锘??xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:trackback="http://madskills.com/public/xml/rss/module/trackback/" xmlns:wfw="http://wellformedweb.org/CommentAPI/" xmlns:slash="http://purl.org/rss/1.0/modules/slash/"><channel><title>&#31934;&#21697;&#20081;&#30721;&#19968;&#21306;&#20108;&#21306;&#19977;&#21306;&#44;&#20122;&#27954;&#25104;&#20154;&#22312;&#32447;&#32593;&#31449;&#44;&#32508;&#21512;&#22269;&#20135;&#31934;&#21697;&#20037;&#20037;&#20037;</title><link>http://www.aygfsteel.com/jimmyljb/</link><description /><language>zh-cn</language><lastBuildDate>Wed, 18 Jun 2025 06:48:57 GMT</lastBuildDate><pubDate>Wed, 18 Jun 2025 06:48:57 GMT</pubDate><ttl>60</ttl><item><title>concrete mathematics(1)</title><link>http://www.aygfsteel.com/jimmyljb/archive/2006/07/19/58885.html</link><dc:creator>jimmyljb</dc:creator><author>jimmyljb</author><pubDate>Tue, 18 Jul 2006 17:33:00 GMT</pubDate><guid>http://www.aygfsteel.com/jimmyljb/archive/2006/07/19/58885.html</guid><wfw:comment>http://www.aygfsteel.com/jimmyljb/comments/58885.html</wfw:comment><comments>http://www.aygfsteel.com/jimmyljb/archive/2006/07/19/58885.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.aygfsteel.com/jimmyljb/comments/commentRss/58885.html</wfw:commentRss><trackback:ping>http://www.aygfsteel.com/jimmyljb/services/trackbacks/58885.html</trackback:ping><description><![CDATA[1.2) Lines in the plane.<br />聽聽聽 What is the maximum number L, of regions defined by n lines in the plane? <br />聽聽聽 L0 = 1<br />聽聽聽 Ln = Ln-1 + n (n&gt;0)<br />=&gt;&gt;聽聽  Ln = n(n+1)/2 +1<br /><br />Suppose that instead of straight lines we use bent lines, each containing one 鈥渮ig!", such as "&lt;"<br />聽聽聽 Zn = L2n - 2n = 2n(2n+1)/2+1-2n = 2n^2-n+1 (n&gt;=0)<br /><br />1.3) THE JOSEPHUS PROBLEM<br />聽聽聽 In our variation, we start with n people numbered 1 to n around a circle,and we eliminate every second remaining person until only one survives.<br />聽聽聽 <img src="file:///C:/DOCUME%7E1/bbskill/LOCALS%7E1/Temp/moz-screenshot.jpg" alt="" />J(1) = 1 ;<br />聽聽聽 J(2n) = 2J(n) - 1 , for n &gt; 1;<br />聽聽聽 J(2n + 1) = 2J(n) + 1 <br />==&gt;&gt;J(2^m+l) = 2*l+1;<br /><br />for binary number<br />聽聽聽 J(ABCDEF) = 2*BCDEFA + 1 (A,B,C,D,E,F = 0,1)<br />聽聽聽 J(1...1...) = 1...1... 聽  (A = 1)<br /><br />涔犻鏈変竴涓槸姹夎濉旂殑棰樼洰錛岃鏄疉 C B涓笉鍏佽A鍜孊涔嬮棿浜ゆ崲錛屽嵆鍙兘to or from C銆?br />榪欓噷寰楀埌涓�涓畝鍗曠殑閫掑綊灝辨槸A(n) = 3A(n-1)+2 (n &gt;= 1)錛岀悊鐢辨槸鎶妌-1涓浠嶢緇忕敱C縐誨埌B錛屽啀鎶婃渶搴曚笅鐨勭n鍧椾粠A縐誨姩C錛屽啀鎶妌-1鍧椾粠B緇忕敱C縐誨埌A錛屽啀鎶奀涓殑絎琻鍧椾粠C縐誨埌B錛屾渶鍚庢妸A鐨刵-1鍧椾粠A縐誨埌B銆?br /><img src ="http://www.aygfsteel.com/jimmyljb/aggbug/58885.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.aygfsteel.com/jimmyljb/" target="_blank">jimmyljb</a> 2006-07-19 01:33 <a href="http://www.aygfsteel.com/jimmyljb/archive/2006/07/19/58885.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item><item><title>The 100 Best Products of the Year(zz)</title><link>http://www.aygfsteel.com/jimmyljb/archive/2006/07/18/58756.html</link><dc:creator>jimmyljb</dc:creator><author>jimmyljb</author><pubDate>Tue, 18 Jul 2006 07:05:00 GMT</pubDate><guid>http://www.aygfsteel.com/jimmyljb/archive/2006/07/18/58756.html</guid><wfw:comment>http://www.aygfsteel.com/jimmyljb/comments/58756.html</wfw:comment><comments>http://www.aygfsteel.com/jimmyljb/archive/2006/07/18/58756.html#Feedback</comments><slash:comments>0</slash:comments><wfw:commentRss>http://www.aygfsteel.com/jimmyljb/comments/commentRss/58756.html</wfw:commentRss><trackback:ping>http://www.aygfsteel.com/jimmyljb/services/trackbacks/58756.html</trackback:ping><description><![CDATA[
		<div   id="wmqeeuq"   class="blackBold15lh17">Top 100 listed numerically</div>
		<ol>
				<li>
						<a >Intel Core Duo</a> Notebook/Desktop CPU</li>
				<li>
						<a >AMD Athlon 64 X2 Dual-Core</a> Desktop CPU</li>
				<li>
						<a >Craigslist.org</a> Web Classifieds</li>
				<li>
						<a >Apple iPod Nano</a> Digital Audio Player</li>
				<li>
						<a >Seagate 160GB Portable Hard Drive</a> Portable Hard Drive</li>
				<li>
						<a >Google Earth</a> Satellite Imagery</li>
				<li>
						<a >Adobe Premiere Elements 2</a> Video Editor</li>
				<li>
						<a >Canon EOS 30D</a> Digital SLR Camera</li>
				<li>
						<a >YouTube.com</a> Video-Sharing Site</li>
				<li>
						<a >Apple Boot Camp</a> Mac Dual-Booter</li>
				<li>
						<a >Adobe Photoshop Elements 4</a> Image Editor</li>
				<li>
						<a >Mozilla Firefox 1.5</a>  Web Browser</li>
				<li>
						<a  target="_blank">Engadget.com</a> Gadget Blog</li>
				<li>
						<a >Toshiba HD-A1</a> HD DVD Player</li>
				<li>
						<a >Toshiba Qosmio G35-AV600</a> Power Notebook Computer</li>
				<li>
						<a >nVidia GeForce 7600 GT</a> Graphics Card Chip Set</li>
				<li>
						<a >Google</a> Search Engine</li>
				<li>
						<a >Sonos ZonePlayer 80</a> Digital Audio Streamer</li>
				<li>
						<a >RedOctane Guitar Hero</a> Video Game</li>
				<li>
						<a >Yamaha RX-V4600</a> Home-Theater Receiver</li>
				<li>
						<a >Pioneer BDR-101A</a> Blu-ray Drive</li>
				<li>
						<a >Adobe Photoshop CS2</a> Image Editor</li>
				<li>
						<a >Citrix GoToMyPC 5</a> Remote Access</li>
				<li>
						<a >Dealnews.com</a> Online Bargain Tracker</li>
				<li>
						<a >Palm GPS Navigator</a> GPS </li>
				<li>
						<a >MioNet</a> Remote Access</li>
				<li>
						<a >Ubuntu</a> Linux Distribution</li>
				<li>
						<a >Mozilla Thunderbird 1.5</a> E-Mail Application</li>
				<li>
						<a >Canon Pixma MP950</a> Multifunction Printer</li>
				<li>
						<a >Yahoo Mail (Beta)</a> Web-Based E-Mail</li>
				<li>
						<a >TiVo</a> Digital Video Recorder</li>
				<li>
						<a >Avvenu</a> Remote File Access</li>
				<li>
						<a >Blogger</a> Blogging Service</li>
				<li>
						<a >Sony Cyber-shot DSC-R1</a> Advanced Digital Camera</li>
				<li>
						<a >Apple Mac Mini</a> Value Desktop Computer</li>
				<li>
						<a >Apple iPod</a> Digital Audio/Video Player</li>
				<li>
						<a >Lenovo ThinkPad X60s</a> Ultralight Notebook</li>
				<li>
						<a >SideStep.com</a> Travel Site</li>
				<li>
						<a >Windows Live Local</a> Online Mapping</li>
				<li>
						<a >Creative Sound Blaster X-Fi</a> Sound Card</li>
				<li>
						<a >Alienware Aurora 7500</a> Power Desktop Computer</li>
				<li>
						<a >NEC MultiSync LCD 2180WG-LED</a> Flat-Panel Monitor</li>
				<li>
						<a  target="_blank">Apple iTunes</a> Digital Audio Software</li>
				<li>
						<a >Olympus Evolt E-330</a> Digital SLR Camera</li>
				<li>
						<a >Ultimate Ears Super.fi 5 Pro</a> Earphones</li>
				<li>
						<a >Creative Zen Vision:M</a> Digital Audio/Video Player</li>
				<li>
						<a >Google Desktop</a> Desktop Search</li>
				<li>
						<a >Opera 9 (Beta)</a> Browser</li>
				<li>
						<a >Mitsubishi XD460U</a> Projector</li>
				<li>
						<a >Vonage</a> VoIP Service</li>
				<li>
						<a  target="_blank">StumbleUpon</a> Browser Add-On</li>
				<li>
						<a >NoScript 1.1.4</a> Browser Add-On</li>
				<li>
						<a >Webroot Spy Sweeper 4.5</a> Antispyware</li>
				<li>
						<a >Microsoft Natural Ergonomic Keyboard 4000</a> Keyboard</li>
				<li>
						<a >Western Digital Raptor X</a> Hard Drive</li>
				<li>
						<a >Yahoo Maps (Beta)</a> Online Mapping</li>
				<li>
						<a >Intuit Quicken Premier 2006</a> Personal Finance</li>
				<li>
						<a >ATI Radeon X1900 XTX</a> Graphics Board</li>
				<li>
						<a >Javacool EULAlyzer Personal 1.1</a> License Analyzer</li>
				<li>
						<a >Eizo FlexScan S2410W</a> 24-Inch Wide-Screen LCD Monitor</li>
				<li>
						<a >Kosmix.com</a> Search Engine</li>
				<li>
						<a >T-Mobile SDA</a> Cellular Phone</li>
				<li>
						<a >Asus A8N32-SLI Deluxe</a> Motherboard</li>
				<li>
						<a >Dell UltraSharp 3007WFP</a> 30-Inch Wide-Screen LCD Monitor</li>
				<li>
						<a >Meebo (alpha)</a> Instant Messaging</li>
				<li>
						<a >Corel Painter IX.5</a> Graphics Software</li>
				<li>
						<a >Samsung LN-S3251D</a> LCD TV</li>
				<li>
						<a >Cerulean Studios Trillian 3.1</a> Instant Messaging Client</li>
				<li>
						<a  target="_blank">Rhapsody</a> Online Music</li>
				<li>
						<a >In2M Mvelopes Personal 3</a> Online Budgeting</li>
				<li>
						<a >Canon Pixma IP6600D</a> Photo Printer</li>
				<li>
						<a >EMC Retrospect Professional 7.5</a> Backup Software</li>
				<li>
						<a >Yahoo Music Engine 1.1</a> Digital Audio Site/Software</li>
				<li>
						<a >Network Magic</a> Home Networking</li>
				<li>
						<a >Z-Wave</a> Home Automation</li>
				<li>
						<a >BitDefender 9 Standard</a> Antivirus</li>
				<li>
						<a >Sage Software Simply Accounting Basic 13</a> Small-Business Finance</li>
				<li>
						<a >Flickr</a> Photo-Sharing Site</li>
				<li>
						<a >Nero 7 Ultra Edition</a> CD/DVD Burning</li>
				<li>
						<a  target="_blank">Nuance Dragon NaturallySpeaking 8</a> Voice Recognition</li>
				<li>
						<a >Kodak EasyShare Gallery </a> Photo Printing Service</li>
				<li>
						<a >EvDO</a> Wireless Broadband</li>
				<li>
						<a >LaCie d2 Hard Drive Serial ATA</a> External Hard Drive</li>
				<li>
						<a >HP Md5880n</a> DLP TV</li>
				<li>
						<a >Qnext 2</a> P-to-P Communications</li>
				<li>
						<a  target="_blank">Salling Clicker 3</a> Presentation Remote</li>
				<li>
						<a >Epson Perfection V700 Photo</a> Scanner</li>
				<li>
						<a  target="_blank">Mindjet MindManager Pro 6</a> Data-Organizing Software</li>
				<li>
						<a >Microsoft Xbox 360</a> Game Console</li>
				<li>
						<a  target="_blank">iRiver Clix</a> Digital Audio/Video Player</li>
				<li>
						<a >Fujifilm FinePix E900</a> Point-and-Shoot Digital Camera</li>
				<li>
						<a >nVidia GeForce 7900 GTX </a> GPU</li>
				<li>
						<a >Del.icio.us</a> Social Networking</li>
				<li>
						<a >Serious Magic Ovation</a> PowerPoint Add-On</li>
				<li>
						<a >WordPress</a> Blogging Tool</li>
				<li>
						<a >Amazon A9 Toolbar</a> Search Toolbar</li>
				<li>
						<a >ThinkFree Office Online</a> Online Office Suite</li>
				<li>
						<a >Greasemonkey</a> Firefox Extension</li>
				<li>
						<a >NewsGator FeedDemon 2</a> RSS Reader</li>
				<li>
						<a >Sysinternals Rootkit Revealer 1.7</a> Antispyware</li>
		</ol>
		<b>
				<span> The 100 Best Products of the Year</span>
		</b>
<img src ="http://www.aygfsteel.com/jimmyljb/aggbug/58756.html" width = "1" height = "1" /><br><br><div align=right><a style="text-decoration:none;" href="http://www.aygfsteel.com/jimmyljb/" target="_blank">jimmyljb</a> 2006-07-18 15:05 <a href="http://www.aygfsteel.com/jimmyljb/archive/2006/07/18/58756.html#Feedback" target="_blank" style="text-decoration:none;">鍙戣〃璇勮</a></div>]]></description></item></channel></rss>   <footer>
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