{"id":2161,"date":"2025-03-17T00:00:00","date_gmt":"2025-03-17T00:00:00","guid":{"rendered":"urn:uuid:e06badd6-0986-466e-8086-9273d9e2cfc0"},"modified":"2025-03-17T00:00:00","modified_gmt":"2025-03-17T00:00:00","slug":"shi-jie-noyan-jiu-suo-univ-bonn-hausdorff-research-institute-for-mathematics","status":"publish","type":"post","link":"https:\/\/www.sekaiken.com\/?p=2161","title":{"rendered":"\u4e16\u754c\u306e\u7814\u7a76\u6240\uff1aUniv. Bonn, Hausdorff Research Institute for Mathematics"},"content":{"rendered":"<p>\u300c\u4eca\u65e5\u306e\u82f1\u8a9e\u300d\u306e\u30cd\u30bf\u63a2\u3057\u306e\u305f\u3081\u306b\u767b\u9332\u3057\u3066\u3044\u308b\u30cb\u30e5\u30fc\u30b9\u306e\u8907\u6570\u304b\u3089\u300c\u639b\u8c37\u306e\u91dd\u306e\u554f\u984c\u300d\u306b\u9032\u5c55\u304c\u3042\u3063\u305f\u3001\u3068\u3044\u3046\u901a\u77e5\u304c\u6765\u307e\u3057\u305f\u3002\u5143\u30cd\u30bf\u306f\u4e0b\u8a18\u3001\u5148\u9031\u306e\u7c73\u56fd\u7269\u7406\u5b66\u4f1a\u306e\u30cb\u30e5\u30fc\u30b9\u3067\u3057\u3087\u3046\u304b\u3002<br \/>\nhttps:\/\/phys.org\/news\/2025-03-mathematicians-needle-kakeya-conjecture-decades.html<br \/>\n\u308f\u304b\u308a\u3084\u3059\u3044\u89e3\u8aac\u304c\u4e0b\u8a18\u3067\u3059\u3002<\/p>\n<blockquote class=\"wp-embedded-content\" data-secret=\"lKySXCoGV8\"><p><a href=\"https:\/\/www.quantamagazine.org\/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711\/\">New Proof Threads the Needle on a Sticky Geometry Problem<\/a><\/p><\/blockquote>\n<p><iframe loading=\"lazy\" class=\"wp-embedded-content\" sandbox=\"allow-scripts\" security=\"restricted\" style=\"position: absolute; visibility: hidden;\" title=\"&#8220;New Proof Threads the Needle on a Sticky Geometry Problem&#8221; &#8212; Quanta Magazine\" src=\"https:\/\/www.quantamagazine.org\/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711\/embed\/#?secret=1UxuSWgT6N#?secret=lKySXCoGV8\" data-secret=\"lKySXCoGV8\" width=\"500\" height=\"282\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\"><\/iframe><br \/>\n\u639b\u8c37\u5b97\u4e00\u535a\u58eb\u306f\u6771\u5317\u5927\u2192\u6771\u5927\u6559\u6388\u2192\u7d71\u8a08\u6570\u7406\u7814\u7a76\u6240\u521d\u4ee3\u6240\u9577\u3067\u30011917\u5e74\u306b\u300c\u91dd\u306e\u554f\u984c\u300d\u3092\u63d0\u5531\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u7dda\u5206\u3092\u9023\u7d9a\u7684\u306b\u56de\u8ee2\u3055\u305b\u3089\u308c\u308b\u9818\u57df\u306e\u6700\u5c0f\u9762\u7a4d\u306f\uff1f\u3001\u3067\u7b54\u306f\u53e4\u5178\u7684\u306a\u5b9a\u7fa9\u3067\u306f\u4efb\u610f\u306b\u30bc\u30ed\u306b\u8fd1\u3044\u6b63\u306e\u5024\u306b\u306a\u308a\u307e\u3059\u304c\u3001\u30cf\u30a6\u30b9\u30c9\u30eb\u30d5\u6b21\u5143\u306f\u3069\u3046\u306a\u308b\u304b\u3001\u3068\u3044\u3046\u5225\u306e\u554f\u984c\u306b\u767a\u5c55\u3057\u3066\u540c\u3058\u540d\u524d\u3067\u547c\u3070\u308c\u3066\u3044\u307e\u3059\u3002<br \/>\n\u300c\u96ea\u96a0\u8a70\u3081\u300d\uff08\u6575\u96c6\u56e3\u306b\u8972\u6483\u3055\u308c\u3066\u30c8\u30a4\u30ec\u306b\u9003\u3052\u8fbc\u3093\u3060\uff09\u306b\u306a\u3063\u305f\u6b66\u58eb\u304c\u69cd\u3067\u9632\u6226\u3059\u308b\u5834\u5408\u306b\u69cd\u306e\u65b9\u5411\u3092\u9023\u7d9a\u7684\u306b\u5909\u3048\u3066\u7a81\u304d\u51fa\u3059\u3053\u3068\u3092\u30a4\u30e1\u30fc\u30b8\u3057\u305f\u554f\u984c\u3060\u305d\u3046\u3067\u3059\uff08\u6570\u5b66\u89e3\u8aac\u5bb6\u306e\u77e2\u91ce\u5065\u592a\u90ce\u6c0f\uff09\u3002<br \/>\n\u79c1\u306e\u6570\u5b66\u306e\u77e5\u8b58\u306f\u5b66\u90e83\u5e74\u751f\u3092\u304b\u3058\u3063\u305f\u304f\u3089\u3044\u306a\u306e\u3067\u3001\u7406\u89e3\u3067\u304d\u308b\u304b\u3069\u3046\u304b\u4e0d\u5b89\u3067\u3059\u304c\u3001\u8ad6\u6587\u3092\u8aad\u3093\u3067\u3001\u6e2c\u5ea6\u8ad6\u3092\u4e2d\u5fc3\u306b\u89e3\u8aac\u3092\u8a66\u307f\u3088\u3046\u3068\u601d\u3044\u307e\u3059\u3002<br \/>\n\u95a2\u9023\u3059\u308b\u7814\u7a76\u6240\u306f\u3001Univ. Bonn\u306e\u3000Hausdorff Research Institute for Mathematics \u304c\u3042\u308a\u307e\u3057\u305f\u3002Hausdorff \u535a\u58eb\u306fNazi\u306e\u72a0\u7272\u8005\u3067\u3059\u3002\u96c6\u5408\u8ad6\u306e\u6559\u79d1\u66f8(1914)\u306b\u6e2c\u5ea6\u8ad6\u306b\u95a2\u3059\u308b\u91cd\u8981\u306a\u8003\u5bdf\u3092\u8a18\u8ff0\u3057\u3066\u3044\u307e\u3059\u3002<br \/>\nhttps:\/\/www.mathematics.uni-bonn.de\/himhttps:\/\/www.mathematics.uni-bonn.de\/him<br \/>\nhttps:\/\/ja.wikipedia.org\/wiki\/%E3%83%95%E3%82%A7%E3%83%AA%E3%83%83%E3%82%AF%E3%82%B9%E3%83%BB%E3%83%8F%E3%82%A6%E3%82%B9%E3%83%89%E3%83%AB%E3%83%95<\/p>\n<p>\u82f1\u8a9e\u306f\u3000https:\/\/www.quantamagazine.org\/new-proof-threads-the-needle-on-a-sticky-geometry-problem-20230711\/<br \/>\nKakeya Conjecture \u639b\u8c37\u4e88\u60f3 \uff08\u6570\u5b66\u3067\u300c\u4e88\u60f3\u300d\u306fconjecture\u3067\u3059\uff09<br \/>\n\u201dIn 1919, just a couple of years after Kakeya posed his problem, the Russian mathematician Abram Besicovitch showed that if you arrange your needles in a very particular way, you can construct a thorny-looking set that has an arbitrarily small area. \u201d<br \/>\npose \u63d0\u51fa\u3059\u308b\u3001\u8a2d\u5b9a\u3059\u308b<br \/>\nthorny-looking \u3068\u3052\u3068\u3052\u306b\u898b\u3048\u308b<br \/>\n&ldquo;you can make your set as small as you want.&rdquo;<br \/>\ncounterintuitive \u76f4\u611f\u306b\u53cd\u3059\u308b\u3000counter + intuitive<br \/>\n&ldquo;But decades later, mathematicians started to work on another version of the problem in which they replaced area (or volume, in the higher-dimensional case) with a different notion of size.&rdquo;<br \/>\ndecades \u30c7\u30a3\u300c\u30b1\u300d\u30a4\u30ba\u3000\u4f55\u5341\u5e74\u3082\u3000decade \u306f10\u9032\u6570\u306e\u610f\u5473\u3082\u3042\u308a\u307e\u3059\u3002<br \/>\nnotion \u6982\u5ff5<br \/>\n&rdquo; Think of a musical note, which is made up of lots of overlapping frequencies. (That\u2019s why a middle C on a piano sounds different from a middle C on a violin.) The Fourier transform allows mathematicians to calculate the constituent frequencies of a particular note.&rdquo;<br \/>\na musical note \u97f3\u7b26<br \/>\nconstituent \u69cb\u6210\u3059\u308b<br \/>\n&ldquo;\u201cThe amazing thing about the Kakeya conjecture is that it\u2019s not just a fun problem; it\u2019s a real theoretical bottleneck,\u201d Hickman said. \u201cWe don\u2019t understand a lot of these phenomena in partial differential equations and Fourier analysis because we don\u2019t understand these Kakeya sets.\u201d&rdquo;<br \/>\nbottleneck \u30dc\u30c8\u30eb\u30cd\u30c3\u30af\u3001\u9698\u8def\uff08\u3042\u3044\u308d\uff09<br \/>\npartial differential equations \u504f\u5fae\u5206\u65b9\u7a0b\u5f0f<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u300c\u4eca\u65e5\u306e\u82f1\u8a9e\u300d\u306e\u30cd\u30bf\u63a2\u3057\u306e\u305f\u3081\u306b\u767b\u9332\u3057\u3066\u3044\u308b\u30cb\u30e5\u30fc\u30b9\u306e\u8907\u6570\u304b\u3089\u300c\u639b\u8c37\u306e\u91dd\u306e\u554f\u984c\u300d\u306b\u9032\u5c55\u304c\u3042\u3063\u305f\u3001\u3068\u3044\u3046\u901a\u77e5\u304c\u6765\u307e\u3057\u305f\u3002\u5143\u30cd\u30bf\u306f\u4e0b\u8a18\u3001\u5148\u9031\u306e\u7c73\u56fd\u7269\u7406\u5b66\u4f1a\u306e\u30cb\u30e5\u30fc\u30b9\u3067\u3057\u3087\u3046\u304b\u3002 https:\/\/phys.org\/news\/2025-03-mathematicians-needle-kakeya-conjecture-decades.html \u308f\u304b\u308a\u3084\u3059\u3044\u89e3\u8aac\u304c\u4e0b\u8a18\u3067\u3059\u3002 New Proof Threads the Needle on a Sticky Geometry Problem \u639b\u8c37\u5b97\u4e00\u535a\u58eb\u306f\u6771\u5317\u5927\u2192\u6771\u5927\u6559\u6388\u2192\u7d71\u8a08\u6570\u7406\u7814\u7a76\u6240\u521d\u4ee3\u6240\u9577\u3067\u30011917\u5e74\u306b\u300c\u91dd\u306e\u554f\u984c\u300d\u3092\u63d0\u5531\u3057\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u7dda\u5206\u3092\u9023&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[47],"tags":[10],"class_list":["post-2161","post","type-post","status-publish","format-standard","hentry","category-worldresearchinstitutes","tag-worldresearchinstitutes"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2161","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2161"}],"version-history":[{"count":0,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=\/wp\/v2\/posts\/2161\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sekaiken.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}