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<channel>
	<title>nss &amp;laquo; WordPress.com Tag Feed</title>
	<link>http://en.wordpress.com/tag/nss/</link>
	<description>Feed of posts on WordPress.com tagged "nss"</description>
	<pubDate>Tue, 01 Dec 2009 16:01:36 +0000</pubDate>

	<generator>http://en.wordpress.com/tags/</generator>
	<language>en</language>

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<title><![CDATA[The Google Story]]></title>
<link>http://benqlicious.wordpress.com/2009/11/19/the-google-story/</link>
<pubDate>Thu, 19 Nov 2009 21:00:36 +0000</pubDate>
<dc:creator>denvErr</dc:creator>
<guid>http://benqlicious.wordpress.com/2009/11/19/the-google-story/</guid>
<description><![CDATA[O animatie realizata de Nick Scott Studio, ce relateaza cei 11 ani de existenta Google, o companie d]]></description>
<content:encoded><![CDATA[O animatie realizata de Nick Scott Studio, ce relateaza cei 11 ani de existenta Google, o companie d]]></content:encoded>
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<item>
<title><![CDATA[Are you satisfied with your university?]]></title>
<link>http://studentsmatter.wordpress.com/2009/11/16/are-you-satisfied-with-your-university/</link>
<pubDate>Mon, 16 Nov 2009 22:54:53 +0000</pubDate>
<dc:creator>danielle1city</dc:creator>
<guid>http://studentsmatter.wordpress.com/2009/11/16/are-you-satisfied-with-your-university/</guid>
<description><![CDATA[Majority of students are happy with university The National Student Survey 2009 (NSS) reported a 1% ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><div id="attachment_26" class="wp-caption aligncenter" style="width: 310px"><a href="http://studentsmatter.wordpress.com/files/2009/11/smiley-face.jpg"><img class="size-medium wp-image-26" title="smiley face" src="http://studentsmatter.wordpress.com/files/2009/11/smiley-face.jpg?w=300" alt="" width="300" height="300" /></a><p class="wp-caption-text">Majority of students are happy with university</p></div>
<p><a href="http://www.timeshighereducation.co.uk/story.asp?storycode=407699">The National Student Survey 2009</a> (NSS) reported a <strong>1% drop</strong> in the level of student satisfaction back in August. The figure dropped from last year&#8217;s <strong>82%</strong>.</p>
<p>Not particularly significant, I&#8217;m sure you&#8217;ll agree, however reports pin the dip on the increase in tuition fees.</p>
<p>If you get your money&#8217;s worth out of the education you get, does the amount you pay <em>really</em> matter? Or are fees still ridiculously high even if you attend an establishment like Oxbridge?</p>
<p>Also, can any of the unsatisfaction come from the look of the university, e.g. if its old-fashioned or not in the country? Do factors like that contribute towards students satisfaction of their university experience and is it purely education that the survey is based on or the whole package?</p>
<p>As pointed out by a reader&#8217;s comments on <a href="http://www.guardian.co.uk/education/2009/aug/06/national-student-survey-satisfaction">The Guardian&#8217;s</a> report, the students who are unsatisfied with their university may be the students who are <em>failing </em>their degree.</p>
<p>So, how satisfied are you all with your universities?</p>
<p>Feel free to leave comments and in the meantime, I&#8217;ll be doing abit of researching myself.</p>
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<title><![CDATA[Cave Diving News]]></title>
<link>http://tecrec.wordpress.com/2009/11/16/cave-diving-news/</link>
<pubDate>Mon, 16 Nov 2009 09:41:19 +0000</pubDate>
<dc:creator>TekScep</dc:creator>
<guid>http://tecrec.wordpress.com/2009/11/16/cave-diving-news/</guid>
<description><![CDATA[The National Speological Society – Cave Diving Section (NSS-CDS) officially wrote into the minutes o]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><img class="alignleft size-full wp-image-604" title="Cave Dive" src="http://tecrec.wordpress.com/files/2009/11/cave-dive1.jpg" alt="Cave Dive" width="450" height="284" /></p>
<p>The National Speological Society – <a href="http://www.nsscds.org/test/drupal/index.php">Cave Diving Section (NSS-CDS)</a> officially wrote into the minutes of the Training Committee Meeting held this month recognition of the PADI Cavern Diver course.  In addition, the Training Committee approved a proposal to develop a pre approved outline for NSS Instructor members who hold PADI MSDT certification to download and apply for the new <a href="http://tecrec.wordpress.com/2009/08/26/tecrec-cave-diver/">PADI Cave Diver </a>Distinctive Specialty which was unveiled at the DEMA show.</p>
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<title><![CDATA[Are you part of the 'NSS'? well I hope for you that you're not...]]></title>
<link>http://themiscellaneousmusingsofj.wordpress.com/2009/11/16/are-you-part-of-the-nss-well-i-hope-for-you-that-youre-not/</link>
<pubDate>Mon, 16 Nov 2009 09:20:16 +0000</pubDate>
<dc:creator>Jayohwhyseaee</dc:creator>
<guid>http://themiscellaneousmusingsofj.wordpress.com/2009/11/16/are-you-part-of-the-nss-well-i-hope-for-you-that-youre-not/</guid>
<description><![CDATA[This is quite random, but writer BEASTmode from akp wrote in an article: &#8216;NSS (Netizens Stalke]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>This is quite random, but writer BEASTmode from akp wrote in an article: &#8216;NSS (Netizens Stalker Society) that specializes in demeaning Korean celebrities for the sake of salvaging their own dying self-esteem.&#8221; Sort of like the organisation in the awesome K-Drama IRIS, only if you&#8217;re part of this &#8216;NSS&#8217;, it&#8217;s a little sad. The job description is to specialise in digging up a celebrity&#8217;s past life so then they&#8217;re disected to pieces and inspected with microscopes and only when you&#8217;ve burned them till they&#8217;ve got 3rd degree burns have you done your job.</p>
<p>Curiosity might bite at whether celebrities had surgery done or what not, and the rage is all about &#8216;natural&#8217; looks&#8230;but who doesn&#8217;t want to look beautiful naturally?  If you cancel out the new technology that apparently allows people to pick out genes for their new borns,<em> naturally</em> the gene pool from how we&#8217;ll look is by the process of Meiosis.  When you enter an industry where one of the primary focuses is looks, if you&#8217;re not beautiful naturally, well, the purpose of plastic surgery is there so then people can feel better about themselves and how they feel people look at them. You udergo plastic surgery at your own risk, but if you have the money and if it means your self-esteem will be higher and you&#8217;re willing to take that risk&#8230;*shrug* why not?</p>
<p>I know that celebrities seem to live in &#8216;another world&#8217; from &#8216;normal&#8217; day to day citizens, but in the end, they&#8217;re humans too, aren&#8217;t they?!  People expect them to be &#8216;perfect&#8217; because they&#8217;re now &#8216;idols&#8217; to many, and what, because they&#8217;re idols now a thorough check-up of their background must be done before netizens can deem this idol can retain their status? Ok, perhaps, maybe if they were head of a deadly feared clan, then you should be a little (if not a lot) cautious, but most aren&#8217;t. Most of the time, why can&#8217;t we just appreciate them for who they are <em>now</em>, because most people change as they age[sometimes for good or bad], instead of trying to dig up their past and forcefully stuffing them into a grave?</p>
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<title><![CDATA[Higher ambitions...]]></title>
<link>http://registrarism.wordpress.com/2009/11/04/higher-ambitions/</link>
<pubDate>Wed, 04 Nov 2009 07:58:06 +0000</pubDate>
<dc:creator>Paul</dc:creator>
<guid>http://registrarism.wordpress.com/2009/11/04/higher-ambitions/</guid>
<description><![CDATA[New HE Framework Follow up to earlier post on HE as food-labelling: Lord Mandelson has launched High]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><strong>New HE Framework</strong></p>
<p>Follow up to earlier post on <a href="http://registrarism.wordpress.com/2009/11/02/higher-education-as-food-labelling/">HE as food-labelling</a>: </p>
<p>Lord Mandelson has launched <a href="http://www.bis.gov.uk/policies/higher-ambitions">Higher Ambitions</a>. There&#8217;s a lot in here and much of it yet to be fully fleshed out. And the much trailed element on improved consumer information still requires some work:</p>
<p><img src="http://registrarism.wordpress.com/files/2009/11/higher-ambitions.png?w=221" alt="Higher ambitions" title="Higher ambitions" width="221" height="300" class="alignnone size-medium wp-image-1368" /></p>
<blockquote><p>A<strong>ll universities should publish a standard set of information setting out what students can expect in terms of the nature and quality of their programme.</strong></p>
<p>This should set out how and what students will learn, what that knowledge will qualify them to do, whether they will have access to external expertise or experience, how much direct contact there will be with academic staff, what their own study responsibilities will be, what facilities they will have access to, and any opportunities for international experience. It should also offer information about what students on individual courses have done after graduation. The Unistats website will continue to bring together information in a comparable way so that students can make well-informed informed [sic] choices, based on an understanding of the nature of the teaching programme they can expect, and the long-term employment prospects it offers. We will invite HEFCE, the Quality Assurance Agency for Higher Education (QAA) and UKCES to work with the sector and advise on how these goals should be achieved.</p></blockquote>
<p>Hmmm. Should be an interesting consultation.</p>
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<item>
<title><![CDATA[21 years before and after the operation cactus]]></title>
<link>http://unix1987.wordpress.com/2009/11/04/21-years-after-operation-cactus/</link>
<pubDate>Wed, 04 Nov 2009 07:41:40 +0000</pubDate>
<dc:creator>unix1987</dc:creator>
<guid>http://unix1987.wordpress.com/2009/11/04/21-years-after-operation-cactus/</guid>
<description><![CDATA[Personnel of the Indian Marine Strike Force (IMSF) - now known as the Marine Commando Force or MARCO]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><div class="mceTemp mceIEcenter">
<div class="mceTemp mceIEcenter">
<div id="attachment_121" class="wp-caption aligncenter" style="width: 510px"><img class="size-full wp-image-121" title="nss8" src="http://unix1987.wordpress.com/files/2009/11/nss81.jpg" alt="nss8" width="500" height="378" /><p class="wp-caption-text">Personnel of the Indian Marine Strike Force (IMSF) - now known as the Marine Commando Force or MARCOS - guard the commander of hijackers after boarding the ship.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div><br />
<div id="attachment_122" class="wp-caption aligncenter" style="width: 510px"><img class="size-full wp-image-122" title="untitled" src="http://unix1987.wordpress.com/files/2009/11/untitled.jpg" alt="untitled" width="500" height="339" /><p class="wp-caption-text">Personnel for the 50 Ind Para Bde and local militia men with a PLOTE miliant under arrest.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div></p>
<dl class="wp-caption aligncenter">
<dt class="wp-caption-dt"><img class="size-full wp-image-115" title="nss" src="http://unix1987.wordpress.com/files/2009/11/nss.jpg" alt="nss" width="400" height="280" /></dt>
<dd class="wp-caption-dd">Bullet riddled walls of the Malivian National Security Service (NSS) head quarters which was attacked by PLOTE invaders.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</dd>
</dl>
</div>
<div id="attachment_116" class="wp-caption aligncenter" style="width: 510px"><img class="size-full wp-image-116" title="nss2" src="http://unix1987.wordpress.com/files/2009/11/nss2.jpg" alt="nss2" width="500" height="375" /><p class="wp-caption-text">Security forces at the NSS compoud after it was secured. The 4x4 is a Suzuki Jimny belonging to Maldives.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div><br />
<div id="attachment_117" class="wp-caption aligncenter" style="width: 510px"><img class="size-full wp-image-117" title="nss3" src="http://unix1987.wordpress.com/files/2009/11/nss3.jpg" alt="nss3" width="500" height="435" /><p class="wp-caption-text">Indian Army troops at the NSS HQ. © India Today/Elite Force of India and Pakistan (http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div><br />
<div id="attachment_118" class="wp-caption aligncenter" style="width: 410px"><img class="size-full wp-image-118" title="nss4" src="http://unix1987.wordpress.com/files/2009/11/nss4.jpg" alt="nss4" width="400" height="244" /><p class="wp-caption-text">Attack underway on the escaping vessel MV Progress Light with the hijackers and hostages.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div><br />
<div id="attachment_119" class="wp-caption aligncenter" style="width: 510px"><img class="size-full wp-image-119" title="nss6" src="http://unix1987.wordpress.com/files/2009/11/nss6.jpg" alt="nss6" width="500" height="250" /><p class="wp-caption-text">Smoke blows from the ship under siege by the Indian Navy.(source: http://vayu-sena-aux.tripod.com/gallery-operation-cactus-maldives.html)</p></div>
<dl class="wp-caption aligncenter">
<dt class="wp-caption-dt"><img class="size-medium wp-image-112  " title="DSC00244" src="http://unix1987.wordpress.com/files/2009/11/dsc002441.jpg?w=300" alt="DSC00244" width="300" height="225" /></dt>
<dd class="wp-caption-dd">Republic squre of Maldives in Male&#8217;. This is the area where the PLOT members started attacking the headquarters of National Security Service of the Maldives 21 years ago. In november 3rd, 1988 </dd>
</dl>
</div>
</div>]]></content:encoded>
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<title><![CDATA[gh spine_nss::.]]></title>
<link>http://nonstandardstudio.wordpress.com/2009/11/04/gh-spine_nss/</link>
<pubDate>Wed, 04 Nov 2009 01:35:11 +0000</pubDate>
<dc:creator>Bolojan Daniel</dc:creator>
<guid>http://nonstandardstudio.wordpress.com/2009/11/04/gh-spine_nss/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[]]></content:encoded>
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<title><![CDATA[gh_floral entities_parametric urbanism 001_nss::.]]></title>
<link>http://nonstandardstudio.wordpress.com/2009/11/01/gh_floral-entities_parametric-urbanism-001_nss/</link>
<pubDate>Sun, 01 Nov 2009 15:39:28 +0000</pubDate>
<dc:creator>Bolojan Daniel</dc:creator>
<guid>http://nonstandardstudio.wordpress.com/2009/11/01/gh_floral-entities_parametric-urbanism-001_nss/</guid>
<description><![CDATA[work in progress&#8230;I&#8217;ll keep you posted with the design process&#8230;]]></description>
<content:encoded><![CDATA[work in progress&#8230;I&#8217;ll keep you posted with the design process&#8230;]]></content:encoded>
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<item>
<title><![CDATA[gh ornament_nss::.]]></title>
<link>http://nonstandardstudio.wordpress.com/2009/10/29/gh-ornament_nss/</link>
<pubDate>Thu, 29 Oct 2009 12:22:32 +0000</pubDate>
<dc:creator>Bolojan Daniel</dc:creator>
<guid>http://nonstandardstudio.wordpress.com/2009/10/29/gh-ornament_nss/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[]]></content:encoded>
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<title><![CDATA[gh magnetic field vs surface hair_nss::.]]></title>
<link>http://nonstandardstudio.wordpress.com/2009/10/27/gh-magnetic-field-vs-surface-hair_nss/</link>
<pubDate>Tue, 27 Oct 2009 02:18:21 +0000</pubDate>
<dc:creator>Bolojan Daniel</dc:creator>
<guid>http://nonstandardstudio.wordpress.com/2009/10/27/gh-magnetic-field-vs-surface-hair_nss/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[]]></content:encoded>
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<title><![CDATA[利用圖像尋找非實根]]></title>
<link>http://johnmayhk.wordpress.com/2009/10/26/finding-unreal-roots-by-graph/</link>
<pubDate>Mon, 26 Oct 2009 12:24:23 +0000</pubDate>
<dc:creator>johnmayhk</dc:creator>
<guid>http://johnmayhk.wordpress.com/2009/10/26/finding-unreal-roots-by-graph/</guid>
<description><![CDATA[在高中一 NSS 數學課，我開始教二次圖像和二次方程之根（roots）的關係。現在課程涉及複數，卻沒有教如何利用圖像尋找複根（complex roots）或非實根（unreal roots），我在此補]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>在高中一 NSS 數學課，我開始教二次圖像和二次方程之根（roots）的關係。現在課程涉及複數，卻沒有教如何利用圖像尋找複根（complex roots）或非實根（unreal roots），我在此補充一下。</p>
<p>以下是在下用極速粗製濫造的 ETV，同學先看看：</p>
<p><span style='text-align:center; display: block;'><object width='425' height='350'><param name='movie' value='http://www.youtube.com/v/xcsphaMANws&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' /><param name='allowfullscreen' value='true' /><param name='wmode' value='transparent' /><embed src='http://www.youtube.com/v/xcsphaMANws&#038;rel=1&#038;fs=1&#038;showsearch=0&#038;hd=0' type='application/x-shockwave-flash' allowfullscreen='true' width='425' height='350' wmode='transparent'></embed></object></span></p>
<p>解說：<!--more--></p>
<p>（甲）二次方程的情況</p>
<p>若 <img src='http://l.wordpress.com/latex.php?latex=ax%5E2+%2B+bx+%2B+c+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='ax^2 + bx + c = 0' title='ax^2 + bx + c = 0' class='latex' /> 的複根是 <img src='http://l.wordpress.com/latex.php?latex=h+%5Cpm+ik&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h \pm ik' title='h \pm ik' class='latex' />，則</p>
<p><img src='http://l.wordpress.com/latex.php?latex=ax%5E2+%2B+bx+%2B+c&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='ax^2 + bx + c' title='ax^2 + bx + c' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%5Cequiv+a%28x+-+h+-+ik%29%28x+-+h+%2B+ik%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\equiv a(x - h - ik)(x - h + ik)' title='\equiv a(x - h - ik)(x - h + ik)' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%5Cequiv+a%28%28x+-+h%29%5E2+%2B+k%5E2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\equiv a((x - h)^2 + k^2)' title='\equiv a((x - h)^2 + k^2)' class='latex' /> &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; (*)</p>
<p>由 (*) 可見</p>
<p><img src='http://l.wordpress.com/latex.php?latex=y+%3D+ax%5E2+%2B+bx+%2B+c&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = ax^2 + bx + c' title='y = ax^2 + bx + c' class='latex' /> 的圖像，其頂點（vertex）的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' />-坐標是 <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' />，而 <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' /> 就是複根的實部（real part）。</p>
<p>另外，由 (*) 可知 <img src='http://l.wordpress.com/latex.php?latex=y+%3D+ax%5E2+%2B+bx+%2B+c&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = ax^2 + bx + c' title='y = ax^2 + bx + c' class='latex' /> 的圖像，其頂點的 <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' />-坐標是 <img src='http://l.wordpress.com/latex.php?latex=ak%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='ak^2' title='ak^2' class='latex' />（即片中的 <img src='http://l.wordpress.com/latex.php?latex=m+%3D+ak%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m = ak^2' title='m = ak^2' class='latex' />）；</p>
<p>考慮在二次曲線上的一點 <img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' />，其 <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' />-坐標為 <img src='http://l.wordpress.com/latex.php?latex=y_1+%3D+2ak%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y_1 = 2ak^2' title='y_1 = 2ak^2' class='latex' />，那麼 <img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' /> 的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' />-坐標 <img src='http://l.wordpress.com/latex.php?latex=x_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x_1' title='x_1' class='latex' /> 是什麼？</p>
<p>只要把 <img src='http://l.wordpress.com/latex.php?latex=y+%3D+2ak%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = 2ak^2' title='y = 2ak^2' class='latex' /> 代入 <img src='http://l.wordpress.com/latex.php?latex=y+%3D+a%28%28x+-+h%29%5E2+%2B+k%5E2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = a((x - h)^2 + k^2)' title='y = a((x - h)^2 + k^2)' class='latex' />，得</p>
<p><img src='http://l.wordpress.com/latex.php?latex=2ak%5E2+%3D+a%28%28x_1+-+h%29%5E2+%2B+k%5E2%29+%5CRightarrow+k%5E2+%3D+%28x_1+-+h%29%5E2+%5CRightarrow+k+%3D+%26%23124%3Bx_1+-+h%26%23124%3B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2ak^2 = a((x_1 - h)^2 + k^2) \Rightarrow k^2 = (x_1 - h)^2 \Rightarrow k = &#124;x_1 - h&#124;' title='2ak^2 = a((x_1 - h)^2 + k^2) \Rightarrow k^2 = (x_1 - h)^2 \Rightarrow k = &#124;x_1 - h&#124;' class='latex' /></p>
<p>即是說，複根虛部中的 <img src='http://l.wordpress.com/latex.php?latex=k&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k' title='k' class='latex' />，就是 <img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' /> 的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' />-坐標 <img src='http://l.wordpress.com/latex.php?latex=x_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x_1' title='x_1' class='latex' /> 和 <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' /> 的距離。</p>
<p>（乙）三次方程的情況</p>
<p>這個要中六同學才明白，高中一同學要忍耐一下。</p>
<p>為簡化，只考慮 <img src='http://l.wordpress.com/latex.php?latex=x%5E3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^3' title='x^3' class='latex' /> 係數為 1。</p>
<p>即設 <img src='http://l.wordpress.com/latex.php?latex=x%5E3+%2B+ax%5E2+%2B+bx+%2B+c+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^3 + ax^2 + bx + c = 0' title='x^3 + ax^2 + bx + c = 0' class='latex' />。</p>
<p>首先，實係數三次方程必有實根；若它只有一個實根 <img src='http://l.wordpress.com/latex.php?latex=%5Calpha&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\alpha' title='\alpha' class='latex' />，則設另外兩個複根為 <img src='http://l.wordpress.com/latex.php?latex=h+%5Cpm+ik&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h \pm ik' title='h \pm ik' class='latex' />。</p>
<p>那麼，片中曲線的方程可寫成</p>
<p><img src='http://l.wordpress.com/latex.php?latex=y+%3D+%28x+-+%5Calpha%29%28%28x+-+h%29%5E2+%2B+k%5E2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = (x - \alpha)((x - h)^2 + k^2)' title='y = (x - \alpha)((x - h)^2 + k^2)' class='latex' /> &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; (1)</p>
<p>現在，設經過 <img src='http://l.wordpress.com/latex.php?latex=%28%5Calpha+%2C+0%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(\alpha , 0)' title='(\alpha , 0)' class='latex' /> 並相切於曲線的直線方程為</p>
<p><img src='http://l.wordpress.com/latex.php?latex=y+%3D+m%28x+-+%5Calpha%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = m(x - \alpha)' title='y = m(x - \alpha)' class='latex' /> &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; (2)</p>
<p>假設曲線和直線的切點（point of contact）為 <img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' />，如何證明 <img src='http://l.wordpress.com/latex.php?latex=P&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='P' title='P' class='latex' /> 的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' />-坐標 <img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' /> (say) 就是 <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' />？</p>
<p>我們（想像一下）解 (1)，(2)；我們得</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%28x+-+%5Calpha%29%28%28x+-+h%29%5E2+%2B+k%5E2%29+%3D+m%28x+-+%5Calpha%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x - \alpha)((x - h)^2 + k^2) = m(x - \alpha)' title='(x - \alpha)((x - h)^2 + k^2) = m(x - \alpha)' class='latex' /></p>
<p>易知上式的解為 <img src='http://l.wordpress.com/latex.php?latex=x+%3D+%5Calpha&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x = \alpha' title='x = \alpha' class='latex' /> 或 <img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' />，即</p>
<p><img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' /> 是下式的根，且是重根（repeated root）：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%28x+-+h%29%5E2+%2B+k%5E2+%3D+m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x - h)^2 + k^2 = m' title='(x - h)^2 + k^2 = m' class='latex' /> &#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230; (2)</p>
<p>既是重根，把上述等式求導後，<img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' /> 仍是根（Why？），即 <img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' /> 滿足：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%28x+-+h%29+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x - h) = 0' title='(x - h) = 0' class='latex' /></p>
<p>故 <img src='http://l.wordpress.com/latex.php?latex=h_1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h_1' title='h_1' class='latex' /> 真的是 <img src='http://l.wordpress.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h' title='h' class='latex' />。</p>
<p>由此可見，<img src='http://l.wordpress.com/latex.php?latex=h+%28%3D+h_1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='h (= h_1)' title='h (= h_1)' class='latex' /> 滿足 (2)，故</p>
<p><img src='http://l.wordpress.com/latex.php?latex=k%5E2+%3D+m+%5CRightarrow+k+%3D+%5Csqrt%7Bm%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k^2 = m \Rightarrow k = \sqrt{m}' title='k^2 = m \Rightarrow k = \sqrt{m}' class='latex' /></p>
<p>而片中的 <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7BV%7D%7BH%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{V}{H}' title='\frac{V}{H}' class='latex' /> 不過是切線的斜率，即 <img src='http://l.wordpress.com/latex.php?latex=m+%3D+%5Cfrac%7BV%7D%7BH%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m = \frac{V}{H}' title='m = \frac{V}{H}' class='latex' />。</p>
<p>這裡有一個問題，如果切線的斜率 <img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 是負數，又會怎樣？即出現例如以下情況：</p>
<p><img src="http://johnmayhk.wordpress.com/files/2009/10/20091026gif01.gif"></p>
<p>豈不是不能計出 <img src='http://l.wordpress.com/latex.php?latex=k+%3D+%5Csqrt%7Bm%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='k = \sqrt{m}' title='k = \sqrt{m}' class='latex' />？</p>
<p>同學，試花一點時間先想想。</p>
<p>開估：當我們考慮 <img src='http://l.wordpress.com/latex.php?latex=x%5E3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^3' title='x^3' class='latex' /> 的係數為 1 （或其他正數）時，<img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 一定是正數。</p>
<p>無他，</p>
<p>因為我們考慮的方程是 <img src='http://l.wordpress.com/latex.php?latex=y+%3D+%28x+-+%5Calpha%29%28%28x+-+h%29%5E2+%2B+k%5E2%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = (x - \alpha)((x - h)^2 + k^2)' title='y = (x - \alpha)((x - h)^2 + k^2)' class='latex' />；</p>
<p>故此，</p>
<p>代入大於 <img src='http://l.wordpress.com/latex.php?latex=%5Calpha&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\alpha' title='\alpha' class='latex' /> 的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' /> 值，對應的 <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' /> 值為正。（即上圖是沒有能的）<br />
代入小於 <img src='http://l.wordpress.com/latex.php?latex=%5Calpha&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\alpha' title='\alpha' class='latex' /> 的 <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' /> 值，對應的 <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' /> 值為負。</p>
<p>這就保證了 <img src='http://l.wordpress.com/latex.php?latex=m+%26%2362%3B+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m &gt; 0' title='m &gt; 0' class='latex' />。</p>
</div>]]></content:encoded>
</item>
<item>
<title><![CDATA[NSS - Phoenix Chapter Meeting - Saturday 24 October]]></title>
<link>http://nssphoenix.wordpress.com/2009/10/20/nss-phoenix-chapter-meeting-saturday-24-october/</link>
<pubDate>Tue, 20 Oct 2009 15:51:37 +0000</pubDate>
<dc:creator>drdave</dc:creator>
<guid>http://nssphoenix.wordpress.com/2009/10/20/nss-phoenix-chapter-meeting-saturday-24-october/</guid>
<description><![CDATA[The next meeting of the Phoenix Chapter of the National Space Society will be this coming Saturday a]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>The next meeting of the Phoenix Chapter of the National Space Society will be this coming Saturday at 11:00 AM at the <a href="http://www.asu.edu/map/pdf/asu_map_tempe_2008.pdf">Noble Library</a> (quadrant 5E on the map, on McCalister Mall, about two blocks west of the light rail station near Tyler St).</p>
<p>It will be held in conjunction with the <a href="http://www.examiner.com/x-19827-Phoenix-Science-News-Examiner~y2009m8d28-The-School-of-Earth-and-Space-Exploration-Day-comes-to-Arizona-State-University-October-24-2009">Earth and Space Exploration Day at ASU</a> (10:00 AM &#8211; 4:00 PM).  </p>
<p>The agenda will cover:</p>
<p>1.  Welcome</p>
<p>2.  More arrangements for Holiday Party.  It will be either December 5th or 12th.  It will be held at Dave Fischer&#8217;s house.  We need the physical directions and map to Dave&#8217;s house.  The time will be from 5pm-?.  Veronica Ann is collecting names and what people are bringing.  Please email her at:  Veronica.Zabala@NSS.org with your RSVP and what you are bringing.  There will be a 50/50 raffle at this party!  All tickets are as follows:</p>
<p>$1.00 each ticket</p>
<p>$5.00 for 6 tickets</p>
<p>Everyone is encouraged to participate in this raffle.  50% of the proceeds go to the NSS Phoenix Chapter !!!</p>
<p>3.  We are currently accepting applications for the following NSS Phoenix Chapter Positions:</p>
<p>Educational Outreach Officer<br />
Media/PR Officer<br />
Recruitment Officer<br />
IT Officer</p>
<p>Please email <a href="mailto:Veronica.Zabala@NSS.org">Veronica Ann</a> if you are interested.</p>
<p>4.  We are currently seeking Speakers at our January 2010 Chapter Meeting.  Sian Proctor had indicated that she would be interested in giving a talk based on her experiences getting into the Astronaut Corps.  Is she still interested and what dates is she available?</p>
<p>5.  All Chapter Members are encouraged to seek donations and sponsors for the chapter.  If you are interested in helping out, please contact Veronica Ann.  We need to start earning revenue for our Chapter to promote education outreach as well as to alleviate costs for upcoming field trips.  It is the Chapter President&#8217;s hope to also create a scholarship for those interested in going to ISDC 2010.</p>
<p>6.  Who is going to ISDC 2010.  Thus far, the Chapter President is going and would like to know who else is going?</p>
<p>7.  Yuri&#8217;s Night 2010:  Veronica Ann would like to hold an organizational meeting sometime in January 2010 for the NSS Phoenix Chapter to hold a Yuri&#8217;s Night 2010 in the Phoenix Region.  We would like to invite the following NSS Affiliates to participate:</p>
<p>The Mars Society<br />
The Planetary Society<br />
The National Space Society<br />
SEDS<br />
AIAA<br />
The Moon Society</p>
<p>We need to find a place we can hold the event.  Either at a local science center or at a college/university.  Does anyone have any ideas?</p>
<p>8.  Donate Sci-Fi books!  Veronica Ann is collecting all Sci-Fi books to loan schools to promote reading (especially in Science Fiction).  If you have any Sci-Fi books that you no longer need, please contact Veronica Ann.</p>
<p>9.  All NSS Phoenix Chapter members need to send the Chapter President their updated contact information by the end of October 2009.  Please included the following in your email:</p>
<p>Name<br />
Mailing Address<br />
Phone Number<br />
Email Address<br />
Please send this information to:  Veronica.Zabala@asu.edu</p>
<p>10.  Chapter website update:</p>
<p>How many people have visited our site<br />
From where are people visiting our site from</p>
<p>Any new developments, new features to the site?</p>
<p>11.  Chapter dues?  Should we begin to incorporate Chapter dues to our Chapter again to help raise funding?  if so, does $5.00 every six months sound like a plan?  we can collect these Chapter dues January 1st  and July 1st of every year.</p>
<p>12.  The NSS Chapter needs to get more involved in schools.  Veronica Ann would like to know who would be interested in giving lectures about human and robotic space exploration?  No experience necessary.  Veronica Ann will train!  Please contact her for more information and the dates that you may be available to give lectures to school children.</p>
<p>13.  Veronica Ann is working to redo the Chapter Bylaws.  If you would like to help out and proof the Bylaws, please let Veronica Ann know.</p>
<p>14.  Next Chapter Meeting will be held on January 30, 2009, from 11AM &#8211; 1PM.  Location TBD.</p>
<p>15.  Q &#38; A session</p>
<p>16.  Reminder that the ASU School of Earth and Space Exploration is holding their Earth &#38; Space Exploration day in front of the Physical Sciences F-wing (across from the library) from 9-3pm.  All members are encouraged to participate in this venue after the meeting.</p>
<p>17.  Meeting adjourned!</p>
</div>]]></content:encoded>
</item>
<item>
<title><![CDATA[1,2,3,4 之後是]]></title>
<link>http://johnmayhk.wordpress.com/2009/10/14/after-1234/</link>
<pubDate>Tue, 13 Oct 2009 23:32:41 +0000</pubDate>
<dc:creator>johnmayhk</dc:creator>
<guid>http://johnmayhk.wordpress.com/2009/10/14/after-1234/</guid>
<description><![CDATA[為讓 NSS 的同學多一點探究，在下嘗試在數學課引入一些活動，其中一個舊活動是「交通擠塞」，見 http://mathforum.org/alejandre/java/jam/Jam.html 當天和]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>為讓 NSS 的同學多一點探究，在下嘗試在數學課引入一些活動，其中一個舊活動是「交通擠塞」，見</p>
<p><a href="http://mathforum.org/alejandre/java/jam/Jam.html" target="blank">http://mathforum.org/alejandre/java/jam/Jam.html</a></p>
<p>當天和同學探究 <img src='http://l.wordpress.com/latex.php?latex=n&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n' title='n' class='latex' /> 對「人」和「最少步數」的關係，易知</p>
<p>當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 1' title='n = 1' class='latex' />，「最少步數」是 3；<br />
當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 2' title='n = 2' class='latex' />，「最少步數」是 8；</p>
<p>隨即，我著同學「估」：當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 3' title='n = 3' class='latex' /> 時，「最少步數」如何？<!--more--></p>
<p>本來我希望透過 Jump 和 Slide 的數目，教同學估計「最少步數」的上下限，再透過直接參與那個遊戲，看看和估計的相差多遠，結果，我那堂是徹底失敗。</p>
<p>遊戲未開始，歐同學已說出：當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 3' title='n = 3' class='latex' />，「最少步數」是 15；</p>
<p>問他的計算方法，原來是純觀察數型</p>
<p>f(1) = 3<br />
f(2) = 8<br />
f(3) = ____</p>
<p>他就是推論到 f(3) = 15。</p>
<p>這不是嚴謹的方式。脫離了「背景」，所謂數型的問題是沒有意義，比如</p>
<p>2,4,8,16,&#8230;</p>
<p>之後是什麼？不知道，根本沒有定義！</p>
<p>不是 32 嗎？不一定。</p>
<p>舉一個舊例子說明：</p>
<p>連起圓周上 <img src='http://l.wordpress.com/latex.php?latex=n&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n' title='n' class='latex' /> 點，得出的對角線把圓最多可分割成 <img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 份；當 <img src='http://l.wordpress.com/latex.php?latex=n&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n' title='n' class='latex' /> = 2,3,4,5 時，<img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 值分別是 2,4,8,16；見下</p>
<p><img src="http://johnng.inscyber.net/mathgif/20060511gif01.gif"></p>
<p>上面就是給了 2,4,8,16 這個數列一個「特殊背景」，於是問：「當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+6&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 6' title='n = 6' class='latex' /> 時，<img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 是什麼？」就有意義了。</p>
<p>那麼，當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+6&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 6' title='n = 6' class='latex' /> 時，<img src='http://l.wordpress.com/latex.php?latex=m&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m' title='m' class='latex' /> 是什麼？是 32 嗎？不是！</p>
<p>且看：</p>
<p><a href="http://johnmayhk.wordpress.com/files/2009/10/20091013gif01.gif"><img src="http://johnmayhk.wordpress.com/files/2009/10/20091013gif01.gif" alt="20091013gif01" title="20091013gif01" width="395" height="391" class="alignnone size-full wp-image-4359" /></a></p>
<p>可見，當 <img src='http://l.wordpress.com/latex.php?latex=n+%3D+6&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n = 6' title='n = 6' class='latex' /> 時，<img src='http://l.wordpress.com/latex.php?latex=m+%3D+31&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='m = 31' title='m = 31' class='latex' />。</p>
<p>那天開始教授等差數列（Arithmetic sequence） ，我問：「1,2,3,4 之後是什麼？」同學當然視之為無聊，亂答之。正中下懷！</p>
<p>f(1) = 1<br />
f(2) = 2<br />
f(3) = 3<br />
f(4) = 4</p>
<p>那麼 f(5) 一定是 5 嗎？甚或，<img src='http://l.wordpress.com/latex.php?latex=f%28x%29+%3D+x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x) = x' title='f(x) = x' class='latex' /> 一定是真的嗎？</p>
<p>不一定。</p>
<p>如果認為，由</p>
<p>f(1) = 1<br />
f(2) = 2<br />
f(3) = 3<br />
f(4) = 4</p>
<p>可推論</p>
<p><img src='http://l.wordpress.com/latex.php?latex=f%28x%29+%3D+x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x) = x' title='f(x) = x' class='latex' /></p>
<p>就是犯了「以偏概全」的謬誤。</p>
<p>比如 </p>
<p><img src='http://l.wordpress.com/latex.php?latex=f%28x%29+%3D+x+%2B+%28x-1%29%28x-2%29%28x-3%29%28x-4%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x) = x + (x-1)(x-2)(x-3)(x-4)' title='f(x) = x + (x-1)(x-2)(x-3)(x-4)' class='latex' /></p>
<p>也可以出現以下效果：</p>
<p>f(1) = 1<br />
f(2) = 2<br />
f(3) = 3<br />
f(4) = 4</p>
<p>但 f(5) 就不是 5 了，而是 5 + (5-1)(5-2)(5-3)(5-4) = 29。</p>
<p>甚至更一般地：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=f%28x%29+%3D+x+%2B+g%28x%29%28x-1%29%28x-2%29%28x-3%29%28x-4%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(x) = x + g(x)(x-1)(x-2)(x-3)(x-4)' title='f(x) = x + g(x)(x-1)(x-2)(x-3)(x-4)' class='latex' />，其中，<img src='http://l.wordpress.com/latex.php?latex=g%28x%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(x)' title='g(x)' class='latex' /> 是任你「天花龍鳳」的函數，一樣有以下效果：</p>
<p>f(1) = 1<br />
f(2) = 2<br />
f(3) = 3<br />
f(4) = 4</p>
<p>當然，如果知道數列的「背景」，比方說：已知以下數列是等差數列，那麼第 5 項是什麼：</p>
<p>1,2,3,4,&#8230;</p>
<p>我們才敢說：1,2,3,4 之後是 5。</p>
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<title><![CDATA[數網，分享]]></title>
<link>http://johnmayhk.wordpress.com/2009/10/08/math-blog/</link>
<pubDate>Thu, 08 Oct 2009 11:56:11 +0000</pubDate>
<dc:creator>johnmayhk</dc:creator>
<guid>http://johnmayhk.wordpress.com/2009/10/08/math-blog/</guid>
<description><![CDATA[昨天和科主任討論到如何教授 function 的概念：domain 和 largest domain，equality of functions 等&#8230;對於剛由中三升高中一的同學，好像有點無]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>昨天和科主任討論到如何教授 function 的概念：domain 和 largest domain，equality of functions 等&#8230;對於剛由中三升高中一的同學，好像有點無從入手之感（是我想得太多嗎？）。在 2005 年的初中數學老師訓練中，討論過把中六七才教的函數概念，教授中一同學的情況（當時，我的難點是：constant function，random function 等），嗯，都是有實戰經驗再說。</p>
<p>順帶一問，書中有一道題：<!--more--></p>
<p>＂It is given that the <img src='http://l.wordpress.com/latex.php?latex=n%5E%7Bth%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n^{th}' title='n^{th}' class='latex' /> term of a sequence is <img src='http://l.wordpress.com/latex.php?latex=T%28n%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='T(n)' title='T(n)' class='latex' />, where <img src='http://l.wordpress.com/latex.php?latex=T%28n%29+%3D+2n+%2B+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='T(n) = 2n + 1' title='T(n) = 2n + 1' class='latex' />. Consider treating <img src='http://l.wordpress.com/latex.php?latex=T%28n%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='T(n)' title='T(n)' class='latex' /> as a function of <img src='http://l.wordpress.com/latex.php?latex=n&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='n' title='n' class='latex' />, write down its domain.＂</p>
<p>大家覺得怎樣？</p>
<p>話說回來，有些初中學生確實可以吸收更多數學知識，那就可以讓他們發掘更多。</p>
<p>數學建模和數學科展，在國內和台灣歷史悠久，累積不少資源，同學有興趣可以找找看。</p>
<p>以前聽聞有關數學建模比賽，參與的都是大專生；我孤陋寡聞，現在才知道連初中一年級也有數學建模比賽，參考</p>
<p><a href="http://www.imohkc.org.hk/bbs04.asp" target="blank">2009 中國青少年數學論壇(香港區)「數學建模小論文比賽」獲獎名單</a></p>
<p>網頁下方有 2008 年數學建模小論文評選活動獲獎作品展示：</p>
<p><a href="http://www.imohkc.org.hk/admin/ewebeditor3.7/uploadfile/20090212121705103.pdf" target="blank">《買賣基金中的奧祕》</a><br />
<a href="http://www.imohkc.org.hk/admin/ewebeditor3.7/uploadfile/20090212122008754.doc" target="blank">《計程車司機如何維持生計》</a></p>
<p>文章作者都是初中同學。看到他們懂「算幾不等式」，並不奇怪。</p>
<p>另外，部分恆隆數學獎的參賽同學（中學生），其數學知識也有研究生的水平。</p>
<p>以下是一群高中學生集體管理的數學網誌，源起是麻省理工學院召集一群高中學生參與的科研工作（參考 <a href="http://web.mit.edu/rsi/www/" target="blank">http://web.mit.edu/rsi/www/</a>）</p>
<p><a href="http://deltaepsilons.wordpress.com/" target="blank">http://deltaepsilons.wordpress.com/</a></p>
<p>他們寫的東西，我只能放在 &#8220;to study list&#8221; 內了，比如下篇由其中一名高中生 Akhil Mathew 寫的：Grothendieck Groups and the Eilenberg Swindle</p>
<p>http://deltaepsilons.wordpress.com/2009/07/12/grothendieck-groups-and-the-eilenberg-swindle/</p>
<p>是專門的。</p>
<p>&#8220;&#8230;write this post partially to help myself understand it better&#8221; 這是不錯的方法，同學，你又會嘗試透過把學到的知識（透過網誌或其他）詳細寫下來，從而可以幫助自己明白更多？</p>
<p>近日高錕教授奪得諾貝爾物理學獎的消息，或可刺激一下港人對科研的「與趣」，但，有志的同學，希望大家抓緊這個容易冷卻下來的熱情，把握學習機會，不純以功利心態，認真對待學問。（係老套 D，但認真的。）</p>
<p>also read the (old) news about ISEF 2009<br />
<a href="http://www.intel.com/pressroom/kits/events/isef2009/" target="blank">http://www.intel.com/pressroom/kits/events/isef2009/</a><br />
<a href="http://www.oc.com.tw/readvarticlen.asp?id=15721" target="blank">http://www.oc.com.tw/readvarticlen.asp?id=15721</a></p>
<p><a href="http://johnmayhk.wordpress.com/files/2009/10/general-public1.jpg"><img src="http://johnmayhk.wordpress.com/files/2009/10/general-public1.jpg" alt="general-public" title="general-public" width="379" height="287" class="alignnone size-full wp-image-4303" /></a></p>
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<title><![CDATA[The World At Night - Report from the Scene]]></title>
<link>http://nssphoenix.wordpress.com/2009/10/03/the-world-at-night-report-from-the-scene/</link>
<pubDate>Sun, 04 Oct 2009 00:47:45 +0000</pubDate>
<dc:creator>drdave</dc:creator>
<guid>http://nssphoenix.wordpress.com/2009/10/03/the-world-at-night-report-from-the-scene/</guid>
<description><![CDATA[The Educational Outreach programs of the National Space Society of Phoenix and the Planetary Society]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>The Educational Outreach programs of the <a href="http://www.nss.org/">National Space Society</a> of Phoenix and the <a href="http://www.planetary.org./home/">Planetary Society</a> participated in today&#8217;s <a href="http://nssphoenix.wordpress.com/2009/09/27/the-world-at-night-nss-phoenix-chapter-meeting-3-october-2009/">The World At Night exhibition at Christown Mall </a>in Phoenix.  </p>
<p>Between 1,000 and 1,500 children and parents stopped by between 10 AM and 3 PM to ask questions, collect trading cards, copies of the Ad Astra magazine, coloring sheets, stickers, decals, bookmarks, photographs and fact sheets from the members.  Activities included making soda straw rockets and mission patches.  Around a hundred soda straw rockets were built and launched.</p>
<p>The <a href="http://www.azchallenger.org/">Challenger Space Center</a> in Peoria brought out their Liquid Nitrogen demonstrations, the Dry Ice Comet, Freeze Dried Ice Cream and the Space Helmet Activity.</p>
<p>The Arizona State University <a href="http://sese.asu.edu/">School of Earth and Space Exploration</a> put on some captivating exhibits including the <a href="http://lroc.sese.asu.edu/">Lunar Reconnaissance Orbiter Camera</a> results from the spacecraft currently orbiting the Moon, and information on <a href="http://marsed.asu.edu/">Mars</a>, <a href="http://asusrl.eas.asu.edu/srlab/research/roboticscamp/index.html">Robotics</a> and <a href="http://www.asu.edu/museums/ns/meteorite.htm">Meteorites</a>.</p>
<table border="0">
<tbody>
<tr valign="top">
<td><img src="http://farm4.static.flickr.com/3497/3978681444_3ec9a1f5b8.jpg" alt="Hard At Work" width="358" height="268" /></p>
<p>Hard At Work</p>
</td>
<td><img src="http://farm4.static.flickr.com/3453/3978683106_f6bd0aa3e1.jpg" alt="LRO Exhibit" width="362" height="271" /></p>
<p>Lunar Reconnaissance Orbiter Exhibit</p>
</td>
</tr>
</tbody>
</table>
</div>]]></content:encoded>
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<title><![CDATA[今天雜記]]></title>
<link>http://johnmayhk.wordpress.com/2009/09/29/today-events/</link>
<pubDate>Tue, 29 Sep 2009 15:02:06 +0000</pubDate>
<dc:creator>johnmayhk</dc:creator>
<guid>http://johnmayhk.wordpress.com/2009/09/29/today-events/</guid>
<description><![CDATA[難以轉化 科主任擬了兩班高中一 M2 的聯測卷，其中有一道題目只有三名學生懂得處理： Given that and are purely imaginary numbers. If , find (t]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><font face="georgia"><font color="green"><b>難以轉化</b></font></p>
<p>科主任擬了兩班高中一 M2 的聯測卷，其中有一道題目只有三名學生懂得處理：</p>
<p>Given that <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' /> and <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' /> are purely imaginary numbers.  If <img src='http://l.wordpress.com/latex.php?latex=%28x+%2B+y%29+%2B+%282x+-+y%29i+%3D+12+-+i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(x + y) + (2x - y)i = 12 - i' title='(x + y) + (2x - y)i = 12 - i' class='latex' />, find (the values of) <img src='http://l.wordpress.com/latex.php?latex=x&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x' title='x' class='latex' /> and <img src='http://l.wordpress.com/latex.php?latex=y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y' title='y' class='latex' />.<!--more--></p>
<p>學生記得：purely imaginary numbers 即 real part 是零（且 imaginary part 非零）；<br />
學生記得：兩個複數相等是對應的 real part 及 imaginary part 相同。</p>
<p>但要轉化到可以解決上題，測驗結果證明，對於剛接觸複數的高中一同學，不易。</p>
<p>上題的啟示，起碼有：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=A+%2B+Bi+%3D+a+%2B+bi&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A + Bi = a + bi' title='A + Bi = a + bi' class='latex' />，<b><font color="red">未必推論</font></b> <img src='http://l.wordpress.com/latex.php?latex=A+%3D+a%2C+B+%3D+b&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A = a, B = b' title='A = a, B = b' class='latex' /></p>
<p>［類似地 <img src='http://l.wordpress.com/latex.php?latex=b%5E2+-+4ac+%26%2362%3B+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b^2 - 4ac &gt; 0' title='b^2 - 4ac &gt; 0' class='latex' />，<b><font color="red">未必推論</font></b> <img src='http://l.wordpress.com/latex.php?latex=ax%5E2+%2B+bx+%2B+c+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='ax^2 + bx + c = 0' title='ax^2 + bx + c = 0' class='latex' /> 有相異實根（distinct real roots）。］</p>
<p>轉化是不易的，我們是教了 <img src='http://l.wordpress.com/latex.php?latex=%28a+%2B+b%29%5E2+%5Cequiv+a%5E2+%2B+2ab+%2B+b%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(a + b)^2 \equiv a^2 + 2ab + b^2' title='(a + b)^2 \equiv a^2 + 2ab + b^2' class='latex' /></p>
<p>但不保證學生解以下方程時：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%5Csqrt%7Bx+-+1%7D+%2B+%5Csqrt%7B3x+-+2%7D+%3D+4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sqrt{x - 1} + \sqrt{3x - 2} = 4' title='\sqrt{x - 1} + \sqrt{3x - 2} = 4' class='latex' /></p>
<p>不會寫出諸如</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%5Csqrt%7Bx+-+1%7D%5E2+%2B+%5Csqrt%7B3x+-+2%7D%5E2+%3D+4%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\sqrt{x - 1}^2 + \sqrt{3x - 2}^2 = 4^2' title='\sqrt{x - 1}^2 + \sqrt{3x - 2}^2 = 4^2' class='latex' /></p>
<p>的錯誤。</p>
<p>對卷時，我又做了少少探究：</p>
<p>「同學，<img src='http://l.wordpress.com/latex.php?latex=a+%2B+bi+%3D+3+%2B+4i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a + bi = 3 + 4i' title='a + bi = 3 + 4i' class='latex' /> 時，<img src='http://l.wordpress.com/latex.php?latex=a&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a' title='a' class='latex' /> 和 <img src='http://l.wordpress.com/latex.php?latex=b&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b' title='b' class='latex' /> 的值，除了（<img src='http://l.wordpress.com/latex.php?latex=a+%3D+3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a = 3' title='a = 3' class='latex' /> &#38; <img src='http://l.wordpress.com/latex.php?latex=b+%3D+4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b = 4' title='b = 4' class='latex' />）外，還有什麼可能性？」<br />
「可以是 <img src='http://l.wordpress.com/latex.php?latex=a+%3D+4i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a = 4i' title='a = 4i' class='latex' />，<img src='http://l.wordpress.com/latex.php?latex=bi+%3D+3+%5CRightarrow+b+%3D+-3i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='bi = 3 \Rightarrow b = -3i' title='bi = 3 \Rightarrow b = -3i' class='latex' />」<br />
「還可以有其他選擇嗎？」<br />
「其中一個是零」（我暗喜，同學開始烎了！）<br />
「對對！比如，<img src='http://l.wordpress.com/latex.php?latex=b+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b = 0' title='b = 0' class='latex' /> 時，<img src='http://l.wordpress.com/latex.php?latex=a&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a' title='a' class='latex' /> 是什麼？」<br />
「<img src='http://l.wordpress.com/latex.php?latex=3+%2B+4i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3 + 4i' title='3 + 4i' class='latex' />」<br />
「對對！那麼，還有沒有其他可能？」<br />
同學們在思考，但放學時間也到。<br />
「嗯，其實有無限可能性的。」</p>
<p><font color="green"><b>化簡</b></font></p>
<p>聯測另一道屬 0.5 分的題目：</p>
<p>Simplify <img src='http://l.wordpress.com/latex.php?latex=i%5E%7B-1007%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='i^{-1007}' title='i^{-1007}' class='latex' />.</p>
<p>不少同學都寫</p>
<p><img src='http://l.wordpress.com/latex.php?latex=i%5E%7B-1007%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='i^{-1007}' title='i^{-1007}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+%5Cfrac%7B1%7D%7Bi%5E%7B1007%7D%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= \frac{1}{i^{1007}}' title='= \frac{1}{i^{1007}}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+%5Cfrac%7B1%7D%7Bi%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= \frac{1}{i^3}' title='= \frac{1}{i^3}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+%5Cfrac%7B1%7D%7B-i%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= \frac{1}{-i}' title='= \frac{1}{-i}' class='latex' /></p>
<p>但也拿不到 0.5 分，「得個桔」，因為欠缺了把答案寫成標準式的一步：</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B-i%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{-i}' title='\frac{1}{-i}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+%5Cfrac%7B1%7D%7B-i%7D+%5Ctimes+%5Cfrac%7Bi%7D%7Bi%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= \frac{1}{-i} \times \frac{i}{i}' title='= \frac{1}{-i} \times \frac{i}{i}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+%5Cfrac%7Bi%7D%7B1%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= \frac{i}{1}' title='= \frac{i}{1}' class='latex' /><br />
<img src='http://l.wordpress.com/latex.php?latex=%3D+i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='= i' title='= i' class='latex' /></p>
<p>學生對於，比方說</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B2+%2B+3i%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{2 + 3i}' title='\frac{1}{2 + 3i}' class='latex' /></p>
<p>轉成標準式反而較易，即</p>
<p><img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7B2+%2B+3i%7D+%3D+%5Cfrac%7B1%7D%7B2+%2B+3i%7D+%5Ctimes+%5Cfrac%7B2+-+3i%7D%7B2+-+3i%7D+%3D+%5Cfrac%7B2+-+3i%7D%7B13%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{2 + 3i} = \frac{1}{2 + 3i} \times \frac{2 - 3i}{2 - 3i} = \frac{2 - 3i}{13}' title='\frac{1}{2 + 3i} = \frac{1}{2 + 3i} \times \frac{2 - 3i}{2 - 3i} = \frac{2 - 3i}{13}' class='latex' /></p>
<p>但 <img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bi%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{i}' title='\frac{1}{i}' class='latex' /> 這個特例卻「不懂」？</p>
<p>或許在同學心中，<img src='http://l.wordpress.com/latex.php?latex=%5Cfrac%7B1%7D%7Bi%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\frac{1}{i}' title='\frac{1}{i}' class='latex' /> 已經夠簡單，何用繼續「simplify」？</p>
<p>之前我建議用：「Express <img src='http://l.wordpress.com/latex.php?latex=i%5E%7B-1007%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='i^{-1007}' title='i^{-1007}' class='latex' /> in standard form of complex number」之類，但科主任擔心如此提問學生不知道 <img src='http://l.wordpress.com/latex.php?latex=i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='i' title='i' class='latex' /> 已是 standard form，這也有道理的。</p>
<p><font color="green"><b>古算題</b></font></p>
<p>午後是我們數學老師們的「專業對話」時間，科主任質疑《九章算術》卷九「勾股」第二十題：</p>
<p><font color="blue"><b>今有邑方不知大小，各中開門。出北門二十步有木。出南門十四步，折而西行一千七百七十五步見木。問邑方幾何？<br />
答曰：二百五十步。<br />
術曰：以出北門步數乘西行步數，倍之，為實。并出南門步數為從法，開方除之，即邑方。</b></font></p>
<p>該題不是用勾股定理解決，何解會歸入「勾股」卷？且「并出&#8230;為從法」何義？以我對中國古算題貧乏不堪的學養，當然對提問啞口無言。唯有匆匆在網上搜尋第 N 手的資料，不獲，盼學者指點迷津。</p>
<p><font color="green"><b>Lesson Checklist</b></font></p>
<p>放學後，漫長的教職員會議內，校長建議我們<b><font color="red">每天每堂</font></b>根據以下 checklist 審視自己課堂，判別該課堂是否好課堂：</p>
<p>&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-<br />
(1) Setting the stage / Readiness to Learn<br />
a. Discipline time<br />
b. Motivation<br />
c. Introduction<br />
d. Linking up the previous lessons<br />
e. Revision / Pre-lesson preparation</p>
<p>(2) Learning &#38; Teaching Strategies<br />
a. T-P interaction<br />
b. P-P interaction<br />
c. High-order questioning<br />
d. Worksheet<br />
e. Use of IT facilities<br />
f. Games<br />
g. Group discussion<br />
h. Peer learning<br />
i. Catering for learners diversity</p>
<p>(3) Consolidation<br />
a. Checking how much students have learned<br />
b. Take home exercise or task</p>
<p>(4) Self Reflection<br />
a. Lesson objectives met?<br />
b. Do you enjoy the lesson?<br />
&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-</p>
<p>校長隨便抽問我校兩名教師楷模：CC 老師和程 sir，結果是大部份 checklist 的細項，他們也做得很好，叫我羨慕不已。</font></p>
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<title><![CDATA[Strategery]]></title>
<link>http://fysa.wordpress.com/2009/09/29/strategery/</link>
<pubDate>Tue, 29 Sep 2009 14:56:28 +0000</pubDate>
<dc:creator>lmd2008</dc:creator>
<guid>http://fysa.wordpress.com/2009/09/29/strategery/</guid>
<description><![CDATA[A recent report had a lot to say on strategy, always the subject of much debate and confusion. On pa]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>A <a href="http://www.csbaonline.org/4Publications/PubLibrary/R.20090901.Regaining_Strategi/R.20090901.Regaining_Strategi.pdf" target="_blank">recent report</a> had a lot to say on strategy, always the subject of much <a href="http://www.youtube.com/watch?v=ptAoJedxFzU" target="_blank">debate and confusion</a>. On page 12 it includes a Top Ten Pitfalls list:</p>
<ol>
<li>Failure to recognize or take seriously the scarcity of resources.</li>
<li>Mistaking strategic goals for strategy.</li>
<li>Failure to recognize or state the strategic problem.</li>
<li>Choosing poor or unattainable strategic goals.</li>
<li>Not defining the strategic challenge competitively.</li>
<li>Making false presumptions about one’s own competence or the likely causal linkages<br />
between one’s strategy and one’s goals.</li>
<li>Insufficient focus on strategy due to such things as trying to satisfy too many different<br />
stakeholders or bureaucratic processes.</li>
<li>Inaccurately determining one’s areas of comparative advantage relative to the opposition.</li>
<li><strong>Failure to realize that few individuals possess the cognitive skills and mindset to be<br />
competent strategists.</strong></li>
<li>Failure to understand the adversary.</li>
</ol>
<p>A lot can be said about how we strategize. I&#8217;m pretty confused as to why the <a href="http://www.defenselink.mil/qdr/" target="_blank">Quadrennial Defense Review</a> (QDR) might well come out after the President&#8217;s new <a href="http://www.acus.org/new_atlanticist/obamas-national-security-strategy-unfolding" target="_blank">National Security Strategy</a>. I&#8217;m sure there is some exchange going on between the two efforts, but there is no formal linkage or flow.  A lot can be said for a prescribed timeline that forces long view thinking and actions to flow from them. Furthermore, this shouldn&#8217;t just be a DoD thing but an interagency mandate, promoting a whole of government approach. With the State Department conducting its own QDResque, <a href="http://blogs.state.gov/index.php/entires/quadrennial_diplomacy_and_development_review/" target="_blank">Quadrennial Diplomacy and Development Review (QDDR)</a>, this is encouraging. Overall, I wish it was tied to appropriations, forcing the power of the purse to think more strategically.</p>
<p>Three points on number 9 though. First, number 9 makes me think of <a href="http://en.wikipedia.org/wiki/Ender%27s_Game" target="_blank">Ender&#8217;s Game</a>, where prodigies in strategic thought are chosen at an early age to fight in a war. How do you even measure this? Second, while the government should try and get the &#8220;best and the brightest&#8221; it should also remember that being a democracy means politicians, who haven&#8217;t always had the best long view, will be the deciders. Any system in place should always factor that in. Third, my use of <a href="http://www.amazon.com/Best-Brightest-David-Halberstam/dp/0449908704">&#8220;best and the brightest&#8221;</a> is deliberate, the smartest people in the room often have the worst ideas.</p>
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<title><![CDATA[Kim Tae Hee's IRIS Profile]]></title>
<link>http://twistedstars.wordpress.com/2009/09/15/kim-tae-hees-iris-profile/</link>
<pubDate>Tue, 15 Sep 2009 11:56:02 +0000</pubDate>
<dc:creator>twistedstars</dc:creator>
<guid>http://twistedstars.wordpress.com/2009/09/15/kim-tae-hees-iris-profile/</guid>
<description><![CDATA[Now that big action drama Iris is about to premiere, here’s a look at Kim Tae-hee in new stills from]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:center;">Now that big action drama Iris is about to premiere, here’s a look at Kim Tae-hee in new stills from the spy show, where she plays the country’s top profiler. As a member of the NSS (the national security agency), she develops romantic storylines with two of her colleagues, played by Lee Byung-heon and Jung Jun-ho. Actress Kim So-yeon rounds out the main love rectangle as a fellow spy.</p>
<p style="text-align:center;"><img class="aligncenter size-full wp-image-12417" title="KTH" src="http://twistedstars.wordpress.com/files/2009/09/kim-tae-hee-0001.jpg" alt="KTH" width="450" height="359" /></p>
<p style="text-align:center;">This is Kim Tae-hee’s first drama in five years; after her 2004 series Love Story in Harvard, she attempted a jump to film with movies like The Restless and Venus and Mars, but both were flops and she was generally panned for the role. Now two years since her last screen performance, hopefully she has better luck here as part of a very solid ensemble cast; aside from Lee Byung-heon and Jung Jun-ho, it also includes Kim Seung-woo and TOP.</p>
<p style="text-align:center;">Iris is planned for 20 episodes with a budget of approximately 20 billion won, and premieres on KBS in October.</p>
<p style="text-align:center;">source: <a href="http://joynews.inews24.com/php/news_view.php?g_menu=700800&#38;g_serial=442628" target="_blank">joy news</a><br />
Translations: <a href="http://www.dramabeans.com/2009/09/iriss-profiler-kim-tae-hee/" target="_blank">dramabeans</a></p>
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<title><![CDATA[jessOrz, the NERD sighting specialist (NSS)]]></title>
<link>http://nerdenergyblog.com/2009/09/14/nss/</link>
<pubDate>Mon, 14 Sep 2009 23:42:09 +0000</pubDate>
<dc:creator>jess0rz</dc:creator>
<guid>http://nerdenergyblog.com/2009/09/14/nss/</guid>
<description><![CDATA[Hellooo, NERDlings. This is jessOrz. I will be blogging here, along with Kristin, Wade, and everyone]]></description>
<content:encoded><![CDATA[Hellooo, NERDlings. This is jessOrz. I will be blogging here, along with Kristin, Wade, and everyone]]></content:encoded>
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<title><![CDATA[Outbond Asmbuh&hellip;]]></title>
<link>http://satrioaja.wordpress.com/2009/09/15/outbond-asmbuh/</link>
<pubDate>Mon, 14 Sep 2009 23:22:23 +0000</pubDate>
<dc:creator>Satrio</dc:creator>
<guid>http://satrioaja.wordpress.com/2009/09/15/outbond-asmbuh/</guid>
<description><![CDATA[Sebelum cerita… keknya lebih becik kalo foto nampang dulu… Oke itu foto utamanya… tampang-tampang ai]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p align="justify">Sebelum cerita… keknya lebih <em>becik</em> kalo foto nampang dulu…</p>
<p align="justify"><a href="http://satrioaja.files.wordpress.com/2009/09/dsc02687.jpg"><img style="border-bottom:0;border-left:0;display:block;float:none;margin-left:auto;border-top:0;margin-right:auto;border-right:0;" src="http://satrioaja.files.wordpress.com/2009/09/dsc02687_thumb.jpg?w=526&#038;h=396" border="0" alt="" width="526" height="396" /></a></p>
<p align="justify">Oke itu foto utamanya… tampang-tampang aib, jadul namun bagus bin gemagus yang biasanya <em>mecucu</em> di kantor meratapi layar monitor dan setumpuk kertas dan <em>urek-urekan</em> laporan… terutama yang pojok kanan sendiri ituh… yang hobinya nanyain “sat? udah sat?” 15 kali sehari setiap pagi… tapi kali ini beda karna bisa sedikit <em>sumringah </em>dan <em>jumawa</em>… mengapa?</p>
<p align="justify">KARENA PADA TANGGAL… AS MBUH LUPA… SEABREG-ABREG STAFF FINANCE DAN FINANCE <em>ABAL-ABAL </em>TELAH SUKSES MENDATANGKAN KERUSUHAN DI SARANA OUTBOND TREE TOP KOPENG!</p>
<p align="justify"><em>*FINANCE ABAL-ABAL merujuk pada Ige dan Luki yang ngga jelas divisi finance ngurusin apa dan gw sendiri divisi IT yang secara semena-mena di masukin ke finance…</em></p>
<p align="justify">Apa yang bisa kita jumpai di Tree Top kopeng ini? Yah secara overall ini adalah sarana outbond… ada <em>menek-menek </em>pohon… titian tali… <em>ngglayut</em> ala tarzan… bergaya spiderman sampe flying fox…</p>
<p align="justify">Sebelum menikmati semua itu… kita di bagi kedalam kelompok-kelompok tertentu ber-15-an kalo ga salah ingat… lalu kita di saingkan dengan yang lain… persaingan ini macem-macem tapi semuanya itu cuman bersifat permainan dan hura-hura…</p>
<p align="justify">Inti dari outbond ini adalah soal kerjasama dan kebersamaan… supaya susah senang di pikul bersama… misalnya saat laporan belom selesai di proses supaya yang pojok kanan itu ngga nanyain terus sampe 15 kali… *sumpel Citra pake bantal…</p>
<p align="justify">Oh ya ini juga sebagai outbond pertama ku sejak gabung di keluarga besar Nusantara Sakti… moga-moga besok-besok masih ada outbond lagi… padahal kmaren swaktu ndaftar sempet ogah-ogah-an… emang pertama karna waktunya mepet dan lagi engga mood aja… tapi berkat ketangkasan dan kelincihan marketingnya… Bu Woro… yang berhasil <span style="text-decoration:line-through;">memaksa sambil nyengkiwing </span>meyakinkan aku… maka akhirnya ayuk aja deh… toh ga rugi…</p>
<p align="justify">Yah semoga anak lantai 3 makin kompak aja deh! Hahahaha!</p>
<p align="justify">Postingan terkait: <a href="http://satrioaja.blogdetik.com/2009/09/14/buber-asmbuh/">http://satrioaja.blogdetik.com/2009/09/14/buber-asmbuh/</a></p>
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<title><![CDATA[Sunday Times League Table]]></title>
<link>http://registrarism.wordpress.com/2009/09/13/sunday-times-league-table-2009/</link>
<pubDate>Sun, 13 Sep 2009 06:35:21 +0000</pubDate>
<dc:creator>Paul</dc:creator>
<guid>http://registrarism.wordpress.com/2009/09/13/sunday-times-league-table-2009/</guid>
<description><![CDATA[Sunday Times League Table is now out The 2010 Sunday Times Good University Guide. Change at the top ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><strong>Sunday Times League Table is now out</strong></p>
<p>The <a href="http://www.timesonline.co.uk/tol/life_and_style/education/sunday_times_university_guide/">2010 Sunday Times Good University Guide</a>. Change at the top but not really &#8220;a year of upheaval&#8221; as billed:</p>
<p>1. Oxford (2)<br />
2. Cambridge (1)<br />
3. Imperial (3)<br />
4. UCL (6)<br />
5. St Andrews (5)<br />
6. Warwick (7)<br />
7. Durham (8)<br />
8. York (9)<br />
9. LSE (4)<br />
10. Bristol (16)<br />
11. Bath (10)<br />
12. Southampton (12)<br />
13. King&#8217;s College London (17)<br />
14. Nottingham (13)<br />
15= Edinburgh (15)<br />
15= Loughborough (11)<br />
17. Exeter (14)<br />
18. Sheffield (19)<br />
19. Lancaster (20)<br />
20= Leicester (18)<br />
20= Birmingham</p>
<p><img src="http://registrarism.wordpress.com/files/2007/08/sheldonian.jpg?w=300" alt="University of Oxford" title="University of Oxford" width="300" height="150" class="alignright size-medium wp-image-358" /></p>
<blockquote><p>The University of Oxford is on something of a winning streak. After a second successive victory over Cambridge in the boat race this year, the university has now knocked its light-blue rival off the top of The Sunday Times university league table for the first time.</p>
<p>This feat, after 11 years in second place, earns Oxford The Sunday Times University of the Year award. It edged narrowly ahead of its principal British rival in a year of upheaval in our league table, prompted by the first research assessments in seven years and the move to measuring teaching quality primarily by levels of student satisfaction expressed through the annual national student survey (NSS).</p></blockquote>
<p>Not really a huge change to the table since last year apart from the diversion of a bit of a boat race going on at the top. Although new NSS scores and 2008 RAE do figure they don&#8217;t seem to have made a big difference. The numbers involved in the survey of Heads and peers, which results in one indicator, aren&#8217;t obviously identified.</p>
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<title><![CDATA[My first NSS math lesson]]></title>
<link>http://johnmayhk.wordpress.com/2009/09/06/my-first-nss-math-lesson/</link>
<pubDate>Sat, 05 Sep 2009 16:01:44 +0000</pubDate>
<dc:creator>johnmayhk</dc:creator>
<guid>http://johnmayhk.wordpress.com/2009/09/06/my-first-nss-math-lesson/</guid>
<description><![CDATA[During the first NSS mathematics lesson in F.4D, I gave my students a piece of worksheet for practic]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><font face="georgia">During the first NSS mathematics lesson in F.4D, I gave my students a piece of worksheet for practicing simple algebraic computation. (Well, I could collect money during the time when they were doing classwork)</p>
<p>Q.1 to 4 are factiorization problems: factorize the following</p>
<p>1. <img src='http://l.wordpress.com/latex.php?latex=1+-+x%5E2%281+-+2x%29%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1 - x^2(1 - 2x)^2' title='1 - x^2(1 - 2x)^2' class='latex' /><br />
2. <img src='http://l.wordpress.com/latex.php?latex=x%5E2+-+35x+%2B+294&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^2 - 35x + 294' title='x^2 - 35x + 294' class='latex' /><br />
3. <img src='http://l.wordpress.com/latex.php?latex=2x%5E2+%2B+6x+-+15z+-+2xy+%2B+5yz+-+5xz&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2x^2 + 6x - 15z - 2xy + 5yz - 5xz' title='2x^2 + 6x - 15z - 2xy + 5yz - 5xz' class='latex' /><br />
4. <img src='http://l.wordpress.com/latex.php?latex=x%5E4y%5E4+%2B+x%5E2y%5E2+%2B+1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x^4y^4 + x^2y^2 + 1' title='x^4y^4 + x^2y^2 + 1' class='latex' /></p>
<p>Then I&#8217;d set the following questions in the worksheet and asked them to hand in as their homework:</p>
<p>5. What is your feeling about mathematics?<br />
6. What is your expectation of mathematics teacher in this acedemic year?<br />
7. What is your expectation on your own about the learning of mathematics?<!--more--></p>
<p>The most interesting question to me is Q.6. And the comments from students are always reminders to me, just share some:</p>
<p>(a) Trying his best to teach us and care about our studies<br />
(b) I expect my teacher can care the poor students (like me), but not just care about the good (good at maths) students<br />
(c) Teach more mathematics skills, give less homework<br />
(d) 我希望數學老師可教多一些課外知識或更難的題目<br />
(e) Fun, can let me learn well<br />
(f) I expect he can teach maths with fun so that everyone concentrate on the lesson<br />
(g) Nothing, but just hope Mr Ng can enjoy himself in his teaching<br />
(h) I don&#8217;t want this maths teacher leave me in the following 2 years<br />
(i) Just leave me alone<br />
&#8230;</p>
<p>At the time of discussion of worksheet, a student, Chan, gave a solution on the &#8216;green-board&#8217; which involved solving equation with complex numbers, his handwriting:</p>
<p><a href="http://johnmayhk.wordpress.com/files/2009/09/04092009208.jpg"><img src="http://johnmayhk.wordpress.com/files/2009/09/04092009208.jpg?w=300" alt="04092009208" title="04092009208" width="300" height="225" class="alignnone size-medium wp-image-4088" /></a></p>
<p>Not bad, right? some students had done PRE-LESSON PREPARATION already, not need to USE teaching schedule to force them to do so..hopefully&#8230;</font></p>
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<title><![CDATA[New Star Soccer 3]]></title>
<link>http://titansoft.wordpress.com/2009/09/05/new-star-soccer-3/</link>
<pubDate>Sat, 05 Sep 2009 09:42:06 +0000</pubDate>
<dc:creator>titansoft</dc:creator>
<guid>http://titansoft.wordpress.com/2009/09/05/new-star-soccer-3/</guid>
<description><![CDATA[New Star Soccer 3 futbolcu olma hayallerinizi sanal dünyaya taşıyor. Oyuna 17 yaşında bir futbolcu o]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><img class="alignnone" src="http://www.gamedujour.com/games/wp-content/uploads/2007/06/new-star-soccer-3-2.png" alt="" width="806" height="632" /></p>
<p>New Star Soccer 3 futbolcu olma hayallerinizi sanal dünyaya taşıyor. Oyuna 17 yaşında bir futbolcu olaraka başlıyorsunuz kendinize bir takım seçiyorsunuz ve o takımın seçmelerine katılıp başarılı olursanız sizi takıma alıyorlar ve maçlara çıkmamaya başlıyorsunuz.Grafik açısından kötü bir oyun olsada oynaması çok zevki bir oyun tüm futbol tutkunlarına öneririz.</p>
<p>Oyunda 10 maç yaptıktan sonra sizden serial code isteyecek biz de size serial code ve oyunu veriyoruz <img src='http://s.wordpress.com/wp-includes/images/smilies/icon_smile.gif' alt=':)' class='wp-smiley' />  :</p>
<p>oyunu indirmek için <a href="http://rapidshare.com/files/34917525/NewStarSoccer3_by_CswI.rar">tıklayın </a></p>
<p>rar şifresi: cswi</p>
<p><a href="http://www.gezginler.net/modules/mydownloads/visit.php?lid=5409">Türkçe yama isterseniz</a></p>
<p>Türkçe yama yüklenmesi sırasında şifre isterse: socceroyun.net</p>
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<title><![CDATA[RideNSS Tour Update 2: Chenga 2/Chenga 57]]></title>
<link>http://ohioskateuniv.wordpress.com/2009/09/02/ridenss-tour-update-2-chenga-2chenga-57/</link>
<pubDate>Wed, 02 Sep 2009 15:00:15 +0000</pubDate>
<dc:creator>ohioskateuniv</dc:creator>
<guid>http://ohioskateuniv.wordpress.com/2009/09/02/ridenss-tour-update-2-chenga-2chenga-57/</guid>
<description><![CDATA[Chenga 2 Click more for the rest. Chenga 57 Chenga 2 Photos Chenga 57 Photos RideNSS Tour Videos Pre]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><div id="attachment_458" class="wp-caption aligncenter" style="width: 330px"><img class="size-full wp-image-458" title="chenga2" src="http://ohioskateuniv.wordpress.com/files/2009/09/chenga21.jpg" alt="Chenga 2" width="320" height="240" /><p class="wp-caption-text">Chenga 2</p></div>
<p>Click more for the rest.<br />
<!--more--></p>
<div id="attachment_459" class="wp-caption aligncenter" style="width: 330px"><img class="size-full wp-image-459" title="chenga57" src="http://ohioskateuniv.wordpress.com/files/2009/09/chenga57.jpg" alt="Chenga 57" width="320" height="240" /><p class="wp-caption-text">Chenga 57</p></div>
<p><a href="http://www.facebook.com/album.php?aid=119145&#38;id=113054091931&#38;ref=mf" target="_self">Chenga 2 Photos</a><br />
<a href="http://www.facebook.com/album.php?aid=119147&#38;id=113054091931&#38;ref=mf" target="_self">Chenga 57 Photos<br />
</a><br />
<a href="http://ridenss.com/#/gallery" target="_self">RideNSS Tour Videos<br />
</a><br />
<strong><em>Previously:<br />
<a rel="bookmark" href="http://ohioskateuniv.wordpress.com/2009/08/28/ridenss-ollies-and-the-flow-update/">RideNSS @ Ollie’s and The Flow Update</a></em></strong></p>
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