531\u7a4d\u3001\u878d\u5408\u7a4d\u3001HNN\u62e1\u5927\u306a\u3069\u306e\u7d44\u5408\u305b\u7fa4\u8ad6\u30fb\u5e7e\u4f55\u5b66\u7fa4\u8ad6\u306b\u304a\u3051\u308b\u91cd\u8981\u6982\u5ff5\u3068Bass -Serre\u7406\u8ad6\u3068\u306e\u95a2\u9023\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1016\/j.jalgebra.2004.02.010\">\u8ad6\u6587\uff11<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1017\/s1446788700002639\">\u8ad6\u6587\uff12<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1142\/S0218196702000900\">\u8ad6\u6587\uff13<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1016\/j.jpaa.2006.10.012\">\u8ad6\u6587\uff14<\/a>\uff09<\/p>\n\n\n\n<p>\u30b0\u30e9\u30d5\u3084\u7d44\u5408\u305b\u69cb\u9020\u3092\u7528\u3044\u305f\u624b\u6cd5\u3060\u3051\u3067\u306a\u304fvan Kampen \u30c0\u30a4\u30a2\u30b0\u30e9\u30e0\u3068\u547c\u3070\u308c\u308b\u5e7e\u4f55\u5b66\u7684\u624b\u6cd5\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u554f\u984c\u306e\u53ef\u89e3\u6027\u30fb\u6c7a\u5b9a\u6027\u3084\u305d\u306e\u8a08\u7b97\u52b9\u7387\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\u3002\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u554f\u984c\u306e\u53ef\u89e3\u6027\u30fb\u6c7a\u5b9a\u6027\u306f\u30ed\u30b8\u30c3\u30af\uff08\u6570\u7406\u8ad6\u7406\u5b66\uff09\u306e\u7814\u7a76\u5206\u91ce\u3067\u3082\u3042\u308a\u3001\u4ee3\u6570\u5b66\u3001\u8ad6\u7406\u5b66\u3001\u30b0\u30e9\u30d5\u7406\u8ad6\u306a\u3069\u591a\u69d8\u306a\u624b\u6cd5\u3092\u99c6\u4f7f\u3059\u308b\u7814\u7a76\u3068\u306a\u308a\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1142\/S0218196797000277\">\u8ad6\u6587\uff15<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/PL00020980\">\u8ad6\u6587\uff16<\/a>\uff09<\/p>\n\n\n\n<p>\u9006\u534a\u7fa4\u3068\u4e9c\u7fa4\u306b\u3088\u308b\u5c40\u6240\u7684\u306a\u5bfe\u79f0\u6027\u3068\u504f\u4f5c\u7528\u306f\u6570\u5b66\u306b\u304a\u3044\u3066\u69d8\u3005\u306a\u5fdc\u7528\u304c\u3042\u308a\u307e\u3059\u304c\u3001\u7fa4\u306e\u4f5c\u7528\u3068\u6bd4\u3079\u308b\u3068\u306f\u308b\u304b\u306b\u96e3\u3057\u3044\u3082\u306e\u3067\u3059\u304c\u3001\u7814\u7a76\u5bfe\u8c61\u3068\u3057\u3066\u6700\u3082\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u7d50\u6676\u69cb\u9020\u306f\u7fa4\u306b\u3088\u3063\u3066\u898f\u5b9a\u3067\u304d\u307e\u3059\u304c\u3001\u30da\u30f3\u30ed\u30fc\u30ba\u30bf\u30a4\u30ea\u30f3\u30b0\u306e\u3088\u3046\u306a\u69cb\u9020\u306e\u89e3\u6790\u306b\u7fa4\u306f\u9069\u3057\u307e\u305b\u3093\u3002\u4ee3\u6570\u7cfb\u306b\u5e7e\u3064\u304b\u306e\u5fdc\u7528\u3092\u767a\u898b\u3057\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1142\/S0218196702000900\">\u8ad6\u6587\uff17<\/a>\uff09<\/p>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"748\" height=\"310\" data-id=\"254\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.28.25.png\" alt=\"van Kampen diagram\" class=\"wp-image-254\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.28.25.png 748w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.28.25-300x124.png 300w\" sizes=\"auto, (max-width: 748px) 100vw, 748px\" \/><figcaption class=\"wp-element-caption\">van Kampen \u30c0\u30a4\u30a2\u30b0\u30e9\u30e0<\/figcaption><\/figure>\n<\/figure>\n\n\n\n<div style=\"height:0px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u3068\u5f62\u5f0f\u8a00\u8a9e\u7406\u8ad6<\/h4>\n\n\n\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile\"><div class=\"wp-block-media-text__content\">\n<p>\u4ee3\u6570\u5b66\u3001\u96e2\u6563\u6570\u5b66\u3001\u30b0\u30e9\u30d5\u7406\u8ad6\u3068\u5f37\u3044\u95a2\u9023\u3092\u6301\u3064\u306e\u304c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u306e\u7814\u7a76\u3067\u3059\u3002\u30c1\u30e5\u30fc\u30ea\u30f3\u30b0\u30de\u30b7\u30f3\u3084\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u3068\u3044\u3063\u305f\u69cb\u9020\u306f\u8a08\u7b97\u6a5f\u306e\u7406\u8ad6\u7684\u30e2\u30c7\u30eb\u3068\u3057\u3066\u6d3b\u7528\u3055\u3048\u3066\u3044\u307e\u3059\u3002\u5f62\u5f0f\u8a00\u8a9e\u7406\u8ad6\u306f\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u306a\u3069\u306e\u6a5f\u68b0\u8a9e\u3092\u30e2\u30c7\u30eb\u5316\u3059\u308b\u3053\u3068\u306b\u5f79\u7acb\u3064\u7406\u8ad6\u3067\u3059\u3002\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u306f\u53d7\u7406\u3067\u304d\u308b\u8a00\u8a9e\u306e\u8c4a\u5bcc\u3055\u306b\u3088\u308a\u305d\u306e\u80fd\u529b\u304c\u6c7a\u307e\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6709\u9650\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u3084\u30d7\u30b7\u30e5\u30c0\u30a6\u30f3\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u306e\u8aad\u307f\u53d6\u308a\u30d8\u30c3\u30c9\u306e\u632f\u308b\u821e\u3044\u3092\u5909\u66f4\u3059\u308b\u3053\u3068\u3067\u8a00\u8a9e\u53d7\u7406\u80fd\u529b\u304c\u3069\u306e\u3088\u3046\u306b\u5f71\u97ff\u3092\u4e0e\u3048\u308b\u306e\u304b\u8208\u5473\u3092\u6301\u3063\u3066\u304a\u308a\u3001\u4e00\u65b9\u5411\u6027\u30b8\u30e3\u30f3\u30d4\u30f3\u30b0\u30aa\u30fc\u30c8\u30de\u30c8\u30f3\u306e\u6982\u5ff5\u3092\u63d0\u6848\u3057\u3066\u89e3\u6790\u3057\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1142\/S0129054116400165\">\u8ad6\u6587\uff18<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/s11047-021-09844-4\">\u8ad6\u6587\uff19<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1016\/j.tcs.2021.02.030\">\u8ad6\u6587\uff11\uff10<\/a>\uff09<\/p>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"445\" height=\"211\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.51.53.png\" alt=\"\" class=\"wp-image-262 size-full\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.51.53.png 445w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.51.53-300x142.png 300w\" sizes=\"auto, (max-width: 445px) 100vw, 445px\" \/><\/figure><\/div>\n\n\n\n<div style=\"height:53px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u96e2\u6563\u6570\u5b66<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"419\" height=\"184\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-13.17.22.png\" alt=\"\uff12\u6b21\u306e\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53 Latin hexahedron of order 2\" class=\"wp-image-243\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-13.17.22.png 419w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-13.17.22-300x132.png 300w\" sizes=\"auto, (max-width: 419px) 100vw, 419px\" \/><figcaption class=\"wp-element-caption\">\uff12\u6b21\u306e\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53<\/figcaption><\/figure>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-1024x768.jpg\" alt=\"Latin hexahedron\" class=\"wp-image-372\" style=\"width:173px;height:auto\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-1024x768.jpg 1024w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-300x225.jpg 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-768x576.jpg 768w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-1536x1152.jpg 1536w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/IMG_2120-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"187\" height=\"149\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.29.03.png\" alt=\"\" class=\"wp-image-939\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"237\" height=\"150\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.26.25.png\" alt=\"\" class=\"wp-image-936\"\/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>\u7d44\u5408\u305b\u69cb\u9020\u306e\u7814\u7a76\u3068\u3057\u3066\u3001\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53\u3068\u6b63\u52473\u90e8\u30b0\u30e9\u30d5\u3068\u95a2\u9023\u3059\u308b\u7d44\u5408\u308f\u305b\u30c7\u30b6\u30a4\u30f3\u306e\u95a2\u4fc2\u3092\u8abf\u3079\u3066\u3044\u307e\u3059\u3002\u6b63\u52473\u90e8\u30b0\u30e9\u30d5\u304c\u5b8c\u51681-\u56e0\u5b50\u5206\u89e3\u3092\u6301\u3064\u30b1\u30fc\u30b9\u3092\u89e3\u6790\u3057\u3066\u3044\u307e\u3059\u30022\u6b21\u306e\u30e9\u30c6\u30f3\u65b9\u9663\u306e\u7dcf\u6570\u3092\u8a08\u7b97\u6a5f\u5b9f\u9a13\u3067\u6c42\u3081\u308b\u7814\u7a76\u3082\u5b9f\u65bd\u3057\u3066\u3044\u307e\u3059\u3002\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53\u306f\u30e9\u30c6\u30f3\u65b9\u9663\u3092\u7acb\u65b9\u4f53\u306e\u8868\u9762\u306b\u62e1\u5f35\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u30e9\u30c6\u30f3\u7acb\u65b9\u4f53\u3092\u57fa\u306b\u6570\u72ec\u306e\u3088\u3046\u306a\u30d1\u30ba\u30eb\u3092\u4f5c\u308b\u4e8b\u3082\u3067\u304d\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1007\/978-3-031-25211-2_27\">\u8ad6\u6587\uff11\uff11<\/a>\uff09<\/p>\n\n\n\n<p>\u7acb\u65b9\u4f53\u4e0a\u306e\u7d44\u307f\u5408\u308f\u305b\u69cb\u9020\u3092\u8abf\u67fb\u3059\u308b\u7814\u7a76\u306f\uff18\u30af\u30a4\u30fc\u30f3\u554f\u984c\u3092\u7acb\u65b9\u4f53\u4e0a\u306b\u62e1\u5f35\u3059\u308b\u3053\u3068\u304b\u3089\u59cb\u307e\u308a\u307e\u3057\u305f\u3002\uff18\u30af\u30a4\u30fc\u30f3\u554f\u984c\u3068\u306f\u3001\u30c1\u30a7\u30b9\u306e\u76e4\u4e0a\u306b\u3001\uff18\u500b\u306e\u30af\u30a4\u30fc\u30f3\u3092\u3069\u306e\u30b3\u30de\u3082\u4e92\u3044\u306b\u5f53\u305f\u308a\u304c\u306a\u3044\u914d\u7f6e\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u3042\u308b\u3002n\u30af\u30a4\u30fc\u30f3\u554f\u984c\u3068n\u30eb\u30fc\u30af\u554f\u984c\u3092\u7acb\u65b9\u4f53\u4e0a\u3067\u8003\u5bdf\u3057\u307e\u3057\u305f\uff08<a href=\"http:\/\/id.nii.ac.jp\/1001\/00082598\/\">\u8ad6\u5206\uff11\uff12<\/a>\uff09\u3002\u7fa4\u8ad6\u306eCauchy-Frobenius\u306e\u5b9a\u7406\u3092\u5fdc\u7528\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f<a href=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/?page_id=338\">15\u30d1\u30ba\u30eb<\/a>\u306b\u304a\u3044\u3066\u7fa4\u306e\u4f5c\u7528\u304c\u89e3\u6c7a\u306e\u9375\u3068\u306a\u308a\u307e\u3059\u304c\u3001\u30d1\u30f3\u30b1\u30fc\u30ad\u30bd\u30fc\u30c8\u554f\u984c\u30922\u6b21\u5143\u306b\u62e1\u5f35\u3057\u305f\u969b\u306b\u306f\u7fa4\u3067\u306f\u306a\u304f\u4e9c\u7fa4\u306e\u504f\u4f5c\u7528\u306e\u6982\u5ff5\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u4e9c\u7fa4\u3068\u504f\u4f5c\u7528\u306e\u6982\u5ff5\u306e\u7406\u89e3\u3092\u76ee\u7684\u3068\u3057\u305f\u7814\u7a76\u3082\u5927\u304d\u306a\u30c6\u30fc\u30de\u306e\u4e00\u3064\u3067\u3059\u3002<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:1px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"724\" data-id=\"563\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-1024x724.jpg\" alt=\"\" class=\"wp-image-563\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-1024x724.jpg 1024w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-300x212.jpg 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-768x543.jpg 768w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-1536x1086.jpg 1536w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/05\/\u7acb\u65b9\u4f53\u6570\u72ec-2048x1448.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n\n\n\n<h4 class=\"wp-block-heading\">\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/h4>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-media-text has-media-on-the-right is-stacked-on-mobile\"><div class=\"wp-block-media-text__content\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u7fa4\u77e5\u80fd\u306e\u7814\u7a76\u3082\u884c\u3063\u3066\u3044\u307e\u3059\u3002\u30a2\u30ea\u3084\u30cf\u30c1\u306a\u3069\u306e\u81ea\u7136\u754c\u306e\u751f\u7269\u7fa4\u306e\u7fa4\u884c\u52d5\u3092\u6a21\u5023\u3057\u305f\u7fa4\u77e5\u80fd\u3092\u4f7f\u3046\u3053\u3068\u3067\u53b3\u5bc6\u306a\u89e3\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u96e3\u3057\u3044\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306e\u8fd1\u4f3c\u89e3\u3092\u52b9\u7387\u826f\u304f\u6c42\u3081\u308b\u7814\u7a76\u3067\u3059\u3002\u7fa4\u77e5\u80fd\u306f\u4eba\u5de5\u77e5\u80fd\u306e\u4e00\u3064\u306e\u5206\u91ce\u3068\u8a8d\u8b58\u3055\u308c\u3066\u3044\u3066\u3001\u69d8\u3005\u306a\u7d44\u5408\u305b\u6700\u9069\u5316\u554f\u984c\u306b\u5fdc\u7528\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u30cf\u30c1\u3084\u30db\u30bf\u30eb\u306e\u96c6\u56e3\u884c\u52d5\u3092\u6a21\u3057\u305f\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u65bd\u8a2d\u914d\u7f6e\u554f\u984c\u306b\u5fdc\u7528\u3057\u307e\u3057\u305f\u3002\uff08<a href=\"https:\/\/doi.org\/10.1007\/978-3-319-24315-3_13\">\u8ad6\u6587\uff11\uff13<\/a>\u3001<a href=\"https:\/\/doi.org\/10.3233\/JIFS-169263\">\u8ad6\u6587\uff11\uff14<\/a>\uff09<\/p>\n<\/div><\/div>\n\n\n\n<p>\u5c06\u68cb\u3084\u56f2\u7881\u306a\u3069\u306e\u30b2\u30fc\u30e0\u3067\u306fAI\u304c\u4eba\u306e\u80fd\u529b\u3092\u8d85\u3048\u3066\u5f37\u529b\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002\u5bfe\u6226\u30b2\u30fc\u30e0\u306e\u7406\u8ad6\u3067\u306f\u3001\u30e2\u30f3\u30c6\u30ab\u30eb\u30ed\u6728\u63a2\u7d22\u3068\u3044\u3046\u624b\u6cd5\u3092\u7528\u3044\u3066\u76e4\u4e0a\u30b2\u30fc\u30e0\u306b\u304a\u3051\u308b\u5bfe\u6226\u30d7\u30ec\u30a4\u30e4\u30fc\u3092\u30d7\u30ed\u30b0\u30e9\u30e0\u3059\u308b\u7814\u7a76\u3082\u884c\u3063\u3066\u3044\u307e\u3059\u3002Knight-Amazon \u3068\u3044\u3046\u76e4\u4e0a\u30b2\u30fc\u30e0\u3092\u63d0\u6848\u3057\u3001\u5fc5\u52dd\u6226\u7565\u304c\u5b58\u5728\u3059\u308b\u30b1\u30fc\u30b9\u3092\u89e3\u660e\u3057\u307e\u3057\u305f\u3002\uff08<a href=\"https:\/\/doi.org\/10.1016\/j.procs.2015.08.406\">\u8ad6\u6587\uff11\uff15<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/978-3-319-24315-3_14\">\u8ad6\u6587\uff11\uff16<\/a>\uff09<\/p>\n<\/div><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"377\" height=\"95\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.08.28.png\" alt=\"\" class=\"wp-image-246 size-full\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.08.28.png 377w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.08.28-300x76.png 300w\" sizes=\"auto, (max-width: 377px) 100vw, 377px\" \/><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"416\" height=\"211\" data-id=\"946\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.32.51-2.png\" alt=\"\" class=\"wp-image-946\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.32.51-2.png 416w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.32.51-2-300x152.png 300w\" sizes=\"auto, (max-width: 416px) 100vw, 416px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"388\" height=\"196\" data-id=\"945\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.31.41-1.png\" alt=\"\" class=\"wp-image-945\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.31.41-1.png 388w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2025\/09\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2025-09-28-16.31.41-1-300x152.png 300w\" sizes=\"auto, (max-width: 388px) 100vw, 388px\" \/><\/figure>\n<\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u60c5\u5831\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"988\" height=\"305\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.14.23.png\" alt=\"Homomorphic encryption \u6e96\u540c\u578b\u6697\u53f7\" class=\"wp-image-248\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.14.23.png 988w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.14.23-300x93.png 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/\u30b9\u30af\u30ea\u30fc\u30f3\u30b7\u30e7\u30c3\u30c8-2024-01-04-14.14.23-768x237.png 768w\" sizes=\"auto, (max-width: 988px) 100vw, 988px\" \/><figcaption class=\"wp-element-caption\">\u6e96\u540c\u578b\u6697\u53f7\u306e\u5b8c\u5168\u7cfb\u5217\u3092\u5229\u7528\u3057\u305f\u69cb\u6210\u65b9\u6cd5\n<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>\u6697\u53f7\u3001\u8a8d\u8a3c\u6280\u8853\u306e\u7814\u7a76\u3068\u3057\u3066\u3001\u516c\u958b\u9375\u6697\u53f7\u3084\u6697\u53f7\u30d7\u30ed\u30c8\u30b3\u30eb\u306e\u7814\u7a76\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002\u7279\u306b\u3001\u516c\u958b\u9375\u6697\u53f7\u306e\u57fa\u790e\u3068\u3059\u308b\u6574\u6570\u8ad6\u3001\u4ee3\u6570\u5b66\u3001\u96e2\u6563\u6570\u5b66\u306b\u95a2\u9023\u3059\u308b\u6570\u5b66\u69cb\u9020\u3068\u305d\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u554f\u984c\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\u6e96\u540c\u578b\u6697\u53f7\u306e\u4ee3\u6570\u5b66\u7684\u306a\u69cb\u9020\u3092\u89e3\u6790\u3057\u4ee3\u6570\u69cb\u9020\u3068\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u554f\u984c\u3068\u306e\u95a2\u9023\u306b\u8208\u5473\u3092\u6301\u3063\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1007\/978-3-540-77224-8_41\">\u8ad6\u6587\uff11\uff17<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/3-540-48970-3_26\">\u8ad6\u6587\uff11\uff18<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/BFb0054026\">\u8ad6\u6587\uff11\uff19<\/a>\uff09<\/p>\n\n\n\n<p>\u91cf\u5b50\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u306e\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u3078\u306e\u5f71\u97ff\u3084\u91cf\u5b50\u6697\u53f7\u306b\u3064\u3044\u3066\u3082\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"http:\/\/hdl.handle.net\/2433\/64334\">\u8ad6\u6587\uff12\uff10<\/a>\u3001<a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/3-540-47719-5_22\">\u8ad6\u6587\uff12\uff11<\/a>\uff09<\/p>\n\n\n\n<p>\u307e\u305f\u533f\u540d\u6027\u3092\u6709\u3059\u308b\u8a8d\u8a3c\u65b9\u6cd5\u3084\u79d8\u5bc6\u3092\u4fdd\u6301\u3057\u305f\u307e\u307e\u306e\u30c7\u30fc\u30bf\u30d9\u30fc\u30b9\u691c\u7d22\u306a\u3069\u306e\u6697\u53f7\u30d7\u30ed\u30c8\u30b3\u30eb\u306e\u5b89\u5168\u6027\u3084\u8a2d\u8a08\u624b\u6cd5\u3001\u5b89\u5168\u6027\u89e3\u6790\u306b\u3064\u3044\u3066\u3082\u8208\u5473\u304c\u3042\u308a\u3001\u6709\u9650\u7fa4\u306b\u95a2\u3059\u308b\u90e8\u5206\u7fa4\u30e1\u30f3\u30d0\u30fc\u30b7\u30c3\u30d7\u554f\u984c\u3092\u5229\u7528\u3057\u305f\u6697\u53f7\u30d7\u30ed\u30c8\u30b3\u30eb\u3084\u6e96\u540c\u578b\u6697\u53f7\u306e\u69cb\u6210\u3084\u5b89\u5168\u6027\u3092\u7814\u7a76\u3057\u3066\u3044\u307e\u3059\u3002\u5b89\u5168\u30fb\u5b89\u5fc3\u306a\u60c5\u5831\u901a\u4fe1\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u793e\u4f1a\u3092\u5b9f\u73fe\u3059\u308b\u306b\u306f\u516c\u958b\u9375\u6697\u53f7\u3084\u6697\u53f7\u30d7\u30ed\u30c8\u30b3\u30eb\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1007\/3-540-47719-5_18\">\u8ad6\u6587\uff12\uff12<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/978-3-540-73458-1_27\">\u8ad6\u6587\uff12\uff13<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/11596219_20\">\u8ad6\u6587\uff12\uff14<\/a>\u3001<a href=\"https:\/\/doi.org\/10.1007\/978-981-99-4430-9_12\">\u8ad6\u6587\uff12\uff15<\/a>\uff09<\/p>\n<\/div>\n<\/div>\n\n\n\n<div style=\"height:49px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u30d6\u30ed\u30c3\u30af\u30c1\u30a7\u30fc\u30f3<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-28f84493 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>\u975e\u4e2d\u592e\u96c6\u6a29\u5316\u3092\u76ee\u7684\u3068\u3059\u308b\u30d6\u30ed\u30c3\u30af\u30c1\u30a7\u30fc\u30f3\u306f\u4eee\u60f3\u901a\u8ca8\u306a\u3069\u306b\u3082\u5fdc\u7528\u3055\u308c\u3066\u304a\u308a\u3001\u6697\u53f7\u6280\u8853\uff08\u96fb\u5b50\u7f72\u540d\u3001\u30cf\u30c3\u30b7\u30e5\u95a2\u6570\u306a\u3069\uff09\u3092\u5229\u7528\u3057\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u304b\u3089\u306e\u7d4c\u6e08\u6d3b\u52d5\u306b\u304a\u3044\u3066\u91cd\u8981\u3068\u306a\u308b\u6280\u8853\u3067\u3059\u3002\u30d6\u30ed\u30c3\u30af\u30c1\u30a7\u30fc\u30f3\u3092\uff08CO2\u306a\u3069\u306e\u6e29\u5ba4\u52b9\u679c\u30ac\u30b9\u3092\u6392\u51fa\u3057\u306a\u3044\u518d\u751f\u53ef\u80fd\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u3088\u3063\u3066\u767a\u96fb\u3055\u308c\u305f\u3053\u3068\u3092\u4fdd\u8a3c\u3059\u308b\uff09\u518d\u751f\u53ef\u80fd\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u8a3c\u660e\u66f8\u306b\u6d3b\u7528\u3059\u308b\u7814\u7a76\u3092\u884c\u3063\u3066\u3044\u307e\u3059\u3002\uff08<a href=\"https:\/\/doi.org\/10.1007\/978-981-99-3243-6_79\">\u8ad6\u6587\uff12\uff15<\/a>\uff09<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"451\" src=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2-1024x451.png\" alt=\"Decentralized certificate of renewable energy\" class=\"wp-image-250\" srcset=\"http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2-1024x451.png 1024w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2-300x132.png 300w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2-768x339.png 768w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2-1536x677.png 1536w, http:\/\/www.math.akita-u.ac.jp\/yamamura\/wp-content\/uploads\/2024\/01\/newusecertificate2.png 1706w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">\u518d\u751f\u53ef\u80fd\u30a8\u30cd\u30eb\u30ae\u30fc\u8a3c\u660e\u66f8\u306e\u767a\u884c<\/figcaption><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u7814\u7a76\u5206\u91ce\u306f\u4ee3\u6570\u5b66\u3001\u7d44\u5408\u305b\u6570\u5b66\u3001\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30b5\u30a4\u30a8\u30f3\u30b9\u3001\u30ed\u30b8\u30c3\u30af\u3001\u60c5\u5831\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u3068\u306a\u308a\u3001\u6570\u5b66\u3068\u60c5\u5831\u5b66\u57fa\u790e\u306b\u5e83\u7bc4\u56f2\u306b\u308f\u305f\u308a\u307e\u3059\u3002 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[&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":32,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-191","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/pages\/191","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=191"}],"version-history":[{"count":96,"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/pages\/191\/revisions"}],"predecessor-version":[{"id":959,"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/pages\/191\/revisions\/959"}],"up":[{"embeddable":true,"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=\/wp\/v2\/pages\/32"}],"wp:attachment":[{"href":"http:\/\/www.math.akita-u.ac.jp\/yamamura\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=191"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}