tag:blogger.com,1999:blog-35502048292343523902024-03-19T16:59:45.494+08:00研發養成所 ( Bridan's Blog - 4rdp, For R&D Person )Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.comBlogger1333125tag:blogger.com,1999:blog-3550204829234352390.post-63369509138371184042024-03-17T08:00:00.001+08:002024-03-17T08:00:00.174+08:00餐盤翻轉<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7K4EmX4IrAOH1ME8oeqo5Yd34GQ-eyZ4wScmxYVlmkWUX5dZX1BR9iDMhZrQZSirQ39ernNHgXd1KuH9AMyOEzsTjLhF4CM0cxmxxCjQCRj5EKb3AF8innx5fLp-iLK5BKrvFMlZKYnPQSMGz9wF4cL92ENDArIutdJWaYhXEWVQo-5Ac_BECix1_l___/s1350/427856557_350974431238135_421958434812193384_n.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1350" data-original-width="1080" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7K4EmX4IrAOH1ME8oeqo5Yd34GQ-eyZ4wScmxYVlmkWUX5dZX1BR9iDMhZrQZSirQ39ernNHgXd1KuH9AMyOEzsTjLhF4CM0cxmxxCjQCRj5EKb3AF8innx5fLp-iLK5BKrvFMlZKYnPQSMGz9wF4cL92ENDArIutdJWaYhXEWVQo-5Ac_BECix1_l___/w512-h640/427856557_350974431238135_421958434812193384_n.jpg" width="512" /></a></div><div style="text-align: center;"><a href="https://www.facebook.com/groups/360497191833997/posts/1119011505982558/" target="_blank">圖片來自 FB</a></div><p></p><p>當你把頭左斜 45<span style="font-family: Arial, sans-serif; font-size: 12pt; white-space-collapse: preserve;">° 應該會看到所有餐盤都是覆蓋的,可是把頭右斜</span> 45<span style="font-family: Arial, sans-serif; font-size: 12pt; white-space-collapse: preserve;">° 則會看到所有餐盤都瞬間翻面變成正面!</span></p><p><span style="font-family: Arial, sans-serif; font-size: 12pt; white-space-collapse: preserve;"><span><span></span></span></span></p><a name='more'></a>
<p></p><p>記得大學上心理學課程,記得有一堂課談到我們的認知會受到感官影響,上圖就屬於這個領域的圖,眼睛會欺騙大腦,這張圖網路上看到就順便收錄。</p> <p></p>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-3273236197843218312024-03-13T08:00:00.000+08:002024-03-13T08:00:00.139+08:00GeoGebra<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinvj_k7lwe3HuioutSll-ey7Gg486FT1Tv4gnmnf0kU-Sdf7EjLEmeJMIOfP07PubMEsqftopeJ7ZWfgotMvZbmh0JiT9P4A3t4kaBFYE1W4F0lCmW1DBvel0tBpUGBNi3w3zL0SXK5bb3c9MsEc64xeY1w_G8zBGu7byn3kPhzWO6x6RFaka27Z8KbwyS/s1171/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-16%20112819.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="543" data-original-width="1171" height="296" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinvj_k7lwe3HuioutSll-ey7Gg486FT1Tv4gnmnf0kU-Sdf7EjLEmeJMIOfP07PubMEsqftopeJ7ZWfgotMvZbmh0JiT9P4A3t4kaBFYE1W4F0lCmW1DBvel0tBpUGBNi3w3zL0SXK5bb3c9MsEc64xeY1w_G8zBGu7byn3kPhzWO6x6RFaka27Z8KbwyS/w640-h296/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-16%20112819.jpg" width="640" /></a></div><div><br /></div>這一篇主要紀錄,個人常用的數學工具,因為不需要安裝軟體即可使用,非常方便。<br /><span><a name='more'></a></span><div><br /></div><div>我最常用的是幾何繪圖,有些訓練數學感系列題目需要畫圖表示,因此它的功能對我很重要。</div><div>前一陣子吵統計誤差,讓我注意到 GeoGebra 也有提供統計計算相關功能。</div><div><br /></div><a href="https://www.geogebra.org/calculator">https://www.geogebra.org/calculator</a>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-31179892829124689532024-03-09T08:00:00.001+08:002024-03-09T08:00:00.145+08:00訓練數學感 368 ─ 藍色面積和<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDAQRkAfvH-6t2r3tZDe_vJMTYHQcDo0Z9vfTN-3QfqKKYFRpYYFfbCQFbSLjIu4Gs-wWNwz1WB-yDSLgC5feuzUX_1SpHUo3HC8rFBmByUYAWCqLnXyFNISje3Co7laTudrGLiVge3nHdz2AsQ4NVz5Tfd3MmtqSxAxFNRXnRXgslb5L6qv8JgpKh1gZs/s801/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20221801.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="538" data-original-width="801" height="215" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDAQRkAfvH-6t2r3tZDe_vJMTYHQcDo0Z9vfTN-3QfqKKYFRpYYFfbCQFbSLjIu4Gs-wWNwz1WB-yDSLgC5feuzUX_1SpHUo3HC8rFBmByUYAWCqLnXyFNISje3Co7laTudrGLiVge3nHdz2AsQ4NVz5Tfd3MmtqSxAxFNRXnRXgslb5L6qv8JgpKh1gZs/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20221801.jpg" width="320" /></a></div>左圖顯示一個梯形,EF <span id="docs-internal-guid-72cd4c76-7fff-da1f-33cf-7cbf5e4b10dc"><span style="font-family: Arial, sans-serif; font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">⊥ CD,</span></span>AB = 110,EF = 20,請求 <span id="docs-internal-guid-cc41aba9-7fff-e34b-2284-958b29a8850e"><span style="font-family: Arial, sans-serif; font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">∆ ACE + </span></span><span id="docs-internal-guid-cc41aba9-7fff-e34b-2284-958b29a8850e"><span style="font-family: Arial, sans-serif; font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">∆ BDE 面積和。</span></span><div><span><span style="font-family: Arial, sans-serif; font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><br /></span></span></div><div><span><span style="font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><span style="font-family: Arial, sans-serif;">難度 ✩✩</span></span></span></div><div><span><span style="font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><span><a name='more'></a></span><span style="font-family: Arial, sans-serif;"><br /></span></span></span></div><div><span><span style="font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><span style="font-family: Arial, sans-serif;">這題小學生高年級或許也解得出來。</span></span></span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-36462739455872565642024-03-05T08:00:00.000+08:002024-03-05T08:00:00.239+08:00電路板上的“盜銅”<p> </p><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/-uHa_R0O1nI" width="320" youtube-src-id="-uHa_R0O1nI"></iframe></div><br /><p></p><p>這部影片介紹了電路板上線路設計,盜銅對高頻高速信號有所影響,記錄這部影片以便日後參考。</p><span><a name='more'></a></span><p><br /></p><p>已經沒當電子工程師很久了,雖然現在不需要自己親自畫電路圖,不過那天要自己動手很難講,留下記錄曾經做過這件事。另外,銅回收很值錢,注意一下幫自己賺小錢。</p>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-70949629774472903002024-03-01T08:00:00.000+08:002024-03-01T08:00:00.144+08:00SCPI<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEEFEZlGk4iLDgkZuH5AikiDc4QJ4fGyHX-hwruMkImrAlTxLVCrysX7oN6KHdBuog7E2DEdo9ivuzzDXAFOkjBZWnxOuth7Xfij3RFolfMPBWTyk5UKZj0XFHktB-Xoe_D2zmzvawn62pxGag4U2tg-BF2Z94q-IH10LzHTTe0q31kCqyLbpGdb4XO-6E/s1024/_f0356b5e-ce79-4874-af7a-a5e9d0bd84c1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1024" data-original-width="1024" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEEFEZlGk4iLDgkZuH5AikiDc4QJ4fGyHX-hwruMkImrAlTxLVCrysX7oN6KHdBuog7E2DEdo9ivuzzDXAFOkjBZWnxOuth7Xfij3RFolfMPBWTyk5UKZj0XFHktB-Xoe_D2zmzvawn62pxGag4U2tg-BF2Z94q-IH10LzHTTe0q31kCqyLbpGdb4XO-6E/s320/_f0356b5e-ce79-4874-af7a-a5e9d0bd84c1.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">控制器連接電子儀器 (Bing Image Creator)</div><div class="separator" style="clear: both; text-align: center;"><br /></div>SCPI (Standard Commands for Programmable Instruments) 在我職涯踏入儀器界就不曾使用間斷過,因為它是儀器控制的靈魂語言,你可以恣意輸入符合語法的儀器控制指令,沒有太多語法限制,使得儀器控制變得容易許多。舉個例子,控制數位電表測量直流電壓,指令說明書可能標示指令為<div><div><span style="color: red;">CONFigure[:VOLTage][:DC]</span> [<range>|AUTO|MAX|MIN|DEF<span style="color: #2b00fe;">[,{<resolution>|MAX|MIN|DEF}]</span>]</div></div><div><br /></div><div>初次看到指令描述感覺很複雜,其實沒有那麼困難,<span style="color: red;">紅字部分為指令</span>,黑色<span style="color: #2b00fe;">藍色</span>部分為<span style="color: #2b00fe;">指令參數</span>,[ ] 括號內為可略內容,< > 為一組數字,| 分隔多個可用參數選其中一個,大寫字母為縮寫指令,大小寫字母為全寫指令。如果你想設定測量直流電壓 1 V,以下指令皆為等效:</div><div><br /></div><div>CONF 1</div><div>CONFIGURE 1V</div><div>conf:VOLT</div><div>conf:dc 1.0</div><div>CONF:voltage:DC 1e0, 0.0001 volt</div><div>CONF AUTO, default</div><div><br /></div><div><span><a name='more'></a></span>這對儀器使用者何等方便啊!只要對儀器有初淺概念,指令型式沒有嚴格規範,程式設計師依自己喜好傳送控制指令,只要語法沒有錯誤,機器都會收下執行,不過對儀器的開發者,這是一個艱巨的任務,SCPI parser 要能解譯各種指令格式,這涉及程式資料結構設計,我有好幾年獨立開發 SCPI parser ,因此它深遠影響我設計 ROSA 時的想法,<a href="http://4rdp.blogspot.com/2018/03/rosa-51-usb-bt.html?m=0" target="_blank">2018 年當時寫程式控制機器人跳舞</a>,需要一個動作一行程式碼編輯,因此我融合了SCPI 的特色,把編輯的程式碼當成可以通訊輸入的指令,這樣你可以先下指令喬出機器人的動作之後,再該行指令就可以收錄為程式碼,大大縮短編舞所需的時間。</div><div id="gtx-trans" style="left: 176px; position: absolute; top: 831.2px;"><div class="gtx-trans-icon"></div></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-48511169788143432412024-02-26T08:00:00.094+08:002024-02-26T08:54:26.363+08:00訓練數學感 367 ─ 訊息傳遞<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2rPhrLu_8YVYsz2juC33Y25jmZdNLI1ygKzBVD15ua-M-KYLT3GAvSww_XHZ07APy5s2tH6zD5EDDqiIfTp7xmQ2l79mGkcxugngKoDhZRbUXHkdRQXlx6B5LpX0Za0zHmsM19PZ8g2cLDQMh5ueLr-YQxE9WsUohsq7Xg_Rwrxrbor9J9tOKGf44Azq_/s727/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20234651.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="717" data-original-width="727" height="316" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2rPhrLu_8YVYsz2juC33Y25jmZdNLI1ygKzBVD15ua-M-KYLT3GAvSww_XHZ07APy5s2tH6zD5EDDqiIfTp7xmQ2l79mGkcxugngKoDhZRbUXHkdRQXlx6B5LpX0Za0zHmsM19PZ8g2cLDQMh5ueLr-YQxE9WsUohsq7Xg_Rwrxrbor9J9tOKGf44Azq_/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20234651.jpg" width="320" /></a></div><div style="text-align: center;">訊息傳遞的人際網絡 (Bing Image Creator)</div><br />一群 1990 人,他們每個人至少認識另一個其他人,他們之間沒有任何孤立的小群體,一個新訊息傳給他們之後,隔天他們才會再傳遞給認識的人,首日要傳訊息給指定的人讓他們把消息傳出去,經過 10 天後,全部的人都知道該訊息,請問首日最少要告訴多少指定的人知道消息?<div><br /></div><div>難度 <span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px; white-space-collapse: preserve;">✩</span></div><div><span><a name='more'></a></span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px; white-space-collapse: preserve;"><br /></span></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px; white-space-collapse: preserve;">Andy 在寒假期間寫一些程式考題,這是他分享給我的一道題目,先思考出極端的人際關係狀況,就自然可以想通這個問題。</span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-35219528824445780092024-02-22T08:00:00.001+08:002024-02-22T08:00:00.243+08:001+2+3+ ..... = -1/8<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLURpFJKgGSvREgV2QieSF753wFzF_ni4WhsMy_aNttF_VxZOWfP8BN-w-49CjCHF4SJtFh_s9US0sA3p99X3k5jB7xVmUXI6x7b2JAMOiCPH2Ok6bp9l9VaovCUL3YJqs1pmrIXjddKgD80nL-NL5sJWtYxmzhNqPkLmrMvpdam7YOH8yL5vv-IKOvPwD/s1158/420805518_3821281604772998_1449098960906344060_n.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1158" data-original-width="1080" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgLURpFJKgGSvREgV2QieSF753wFzF_ni4WhsMy_aNttF_VxZOWfP8BN-w-49CjCHF4SJtFh_s9US0sA3p99X3k5jB7xVmUXI6x7b2JAMOiCPH2Ok6bp9l9VaovCUL3YJqs1pmrIXjddKgD80nL-NL5sJWtYxmzhNqPkLmrMvpdam7YOH8yL5vv-IKOvPwD/w596-h640/420805518_3821281604772998_1449098960906344060_n.jpg" width="596" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">現在看到這種無窮級數和會令人錯亂,先收錄下來,以後再看到不一樣的答案也不覺得奇怪。</div><div class="separator" style="clear: both; text-align: left;"><span><a name='more'></a></span></div><br /><div>延伸閱讀</div><div><a href="https://4rdp.blogspot.com/2018/09/123-n-112.html?m=0" target="_blank">1+2+3+ ..... = -1/12</a></div><div><a href="https://4rdp.blogspot.com/2019/08/fibonacci-112358-1.html?m=0" target="_blank">費氏數列級數和 (Fibonacci) 1+1+2+3+5+8+.... = -1</a></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-44414088747223761222024-02-18T08:00:00.000+08:002024-02-18T08:00:00.130+08:00AI 生成軟體<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmAsLGqgzZwF42-NO4Nrq2O6dV4abkCwSgaVb73YDOuCYx3eFfO1uHtj1TudhAHZGjjy9M2eAj7fJKL-H3Frsg_ofSHj3vCJb07alMxDyrBlas_4zfevJ-p2jx6xnI54IXu1RoHGckrDuHPjyFJvfwySHKJegOBjlqihw5xypo0NjlHHGc3Vr3morxrS_G/s1366/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-10%20181429.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="688" data-original-width="1366" height="322" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjmAsLGqgzZwF42-NO4Nrq2O6dV4abkCwSgaVb73YDOuCYx3eFfO1uHtj1TudhAHZGjjy9M2eAj7fJKL-H3Frsg_ofSHj3vCJb07alMxDyrBlas_4zfevJ-p2jx6xnI54IXu1RoHGckrDuHPjyFJvfwySHKJegOBjlqihw5xypo0NjlHHGc3Vr3morxrS_G/w640-h322/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-10%20181429.jpg" width="640" /></a></div><br />近日在 FB 上看到網友 <a href="https://www.facebook.com/ntuVKXuan/" target="_blank">VK Xuan</a> 推薦一些 AI 生成軟體,因此我製作這篇文章記錄這些網址,以便日後需要時可以找到。<div><br /></div><div>1. <a href="https://app.runwayml.com/" target="_blank">Runway</a> ─ 影片生成,可用文字、上傳照片生成</div><div><br /></div><div>2. <a href="https://app.mokker.ai/" target="_blank">Mokker</a> ─ 生成產品照片,一鍵去背,40 張免費照片</div><div><br /></div><div>3. <a href="https://firefly.adobe.com/" target="_blank">Adobe的Firefly</a> ─ 文字生成,填色,文字效果</div><span><a name='more'></a></span><div><br /></div><div>VK Xuan 是很厲害的網友,專業跨多領域包含電腦程式設計、音樂創作、資訊管理、台大法學,FB 有上萬人追蹤。</div><div><br /></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-45226059279381581312024-02-14T08:00:00.008+08:002024-02-14T08:00:00.150+08:00訓練數學感 366 ─ 夾角是多少?<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDk2GKt_CHy3pSC8vneNrhxDVOD6uzNyJ9pdYcDTemcHZ_kjFD1NIkjsZfqoiCO1Tc-EorCUCgYEd_7Ks9n9NIcctUmzfwsVbKwXyFAbC2r0JqlbybHB6mD0ITs0jZsNwEQtEuMzCn5IoQKYrZRxPLvq2h0CX3ceOlmGzXMcra6aO-tohd_QJptzLYWQa-/s808/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-27%20115840.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="662" data-original-width="808" height="328" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDk2GKt_CHy3pSC8vneNrhxDVOD6uzNyJ9pdYcDTemcHZ_kjFD1NIkjsZfqoiCO1Tc-EorCUCgYEd_7Ks9n9NIcctUmzfwsVbKwXyFAbC2r0JqlbybHB6mD0ITs0jZsNwEQtEuMzCn5IoQKYrZRxPLvq2h0CX3ceOlmGzXMcra6aO-tohd_QJptzLYWQa-/w400-h328/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-27%20115840.jpg" width="400" /></a></div><br />如上圖,兩個等大的正方形共用 A 點,請問兩條紅線相交所形成的 <span id="docs-internal-guid-cf3bc1b7-7fff-1cbe-a9ab-6a6d4a771abb"><span style="font-family: Arial, sans-serif; font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">∠</span></span>DGE 是多少?<div><br /></div><div>難度 <span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">✩</span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">✩</span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;"><span><br /><a name='more'></a></span><span><br /></span></span></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;"><span>年後開工第一題,應該不會太難。</span></span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-12805167412401788562024-02-10T08:00:00.272+08:002024-02-10T08:00:00.138+08:00Python 程式練習 6 ─ 螞蟻碰撞幾次<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbolU0DmvObAzqrui0Yt7_xnkFH0TtA4HmfJIieNZruiBDpU4tZtq5lr6b0PxmeenAegMol0JOcYchJWI_ynImE0cIaKyJBB1XJeMkiaWxyYi62RIbR_RcavSZmsjs7ftOqj2D_b7gK7TFaLiybnoBGJsdzo5hWPz_iMB_kaE_ZHI0YYda9RjdqOG_r1fl/s768/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-09%20105121.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="746" data-original-width="768" height="311" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbolU0DmvObAzqrui0Yt7_xnkFH0TtA4HmfJIieNZruiBDpU4tZtq5lr6b0PxmeenAegMol0JOcYchJWI_ynImE0cIaKyJBB1XJeMkiaWxyYi62RIbR_RcavSZmsjs7ftOqj2D_b7gK7TFaLiybnoBGJsdzo5hWPz_iMB_kaE_ZHI0YYda9RjdqOG_r1fl/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-09%20105121.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">螞蟻在格子內碰撞 (<span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">Bing Image Creator</span>)</div><br /><p></p><div>今天剛好是 2024 龍年正月初一,祝大家龍發財!</div><div><span style="font-family: arial;"><br /></span></div><div><span style="font-family: arial;">在一個有限循環的平面間有數隻螞蟻任意自由活動,這個平面劃分 N x N 個方格,初始有 m 隻螞蟻任意散落在不同的格子內,每隻螞蟻每隔一秒鐘可以上下左右隨意移動一個格子,當移過邊界會循環到另一邊,例如 10 x 10 格子,某隻螞蟻在 (0, 0) 座標往左移一格就是 (9, 0),然後往下一格就到 (9, 9)。</span></div><div><br /></div><div>因為每隻螞蟻會任意方向行動,所以某一秒鐘可能有兩隻或更多隻螞蟻停留在某一格座標中,稱為碰撞,一格有兩隻在一起為碰撞一次,三隻為碰撞三次,四隻在一起為碰撞六次,以此類推。</div><div><br /></div><div><span style="font-family: arial;">請設計一個程式,輸入平面 N 大小,螞蟻數量 m,給定時間 T 秒後,然後計算螞蟻們總共碰撞了多少次?N 的最大值為 10<span style="background-color: white; font-size: 12pt; white-space-collapse: preserve;">⁹,m 最大值為 2x10</span><span style="background-color: white; font-size: 12pt; white-space-collapse: preserve;">⁵</span><span style="background-color: white; font-size: 12pt; white-space-collapse: preserve;">。</span></span></div><span><a name='more'></a></span><div><br /></div><div>這個程式設計題目是 Andy 分享給我的,考驗演算法設計,占用記憶體要少,計算效率要高,不限定用 Python 來設計。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-74211532996078321602024-02-06T08:00:00.038+08:002024-02-09T00:00:06.455+08:00帕德近似<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTzFbUX612KEFXnyjCg7amVfH3S-69K0cxJB8WVQ9HKKwm_Czqd9lTNesLUfagaEbLU_Fg4rXr8VBFaD0_1d1hC4vb5jyBz2QcF9R0NKPqKTQnKKlbcimDPAPqxCh68QI1U9fFqTyYFMxyqn9swm5ShnkqiSObqXJ4590NRE2vlDIk3crLpFaXHw9hX8FH/s711/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20235723.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="652" data-original-width="711" height="293" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTzFbUX612KEFXnyjCg7amVfH3S-69K0cxJB8WVQ9HKKwm_Czqd9lTNesLUfagaEbLU_Fg4rXr8VBFaD0_1d1hC4vb5jyBz2QcF9R0NKPqKTQnKKlbcimDPAPqxCh68QI1U9fFqTyYFMxyqn9swm5ShnkqiSObqXJ4590NRE2vlDIk3crLpFaXHw9hX8FH/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-02-08%20235723.jpg" width="320" /></a></div><div style="text-align: center;"><br /></div><div style="text-align: center;">抽象風格的數值近似 (Bing Image Creator)</div><div><br /></div><div>數學上許多連續及可微分的函數都可以變換成<a href="https://zh.wikipedia.org/wiki/%E6%B3%B0%E5%8B%92%E7%BA%A7%E6%95%B0" target="_blank">泰勒級數</a>或是馬克勞林級數來表示,<a href="https://zh.wikipedia.org/wiki/%E5%B8%95%E5%BE%B7%E8%BF%91%E4%BC%BC" target="_blank">帕德近似 (Padé approximant)</a> 是一個有理多項式近似法,它比截斷的泰勒級數準確,尤其泰勒級數不收斂時,帕德近似往往仍可行,所以多用於在計算機數學中。<div><br /></div><div><span style="font-size: x-large;">$R(x)=\frac{\sum_{j=0}^{m}a_{j}x^j}{1+\sum_{k=0}^{n}b_{k}x^k}=\frac{a_{0}+a_{1}x+a_{2}x^2+\cdots +a_{m}x^m}{1+b_{0}+b_{1}x+b_{2}x^2+\cdots +b_{n}x^n}$</span></div><div><span style="font-size: x-large;"><br /></span></div><div><span style="font-size: x-large;">And</span></div><div><span style="font-size: x-large;"><br /></span></div><div><span style="font-size: x-large;">$f(0) = R(0)$</span></div><div><span style="font-size: x-large;">$f'(0) = R'(0)$</span></div><div><span style="font-size: x-large;">$f''(0) = R''(0)$</span></div><div><span style="font-size: x-large;">$ \;\;\;\;\;\vdots $</span></div><div><span style="font-size: x-large;">$f^{(m+n)}(0) = R^{(m+n)}(0)$</span></div><div><br /></div><span><a name='more'></a></span><div>帕德近似法還沒用過,不過看起來它的計算量可以更少,誤差更小,有機會想試試看。</div></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-826579926530066532024-02-02T08:00:00.000+08:002024-02-02T08:00:00.343+08:00訓練數學感 365 ─ 求面積<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCtaZK1hQ2Kf-u1azj5BOS30eCBaodXNA8nHSQOlk5udfX471RtkIwCz8-nHnUpKGwbdm6UJEuxbb7geHo4vW0SG9HxOn1MMF0RKJywruklUzNo6taFY9lxufGD98w2AxY11yA2hQUCJAfRPD2DuWBV2vtXY4zC-95TT_RVC2ZNbKghckqxxIUlTfcOGqL/s470/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-01%20111210.jpg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="448" data-original-width="470" height="305" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCtaZK1hQ2Kf-u1azj5BOS30eCBaodXNA8nHSQOlk5udfX471RtkIwCz8-nHnUpKGwbdm6UJEuxbb7geHo4vW0SG9HxOn1MMF0RKJywruklUzNo6taFY9lxufGD98w2AxY11yA2hQUCJAfRPD2DuWBV2vtXY4zC-95TT_RVC2ZNbKghckqxxIUlTfcOGqL/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-01%20111210.jpg" width="320" /></a></div>ABCD 為正方形,<span id="docs-internal-guid-b6a1e437-7fff-3b07-5941-76dfaf0dc1c4"><span face="Arial, sans-serif" style="font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">∠AEB = 90</span></span><span id="docs-internal-guid-046c04f2-7fff-b4f2-e3ea-43d0a312a703"><span face="Arial, sans-serif" style="font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">°,AE = 4</span></span><div><span><span face="Arial, sans-serif" style="font-size: 12pt; font-variant-alternates: normal; font-variant-east-asian: normal; font-variant-numeric: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">求 </span></span><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;">∆ </span><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;">ADE 面積。</span></div><div><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;"><br /></span></div><div><span face="Arial, sans-serif" style="white-space-collapse: preserve;">難度 ✩✩</span></div><div><span><a name='more'></a></span><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;"><br /></span></div><div><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;">這題對小學生來講是資優題。</span></div><div><span face="Arial, sans-serif" style="font-size: 12pt; white-space-collapse: preserve;"><br /></span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-54896579135878098782024-01-29T08:00:00.155+08:002024-01-29T08:00:00.142+08:00公司財報<div>這裡記錄一些財報常看到的項目,方便自己查閱,不多解釋。</div><div><br /></div><div><br /></div><div><a href="https://zh.wikipedia.org/wiki/%E6%AF%9B%E5%88%A9%E7%8E%87" target="_blank">毛利率(Gross margin)</a> = (銷售收入淨額-銷售成本) / 銷售收入淨額 x 100%</div><div><br /></div><div><a href="https://zh.wikipedia.org/wiki/%E6%AF%9B%E5%88%A9%E6%B6%A6" target="_blank">毛利潤(Gross profit)</a>= 淨銷售 - 銷售成本 = 營業收入 - 營業成本</div><div><br /></div><div><a href="https://zh.wikipedia.org/wiki/%E7%87%9F%E6%A5%AD%E9%A1%8D" target="_blank">營業利潤(Revenue 營業收入,營業額,毛銷售)</a>= 毛利潤 - 營業費用</div><div><br /></div><div>淨銷售 = 毛銷售 - (顧客折扣 + 退回 + 折讓)</div><div>銷售折扣(Sales Discounts),銷貨退回(Sales Returns),銷售折讓(Sales Allowances)</div><div><br /></div><div><div>息稅前利潤 = 營業利潤 + (營業外收入 - 營業外支出)</div><div><br /></div><div>營業收入 (息稅前利潤) = 營業利潤 + 營業外利潤</div><div><br /></div><div><a href="https://zh.wikipedia.org/wiki/%E7%B4%94%E5%88%A9" target="_blank">純利(Net Income)</a>= 營業收入 - 利息支出 - 稅</div></div><span><a name='more'></a></span><div><br /></div><div>公司每一季會公布財報,理解上面的專業術語會有助於公司的經營狀況。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com4tag:blogger.com,1999:blog-3550204829234352390.post-57107441352644077262024-01-25T08:00:00.013+08:002024-01-25T08:00:00.134+08:00如何表達不同意見<div><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitgTBhQa4bSeKXF33GszvDxgO_2Ih4QecNIzqLW-B8gElDNfAZqm_Be7cDNpaQiNw9zYHqBUBCd6PxKAssFO-fhnLnbFbtAkXcOBEmE83UXcdDaJ-Yp96me7FYfwgywgHI3ZHn15VO7bqL/s640/2000px-Graham%252527s_Hierarchy_of_Disagreement+b.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="554" data-original-width="640" height="554" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitgTBhQa4bSeKXF33GszvDxgO_2Ih4QecNIzqLW-B8gElDNfAZqm_Be7cDNpaQiNw9zYHqBUBCd6PxKAssFO-fhnLnbFbtAkXcOBEmE83UXcdDaJ-Yp96me7FYfwgywgHI3ZHn15VO7bqL/w640-h554/2000px-Graham%252527s_Hierarchy_of_Disagreement+b.png" width="640" /></a></div><div style="text-align: center;"><a href="https://phiphicake.blogspot.com/2012/01/paul-graham.html" target="_blank">圖片來源:「哲學哲學雞蛋糕」朱家安</a></div><div><br /></div><div>在 FB 看到閱讀前哨站有篇貼文很不錯,主題是「<a href="https://www.facebook.com/ReadingOutpost/posts/pfbid0k5kRte3mVL6421mhPUKmsL1pDmDHGbtDHgXydAXUB3ktZdQqePa8M5UnnwyLMRcWl" target="_blank">如何表達不同意見</a>」,因為在溝通的過程中,常常會遇到意見相左的情況,那應該如何表達呢?上面的圖表顯示 Paul Graham 七種不同等級不同意見的表達方式 。</div><div><br /></div><div>朱家安另外有一個<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhigz_4GVu-3M_rRy34AvMCfhSDhUI8DyCp85QzHeruQFbHc1aD8piB-icBONUJqoJND50EADaq7uZU_XRl5eKC4dC3wkWjJxHLseKItqmPl2ie6JCd7DbZDjJxLtWXqN1JGZ53ASaFpqu4/s1600/%25E5%25A6%2582%25E4%25BD%2595%25E8%25A8%258E%25E8%25AB%2596.001.jpeg" target="_blank">意見回應流程圖</a>,五個步驟可區分溝通是否有問題:</div><div>一、他有誠意嗎?</div><div>二、他在講啥?</div><div>三、他的理解對嗎?</div><div>四、他的論證對嗎?</div><div>五、騎士精神</div><span><a name='more'></a></span><div><br /></div><div>這個騎士精神是在對方最佳狀況下挑戰,並展現誠意討論與溝通,可以擊敗對方的觀點,甚至還可以想到對方沒想到的點,即使對方提出修正版本,不只能抵禦還能突破,徹底讓對方心服口服。</div><div></div><div id="gtx-trans" style="left: 349px; position: absolute; top: 995.727px;"><div class="gtx-trans-icon"></div></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-52483043501231800362024-01-21T08:00:00.002+08:002024-01-27T10:14:11.156+08:00訓練數學感 364 ─ 杯子高度<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEillbieX_AATCEvTOAMaeapI8_JDToWBOFjWxmuWoQJXA2lvIY4fwTgmXKDJI5bmaYSyPttzYpRD5BI3LYzmE3Glwrzc1xnZ2QKvylrsWCmO84R_fCrbhPVBoc0_KjU4iw29zN7uSE8aYmIIaoIo854JhDQIjHKocZ8IWv6WdZ-TUvyNAeRQ0-SJt5wroza/s720/411681734_7455239724495430_7815257761993896290_n.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="405" data-original-width="720" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEillbieX_AATCEvTOAMaeapI8_JDToWBOFjWxmuWoQJXA2lvIY4fwTgmXKDJI5bmaYSyPttzYpRD5BI3LYzmE3Glwrzc1xnZ2QKvylrsWCmO84R_fCrbhPVBoc0_KjU4iw29zN7uSE8aYmIIaoIo854JhDQIjHKocZ8IWv6WdZ-TUvyNAeRQ0-SJt5wroza/w640-h360/411681734_7455239724495430_7815257761993896290_n.jpg" width="640" /></a></div><br /><div><br /></div><div>如圖所示,求杯子高度。</div><div><br /></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">難度</span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;"> </span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">✩</span></div><div><span><a name='more'></a></span><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;"><br /></span></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">在網路上看到這題,很適合小三以上的小朋友試看看。</span></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;"><br /></span></div><div><span face=""Trebuchet MS", Trebuchet, Verdana, sans-serif" style="font-size: 16px;">這一題讓我想起</span><span face="Trebuchet MS, Trebuchet, Verdana, sans-serif"><a href="https://4rdp.blogspot.com/2011/10/blog-post.html" target="_blank">訓練數學感 3 ─ 好難的小二數學</a>,因為它啟發了 Andy 的數學資優之路,他的數學創造力讓他順利考到資訊工程學系。</span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-62524206386008592492024-01-17T08:00:00.851+08:002024-01-17T19:34:01.292+08:002024 總統大選結果心得感想<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiqx4o9OVHZtc2T2fmpouladh4eZ9e2sZ9ZIpUmJqjpjjFtt4f16zmPxAlmMSD0SY5BMeXaNb7bhp5ZIIqelmwgqHIViuPkQ7284ZiXJyD6dXuTpFsjbe8C1QdlnAltMz9Ub7R2E1QEKnZhDXiEqjm9kNyqKX25NzzF0DVkM6BAC2S-HMdQVcAytJn87f6/s787/Screenshot_20240114_083445_Dcard.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="647" data-original-width="787" height="329" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgiqx4o9OVHZtc2T2fmpouladh4eZ9e2sZ9ZIpUmJqjpjjFtt4f16zmPxAlmMSD0SY5BMeXaNb7bhp5ZIIqelmwgqHIViuPkQ7284ZiXJyD6dXuTpFsjbe8C1QdlnAltMz9Ub7R2E1QEKnZhDXiEqjm9kNyqKX25NzzF0DVkM6BAC2S-HMdQVcAytJn87f6/w400-h329/Screenshot_20240114_083445_Dcard.jpg" width="400" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjutpkUyGvwtCimBPECoyWnlDl_j5bVQLS6bEJFI1CMO4TkloL0peYlJNWJQm06r-sNxaZgq-8quR9Eh22Wg0vq0Zo0brx1pDH8eSdD33ntR3ANL8z3cgBjVYtQ2OJr6YEOrIstaSGUs2ZQ9-Goiegb5323eFB0ZriluZPfMaFrtFaApbD8NUJOHddSwPVY/s338/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20090845.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="278" data-original-width="338" height="263" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjutpkUyGvwtCimBPECoyWnlDl_j5bVQLS6bEJFI1CMO4TkloL0peYlJNWJQm06r-sNxaZgq-8quR9Eh22Wg0vq0Zo0brx1pDH8eSdD33ntR3ANL8z3cgBjVYtQ2OJr6YEOrIstaSGUs2ZQ9-Goiegb5323eFB0ZriluZPfMaFrtFaApbD8NUJOHddSwPVY/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20090845.jpg" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk91MCJZHJ6xGbFxGlOSg2uiJtHCxHgsih1RH-qGcvhFaQU0ubPV5_Xq8aEN7sKlwoqwnWYp3WaFn0wwMcaWCBKwSomT8JPY4sSinWsopzMb2LhRoqXctgn95MxQnCtL7nRvybsxLMVviH_kV_EQSfKDKiXCGQjLAu6uqsCwIOaznMw2wqVcBhOOo0ltYd/s532/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20091609.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="167" data-original-width="532" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjk91MCJZHJ6xGbFxGlOSg2uiJtHCxHgsih1RH-qGcvhFaQU0ubPV5_Xq8aEN7sKlwoqwnWYp3WaFn0wwMcaWCBKwSomT8JPY4sSinWsopzMb2LhRoqXctgn95MxQnCtL7nRvybsxLMVviH_kV_EQSfKDKiXCGQjLAu6uqsCwIOaznMw2wqVcBhOOo0ltYd/w640-h200/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20091609.jpg" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;">以上是這次台灣 2024 總統大選的結果,可惜這次民眾黨的 KP 不能如願當選總統,因此留文記錄個人心得感想。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">一、50 歲以上高齡者 (958.5 萬人),多數不喜歡 KP,因為覺得他立場會變來變去,無法估計對自身利益優劣,更何況他砍過台北市敬老年金,以及縣市首長施政滿意度是倒數的,使得他在高齡族群不受青睐與信賴。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">二、歷屆總投票率約在 70%,今年投票人數在 1404.8 萬人,很多人可能因為居住、工作關係而無法投票,尤其 50 歲以下的人,居住在外地,又從事服務業週六需要工作,那將無法投票。這些人看來在短期內難以階級流動往上爬,也許一輩子會成了低薪奴隸,因為投票數量優勢在高齡區塊。KP 估計本次勝選,需要 40歲以下年輕投票率高達 85%,可是今年年輕投票率只 55%,那就贏不了。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both;">三、這次選舉讓我看清選民結構,四年後除非 KP 有其它新的勝選招數,可以再繼續增加 150 萬張選票以上,否則我不認為民眾黨有單獨足夠選票可以勝過民進黨,如果下次總統大選又是三腳督情況下,頂多民眾黨與國民黨角色互換,非綠政營想要執政必須合作,不過要說服白營支持者接受柯文哲擔任副總統是一項艱難任務,倘若民眾黨堅持自己走自己的路,那就專注於立法與監督,另外也可以考慮部分人員以民眾黨員身分與綠營合作擔任部會首長。</div><div><br /></div><span></span></div><div class="separator" style="clear: both; text-align: left;">四、電視報紙新聞媒體被藍綠兩黨壟斷,除了持續攻擊 KP 並掩蓋一些不公不義之事,部分深綠選民仍可以忍受貪腐的政權,他們寧願不跟中國有任何交往,可是這樣的局面也將困住需要外貿生存的住民,高齡者多已退休無須工作,並且掌握各項房屋資產,藍綠政黨與建商企業掛勾很深,選舉需要政治獻金,就會不斷開發新地炒房,進而推高房價對已經有房產的人更加有利,更加激化財富階級區隔。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">五、一月 15 日,民眾黨團召開記者會,提出四項具體承諾,對於有意角逐立法院正副院長的人選,希望他們清楚地向台灣社會報告政見意向,包括修法建立國會聽證調查制度 (可監督行政官員,這藍營會支持),強化人事同意權審查 (可控制行政官員,這藍營會支持),強化立委利益迴避規範 (估計藍綠兩黨消極配合),還有立法院定期公布相關經費的使用 (韓國瑜擔任立法院長後,綠營會支持)。這確實是民眾黨多數支持者的期望,另外個人還支持修中央與地方財政劃分法,因為地方財源不足時,將以土地開發來補足財政需求,這樣就會推高房地產價格,這也是我從 KP 解說台灣財政問題理解到的。</div><div><br /></div><div class="separator" style="clear: both; text-align: left;">六、柯粉的特質,除了理性科學務實之外,非常重視公開透明以及公平正義,反觀國民黨、民進黨,這方面就不會太重視,行政上出現貪汙腐敗,又不下台,那麼這些無恥的典範就會影響別人,因為有樣學樣。</div><div class="separator" style="clear: both; text-align: left;"></div><span><a name='more'></a></span><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">七、國民黨推出侯友宜是很大失策,讓 5% 藍營的人不願投侯改投 KP,不過也有 17% 綠營的人難忍現有政府作為改投 KP,雖說 KP 獲取 26.5% 得票,但是他的基本盤只在 22%。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">八、美麗島民調看似離譜,不過可視為 50 歲以上的人投票意向,非綠陣營下次可以反攻的機會應該是賴民調落於 30% 以下才有機會。將來這四年賴清德將不好過,內有立法院三黨不過半、能源經濟問題,外有台海更加緊張、ECFA、COP 28 等議題,白營不會再讓綠營隨便亂花錢債留子孫。</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;">以後每四年首投族只會增加約 100 萬人,KP 想繼續增加支持度,建議他多造訪地方基層開講,宣揚他的政治理念,甚至可以考慮參加綠營的電視政論節目,為自己的政策當場辯護,與政論民嘴們直接直球對決。基本上民眾黨勤奮工作 (每天 7:30 上工),致力於讓政府公開透明 (清廉) 並追求社會公平正義 (取得民眾對政府的信任),以 KP TV 教化民眾對推行法案的理解,未來立院席次自然會大增,甚至可以獲取縣市長及議員當選,最後贏得總統大選。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-4623357858787153892024-01-13T08:00:00.231+08:002024-01-14T15:58:02.716+08:00總統大選相關英文字彙<div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9NIYS5ORmkGnSS0SGE_x1Cl_0Gtl0zkG45rT49sUELXyaaX7wS4YwN7PK3MJBYKnOlEELA-yr4CJ52QG4kz3hkYMeK-DR5OKUOFWjBQLE7bUR5Z8cchXzrQ_flAZ_rIbr79r2tShUcZmuaiitBPjkO_1WmFV12nuzHe87lpCc6AYbAiqdAK3On63mK1J9/s1141/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20155706.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="237" data-original-width="1141" height="132" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9NIYS5ORmkGnSS0SGE_x1Cl_0Gtl0zkG45rT49sUELXyaaX7wS4YwN7PK3MJBYKnOlEELA-yr4CJ52QG4kz3hkYMeK-DR5OKUOFWjBQLE7bUR5Z8cchXzrQ_flAZ_rIbr79r2tShUcZmuaiitBPjkO_1WmFV12nuzHe87lpCc6AYbAiqdAK3On63mK1J9/w640-h132/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202024-01-14%20155706.jpg" width="640" /></a></div><br />因為今天就是總統與立委選舉投票之日,就發一篇跟選舉相關文章,以下列出常見術語的相關英文字彙:</div><div><br /></div><div>國民黨 KuoMinTang (KMT)</div><div>民進黨 Democratic Progressive Party (DPP)</div><div>民眾黨 Taiwan People's Party (TPP)</div><div><br /></div><div>兩位醫生,一位警察 two doctors, one police officer</div><div>台大法律系 National Taiwan University's College of Law</div><div><br /></div><div>無黨籍總統参選人 independent presidential candidate </div><div>郭台銘 Terry Gou</div><div>富士康創辦人 Foxconn founder</div><div>面對中國官方稽查 face inspection by Chinese authorities </div><div>中國介選大動作 significant moves by China to interfere in the election </div><div><br /></div><div>中美對抗 China-US conflict</div><div>烏俄戰爭 Russo-Ukrainian War</div><div>以巴戰爭 Israeli-Palestinian conflict </div><div><br /></div><div>中華民國在台灣 the Republic of China in Taiwan </div><div>台獨 pro-Taiwan independence </div><div>一中 One China </div><div>各表 respective interpretations</div><div>92共識 1992 Consensus </div><div>反共不反中 an anti-communism, but not anti-China</div><div><br /></div><div>三脚督 three-way race</div><div>下架民進黨 removing the DPP from power</div><div>下架國民黨 down with the KMT</div><div>藍白合 Blue-White Alliance</div><div>藍綠惡鬥 political rivalry between the blue and green</div><div>挖牆角 undermining opponents </div><div>合縱連橫 forging alliances</div><div>棄保 forcing people to vote strategically </div><div>彎道超車 overtaking the curve</div><div>超車 overtook </div><div>對抗 defeat</div><div>團結 unite</div><div>送秋波 playing nice with each other</div><div>針鋒相對 engaging in a war of words</div><div><br /></div><div>行政院副院長 deputy premier</div><div>立法委員 legislator</div><div>國是會議 convene a National Congress</div><div><br /></div><div>民調 poll conducted </div><div>九合一選舉 Nine-in-One local elections</div><div>二十二縣市 22 counties and cities </div><div>上任 taking office</div><div>下台 stepping down </div><div><br /></div><div>兩岸 cross-strait relations</div><div>國防 national defense</div><div>內政 internal </div><div>外政 external </div><div>外交 diplomacy</div><div>外交政策 foreign policy</div><div><br /></div><div>陸軍 army of netizens</div><div>空軍 air force</div><div>飛彈 missile</div><div>衛星 satellite</div><div>防空警報 air defence alert</div><div>共機擾台 harassment of Taiwan by Chinese military aircraft</div><div>增加國防預算 increasing the defense budget </div><div>任何單方面改變台海現狀的行為都不可接受</div><div>any unilateral change in the status quo across the Taiwan Strait would be unacceptable </div><div>3D戰略,嚇阻,對話,降低風險</div><div>3D strategy, deterrence, dialogue, and decreasing risk</div><div><br /></div><div>進口雞蛋事件 imported egg controversy </div><div>和平政黨輪替 peaceful transition of power</div><div>太陽花學運 the Sunflower Student Movement</div><div>一例一休 one fixed day off and one flexible rest day</div><div>護國神山 the guardian of Taiwan</div><div><br /></div><div>缺蛋,疫苗 shortage of eggs and vaccines</div><div>補貼 subsidies</div><div>碳足跡 carbon footprint </div><div>碳稅 carbon taxes</div><div>文官 civil officials </div><div>撒幣 offering money</div><div>碳,能源,RCEP,ECFA,國安,財政</div><div>carbon, energy, RCEP, ECFA, national security, and financial issue</div><div>經濟衰退 出口下滑 民生凋敝 民不聊生</div><div>economic decline, declining exports,suffering citizens and hard times</div><div><br /></div><div>非核家園 nuclear-free homeland policy</div><div>台電 Taiwan Power Company </div><div>髒電 non-renewable sources </div><div>買綠電而財務虧損 financial losses from green energy purchases</div><div>離岸風電 offshore wind energy</div><div><br /></div><div>300萬年輕選票 three million young voters</div><div>婚生教養,世代貧窮,青年低薪,居住正義</div><div>marriage, childbirth, childbearing, generational poverty, low wages among the youth, and housing justice</div><div>蓋社宅 constructing public housing </div><div><br /></div><div>現在有什麼樣的工作 What kinds of jobs are available now?</div><div>未來會需要什麼工作 What jobs will be needed in the future?</div></div><span><a name='more'></a></span><div><br /></div><div>最後今天要記得去投票。近日國防部發出錯誤英文警報簡訊,想起從 Funday 學到一些選舉英文字彙跟大家分享。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-26242287882318672222024-01-09T08:00:00.001+08:002024-01-09T08:00:00.134+08:00太陽光電<div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="266" src="https://www.youtube.com/embed/gFfrP50wkSY" width="320" youtube-src-id="gFfrP50wkSY"></iframe></div><br /><div>今天推薦這部公視影片,看過影片之後才更明瞭為什麼在台灣不容易推展太陽光電,不光是天候因素,屋頂型光電板的設置受制於建築法規限制最多,其次是產權受益的法律問題,這也是公私部門看不到廣設屋頂光電板的主因,另外就算設置了光電板發電可以自用,還涉及電路併接技術問題,原先以為可以減少台電供電,如果沒有良好併接控制的話,很可能變成另一個室內負載,還會增加收費電表度數,因此太陽光電無論是法規還是技術問題,都需要逐一克服。</div><span><a name='more'></a></span><div><br /></div><div>發現近期個人的學習,漸漸脫離書本,而網路影片比重逐漸增加,影片的解說比較生動,不過比較缺乏自主思考,這要自己反芻細嚼才能獲得精髓。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-63896053620089739672024-01-05T08:00:00.001+08:002024-01-05T08:00:00.250+08:00環境 > 選擇 > 努力<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfeJDZxnJL_rTGAdG8qMoevO-c_cg9r3TPnWls2nDBCUSGvC4zxMaujCGXj2D7DuvQu9Hynl2LFBP-ffm10DfUpC_btHMY6Wsb7AYsze0ujuNZiURthYgL_Ja88sCbNqHCX_NeXmsKTGV2uh8SLgvnsV_Quw39jPfBbnPSlXcU63CkYcij11RDgxrb941e/s1452/356451376_656776766469586_2526903443193444234_n.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="1452" data-original-width="1080" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfeJDZxnJL_rTGAdG8qMoevO-c_cg9r3TPnWls2nDBCUSGvC4zxMaujCGXj2D7DuvQu9Hynl2LFBP-ffm10DfUpC_btHMY6Wsb7AYsze0ujuNZiURthYgL_Ja88sCbNqHCX_NeXmsKTGV2uh8SLgvnsV_Quw39jPfBbnPSlXcU63CkYcij11RDgxrb941e/s320/356451376_656776766469586_2526903443193444234_n.jpg" width="238" /></a></div>左圖是擷取<a href="https://www.facebook.com/bridan.wang/posts/pfbid02WQi7B1a5BpVfT6whBkXaZx5XwMP3JU3XAA8EHwjSW2PwmSkwPrTtXUEydbLvMCRCl" target="_blank">生活中的程式</a>在 FB 一篇文章的貼圖,文中提到年薪 48 萬元在電子業屬後段 15%,但在其它行業屬於前段 75%,意思是要先選擇賺錢的行業薪資才會高,才有辦法翻轉階級!<span><a name='more'></a></span><div><br /></div><div>給後輩的建言,<span style="background-color: #fcff01;">如果你在意薪水多寡,找薪水多的就對了,不在意薪水的,選自己興趣的,簡單說,</span><span style="background-color: #fcff01;">解決麵包問題後再追求自己的夢想,</span><span style="background-color: #fcff01;">記得自己的選擇自己承擔</span>。</div><div><br /></div><div>有興趣的朋友,請參閱原文</div><div><a href="https://www.facebook.com/CodeInLife/posts/pfbid0bJr4Z9HqBvjoWCMhhcJNrwHqw1aMkbrRy1nZ3M1g6mvn19fy5U5JRsQx9JgtLBxJl" target="_blank">https://www.facebook.com/CodeInLife/posts/pfbid0bJr4Z9HqBvjoWCMhhcJNrwHqw1aMkbrRy1nZ3M1g6mvn19fy5U5JRsQx9JgtLBxJl</a></div><div><br /></div><div><br /></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-13272645744064461062024-01-01T00:00:00.003+08:002024-01-02T23:27:58.027+08:002024 新年新希望 (KP 白紙運動)<div>2024 新年快樂!</div><div><br /></div><div>今年總統大選確定三腳督,柯文哲抽到 1 號,民眾黨也搶到 1/12 日凱道之夜的路權,當晚我將會到場支持,個人新年希望 KP 可以進入總統府實際執政。</div><div><br /></div><div><div>個人一直都是中間選民,兩黨政治時代,經常分裂投票,市長投給某人,議員就會投給他的反對黨,現在三黨不過半情形,比較期待台灣民眾黨實施「聯合政府,團結台灣」,擺脫藍綠惡鬥,先讓台灣有內部共識,在美中對抗局勢,跟大陸的互動應該是可以合作時就合作,該競爭就競爭,需對抗時就對抗,暨軍事備戰也兩岸止戰,以謀取台灣最大利益。現在執政黨腐敗、行政怠惰,而國民黨又太親中,加上目前電視新聞媒體幾乎被藍綠壟斷,以不讓對手新聞露出或是偏頗角度報導居多,因此現在改成聽閱自媒體為主。</div><div><br /></div></div><div>基於選賢與能的理念,個人是挺 KP 的,因為台灣民眾黨提出諸多對台灣社會良善政策相關政見,對於他黨的弊端實事求是,不會去造謠抹黑,這讓我對他們的好感度提升很多。而且民眾黨的立委與縣市議員們也都很認真在議會問政,還有民眾黨是最不向財團靠攏的政黨,並且 KP 在八年台北市長任內公開透明、努力不邂地推行各項市政,也難怪有很多民眾成為鐵粉。</div><div><div><br /></div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzukEvmCk_wl3BIffy3mpeJJHzq4TC4pJCwhsIf_e4UsHytrY9tmQSNBdME2EHPRgbULAf5TXn4sShXEjqugT3TnXh3DOeUVMzlVAFLfESbO0biKZGM0Uf26kKFYBOPFSApnE0xfNxuU3_HxSZb0wbsUh5WCSfgsoxOxfPHXe9AHiHDmLTFcpXjNsd8zwD/s1612/407671801_785075046971581_7234535370091295696_n.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1612" data-original-width="1080" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjzukEvmCk_wl3BIffy3mpeJJHzq4TC4pJCwhsIf_e4UsHytrY9tmQSNBdME2EHPRgbULAf5TXn4sShXEjqugT3TnXh3DOeUVMzlVAFLfESbO0biKZGM0Uf26kKFYBOPFSApnE0xfNxuU3_HxSZb0wbsUh5WCSfgsoxOxfPHXe9AHiHDmLTFcpXjNsd8zwD/w428-h640/407671801_785075046971581_7234535370091295696_n.jpg" width="428" /></a></div><div><br /></div><div style="text-align: center;">YouTuber 葉式特工、DearNaNa 及詠翔發起「扛阿北•守台灣」活動,從富貴角背 KP 人型氣球徒步至恆春。(<a href="https://www.facebook.com/dearnana1313/posts/pfbid02eh14q9HRVfisB5zVz6CCejscg1JBeXtVMdjDLApcLesZPWTiapaNdzwMAhRwqAhZl" target="_blank">DearNaNa</a> FB)<div class="separator" style="clear: both; text-align: center;"><br /></div></div><div><span><a name='more'></a></span>KP 是不鋪張浪費在選舉上,他的各項作為正規中道,因為沒向財團大額募款,未來執政也少了過去包袱,比較能改革舊的壞習並清廉勤政,以往選個總統,要動員民眾上萬人到場,沒有百億元花費哪能勝選,這樣無法期待執政後可以多清廉,還有 KP 到處清楚宣講他的政治理念以及答覆現場聽眾的問題,因此許多民眾熱心響應與支持,有些活動是民眾自主舉辦,例如 12/23 陳清茂舉辦高雄萬人場次。另外,很多鐵粉會自主舉辦活動讓人感動,例如扛 KP 人偶氣球從北台灣走到南台灣,他們將再往回走 1/12 可以再回到凱道把 KP 送進總統府!</div><div><br /></div><div>我會喜歡 KP,是因為他可以長期堅持執行重要應該要做的事情,例如每天 7:30 台北市政府晨報連續八年,就像我已經連續 15 年持續更新部落格一樣,這需要一股熱誠與耐力。</div><div><div><br /></div><div>從 KP 和民眾黨以往施政的紀錄,相信他們確實能實踐「清廉、勤政、愛民、愛鄉土」這樣的政治價值,心存善念,盡力而為。</div></div><div><div><br /></div><div><span style="background-color: #fcff01;">請你找一張白紙紀錄 2024 新年新希望,若你認同 KP 的政見內容,可以寫下為什麼想挺 KP,把內容貼在自己的社群軟體上。</span></div><div><span style="background-color: #fcff01;"># 2024 挺 KP</span></div><div><span style="background-color: #fcff01;"># KP 白紙運動</span></div><div><br /></div><div></div></div><div>延伸閱讀</div><div><a href="https://2024kpromise.tw/political/?tab=national" target="_blank">2024 總統大選 柯文哲的政策內容</a></div><div><a href="https://www.youtube.com/playlist?list=PLivp01P9aEvZRPKzBZ8DLtWcdNM5ByeXi" target="_blank">KP 國是會議</a></div><div><a href="https://4rdp.blogspot.com/2014/03/" target="_blank">2014 太陽花學運與服貿協議</a></div><div><a href="https://www.youtube.com/watch?v=vnDzBcVikno" target="_blank">為什麼要投給柯文哲?</a></div><div><a href="https://www.youtube.com/watch?v=sIyA8EGScTw&t=5m0s" target="_blank">KP 台北市政績之一</a> (心中山線型公園)</div><div><a href="https://www.youtube.com/watch?v=8bhgSiByw30" target="_blank">嗆賭 柯文哲勝侯友宜</a> (一哥)</div><span id="ginger-button-for-rephrase" style="left: 4px; position: fixed; top: 451px; visibility: visible; z-index: 51;" title="Rephrase"></span>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com4tag:blogger.com,1999:blog-3550204829234352390.post-53040733673222899942023-12-29T08:00:00.001+08:002023-12-29T08:00:00.236+08:00訓練數學感 363 ─ 金星的東西大距<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcvsz_xIad0_U32pVphYOvHrEA59-BGNMZ75O-hOop6UlyaUKElAYgeKtasQJxPwPyJr8Ph8GAz783Z4J0Inf3yfbtX1fa42huqitPaNptvRD4RD_RLAD6JYDsjOJYnqqbE9oRiDpzsCXHs4zEZ2kIWnzJW1psVR8pSa1INcJFcLHmc5PiZ78btGcsx0W8/s903/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-16%20110656.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="554" data-original-width="903" height="392" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjcvsz_xIad0_U32pVphYOvHrEA59-BGNMZ75O-hOop6UlyaUKElAYgeKtasQJxPwPyJr8Ph8GAz783Z4J0Inf3yfbtX1fa42huqitPaNptvRD4RD_RLAD6JYDsjOJYnqqbE9oRiDpzsCXHs4zEZ2kIWnzJW1psVR8pSa1INcJFcLHmc5PiZ78btGcsx0W8/w640-h392/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-16%20110656.jpg" width="640" /></a></div><div><br /></div>難度 <span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">✩</span><span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">✩</span><span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">✩</span><div><span><a name='more'></a></span><span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;"><br /></span></div><div><span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">這個題目在網友行天下的臉書看到,是我有興趣的題目,因此蒐錄下來。</span></div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-88507648623046081662023-12-25T08:00:00.004+08:002023-12-30T10:17:22.929+08:00資工系的功課<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhOpAN_0Y7OLpwnEgIZkLG35UCWHC-ZM8jPW28fH7L25iuTJVlCt4ZNuCZsoYQeit5m3O92kNHKk8BiIV-520HoHMMqhkYMmMg8IwODHal7SJGT0-mT8SjWjElV6CRRefC9EF3JhjKW_31wIwSZ6tkZOg8DFdbOBvAa40QgyTTd7wU-FReoI7rfNkTjbhI/s1525/409459050_745367237626704_8947023335310640330_n.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1525" data-original-width="1080" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhOpAN_0Y7OLpwnEgIZkLG35UCWHC-ZM8jPW28fH7L25iuTJVlCt4ZNuCZsoYQeit5m3O92kNHKk8BiIV-520HoHMMqhkYMmMg8IwODHal7SJGT0-mT8SjWjElV6CRRefC9EF3JhjKW_31wIwSZ6tkZOg8DFdbOBvAa40QgyTTd7wU-FReoI7rfNkTjbhI/w454-h640/409459050_745367237626704_8947023335310640330_n.jpg" width="454" /></a></div><div class="separator" style="clear: both; text-align: center;">圖片來自 </div><div class="separator" style="clear: both; text-align: center;"><a href="https://www.facebook.com/tos.zh/posts/pfbid0qua9TFB9TVgmQTY6w1GFiroWKyYqk2myG1n4r2LLBqqD4FbqTjaeJ2R4Kgz7fh5cl">https://www.facebook.com/tos.zh/posts/pfbid0qua9TFB9TVgmQTY6w1GFiroWKyYqk2myG1n4r2LLBqqD4FbqTjaeJ2R4Kgz7fh5cl</a></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">Art illustrated by <a href="https://www.facebook.com/vic.artwork" target="_blank">VIC漫畫日誌x創作分享</a></div><div><br /></div></div><br />資工系的專業科目,幾乎每一科都要寫程式,Andy 就讀交大資工系之後,大二下修一堆需要寫程式的專業科目,開始後悔了。<div><br /></div><div>有些科目開學起每週會有小作業,一天後繳交,通常花幾個小時就可以搞定,隨著課程難度加深,開始有中型作業,要寫個幾天才能完成,有些老師還會給大作業,於期末繳交,一寫沒一兩個禮拜很難完成,甚至還需加入報告說明,不愧為交作業大學。</div><div><br /></div><div>近日 Andy 和我討論功課問題,我給了一些建議,中大型的作業,切勿拖到最後一週或前一天再來趕作業,程式只要出現 bug 卡關,你絕不可能準時交卷,要給自己一個寬鬆的設計時間估計,簡單說寫一個小時候再留三倍時間除錯,尤其是初學者。</div><div><br /></div><div>學校功課因為老師分科,倘若每位老師同時要求作業,時間管理在此時非常重要,小作業比較急迫應優先處理。再者中大型作業,複雜程式要拆解設計,切勿一口氣設計全放在同一個大程式,因為除錯時會很難查問題,把程式依據功能分類,一塊一塊設計再把他們拚起來,基本上程式優先設計 UI (使用者介面),你可以從介面互動設計過程中,快速掌握該程式語言特性,核心處理程式一般會涉及演算法,就看它的資料結構再搭配設計。</div><span><a name='more'></a></span><div><br /></div><div>最後敬告不喜歡寫作業還有怕傷腦筋寫程式的同學,請不要隨便誤闖,因為資工系的功課複雜多樣,一個大作業就可以讓你搞一個月,很多沒興趣的同學最後都放棄了,非常可惜,個人建議未來想從事跟資通訊相關工作又缺乏耐性不想寫複雜程式的人,就讀電機相關科系應該是比較好的選擇。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-89488278242336109362023-12-21T08:00:00.001+08:002023-12-21T08:00:00.137+08:00WaveDrom<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ2lOoobdPkYD5Z8z6PpoYVaHSXfZzu-ClcAmDbGZJ2LK9md6BVE4DJDBiRLzmfNKkxZqwRtcbUHmP1EY8P4UbPo9SONEgCGaMj4O83cBThBSXzI7E9xrC5LzU7oSP-IWQEh9GOolDpTWAGXBUatoc1qKkXIbO3mh5G0THVfMJVOZOtKNRFmFfQmg1rmqa/s945/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-02%20105626.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="355" data-original-width="945" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZ2lOoobdPkYD5Z8z6PpoYVaHSXfZzu-ClcAmDbGZJ2LK9md6BVE4DJDBiRLzmfNKkxZqwRtcbUHmP1EY8P4UbPo9SONEgCGaMj4O83cBThBSXzI7E9xrC5LzU7oSP-IWQEh9GOolDpTWAGXBUatoc1qKkXIbO3mh5G0THVfMJVOZOtKNRFmFfQmg1rmqa/w640-h240/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-02%20105626.jpg" width="640" /></a></div><div style="text-align: center;">圖案節錄自 WaveDrom</div><div><br /></div><div><br /></div><div>凡是電子或韌體工程師在查閱數位電路相關資料,只要涉及控制時序,訊號時序圖是絕對不可或缺的。</div><div><br /></div><div>工作報告時,偶而需要附上訊號時序圖說明,非專業軟體繪製通常不精美,因此在此推薦 <a href="https://wavedrom.com/" target="_blank">WaveDrom</a>,它可以線上編輯圖文,不需要安裝特殊軟體非常方便。</div><span><a name='more'></a></span><div><br /></div><div>本文主要留存個人記錄,方便未來使用搜尋,恕不提供教學。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-34639746627775424182023-12-17T08:00:00.013+08:002023-12-17T08:00:00.136+08:00從 Windows 使用金鑰免密碼登入 SSH/SFTP/SCP<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrrSjhIvg2GLTEt_CA-A9mr_792zwKQtpD-9RYAjICH1WIgfHM0M99Ky7_4M_VLDvbdnzR1s_AVaVaAPsTq7Bo2CPML3RTKtK6sDrOAo4UjaWyogOlEaBoPB_Kig-dPwqw83Ly8q8vvxk2TabgWTjiK7QSwZyGQQ8LnQYvcVr6HX1c4RlpSBtwy6Yx6ew1/s570/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-11-18%20080445.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="570" data-original-width="567" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrrSjhIvg2GLTEt_CA-A9mr_792zwKQtpD-9RYAjICH1WIgfHM0M99Ky7_4M_VLDvbdnzR1s_AVaVaAPsTq7Bo2CPML3RTKtK6sDrOAo4UjaWyogOlEaBoPB_Kig-dPwqw83Ly8q8vvxk2TabgWTjiK7QSwZyGQQ8LnQYvcVr6HX1c4RlpSBtwy6Yx6ew1/s320/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-11-18%20080445.jpg" width="318" /></a></div><br /><div style="text-align: center;">女孩 從 Windows 使用金鑰免密碼登入 SSH/SFTP/SCP 卡通風格 (Bing Image Creator)</div><div><br /></div><div>這篇文章主要做一個紀錄,因為看日本同事習慣使用 <a href="https://zh.wikipedia.org/wiki/Secure_Shell" target="_blank">SSH</a> (Secure Shell Protocol) 登入 Git Server 遠端主機進行程式碼上傳與更新,雖然自己不使用它,不過還是先記下來,以便於日後需用時翻閱。</div><span><a name='more'></a></span><div><br /></div><div>第一次接觸 SSH 是因為玩 <a href="https://4rdp.blogspot.com/2014/02/blog-post_15.html" target="_blank">Raspberry Pi</a>,年代久遠了,今年目標先完成橋牌簡明制 (Concise System for Bridge) 中文版,有空後再回頭。</div><div><br /></div><div>延伸閱讀</div><div><a href="https://blog.darkthread.net/blog/ssh-key-auth/?fbclid=IwAR1GwshL3pCyoChWr_ij1-Qr40x8LZf-OtYr1dDhfkv-eBSyIUxmCWI3GzM" target="_blank">從 Windows 使用金鑰免密碼登入 SSH/SFTP/SCP</a> (暗黑執行緒)</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0tag:blogger.com,1999:blog-3550204829234352390.post-52125678645899542502023-12-13T08:00:00.005+08:002023-12-13T08:00:00.253+08:00訓練數學感 362 ─ 求面積<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm1tU5McFTMYb6XHrJES5Mmts6A2sVSaBiUcRspursNKDQwSVJGst5Tv4P1Bqc_oZa3jRn8GI1lRODCrYB1UB11EIn2RfJ3p_jJzprOrUwvptRjw8aZke9bg42uhpJ9imtjACPIBLzcmzSjbqtOBmjmFNWiurrvjrWRzg6RXmH2cFtMBfur-A0zFtqTrfr/s844/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-02%20114855.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="407" data-original-width="844" height="308" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm1tU5McFTMYb6XHrJES5Mmts6A2sVSaBiUcRspursNKDQwSVJGst5Tv4P1Bqc_oZa3jRn8GI1lRODCrYB1UB11EIn2RfJ3p_jJzprOrUwvptRjw8aZke9bg42uhpJ9imtjACPIBLzcmzSjbqtOBmjmFNWiurrvjrWRzg6RXmH2cFtMBfur-A0zFtqTrfr/w640-h308/%E8%9E%A2%E5%B9%95%E6%93%B7%E5%8F%96%E7%95%AB%E9%9D%A2%202023-12-02%20114855.bmp" width="640" /></a></div>一個 4 x 8 大小的矩形,內有一大一小半圓相交,請求紅色面積共多少?<div><br /></div><div>難度<span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;"> </span><span style="font-family: "Trebuchet MS", Trebuchet, Verdana, sans-serif; font-size: 16px;">✩✩</span></div><span><a name='more'></a></span><div><br /></div><div>據說這是小學升國中的考題,我想這很多國中生也不見得會寫。</div>Bridanhttp://www.blogger.com/profile/17055047757114667099noreply@blogger.com0