<p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">原地址?十個漂亮的數(shù)學(xué)定理賞析</p><blockquote style="margin-top: 1.5em;margin-bottom: 1.5em;margin-left: 1em;padding-top: 10px;padding-right: 10px;padding-bottom: 10px;border-width: 1px 1px 1px 5px;border-top-style: solid;border-right-style: solid;border-bottom-style: solid;border-color: rgb(230, 230, 230) rgb(230, 230, 230) rgb(230, 230, 230) rgb(64, 117, 155);box-sizing: border-box;color: rgb(85, 85, 85);"><p style="border-width: 0px;border-style: initial;border-color: initial;">Beauty is the first test: there is no permanent place in the world for ugly mathematics?<code style="margin-right: 5px;margin-left: 5px;padding-right: 5px;padding-left: 5px;font-family: "Source Code Pro", Monaco, Menlo, Consolas, monospace;color: rgb(77, 77, 76);background: rgb(238, 238, 238);font-size: 0.95em;word-break: break-all;">---</code>?G.H.Hardy</p></blockquote><blockquote style="margin-top: 1.5em;margin-bottom: 1.5em;margin-left: 1em;padding-top: 10px;padding-right: 10px;padding-bottom: 10px;border-width: 1px 1px 1px 5px;border-top-style: solid;border-right-style: solid;border-bottom-style: solid;border-color: rgb(230, 230, 230) rgb(230, 230, 230) rgb(230, 230, 230) rgb(64, 117, 155);box-sizing: border-box;color: rgb(85, 85, 85);"><p style="border-width: 0px;border-style: initial;border-color: initial;">科學(xué)家研究自然并不是因為它有用，而是因為他喜愛它，他喜愛它是因為它美。如果它不美，它就不值得被人知道，而如果自然不值得知道，人也就不值得活下去。當(dāng)然，我這里說的并不是那種激動感官的美——那種品質(zhì)上和外觀上的美；并不是我低估那種美，遠(yuǎn)遠(yuǎn)不是如此，但那種美跟科學(xué)不相干；我說的是各部分之間和諧有序的更深刻的美，是一個純潔的心靈所能掌握的美。?<code style="margin-right: 5px;margin-left: 5px;padding-right: 5px;padding-left: 5px;font-family: "Source Code Pro", Monaco, Menlo, Consolas, monospace;color: rgb(77, 77, 76);background: rgb(238, 238, 238);font-size: 0.95em;word-break: break-all;">---</code>?龐加萊</p></blockquote><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">數(shù)學(xué)家的智慧——胡和生文集</p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">1.歐拉公式</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6467722289890377" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDkC8ylM3NCnor3Fjq0Q4BjNZUzupQBGPicV68gWfzEFpFnDqLdGf1GOQ/640?wx_fmt=png" data-type="png" data-w="1642" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 454.865px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-70de05dcb9dc6455.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5865384615384616" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD30xBXiauRpB5tvGic3ibkHjXckRyc2vEhy5NmVFATH6kpZJc4UXwZbNEQ/640?wx_fmt=png" data-type="png" data-w="1664" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 414.087px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-eff462610a57294b.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5688836104513064" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDkIicDQmXDvcRegeicOia5COjmt7w6RwjY0XlvUvuRicz4W0ibDAceb3aZWw/640?wx_fmt=png" data-type="png" data-w="1684" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 402.134px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-1813cef0ae5a5b57.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">把指數(shù)函數(shù)和三角函數(shù)聯(lián)系起來</p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">2.多面體中的歐拉公式</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7711111111111111" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDjC3GtuczzTweuS2beobpSh7KqDPVCWR3XW8DAgJKKJg0eqiamBfukicQ/640?wx_fmt=png" data-type="png" data-w="1800" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 539.042px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-681f51e990f0bffd.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">柯西在20歲時給出的證明:</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.328512396694215" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDcdr8nYDjWgiaCDlgRpUwfs8o6AE5fiazuOfoPomNyBxfnnA44lMnuuAw/640?wx_fmt=png" data-type="png" data-w="968" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 916.403px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-573e16e6d9f36605.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.3389473684210527" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDMqtP26t25kgJbT0VUKQSYQ1dm3Xc8eHahXwMjj64TKN4BCf2fGPT2Q/640?wx_fmt=png" data-type="png" data-w="950" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 923.467px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-1e79c94cb9aca55c.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">3.素數(shù)有無窮多個</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.4832134292565947" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDI1bP5Ctl6WmZ4tdbK4gy82ux19Jw7gVGSblibicOhJwia5Bd4aWgl55NA/640?wx_fmt=png" data-type="png" data-w="1668" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 344.135px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-6caab4e2546e6e69.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.486284289276808" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDh6FeAl73Q2aIGPq4eUdtpQ1pkOklwtVNY6gibU6DiaOhiaQIYTmCVQvBQ/640?wx_fmt=png" data-type="png" data-w="1604" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 346.214px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-610b1a78e2222ac0.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">反證法:</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.3616504854368932" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDpjPOVDFqia2CfveShtyY9iaTSgAuFiaXN1EcgLVxmMRgnkP5bMmd6hWWA/640?wx_fmt=png" data-type="png" data-w="1648" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 261.837px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-0d3830f8b659e0c1.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">高斯 素數(shù)分布猜想:</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7839135654261705" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDVs1UC66FFxr5OictDTEicf4sshMz51crRgsBYKHmlOHwuKibhicGCicjDzw/640?wx_fmt=png" data-type="png" data-w="1666" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 547.709px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-2fb23400e4c54a65.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">素數(shù)定理:</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5841232227488151" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDZw9iciaXt5rbb69kdgdRqmBWGgUrniaezWDuDObNs3UWHNtPsUJzdRVbA/640?wx_fmt=png" data-type="png" data-w="1688" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 412.451px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-0a20470d1f0d21ee.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6189917936694022" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDicvqvQNS0mLUecSDzao83jObhDNVLvpIUibVRkurS1yYyO0tF6y3ticxQ/640?wx_fmt=png" data-type="png" data-w="1706" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 436.057px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-dc5d04d7b13701ae.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5435323383084577" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDBPcxics4UkGNeJghFRL190207iclicLWTicPhVhteqjaQzmADTs1SdOHgw/640?wx_fmt=png" data-type="png" data-w="1608" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 384.971px !important;" width="100%" width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-79f871a962213d6f.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><span style="font-weight: bold;">作為素數(shù)規(guī)律的孜孜以求者,看到感覺非常親切 ^^</span></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.8097686375321337" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDejBnIIc3n2Pibkb5UEH9x8UXubxcxkBqxwduR8bkarkF3GHlXSehv3A/640?wx_fmt=png" data-type="png" data-w="778" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 565.213px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-9e90a27977dfe5de.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.7372448979591837" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD3rk4M0HADg4xKDvxib8oLoQ5nQoGBhialW47Z9f68JFTWrysWDvz4Wlg/640?wx_fmt=png" data-type="png" data-w="784" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1193.11px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-a496916133acc57c.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7634961439588689" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDfbSC8otpnu7oFcmTyRdUbmOrwe9HvaD03s69ib0jmFxEcm8k55xBDBw/640?wx_fmt=png" data-type="png" data-w="778" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 533.887px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-cb9c8cccdd3bdd8e.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.8622448979591837" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDfuJGICNzYTZsNcQzH6oUBYssZsQYuJ4UicMEOU1MmEQb5wqDN3HfgcA/640?wx_fmt=png" data-type="png" data-w="784" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 600.74px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-b8e59d8290393a07.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5297157622739018" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD77qHWhrnRQO5wvp2OBDmL5b2dHvdE2JiaUd22Hw3ykGxjicEbNUkKBDw/640?wx_fmt=png" data-type="png" data-w="774" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 375.618px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-90880e295ca2976d.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.928388746803069" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDpD1K8vRnveVjz6RugmGs1a6MFHsE1mNgLxupXbicFxaYvaNb5JuXWGQ/640?wx_fmt=png" data-type="png" data-w="782" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 645.519px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-abb7afd215d689cc.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.45408163265306123" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDCEfZNGz7bfHB5rxYuKzbZyxLHAvXtKibghjqpHXABAVnLB0TLrtdyEQ/640?wx_fmt=png" data-type="png" data-w="784" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 324.413px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-e26402837c54e7eb.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7350649350649351" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDLBp9KaiayRHjiaDKLQX1ictlmvHh6FV4p3Atdvj4HEIWnX2iaA83FsiaHwA/640?wx_fmt=png" data-type="png" data-w="770" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 514.639px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-f87ede23896f9f28.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.7275" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDVfO92p4HZkz8OsjYW4ibuvut83Nyib01CKWNR4kiaEfoZuofVYnCa18dg/640?wx_fmt=png" data-type="png" data-w="800" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1186.52px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-c048c24a0ab3e61f.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.9381443298969072" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDQJia7kgouAFgicoRb8gt4ogYj4XibOpstDBQvicVoXMqrzSv3SicE1HHfrw/640?wx_fmt=png" data-type="png" data-w="776" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 652.124px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-d4c6a7dedae4f31a.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">4.在三維空間中存在5種正多面體</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">畢達(dá)哥拉斯學(xué)派很早就提出 至少有5種</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.4993924665856622" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDgDcKILWc2ygrfYwJmq5LfOvicXCdLV8WVFxmmbQWZ0CwN4SEwyIqnlA/640?wx_fmt=png" data-type="png" data-w="1646" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 355.089px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-072aa3a369c6cc83.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">利用?<code style="margin-right: 5px;margin-left: 5px;padding-right: 5px;padding-left: 5px;font-family: "Source Code Pro", Monaco, Menlo, Consolas, monospace;color: rgb(77, 77, 76);background: rgb(238, 238, 238);font-size: 0.95em;word-break: break-all;">2.多面體中的歐拉公式</code>,可證明正好有5種</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6357615894039735" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD7YrH2AwRymeXiahYgicVHz7XgqCrWHUup5O7ZlOicTxE0r3sDpDStqazQ/640?wx_fmt=png" data-type="png" data-w="1208" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 447.411px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-05f1964b6c078249.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7334905660377359" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD0Co5IwZhZPiat9mLQFKeEmGz6ySAX8P8Aj8nIYWI2P37PCkFtr1ia2Gw/640?wx_fmt=png" data-type="png" data-w="1696" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 513.573px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-b788d5892cfccdcc.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.586427656850192" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDPvygU1fPP5Ukje5fVlLsffLSUVvcNQEgp6DNGHTWdn1USSYJpsB1ng/640?wx_fmt=png" data-type="png" data-w="1562" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 414.012px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-68927233b7c1765e.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">5.n的平方分之一的級數(shù)=π2/6 (n為自然數(shù))</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6402966625463535" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDHAfsRJMJoKJFHJDKj551DJJfiaL5g4MIhORe8vOTN8ibWTRiaOGcfErSw/640?wx_fmt=png" data-type="png" data-w="1618" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 450.481px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-2b12f41217d4b853.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.4132334581772784" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDEpzFw63pb3u7LVOAzUWpx36B1vJ6EQx8YEFAjn7FRkImH7CCdmdniaw/640?wx_fmt=png" data-type="png" data-w="1602" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 296.759px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-f6d60c188e5f74ad.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">也可以用 傅里葉級數(shù)來證明</p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">6.不動點定理</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">布勞威爾不動點定理是拓?fù)鋵W(xué)里一個非常重要的不動點定理，它可應(yīng)用到有限維空間并構(gòu)成了一般不動點定理的基石。布勞威爾不動點定理得名于荷蘭數(shù)學(xué)家魯伊茲·布勞威爾（英語：L. E. J. Brouwer）。</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">布勞威爾不動點定理說明：對于一個拓?fù)淇臻g中滿足一定條件的連續(xù)函數(shù)f，存在一個點x0，使得f(x0) = x0。布勞威爾不動點定理最簡單的形式是對一個從某個圓盤D射到它自身的函數(shù)f。而更為廣義的定理則對于所有的從某個歐幾里得空間的凸緊子集射到它自身的函數(shù)都成立。</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.593094944512947" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDSumiawUXvNGvLZ9SWA2ibIzhEicNKFvGkd7ibIa4AGMGO13zqx520FFa6w/640?wx_fmt=png" data-type="png" data-w="1622" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 418.525px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-b6a4a5967d8d6b92.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6372670807453417" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD2U03t8XUKu3Msl7KdLcQFx4GYtbZOe76uSFfTvrAwmm96qccmQTCzg/640?wx_fmt=png" data-type="png" data-w="1610" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 448.43px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-ca414650b59592e4.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6029232643118149" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDDMxK0qaCERebQW9O19jApuXX4ibDHiccayQ6l7bYUl8QLDr2W3LJGeLQ/640?wx_fmt=png" data-type="png" data-w="1642" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 425.179px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-13aa3b199625bb83.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.41265822784810124" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDkqoKzdrfCiclOryrQDOib8q7HMMnSa5jziagkehAnkXBCI3wLiamhYM3fg/640?wx_fmt=png" data-type="png" data-w="790" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 296.37px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-7f47771117163808.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.4668367346938775" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDkn5yOicPVQ9wqGWtqNJy7zLcR6A2IQslhNakF1pqpPfd2Bg4vlnOhkg/640?wx_fmt=png" data-type="png" data-w="784" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1010.05px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-32e1a9e4a8d3db84.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5626598465473146" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDWOxcK0QovAET7uyGLd1OA67Y9pX2X6BRgwdE28VQ7Jm2qVy2VvC33g/640?wx_fmt=png" data-type="png" data-w="782" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 397.921px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-94de7fe770b9e844.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.1421319796954315" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDYF6rWAqI3AOROT2VKQUcezqHOI2bPFCwyuvutMUtibLvVtiaDyNiaaB1A/640?wx_fmt=png" data-type="png" data-w="788" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 790.223px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-95ae43359fdd72c1.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">7.根號2是無理數(shù)</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5011990407673861" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDZ2SJdsoSkfFPTohTB4GtTq1iaAvP57xYSWMraQ0ZO87WE69uriayOE5A/640?wx_fmt=png" data-type="png" data-w="1668" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 356.312px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-88ed1d9e4e082a34.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.670487106017192" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDdicbfhLJhaqibriaH7bbEJI4VlzTTX7Bx3n58ibCOP1qJuGSwvrz579Bgg/640?wx_fmt=png" data-type="png" data-w="698" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 470.92px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-574ba07aef7d2dda.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.9265536723163842" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDAMrWAosJ6bJWOt7mu5D2splqgjrV5o5kwibBnydHZOTYibp1cV5iaXqiaw/640?wx_fmt=png" data-type="png" data-w="708" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 644.277px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-d9a94e4c96f68cd7.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">8.π是超越數(shù)</h2><blockquote style="margin-top: 1.5em;margin-bottom: 1.5em;margin-left: 1em;padding-top: 10px;padding-right: 10px;padding-bottom: 10px;border-width: 1px 1px 1px 5px;border-top-style: solid;border-right-style: solid;border-bottom-style: solid;border-color: rgb(230, 230, 230) rgb(230, 230, 230) rgb(230, 230, 230) rgb(64, 117, 155);box-sizing: border-box;color: rgb(85, 85, 85);"><p style="border-width: 0px;border-style: initial;border-color: initial;">超越數(shù)，數(shù)學(xué)概念，指不是代數(shù)的數(shù)、無限不循環(huán)數(shù)。超越數(shù)的存在是由法國數(shù)學(xué)家劉維爾（Joseph Liouville，1809—1882）在1844年最早證明的。關(guān)于超越數(shù)的存在，劉維爾寫出了下面這樣一個無限小數(shù)：a=0.110001000000000000000001000…（a=1/10^1!+1/102!+1/10^3!+…），并且證明取這個a不可能滿足任何整系數(shù)代數(shù)方程，由此證明了它不是一個代數(shù)數(shù)，而是一個超越數(shù)。后來人們?yōu)榱思o(jì)念他首次證明了超越數(shù)，所以把數(shù)a稱為劉維爾數(shù)。</p></blockquote><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">transcendental number</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5022935779816514" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDgzqrwxlBQetfJCKo5MxZGwMy75DdoXcmPC5SDxlANzR2oxXLJTcXCw/640?wx_fmt=png" data-type="png" data-w="1744" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 357.053px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-8d6f344afcdbec27.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.8359580052493438" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDG4euicTwmYoAHju8cEPTFwwmuStHKmyl9bQIw1OrIcrKfQ9Bic6u9ibDw/640?wx_fmt=png" data-type="png" data-w="1524" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 582.944px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-070761963a5f041f.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.6644993498049414" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDZGghVbvoIrj7ljOKNY92ROyfZdMXhRQliaDQ8OCicGgpGOl8umNSJeEw/640?wx_fmt=png" data-type="png" data-w="769" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1143.87px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-2f906614410b052b.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">9.四色猜想</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.58913813459268" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDDibJdm9Mb0g9FGOAXTZNianic5e5ZjzltywFV2Uu8gRZKeAL2HNkym7gw/640?wx_fmt=png" data-type="png" data-w="1694" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 415.847px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-6b49e42926953e72.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.34761321909424725" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDnohZ4xCdVPA6iagC1LxDVzhCYvnzH727zZwbIy673WqwHkVICxfmj2A/640?wx_fmt=png" data-type="png" data-w="1634" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 252.334px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-cad35c39bb2fd622.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.3620178041543027" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerD4LCpT0rhJ3F2naTq1m2vDIlLOJPPQPT1Jw2jKtibiaQs0iaicJMgeuSlbQ/640?wx_fmt=png" data-type="png" data-w="674" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 262.086px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-1d522d46887c8193.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;">這種說法正確嗎?</p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.7002801120448179" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDPwfEZYsJ6AtfibMKPFP0HSFtKRvKcH0VGiac8Qaxt5yMOZBZ1kONaO0Q/640?wx_fmt=png" data-type="png" data-w="714" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 491.09px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-57d1cdccc81637a6.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.244956772334294" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDjRpH1FWK1eWJKmGxby1sia9suibFWr5Nw7tcU5IBwvCwyQQL3zvcbPDw/640?wx_fmt=png" data-type="png" data-w="694" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 859.836px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-3ecbe8572fbfb9b3.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.6747967479674797" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDh1A6LYapzrBBz4NEU9rr7RLbwR4e3waW2S4xADV7JuvwKJqjRkFybw/640?wx_fmt=png" data-type="png" data-w="738" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 473.837px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-e55ac2bfb4069c57.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.7650429799426934" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDKaBaWUzh3DkmKI5WuTwpqniargUMMNrwsBky7mmyWRLyv7kJBgAVQuw/640?wx_fmt=png" data-type="png" data-w="698" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1211.93px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-af41c0607d330778.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><h2 style="border-width: 0px;border-style: initial;border-color: initial;font-weight: bold;overflow: hidden;font-size: 18px;">10.費馬大定理</h2><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="0.5816448152562574" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDYolBPm4hzKkY1gB0dnN5KEYf3NjMkKYnmHNiaLDYicYjn8GVdbzWrUjA/640?wx_fmt=png" data-type="png" data-w="1678" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 410.774px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-0f862ad2c443c80b.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.4761904761904763" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDYtaCsKBjlu6tiaibjaQvqWUvubDSlncdTLQsO0tsEZIjEgYjwZEmGmtw/640?wx_fmt=png" data-type="png" data-w="714" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1016.38px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-0e38f638c3b67b31.png" crossorigin="anonymous" alt="圖片"></p><p style="margin-bottom: 1.234em;border-width: 0px;border-style: initial;border-color: initial;"><img data-ratio="1.8765822784810127" data-src="https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDVg45iaeQfFLicypDgjxlRLiccKeoK05xiamibibcIwY3yWHiagnD5DGCzGGHw/640?wx_fmt=png" data-type="png" data-w="632" height="50%" style="margin: auto; padding-top: 0.5em; padding-bottom: 0.5em; border-width: initial; border-style: none; border-color: initial; display: block; width: 677px !important; height: 1287.45px !important;" width="100%" _width="100%" class="img_loading" src="https://upload-images.jianshu.io/upload_images/2364435-d8db8fd539da8447.png" crossorigin="anonymous" alt="圖片"></p><hr style=" margin: 2.4em auto;border-right: none;border-bottom: none;border-left: none;border-top-style: solid;border-top-color: rgb(216, 226, 235); "><p>< style="color: rgb(64, 117, 155);transition: background 0s ease 0s;display: inline-block;width: 82px;height: 82px;margin-left: auto;margin-right: auto;background-image: url("https://mmbiz.qpic.cn/sz_mmbiz_png/Q1ZRKiavkSiaASr5hs8lHibeJd9BKeAQerDru1beicWxsTOHCyMMUufetsZTou5WbQxaQ8WvfsKBosPfO7y9ovhiagg/640?wx_fmt=gif");background-position: initial;background-size: initial;background-repeat: no-repeat;background-attachment: initial;background-origin: initial;background-clip: initial;" title="打賞"></p>