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<channel>
	<title>moduli &amp;laquo; WordPress.com Tag Feed</title>
	<link>http://en.wordpress.com/tag/moduli/</link>
	<description>Feed of posts on WordPress.com tagged "moduli"</description>
	<pubDate>Mon, 07 Dec 2009 02:23:24 +0000</pubDate>

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

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<title><![CDATA[compiti algebra]]></title>
<link>http://volta2fmate.wordpress.com/2009/11/26/compiti-algebra-12/</link>
<pubDate>Thu, 26 Nov 2009 13:58:10 +0000</pubDate>
<dc:creator>c.invernizzi</dc:creator>
<guid>http://volta2fmate.wordpress.com/2009/11/26/compiti-algebra-12/</guid>
<description><![CDATA[pag 65 da 59 a 65]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>pag 65 da 59 a 65</p>
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<title><![CDATA[compiti algebra]]></title>
<link>http://volta2emate.wordpress.com/2009/11/19/compiti-algebra-10/</link>
<pubDate>Thu, 19 Nov 2009 20:43:52 +0000</pubDate>
<dc:creator>c.invernizzi</dc:creator>
<guid>http://volta2emate.wordpress.com/2009/11/19/compiti-algebra-10/</guid>
<description><![CDATA[pag 99 dal 6 al 41]]></description>
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<title><![CDATA[compiti moduli]]></title>
<link>http://volta2fmate.wordpress.com/2009/11/19/compiti-moduli/</link>
<pubDate>Thu, 19 Nov 2009 20:43:43 +0000</pubDate>
<dc:creator>c.invernizzi</dc:creator>
<guid>http://volta2fmate.wordpress.com/2009/11/19/compiti-moduli/</guid>
<description><![CDATA[pag 99 dal 6 al 41]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>pag 99 dal 6 al 41</p>
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<title><![CDATA[Fatti anche tu un Tour Virtuale dentro Progetto Nicchia... GRATIS!]]></title>
<link>http://ilprogettonicchia.wordpress.com/2009/11/18/fatti-anche-tu-un-tour-virtuale-dentro-progetto-nicchia-gratis/</link>
<pubDate>Wed, 18 Nov 2009 15:36:18 +0000</pubDate>
<dc:creator>stex80</dc:creator>
<guid>http://ilprogettonicchia.wordpress.com/2009/11/18/fatti-anche-tu-un-tour-virtuale-dentro-progetto-nicchia-gratis/</guid>
<description><![CDATA[Hai già visto il 2° Video di Progetto Nicchia? Spero di sì&#8230; Se non lo hai ancora fatto te lo c]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Hai già visto il 2° Video di <a href="http://www.centroinformazioni.net/progetto-nicchia/script/redirect.php?a=G3DuB7&#38;b=M1KUuh">Progetto Nicchia</a>?</p>
<p>Spero di sì&#8230; Se non lo hai ancora fatto te lo consiglio viviamente.</p>
<p>Ma ti consiglio anche ti vedere questo nuovo Video che ha preparato Daniele, un <strong>Video Extra</strong> che ti permette di fare un vero e proprio <strong>Tour Virtuale</strong> dentro <a href="http://www.centroinformazioni.net/progetto-nicchia/script/redirect.php?a=G3DuB7&#38;b=M1KUuh">Progetto Nicchia</a>.</p>
<p>Ti mostrerà passo passo le schermate che vedrai al momento dell&#8217;acquisto, dalla pagina di vendita (anche se ora non è ancora pronta) fino alla pagina di Paypal per effettuare il pagamento, e ti mostrerà soprattutto <strong>da che cosa è composto il Corso</strong>, quindi vedrai già la pagina da cui potrai scaricare il materiale e come si presenterà ciascun Modulo, con i suoi Manuali e Video.</p>
<p>Vuoi sapere allora qual è il Modulo più importante? E quello più Tecnico, dove ti vengono forniti gli Strumenti per mettere su il tuo Sito in carne e ossa?</p>
<p><strong>Clicca <a href="http://centroinformazioni.ning.com/video/video/show?id=4133412%3AVideo%3A1066">qui</a></strong>:</p>
<p>Accederai direttamente al Video e potrai soddisfare tutta la tua curiosità &#8230;</p>
<p>Buon Tour Virtuale allora!</p>
<p>Stefano</p>
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<item>
<title><![CDATA[&quot;Tirocini Curriculari&quot;: Nuova modulistica]]></title>
<link>http://askpa.wordpress.com/2009/11/18/tirocini-curriculari-nuova-modulistica/</link>
<pubDate>Wed, 18 Nov 2009 15:03:50 +0000</pubDate>
<dc:creator>askpa</dc:creator>
<guid>http://askpa.wordpress.com/2009/11/18/tirocini-curriculari-nuova-modulistica/</guid>
<description><![CDATA[Un avviso molto importante riguarda i moduli per lo svolgimento del tirocinio universitario. A parti]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:center;"><img class="size-full wp-image-1838 aligncenter" title="Logo_con_foto" src="http://www.askpa.it/wp-content/uploads/Logo_con_foto.JPG" alt="Logo_con_foto" width="359" height="248" /></p>
<p>Un avviso molto importante riguarda i moduli per lo svolgimento del tirocinio universitario.</p>
<p>A partire da quest&#8217;anno i vecchi moduli non sono più validi: sottolineamo che in alcuni siti di facoltà sia ancora presente la vecchia erronea (inutile) modulistica.</p>
<p>Tutti i nuovi  moduli sono disponibili alla Pagina Download/Università/Tirocinio: <a href="http://www.askpa.it/?page_id=786">clicca qui</a></p>
<p>Vi riportiamo l&#8217;iter da seguire per la richiesta di &#8220;Tirocini Curriculari&#8221; :</p>
<p>Per lo studente / Tirocinante</p>
<p><strong>Fasi:</strong></p>
<ul>
<li>Lo studente presenta presso la propria Facoltà/Corso di Laurea la <strong><em>Domanda di ammissione al tirocinio</em></strong> </li>
</ul>
<p>Individuata l&#8217;azienda viene predisposto</p>
<ul>
<li>Il <em><strong>Progetto Formativo</strong></em> </li>
</ul>
<p>Prima dell&#8217;avvio dello stage/tirocinio viene ritirato</p>
<ul>
<li>il <em><strong>Registro delle presenze</strong></em></li>
</ul>
<p>Al termine del periodo di stage/tirocinio si rilascia</p>
<ul>
<li>la <em><strong>Certificazione del tirocinio</strong></em> </li>
</ul>
<p>e si prepara</p>
<ul>
<li>una <em><strong>Valutazione del tirocinio da parte dello studente</strong></em>  &#8211; (clicca qui)</li>
<li>il <em><strong>Questionario di valutazione finale per il monitoraggio dell&#8217;attività di tirocinio</strong></em> </li>
</ul>
<p>Al termine dello stage/tirocinio viene presentata:</p>
<p>una <em><strong>Relazione finale</strong></em></p>
<p> </p>
<p><strong>Per info: Ufficio Stage Tirocini di Ateneo</strong></p>
<p>V.le delle Scienze Edificio 2 &#8211; II piano<br />
Tel. +39 091 488381<br />
Fax +39 091 595050<br />
Sito web: <a href="http://www.stage.unipa.it/">www.stage.unipa.it </a><br />
E-mail: <a href="mailto:stage@orientamento.unipa.it">stage@orientamento.unipa.it</a></p>
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<item>
<title><![CDATA[Modulo consenso dei genitori]]></title>
<link>http://matteotti.wordpress.com/2009/10/19/modulo-consenso-dei-genitori/</link>
<pubDate>Mon, 19 Oct 2009 21:26:00 +0000</pubDate>
<dc:creator>matteotti</dc:creator>
<guid>http://matteotti.wordpress.com/2009/10/19/modulo-consenso-dei-genitori/</guid>
<description><![CDATA[Oggi è stato consegnato ai genitori il modulo riguardante il consenso al trattamento di immagini e r]]></description>
<content:encoded><![CDATA[Oggi è stato consegnato ai genitori il modulo riguardante il consenso al trattamento di immagini e r]]></content:encoded>
</item>
<item>
<title><![CDATA[Elezioni Consiglio d'istituto triennio 2009/12]]></title>
<link>http://matteotti.wordpress.com/2009/10/07/elezioni-consiglio-distituto-triennio-200912/</link>
<pubDate>Wed, 07 Oct 2009 18:15:21 +0000</pubDate>
<dc:creator>matteotti</dc:creator>
<guid>http://matteotti.wordpress.com/2009/10/07/elezioni-consiglio-distituto-triennio-200912/</guid>
<description><![CDATA[Per vedere il risultato delle elezioni e quindi i rappresentanti eletti vai qui : http://matteotti.w]]></description>
<content:encoded><![CDATA[Per vedere il risultato delle elezioni e quindi i rappresentanti eletti vai qui : http://matteotti.w]]></content:encoded>
</item>
<item>
<title><![CDATA[Modulo Rinnovo Passaporto Cinese]]></title>
<link>http://italianpanda.wordpress.com/2009/10/02/modulo-rinnovo-passaporto-cinese/</link>
<pubDate>Fri, 02 Oct 2009 23:12:33 +0000</pubDate>
<dc:creator>italianpanda</dc:creator>
<guid>http://italianpanda.wordpress.com/2009/10/02/modulo-rinnovo-passaporto-cinese/</guid>
<description><![CDATA[moduli]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><table style="width:194px;" border="0">
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<td style="background:transparent url('http://picasaweb.google.com/s/c/transparent_album_background.gif') no-repeat scroll left center;height:194px;" align="center"><a href="http://picasaweb.google.com/Kyle.ZhangYe/Moduli?feat=embedwebsite"><img style="margin:1px 0 0 4px;" src="http://lh4.ggpht.com/_X2W-LjqYn6c/SsZsvteUfDE/AAAAAAAAAW0/s2ZSC-yppuc/s160-c/Moduli.jpg" alt="" width="160" height="160" /></a></td>
</tr>
<tr>
<td style="text-align:center;font-family:arial,sans-serif;font-size:11px;"><a style="color:#4D4D4D;font-weight:bold;text-decoration:none;" href="http://picasaweb.google.com/Kyle.ZhangYe/Moduli?feat=embedwebsite">moduli</a></td>
</tr>
</tbody>
</table>
</div>]]></content:encoded>
</item>
<item>
<title><![CDATA[M3.0910 Moduli]]></title>
<link>http://bobcarr.wordpress.com/2009/10/02/m3-0910-moduli/</link>
<pubDate>Fri, 02 Oct 2009 15:25:26 +0000</pubDate>
<dc:creator>bobcarr</dc:creator>
<guid>http://bobcarr.wordpress.com/2009/10/02/m3-0910-moduli/</guid>
<description><![CDATA[Ecco alcuni esercizi sui moduli in aggiunta a quelli del testo. Dall&#8217;eserciziario i numeri: 1.]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Ecco alcuni esercizi sui moduli in aggiunta a quelli del testo.</p>
<p><!--more-->Dall&#8217;eserciziario i numeri:</p>
<p>1.3.1      1)</p>
<p>1.3.2      9)</p>
<p>e poi:</p>
<ol>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cdisplaystyle+%26%23124%3B%5Cfrac%7Bx-3%7D%7B2x%2B1%7D%26%23124%3B%26%2360%3B3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\displaystyle &#124;\frac{x-3}{2x+1}&#124;&lt;3' title='\displaystyle &#124;\frac{x-3}{2x+1}&#124;&lt;3' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cdisplaystyle+%26%23124%3B%5Cfrac%7B10x%5E2-3x-2%7D%7B%28x-1%29%282-x%29%7D%26%23124%3B%26%2360%3B1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\displaystyle &#124;\frac{10x^2-3x-2}{(x-1)(2-x)}&#124;&lt;1' title='\displaystyle &#124;\frac{10x^2-3x-2}{(x-1)(2-x)}&#124;&lt;1' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cdisplaystyle+%26%23124%3Bx%5E2-8x%2B10%26%23124%3B%26%2362%3B3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\displaystyle &#124;x^2-8x+10&#124;&gt;3' title='\displaystyle &#124;x^2-8x+10&#124;&gt;3' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cdisplaystyle+2%26%23124%3Bx%2B4%26%23124%3B%26%2362%3B2x-4&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\displaystyle 2&#124;x+4&#124;&gt;2x-4' title='\displaystyle 2&#124;x+4&#124;&gt;2x-4' class='latex' /></li>
<li><img src='http://l.wordpress.com/latex.php?latex=%5Cdisplaystyle+%26%23124%3B3x%2B2%26%23124%3B-x+%5Cleq+x%5E2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\displaystyle &#124;3x+2&#124;-x \leq x^2' title='\displaystyle &#124;3x+2&#124;-x \leq x^2' class='latex' /></li>
</ol>
</div>]]></content:encoded>
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<item>
<title><![CDATA[Contratti, lettere e moduli d'ufficio]]></title>
<link>http://ingrossocancelleria.wordpress.com/2009/09/23/contratti-lettere-commerciali-e-moduli-dufficio/</link>
<pubDate>Wed, 23 Sep 2009 10:28:02 +0000</pubDate>
<dc:creator>ingrossocancelleria</dc:creator>
<guid>http://ingrossocancelleria.wordpress.com/2009/09/23/contratti-lettere-commerciali-e-moduli-dufficio/</guid>
<description><![CDATA[Software Finson &#8220;5000 contratti e lettere per l&#8217;ufficio&#8221; Oggi vi segnaliamo un pra]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><a href="http://www.quimall.com/qm/index.php?main_page=product_info&#38;cpvvv=161_364_373&#38;products_id=15535"><img src="http://ingrossocancelleria.wordpress.com/files/2009/09/docu_uff.jpg?w=300" alt="docu_uff." title="docu_uff." width="300" height="300" class="aligncenter size-medium wp-image-581" /></a></p>
<h2>Software Finson &#8220;5000 contratti e lettere per l&#8217;ufficio&#8221;</h2>
<p>Oggi vi segnaliamo un pratico strumento utilissimo in ufficio. Si tratta del software della <strong>Finson </strong>&#8220;<em>5000 contratti e lettere per l&#8217;ufficio</em>&#8220;.</p>
<p>Il <strong>software</strong>, facilissimo da usare è un utile strumento che permette di risparmiare tempo e di avere a portata di mano tutti i documenti che ogni giorno siamo costretti a stampare in ufficio.</p>
<p>La suite è comprensiva di <strong>due </strong>software.</p>
<p>Il primo, è una completa raccolta di <strong>modelli di contratti</strong> e di testi di <strong>lettere commerciali</strong>, utili sia per la persona inesperta sia per chi, invece, già competente, può trovarvi forme diverse e magari migliori per esprimersi. </p>
<p>Il secondo software presente nella suite è <strong>moduli per l&#8217;ufficio</strong>, uno strumento utilissimo per compilare in pochi istanti una fattura, un ddt, un ordine, una ricevuta, una scheda cliete, ecc.</p>
<p>Su Quimall è possibile acquistarlo con uno <strong>sconto del 20%</strong>, a € 33.32. Mi sembra un buon prezzo soprattutto se paragonato al gran risparmio di tempo e fatica che comporta ogni volta il dover ricercare tra i file e compilare questi documenti.</p>
</div>]]></content:encoded>
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<item>
<title><![CDATA[Vi facciamo risparmiare]]></title>
<link>http://alcorsistemi.wordpress.com/2009/09/22/vi-facciamo-risparmiare/</link>
<pubDate>Tue, 22 Sep 2009 09:30:08 +0000</pubDate>
<dc:creator>albertobertini</dc:creator>
<guid>http://alcorsistemi.wordpress.com/2009/09/22/vi-facciamo-risparmiare/</guid>
<description><![CDATA[E’ il momento di investire per organizzare in maniera più efficiente la vostra attività, e rendere p]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:justify;">E’ il momento di investire per organizzare in maniera più efficiente la vostra attività, e rendere più efficace la vostra azione di promozione.<br />
<strong>Infolib Gestione saggi e recensioni</strong>, vi permette di gestire in maniera semplice ed organizzata la vostra attività di marketing, con una perfetta gestione delle anagrafiche e del loro profilo di interesse.<br />
<strong>Infolib Gestione saggi e recensioni</strong> offre inoltre una semplice gestione degli invii ed una attenta valutazione dell’efficacia della promozione.<br />
<strong>Infolib Gestione saggi e recensioni</strong> evita così le inutili spedizioni doppie dei saggi ed i mancati invii a referenti sensibili alla vostra azione commerciale dimenticati per cattiva organizzazione.<br />
<strong>Infolib Gestione saggi e recensioni</strong> permette di scegliere i referenti a cui fare gli invii in base ai risultati ottenuti.<br />
<span style="color:#ff0000;">MENO COPIE SAGGIO SPEDITE INUTILMENTE,<br />
PIU’ RECENSIONI PER I VOSTRI LIBRI!</span></p>
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<item>
<title><![CDATA[Geometric structures on 1-manifolds]]></title>
<link>http://lamington.wordpress.com/2009/09/21/geometric-structures-on-1-manifolds/</link>
<pubDate>Tue, 22 Sep 2009 02:17:11 +0000</pubDate>
<dc:creator>Danny Calegari</dc:creator>
<guid>http://lamington.wordpress.com/2009/09/21/geometric-structures-on-1-manifolds/</guid>
<description><![CDATA[A geometric structure on a manifold is an atlas of charts with values in some kind of &#8220;model s]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>A <em>geometric structure</em> on a manifold is an atlas of charts with values in some kind of &#8220;model space&#8221;, and transformation functions taken from some pseudogroup of transformations on the model space. If <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' /> is the model space, and <img src='http://l.wordpress.com/latex.php?latex=G&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G' title='G' class='latex' /> is the pseudo-group, one talks about a <img src='http://l.wordpress.com/latex.php?latex=%28G%2CX%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(G,X)' title='(G,X)' class='latex' />-structure on a manifold <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' />. One usually (but not always) wants <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' /> to be homogeneous with respect to <img src='http://l.wordpress.com/latex.php?latex=G&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G' title='G' class='latex' />. So, for instance, one talks about smooth structures, conformal structures, projective structures, bilipschitz structures, piecewise linear structures, symplectic structures, and so on, and so on. Riemannian geometry does not easily fit into this picture, because there are so few (germs of) isometries of a typical Riemannian metric, and so many local invariants; but Riemannian metrics modeled on a locally symmetric space, with <img src='http://l.wordpress.com/latex.php?latex=G&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G' title='G' class='latex' /> a Lie group of symmetries 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' />, are a very significant example.</p>
<p>Sometimes the abstract details of a theory are hard to grasp before looking at some fundamental examples. The case of geometric structures on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds is a nice example, which is surprisingly rich in some ways.</p>
<hr />One of the most important ways in which geometric structures arise is in the theory of ODE&#8217;s. Consider a first order ODE in one variable, e.g. an equation like <img src='http://l.wordpress.com/latex.php?latex=y%27+%3D+f%28y%2Ct%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039; = f(y,t)' title='y&#039; = f(y,t)' class='latex' />. If we fix an &#8220;initial&#8221; value <img src='http://l.wordpress.com/latex.php?latex=y%28t_0%29%3Dy_0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y(t_0)=y_0' title='y(t_0)=y_0' class='latex' />, then we are guaranteed short time existence and uniqueness of a solution (providing the function <img src='http://l.wordpress.com/latex.php?latex=f&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f' title='f' class='latex' /> is nice enough). But if we do not fix an initial value, we can instead think of an ODE as a <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-parameter family of (perhaps partially defined) maps from <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> to itself. For each fixed <img src='http://l.wordpress.com/latex.php?latex=t&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='t' title='t' class='latex' />, the function <img src='http://l.wordpress.com/latex.php?latex=f%28y%2Ct%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='f(y,t)' title='f(y,t)' class='latex' /> defines a vector field on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />. We can think of the ODE as specifying a path in the Lie algebra of vector fields on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />; solving the ODE amounts to finding a path in the Lie group of diffeomorphisms of <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> (or some partially defined Lie pseudogroup of diffeomorphisms on some restricted subdomain) which is tangent to the given family of vector fields. It makes sense therefore to study special classes of equations, and ask when this family of maps is conjugate into an interesting pseudogroup; equivalently, that the evolution of the solutions preserves an interesting geometric structure on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />. We consider some examples in turn.</p>
<ol>
<li>Indefinite integral <img src='http://l.wordpress.com/latex.php?latex=y%27+%3D+a%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039; = a(t)' title='y&#039; = a(t)' class='latex' />. The group in this case is <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />, acting on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> by translation. The equation is solved by integrating: <img src='http://l.wordpress.com/latex.php?latex=y%3D%5Cint+a%28t%29dt+%2B+C&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=\int a(t)dt + C' title='y=\int a(t)dt + C' class='latex' />.</li>
<li>Linear homogeneous ODE <img src='http://l.wordpress.com/latex.php?latex=y%27+%3D+a%28t%29y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039; = a(t)y' title='y&#039; = a(t)y' class='latex' />. The group in this case is <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E%2B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^+' title='\mathbb{R}^+' class='latex' />, acting on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> by multiplication (notice that this group action is <em>not</em> transitive; the point <img src='http://l.wordpress.com/latex.php?latex=0+%5Cin+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='0 \in \mathbb{R}' title='0 \in \mathbb{R}' class='latex' /> is preserved; this corresponds to the fact that <img src='http://l.wordpress.com/latex.php?latex=y+%3D+0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = 0' title='y = 0' class='latex' /> is always a solution of a homogeneous linear ODE). The Lie algebra is <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />, and the ODE is &#8220;solved&#8221; by <em>exponentiating</em> the vector field, and integrating. Hence <img src='http://l.wordpress.com/latex.php?latex=y+%3D+C+e%5E%7B%5Cint+a%28t%29dt%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y = C e^{\int a(t)dt}' title='y = C e^{\int a(t)dt}' class='latex' /> is the general solution. In fact, in the previous example, the Lie algebra of the group of translations is also identified with <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />, and &#8220;exponentiating&#8221; is the identity map.</li>
<li>Linear inhomogeneous ODE <img src='http://l.wordpress.com/latex.php?latex=y%27+%3D+a%28t%29y+%2B+b%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039; = a(t)y + b(t)' title='y&#039; = a(t)y + b(t)' class='latex' />. The group in this case is the affine group <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E%2B+%5Cltimes+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^+ \ltimes \mathbb{R}' title='\mathbb{R}^+ \ltimes \mathbb{R}' class='latex' /> where the first factor acts by dilations and the second by translation. The affine group is not abelian, so one cannot &#8220;integrate&#8221; a vector field directly, but it is <em>solvable</em>: there is a short exact sequence <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D+%5Cto+%5Cmathbb%7BR%7D%5E%2B+%5Cltimes+%5Cmathbb%7BR%7D+%5Cto+%5Cmathbb%7BR%7D%5E%2B&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R} \to \mathbb{R}^+ \ltimes \mathbb{R} \to \mathbb{R}^+' title='\mathbb{R} \to \mathbb{R}^+ \ltimes \mathbb{R} \to \mathbb{R}^+' class='latex' />. The image in the Lie algebra of the group of dilations is the term <img src='http://l.wordpress.com/latex.php?latex=a%28t%29y&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a(t)y' title='a(t)y' class='latex' />, which can be integrated as before to give an <em>integrating factor </em><img src='http://l.wordpress.com/latex.php?latex=e%5E%7B%5Cint+a%28t%29dt%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='e^{\int a(t)dt}' title='e^{\int a(t)dt}' class='latex' />. Setting <img src='http://l.wordpress.com/latex.php?latex=z+%3D+ye%5E%7B-%5Cint+a%28t%29dt%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='z = ye^{-\int a(t)dt}' title='z = ye^{-\int a(t)dt}' class='latex' /> gives <img src='http://l.wordpress.com/latex.php?latex=z%27+%3D+y%27e%5E%7B-%5Cint+a%28t%29dt%7D+-+a%28t%29ye%5E%7B-%5Cint+a%28t%29dt%7D+%3D+b%28t%29e%5E%7B-%5Cint+a%28t%29dt%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='z&#039; = y&#039;e^{-\int a(t)dt} - a(t)ye^{-\int a(t)dt} = b(t)e^{-\int a(t)dt}' title='z&#039; = y&#039;e^{-\int a(t)dt} - a(t)ye^{-\int a(t)dt} = b(t)e^{-\int a(t)dt}' class='latex' /> which is an indefinite integral, and can be solved by a further integration. In other words, we do one integration to change the structure group from <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E%2B+%5Cltimes+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^+ \ltimes \mathbb{R}' title='\mathbb{R}^+ \ltimes \mathbb{R}' class='latex' /> to <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> (&#8220;integrating out&#8221; the group of dilations) and then what is left is an abelian structure group, in which we can do &#8220;ordinary&#8221; integration. This procedure works whenever the structure group is <em>solvable</em>; i.e. whenever there is a finite sequence <img src='http://l.wordpress.com/latex.php?latex=G%3DG_0%2C%5Ccdots%2CG_n%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G=G_0,\cdots,G_n=0' title='G=G_0,\cdots,G_n=0' class='latex' /> where each <img src='http://l.wordpress.com/latex.php?latex=G_i&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G_i' title='G_i' class='latex' /> surjects onto an abelian group, with kernel <img src='http://l.wordpress.com/latex.php?latex=G_%7Bi-1%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='G_{i-1}' title='G_{i-1}' class='latex' />, and after finitely many steps, the last kernel is trivial.</li>
<li>Ricatti equation <img src='http://l.wordpress.com/latex.php?latex=y%27+%3D+a%28t%29y%5E2+%2B+b%28t%29y+%2B+c%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039; = a(t)y^2 + b(t)y + c(t)' title='y&#039; = a(t)y^2 + b(t)y + c(t)' class='latex' />. In this case, it is well-known that the equation can blow up in finite time, and one does not obtain a group of transformations of <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />, but rather a group of transformations of the projective line <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BRP%7D%5E1+%3D+%5Cmathbb%7BR%7D+%5Ccup+%5Cinfty&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{RP}^1 = \mathbb{R} \cup \infty' title='\mathbb{RP}^1 = \mathbb{R} \cup \infty' class='latex' />; another point of view says that one obtains a pseudogroup of transformations of subsets of <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />. The group in this case is the projective group <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' />, acting by projective linear transformations. Let <img src='http://l.wordpress.com/latex.php?latex=A%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A(t)' title='A(t)' class='latex' /> be a <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-parameter family of matrices in <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' />, say <img src='http://l.wordpress.com/latex.php?latex=A%28t%29%3D%5Cleft%28+%5Cbegin%7Bsmallmatrix%7D+u%28t%29+%26%2338%3B+v%28t%29+%5C%5C+w%28t%29+%26%2338%3B+x%28t%29+%5Cend%7Bsmallmatrix%7D+%5Cright%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A(t)=\left( \begin{smallmatrix} u(t) &amp; v(t) \\ w(t) &amp; x(t) \end{smallmatrix} \right)' title='A(t)=\left( \begin{smallmatrix} u(t) &amp; v(t) \\ w(t) &amp; x(t) \end{smallmatrix} \right)' class='latex' />, with <img src='http://l.wordpress.com/latex.php?latex=A%280%29%3D%5Ctext%7Bid%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A(0)=\text{id}' title='A(0)=\text{id}' class='latex' />. Matrices act on <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> by fractional linear maps; that is, <img src='http://l.wordpress.com/latex.php?latex=Az+%3D+%28uz+%2B+v%29%2F%28wz%2Bx%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Az = (uz + v)/(wz+x)' title='Az = (uz + v)/(wz+x)' class='latex' /> for <img src='http://l.wordpress.com/latex.php?latex=z+%5Cin+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='z \in \mathbb{R}' title='z \in \mathbb{R}' class='latex' />. Differentiating <img src='http://l.wordpress.com/latex.php?latex=A%28t%29z&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='A(t)z' title='A(t)z' class='latex' /> at <img src='http://l.wordpress.com/latex.php?latex=t%3D0&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='t=0' title='t=0' class='latex' /> one obtains <img src='http://l.wordpress.com/latex.php?latex=%28Az%29%27%280%29+%3D+%28u%27z%2Bv%27%29-z%28w%27z%2Bx%27%29+%3D+w%27z%5E2+%2B+%28u%27-x%27%29z+%2B+v%27&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='(Az)&#039;(0) = (u&#039;z+v&#039;)-z(w&#039;z+x&#039;) = w&#039;z^2 + (u&#039;-x&#039;)z + v&#039;' title='(Az)&#039;(0) = (u&#039;z+v&#039;)-z(w&#039;z+x&#039;) = w&#039;z^2 + (u&#039;-x&#039;)z + v&#039;' class='latex' /> which is the general form of the Ricatti equation. Since the group <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' /> is not solvable, the Ricatti equation cannot be solved in terms of elementary functions and integrals. However, if one knows <em>one</em> solution <img src='http://l.wordpress.com/latex.php?latex=y%3Dz%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y=z(t)' title='y=z(t)' class='latex' />, one can find all other solutions as follows. Do a change of co-ordinates, by sending the solution <img src='http://l.wordpress.com/latex.php?latex=z%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='z(t)' title='z(t)' class='latex' /> &#8220;to infinity&#8221;; i.e. define <img src='http://l.wordpress.com/latex.php?latex=x+%3D+1%2F%28y-z%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='x = 1/(y-z)' title='x = 1/(y-z)' class='latex' />. Then as a function 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' />, the Ricatti equation reduces to a linear inhomogeneous ODE. In other words, the structure group reduces to the subgroup of <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' /> fixing the point at infinity (i.e. the solution <img src='http://l.wordpress.com/latex.php?latex=z%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='z(t)' title='z(t)' class='latex' />), which is the affine group <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E%2B+%5Cltimes+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^+ \ltimes \mathbb{R}' title='\mathbb{R}^+ \ltimes \mathbb{R}' class='latex' />. One can therefore solve for <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 by substituting back, for <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' />.</li>
</ol>
<p>The Ricatti equation is important for the solution of <em>second order</em> linear equations, since any second order linear equation <img src='http://l.wordpress.com/latex.php?latex=y%27%27+%3D+a%28t%29y%27+%2B+b%28t%29y+%2B+c%28t%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039;&#039; = a(t)y&#039; + b(t)y + c(t)' title='y&#039;&#039; = a(t)y&#039; + b(t)y + c(t)' class='latex' /> can be transformed into a system of two first order linear equations in the variables <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' /> and <img src='http://l.wordpress.com/latex.php?latex=y%27&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='y&#039;' title='y&#039;' class='latex' />. A system of first order ODEs in <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' /> variables can be described in terms of pseudogroups of transformations of (subsets of) <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5En&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^n' title='\mathbb{R}^n' class='latex' />. A system of linear equations corresponds to the structure group <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BGL%7D%28n%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{GL}(n,\mathbb{R})' title='\text{GL}(n,\mathbb{R})' class='latex' />, hence in the case of a <img src='http://l.wordpress.com/latex.php?latex=2%5Ctimes+2&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='2\times 2' title='2\times 2' class='latex' /> system, to <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BGL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{GL}(2,\mathbb{R})' title='\text{GL}(2,\mathbb{R})' class='latex' />. The determinant map is a homomorphism from <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BGL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{GL}(2,\mathbb{R})' title='\text{GL}(2,\mathbb{R})' class='latex' /> to <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E%2A&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^*' title='\mathbb{R}^*' class='latex' /> with kernel <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{SL}(2,\mathbb{R})' title='\text{SL}(2,\mathbb{R})' class='latex' />; hence, after  multiplication by a suitable integrating factor, one can reduce to a system which is (equivalent to) the Ricatti equation.</p>
<p>Having seen these examples, one naturally wonders whether there are any other interesting families of equations and corresponding Lie groups acting on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds. In fact, there are (essentially) no other examples: if one insists on (finite dimensional) simple Lie groups, then <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{SL}(2,\mathbb{R})' title='\text{SL}(2,\mathbb{R})' class='latex' /> is more or less the only example. Perhaps this is one of the reasons why the theory of ODEs tends to appear to undergraduates (and others) as an unstructured collection of rules and tricks. Nevertheless, recasting the theory in terms of geometric structures has the effect of clearing the air to some extent.</p>
<hr />Geometric structures on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds arise also in the theory of <em>foliations</em>, which may be seen as a geometric abstraction of certain kinds of PDE. Suppose <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' /> is a manifold, and <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' /> is a codimension one foliation. The foliation determines local charts on the manifold in which the leaves of the foliation intersect the chart in the level sets of a co-ordinate function. In the overlap of two such local charts, the transitions between the local co-ordinate functions take values in some pseudogroup. For certain kinds of foliations, this pseudogroup might be analytically quite rigid. For example, if <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' /> is tangent to the kernel of a nonsingular <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-form <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' /> on <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' />, then integrating <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' /> determines a metric on the leaf space which is preserved by the co-ordinate transformations, and the pseudogroup is conjugate into the group of translations. There are also some interesting examples where the pseudogroup has no interesting local structure, but where structure emerges on a macroscopic scale, because of some special features of the topology of <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' /> and <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' />. For example, suppose <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' /> is a <img src='http://l.wordpress.com/latex.php?latex=3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='3' title='3' class='latex' />-manifold, and <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' /> is a foliation in which every leaf is dense. One knows for topological reasons (i.e. theorems of Novikov and Palmeira) that the universal cover <img src='http://l.wordpress.com/latex.php?latex=%5Ctilde%7BM%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tilde{M}' title='\tilde{M}' class='latex' /> is homeomorphic to <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D%5E3&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}^3' title='\mathbb{R}^3' class='latex' /> in such a way that the pulled-back foliation <img src='http://l.wordpress.com/latex.php?latex=%5Ctilde%7B%5Cmathcal%7BF%7D%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tilde{\mathcal{F}}' title='\tilde{\mathcal{F}}' class='latex' /> is topologically a foliation by planes. One important special case is when any two leaves of <img src='http://l.wordpress.com/latex.php?latex=%5Ctilde%7B%5Cmathcal%7BF%7D%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tilde{\mathcal{F}}' title='\tilde{\mathcal{F}}' class='latex' /> are a finite Hausdorff distance apart in <img src='http://l.wordpress.com/latex.php?latex=%5Ctilde%7BM%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tilde{M}' title='\tilde{M}' class='latex' />. In this case, the foliation <img src='http://l.wordpress.com/latex.php?latex=%5Ctilde%7B%5Cmathcal%7BF%7D%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\tilde{\mathcal{F}}' title='\tilde{\mathcal{F}}' class='latex' /> is topologically conjugate to a product foliation, and <img src='http://l.wordpress.com/latex.php?latex=%5Cpi_1%28M%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\pi_1(M)' title='\pi_1(M)' class='latex' /> acts on the leaf space (which is <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' />) by a group of homeomorphisms. The condition that pairs of leaves are a finite Hausdorff distance away implies that there are intervals <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' /> in the leaf space whose translates <em>do not nest</em>; i.e. with the property that there is no <img src='http://l.wordpress.com/latex.php?latex=g+%5Cin+%5Cpi_1%28M%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g \in \pi_1(M)' title='g \in \pi_1(M)' class='latex' /> for which <img src='http://l.wordpress.com/latex.php?latex=g%28I%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(I)' title='g(I)' class='latex' /> is properly contained in <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' />. Let <img src='http://l.wordpress.com/latex.php?latex=I%5E%5Cpm&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='I^\pm' title='I^\pm' class='latex' /> denote the two endpoints of the interval <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' />. One defines a function <img src='http://l.wordpress.com/latex.php?latex=Z%3A%5Cmathbb%7BR%7D+%5Cto+%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Z:\mathbb{R} \to \mathbb{R}' title='Z:\mathbb{R} \to \mathbb{R}' class='latex' /> by defining <img src='http://l.wordpress.com/latex.php?latex=Z%28p%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Z(p)' title='Z(p)' class='latex' /> to be the supremum of the set of values <img src='http://l.wordpress.com/latex.php?latex=g%28I%5E%2B%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(I^+)' title='g(I^+)' class='latex' /> over all <img src='http://l.wordpress.com/latex.php?latex=g+%5Cin+%5Cpi_1%28M%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g \in \pi_1(M)' title='g \in \pi_1(M)' class='latex' /> for which <img src='http://l.wordpress.com/latex.php?latex=g%28I%5E-%29+%5Cle+p&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='g(I^-) \le p' title='g(I^-) \le p' class='latex' />. The non-nesting property, and the fact that every leaf of <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' /> is dense, together imply that <img src='http://l.wordpress.com/latex.php?latex=Z&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Z' title='Z' class='latex' /> is a strictly increasing (i.e. fixed-point free) homeomorphism of <img src='http://l.wordpress.com/latex.php?latex=%5Cmathbb%7BR%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathbb{R}' title='\mathbb{R}' class='latex' /> which commutes with the action of <img src='http://l.wordpress.com/latex.php?latex=%5Cpi_1%28M%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\pi_1(M)' title='\pi_1(M)' class='latex' />. In particular, the action of <img src='http://l.wordpress.com/latex.php?latex=%5Cpi_1%28M%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\pi_1(M)' title='\pi_1(M)' class='latex' /> is conjugate into the subgroup <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BHomeo%7D%5E%2B%28%5Cmathbb%7BR%7D%29%5E%7B%5Cmathbb%7BZ%7D%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{Homeo}^+(\mathbb{R})^{\mathbb{Z}}' title='\text{Homeo}^+(\mathbb{R})^{\mathbb{Z}}' class='latex' /> of homeomorphisms that commute with integer translation. One says in this case that the manifold <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' /> <em>slithers over a circle</em>; it is possible to deduce a lot about the geometry and topology of <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' /> and <img src='http://l.wordpress.com/latex.php?latex=%5Cmathcal%7BF%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\mathcal{F}' title='\mathcal{F}' class='latex' /> from this structure. See for example Thurston&#8217;s <a href="http://arxiv.org/abs/math/9712268">paper</a>, or my <a href="http://www.ams.org/mathscinet-getitem?mr=2327361">book</a>.</p>
<hr />A third significant way in which geometric structures arise on circles is in the theory of conformal <em>welding</em>. Let <img src='http://l.wordpress.com/latex.php?latex=%5Cgamma%3AS%5E1+%5Cto+%5Cmathbb%7BCP%7D%5E1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\gamma:S^1 \to \mathbb{CP}^1' title='\gamma:S^1 \to \mathbb{CP}^1' class='latex' /> be a Jordan curve in the Riemann sphere. The image of the curve decomposes the sphere into two regions homeomorphic to disks. Each open disk region can be uniformized by a holomorphic map from the open unit disk, which extends continuously to the boundary circle. These uniformizing maps are well-defined up to composition with an element of the Möbius group <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' />, and their difference is therefore a coset in <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BHomeo%7D%5E%2B%28S%5E1%29%2F%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{Homeo}^+(S^1)/\text{PSL}(2,\mathbb{R})' title='\text{Homeo}^+(S^1)/\text{PSL}(2,\mathbb{R})' class='latex' /> called the <em>welding</em> homeomorphism. Conversely, given a homeomorphism of the circle, one can ask when it arises from a Jordan curve in the Riemann sphere as above, and if it does, whether the curve is unique (up to conformal self-maps of the Riemann sphere). Neither existence nor uniqueness hold in great generality. For example, if the image <img src='http://l.wordpress.com/latex.php?latex=%5Cgamma%28S%5E1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\gamma(S^1)' title='\gamma(S^1)' class='latex' /> has positive (Hausdorff) measure, any quasiconformal deformation of the complex structure on the Riemann sphere supported on the image of the curve will deform the curve but not the welding homeomorphism. One significant special case in which existence and uniqueness is assured is the case that <img src='http://l.wordpress.com/latex.php?latex=%5Cgamma%28S%5E1%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\gamma(S^1)' title='\gamma(S^1)' class='latex' /> is a <em>quasicircle</em>. This means that there is a constant <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' /> with the property that if two points <img src='http://l.wordpress.com/latex.php?latex=p%2Cq&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='p,q' title='p,q' class='latex' /> are contained in the quasicircle, and the spherical distance between the two points is <img src='http://l.wordpress.com/latex.php?latex=d%28p%2Cq%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='d(p,q)' title='d(p,q)' class='latex' />, then at least one arc of the quasicircle joining <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' /> to <img src='http://l.wordpress.com/latex.php?latex=q&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='q' title='q' class='latex' /> has spherical diameter at most <img src='http://l.wordpress.com/latex.php?latex=Kd%28p%2Cq%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='Kd(p,q)' title='Kd(p,q)' class='latex' />. In other words, there are no <em>bottlenecks</em> where two points on the quasicircle come very close in the sphere without being close in the curve. Welding maps corresponding to quasicircles are precisely the <em>quasisymmetric</em> homeomorphisms. A homeomorphism is quasisymmetric if for every sufficiently small interval in the circle, the image of the midpoint of the interval under the homeomorphism is not too far from being the midpoint of the image of the interval; i.e. it divides the image of the interval into two pieces whose lengths have a ratio which is bounded below and above by some fixed constant. Other classes of geometric structures can be detected by welding: smooth Jordan circles correspond to smooth welding maps, real analytic circles correspond to real analytic welding maps, round circles correspond to welding maps in <img src='http://l.wordpress.com/latex.php?latex=%5Ctext%7BPSL%7D%282%2C%5Cmathbb%7BR%7D%29&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\text{PSL}(2,\mathbb{R})' title='\text{PSL}(2,\mathbb{R})' class='latex' />, and so on. Recent <a href="http://arxiv.org/abs/0909.1003">work</a> of  Eero Saksman and his collaborators has sought to find the correct idea of a &#8220;random&#8221; welding, which corresponds to the kinds of Jordan curves generated by stochastic processes such as SLE. In general, the precise correspondence between the analytic quality of <img src='http://l.wordpress.com/latex.php?latex=%5Cgamma&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\gamma' title='\gamma' class='latex' /> and of the welding map is given by the <em><a href="http://en.wikipedia.org/wiki/Hilbert_transform">Hilbert transform</a>.</em></p>
<hr />This list of examples of geometric structures on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds is by no means exhaustive. There are many very special features of <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-dimensional geometry: oriented <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds have a natural <em>causal structure</em>, which may be seen as a special case of contact/symplectic geometry; (nonatomic) measures on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds can be integrated to metrics; connections on <img src='http://l.wordpress.com/latex.php?latex=1&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='1' title='1' class='latex' />-manifolds are automatically flat, and correspond to representations. It would be interesting to hear other examples, and how they arise in various mathematical fields.</p>
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<title><![CDATA[19 Amazing WordPress Plugins Free]]></title>
<link>http://lorenzobergamini.wordpress.com/2009/09/10/19-amazing-wordpress-plugins-free/</link>
<pubDate>Thu, 10 Sep 2009 19:20:36 +0000</pubDate>
<dc:creator>lorenzobergamini</dc:creator>
<guid>http://lorenzobergamini.wordpress.com/2009/09/10/19-amazing-wordpress-plugins-free/</guid>
<description><![CDATA[Molti non sanno, o meglio non immaginano, che un Web Design e Developer per la realizzazione di un S]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><div style="text-align:center;"><a href="http://lorenzobergamini.myblog.it/media/02/00/1342506578.jpg" target="_blank"><img style="border-width:0;margin:.7em 0;" src="http://lorenzobergamini.myblog.it/media/02/00/83268338.jpg" alt="bli-argomenti-19-essential-wordpress-plugin.jpg" /></a></div>
<p><span style="font-size:10pt;"><span style="font-family:verdana,geneva;"> <span style="color:#ff0000;"><em><strong><br />
</strong></em></span>Molti non sanno, o meglio non immaginano, che un <em><strong>Web Design</strong></em> e <em><strong>Developer</strong></em> per la realizzazione di un <em><strong>Sito Web</strong></em>, in questo caso di un <em><strong>Blog</strong></em> in <em><strong>WordPress</strong></em>, deve decidere quali <em><span style="text-decoration:underline;">Addons</span></em>, <em><span style="text-decoration:underline;">Plugins</span></em>, <em><span style="text-decoration:underline;">Moduli</span></em>, <em><span style="text-decoration:underline;">Funzioni</span></em> o <em><span style="text-decoration:underline;">Estensioni</span></em> (che di seguito chiameremo <em>Estensioni</em>) deve inserire nel <em><strong>Sito web</strong></em> che sta sviluppando.</span></span></p>
<p><em><strong>WordPress</strong></em> è un <em><strong>CMS</strong></em> scritto in linguaggio di programmazione PHP e utilizza come archiviazione dei dati variabili il DataBase MySql. Sui CMS abbiamo parlato nell&#8217;articolo <a title="I 21 popolari CMS free e le loro risorse" href="http://www.bli.it/news-e-articoli/il-meglio-dal-web/attualita-e-argomenti/181-i-21-popolari-cms-free-e-le-loro-risorse.html" target="_blank"><span style="color:#ff0000;"><em><strong>I 21 Popolari CMS Free E Le Loro Risorse</strong></em></span></a>.</p>
<p>In Internet, nelle miriadi strade che lo compono, possiamo trovare di tutto sulle <span style="font-size:10pt;"><span style="font-family:verdana,geneva;"><em>Estensioni</em></span></span> <span style="font-size:10pt;"><span style="font-family:verdana,geneva;">da aggiungere nel <em><strong>Sito Web</strong></em>. Alcune sono note e collaudate, altre sono utili, e spesso non se ne conosce la provenienza.</span></span></p>
<p>Al <em><strong>Web Designer</strong></em> e <em><strong>Developer</strong></em> deve spesso effettuare ricerche e fare verifiche per decidere quali <span style="font-size:10pt;"><span style="font-family:verdana,geneva;"><em>Estensioni</em></span></span> <span style="font-size:10pt;"><span style="font-family:verdana,geneva;">utilizzare, e ogni tanto ne modifica qualcuna o ne crea altre per soddisfare le esigenze del <em><strong>Sito Web</strong></em> che sta creando.</span></span></p>
<p><span style="font-size:10pt;"><span style="font-family:verdana,geneva;"><a title="19 Amazing WordPress Plugins Free" href="http://www.bli.it/news-e-articoli/il-meglio-dal-web/attualita-e-argomenti/226-19-amazing-wordpress-plugins-free.html" target="_blank">Leggi tutto l&#8217;articolo, scopri e fai il download dei i <span style="color:#ff0000;"><em><strong>19 Amazing WordPress Plugins Free</strong></em></span></a>.</span></span></p>
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<title><![CDATA[Regole per chi si rivolge a un'agenzia immobiliare ]]></title>
<link>http://1001casablog.com/2009/09/08/regole-per-chi-si-rivolge-a-unagenzia-immobiliare/</link>
<pubDate>Tue, 08 Sep 2009 16:24:16 +0000</pubDate>
<dc:creator>andrea</dc:creator>
<guid>http://1001casablog.com/2009/09/08/regole-per-chi-si-rivolge-a-unagenzia-immobiliare/</guid>
<description><![CDATA[I punti fondamentali da seguire quando si vuole acquistare o vendere casa tramite agenzia Articolo a]]></description>
<content:encoded><![CDATA[I punti fondamentali da seguire quando si vuole acquistare o vendere casa tramite agenzia Articolo a]]></content:encoded>
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<title><![CDATA[A semana (que passou) nos arXivs…]]></title>
<link>http://arsphysica.wordpress.com/2009/09/05/a-semana-que-passou-nos-arxivs/</link>
<pubDate>Sat, 05 Sep 2009 15:54:31 +0000</pubDate>
<dc:creator>Daniel</dc:creator>
<guid>http://arsphysica.wordpress.com/2009/09/05/a-semana-que-passou-nos-arxivs/</guid>
<description><![CDATA[Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich. (arXiv:0909.0615]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><ul>
<li><a href="http://arxiv.org/abs/0909.0615">Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich. (arXiv:0909.0615v1 [math-ph])</a></li>
<li><a href="http://arxiv.org/abs/0908.4224">Stochastic quantization and the role of time in quantum gravity. (arXiv:0908.4224v1 [hep-th])</a></li>
<li><a href="http://arxiv.org/abs/0909.0551">Division algebras and supersymmetry. (arXiv:0909.0551v1 [hep-th])</a> (<a href="http://golem.ph.utexas.edu/category/2009/09/supersymmetry_and_division_alg.html">Division Algebras and Supersymmetry</a>)</li>
<li><a href="http://link.aps.org/doi/10.1103/PhysRevD.80.044029">General relativity with small cosmological constant from spontaneous compactification of Lovelock theory in vacuum</a></li>
<li><a href="http://arxiv.org/abs/0908.4052">Quantization of Integrable Systems and Four Dimensional Gauge Theories. (arXiv:0908.4052v1 [hep-th])</a></li>
<li><a href="http://link.aip.org/link/?JMP/50/095101/1&#38;agg=rss">Introduction to Special Issue: Integrable Quantum Systems and Solvable Statistical Mechanics Models</a></li>
<li><a href="http://arxiv.org/abs/0908.3408">Entangled quantum states in a local deterministic theory. (arXiv:0908.3408v1 [quant-ph])</a></li>
<li><a href="http://rspa.royalsocietypublishing.org/cgi/content/short/465/2110/3047?rss=1">Dequantization of the Dirac monopole</a></li>
<li><a href="http://feedproxy.google.com/~r/GodPlaysDice/~3/4lVaEBAnT7Q/hidden-mathematics-of-bathrooms.html">The hidden mathematics of bathrooms</a></li>
<li><a href="http://golem.ph.utexas.edu/category/2009/09/where_have_all_the_solitons_go.html">Where Have All the Solitons Gone?</a></li>
<li><a href="http://golem.ph.utexas.edu/category/2009/08/this_weeks_finds_in_mathematic_39.html">This Week&#8217;s Finds in Mathematical Physics (Week 278)</a></li>
<li><a href="http://rigtriv.wordpress.com/2009/08/24/b-n-r-part-1-twisted-endomorphisms/">B-N-R Part 1: Twisted Endomorphisms</a>, <a href="http://rigtriv.wordpress.com/2009/08/25/b-n-r-part-2-moduli-of-vector-bundles/">B-N-R Part 2: Moduli of Vector Bundles</a></li>
</ul>
<hr />
<p></p>
<ul>
<li><a href="http://www.timeshighereducation.co.uk/story.asp?sectioncode=26&#38;storycode=407993&#38;c=1"><strong>Institutions slap down those who speak up, argues campaigning scholar</strong></a></li>
<li><a href="http://www.cjr.org/the_observatory/can_science_be_humanized.php">Can Science Be “Humanized?”</a></li>
<li><a href="http://www.theamericanscholar.org/science-reporting-and-evidence-based-journalism/">Science Reporting and Evidence-Based Journalism</a></li>
<li><a href="http://feeds.wired.com/~r/wired/index/~3/POpq4aW320k/">They Might Be Giants Keeps Pop Kid-Friendly With Smart &#8216;Here Comes Science&#8217;</a></li>
<li><a href="http://www.scientificamerican.com/article.cfm?id=an-update-on-cp-snows-two-cultures">An Update on C. P. Snow&#8217;s &#8220;Two Cultures&#8221;</a></li>
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<title><![CDATA[Gestione dei saggi e delle recensioni]]></title>
<link>http://alcorsistemi.wordpress.com/2009/09/04/gestione-dei-saggi-e-delle-recensioni/</link>
<pubDate>Fri, 04 Sep 2009 15:12:15 +0000</pubDate>
<dc:creator>albertobertini</dc:creator>
<guid>http://alcorsistemi.wordpress.com/2009/09/04/gestione-dei-saggi-e-delle-recensioni/</guid>
<description><![CDATA[Infolib aggiunge un nuovo modulo che arricchisce le soluzioni per l’area marketing. La procedura ha ]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p><span style="color:black;" lang="it">Infolib aggiunge un nuovo modulo che arricchisce le soluzioni per l’area marketing.</span></p>
<p class="MsoNormal"><span style="color:black;" lang="it">La procedura ha lo scopo di organizzare le attività di:<br />
- Invio dei saggi ai critici e/o le rispettive testate<br />
- L’inserimento delle recensioni pubblicate sulle varie testate<br />
- La visualizzazione sinottica dei due elenchi in modo da valutare l’efficacia delle promozioni svolte.<br />
Sono gestite l’anagrafica delle testate giornalistiche, e quella dei critici, con le loro relazioni (per quali testate lavora / collabora ciascun critico).<br />
È possibile creare tutte le classificazioni desiderate (quali argomento, settore, tipologia, genere, etc.) che consentano di profilare sia i titoli che i critici.<br />
Per i critici è possibile indicare un numero a piacere di elementi di queste tabelle, lo stesso avviene per i titoli.<br />
È possibile inserire proposte di invio saggi con diverse modalità:<br />
- Proposte per titolo<br />
Si selezionano uno o più titoli con appositi criteri (ad esempio i titoli in preparazione, quelli pubblicati da un mese, i titoli di una collana, etc.).<br />
Selezionando ciascun titolo, il sistema propone automaticamente tutti i critici che sono potenzialmente interessati, in base al loro profilo.<br />
L’operatore può confermare o meno l’invio dei saggi, variare il numero di copie, decidere a quale indirizzo inviarlo. Il sistema, in base alla configurazione propone di inviare il saggio al critico ad un indirizzo specializzato, al suo indirizzo principale, oppure presso la testata cui collabora; è possibile variare l’indirizzo scegliendolo tra tutti quelli possibili, oppure fare un invio ad un indirizzo occasionale.<br />
È possibile visualizzare saggi già inviati in precedenza dello stesso titolo.<br />
È possibile aggiungere, eliminare, modificare le proposte.<br />
- Proposte per critico<br />
Si selezionano i critici desiderati, e per ciascuno il sistema propone i saggi da inviare. Le modalità sono le stesse della modalità precedente.<br />
<strong>Invio saggi</strong><br />
È possibile prendere in esame tutte le proposte di invio saggi, comunque elaborate, decidere se inviarle effettivamente o meno, effettuare un invio automatico che genera etichette per le spedizioni, e/o file con tutti i dati necessari.<br />
Dalla stessa procedura è possibile effettuare proposte libere; in questa modalità non viene effettuata nessuna proposizione automatica, ma si selezionano titolo, critico, testata e indirizzo di spedizione in modo completamente libero.<br />
<strong>Recensioni</strong><br />
È possibile inserire i testi delle recensioni effettuate (e relative annotazioni dell’operatore) indicando gli estremi (testata, fascicolo, data, critico, titolo).<br />
Incrociando recensioni e invio dei saggi si può valutare il grado di efficacia delle azioni promozionali effettuate.<br />
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<title><![CDATA[Regolarizzare colf e badanti: c'è tempo fino al 30 settembre]]></title>
<link>http://paoblog.wordpress.com/2009/09/01/regolarizzare-colf-e-badanti-ce-tempo-fino-al-30-settembre/</link>
<pubDate>Tue, 01 Sep 2009 06:05:06 +0000</pubDate>
<dc:creator>paoblog</dc:creator>
<guid>http://paoblog.wordpress.com/2009/09/01/regolarizzare-colf-e-badanti-ce-tempo-fino-al-30-settembre/</guid>
<description><![CDATA[L&#8217;ultimo decreto anticrisi ha introdotto la sanatoria per regolarizzare colf e badanti che fin]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>L&#8217;ultimo decreto anticrisi ha introdotto la sanatoria per regolarizzare colf e badanti che finora hanno lavorato in nero.</p>
<p>C&#8217;è tempo fino alla fine di settembre, ma la conclusione dell&#8217;iter è decisamente più lungo e dipende dal numero di domande che verranno presentate.</p>
<p><strong>Scarica i moduli necessari</strong>. &#62; <a href="http://www.altroconsumo.it/lavoro-e-previdenza/regolarizzare-colf-e-badanti-c-e-tempo-fino-al-30-settembre-s252693.htm" target="_blank">http://www.altroconsumo.it/lavoro-e-previdenza/regolarizzare-colf-e-badanti-c-e-tempo-fino-al-30-settembre-s252693.htm</a></p>
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<title><![CDATA[Internet come modello di apprendimento]]></title>
<link>http://fidest.wordpress.com/2009/08/31/internet-come-modello-di-apprendimento/</link>
<pubDate>Sun, 30 Aug 2009 22:13:03 +0000</pubDate>
<dc:creator>fidest</dc:creator>
<guid>http://fidest.wordpress.com/2009/08/31/internet-come-modello-di-apprendimento/</guid>
<description><![CDATA[Chi ha terminato gli studi, diciamo 20-30 anni fa sa bene che doveva riuscire a memorizzare il più p]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p style="text-align:justify;font-family:arial;font-size:15px;">Chi ha terminato gli studi, diciamo 20-30 anni fa sa bene che doveva riuscire a memorizzare il più possibile informazioni per poterle poi utilizzare nell’attività che sceglieva. Oggi non è più così. Il ruolo di Pico della Mirandola lo affidiamo ad internet dove è possibile organizzare le informazioni ed averle in tempo reale. E tutto questo senza dover ricorrere, necessariamente, ad uno studio particolare delle tecnologie digitali di accesso. Ciò ci lascia intravedere un impatto cognitivo diverso sia sotto l’aspetto dell’insegnamento sia dell’apprendimento. Se dobbiamo giungere ad una conclusione dovremmo rivoluzionare i nostri moduli di vita rendendo l’istruzione un modello di interagibilità più armonico con le nostre aspettative. Volendo estremizzare il concetto potremmo dire che diventa superfluo, in specie per una classe di giovani che parte dalle medie superiori sino all’università, uscire di casa ed andare a scuola. Lo stesso risultato, e con il vantaggio di restare con le pantofole di casa ed in pigiama, si può ottenere restando comodamente seduti di fronte al monitor del proprio computer in “video-lezione”. In un’altra stanza vi potrebbe essere chi è in homeworking, con il teleworking, trasformando l’abitazione in una “succursale” della scuola e del posto di lavoro. Alla fine si esce di casa solo per diporto, per andare in palestra o per incontrarsi con gli amici ed i parenti. Ma di là di altre considerazioni, e volendo restare nell’ambito dell’apprendimento di tipo scolastico, la nostra possibilità di fare una ricerca o un semplice approfondimento di un determinato argomento si amplia a dismisura potendo entrare virtualmente nelle biblioteche nazionali di tutto il mondo, consultare un testo e copiare quella parte che ci interessa e persino tradurlo, se necessario, in tempo reale con quei programmi sofisticati che in pochi secondi possono rendere intelligibile ad un italiano, monolinguista, un libro scritto in giapponese o in altre idiomi.</p>
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<title><![CDATA[Il 4-3-3 presidenziale]]></title>
<link>http://uncalcioalpallone.wordpress.com/2009/08/19/il-4-3-3-presidenziale/</link>
<pubDate>Tue, 18 Aug 2009 22:51:42 +0000</pubDate>
<dc:creator>un calcio al pallone</dc:creator>
<guid>http://uncalcioalpallone.wordpress.com/2009/08/19/il-4-3-3-presidenziale/</guid>
<description><![CDATA[Da qualche tempo si è diffusa enormemente, come la peste nel Medioevo, una delle tante leggende metr]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Da qualche tempo si è diffusa enormemente, come la peste nel Medioevo, una delle tante leggende metropolitane legate al Parma ghirardiano. Ovvero quella che vorrebbe il Presidentissimo IMPORRE un determinato modulo ai suoi allenatori. A parte che questa fino a prova contraria è una congettura bella e buona, ma poi anche i fatti la smentiscono. Infatti, anche se c&#8217;è più di qualcuno che si chiede perché da quando c&#8217;è Ghirardi tutti i tecnici al quale è affidato il Parma inizino la stagione sostenendo che il loro modulo preferito è il 4-3-3 (e altri che eccitandosi sottoscrivono la boiata con sardonica e ammiccante soddisfazione), va ricordato che &#8220;TUTTI&#8221; gli allenatori (detta così sembrerebbero decine!) sarebbero in realtà due, ovvero Di Carlo e Cagni, gli unici che finora hanno cominciato una stagione sotto la presidenza Ghirardi. In effetti Di Carlo all&#8217;inizio annunciò la volontà di giocare con un 4-3-3 (proposito peraltro mai seriamente attuato), mentre Cagni era famoso per il suo proverbiale e disastroso 4-2-4 (con Leon e Reginaldo sulle fasce) messo in campo fin dalle prime amichevoli e che ha segnato il suo prematuro esonero.<br />
Comunque a quanto pare anche i &#8220;giornalisti&#8221; (che, si sa, oggi &#8220;lavorano&#8221; esclusivamente spulciando o addirittura partecipando ai forum) <a href="http://www.calciomercato.com/index.php?c=14&#38;a=137607" target="_blank">si stanno convincendo di questa cretinata del modulo imposto dal presidente&#8230;</a> presto, ridateci Montanelli!</p>
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<title><![CDATA[Nuovo modulo Marketing di Infolib NET.]]></title>
<link>http://alcorsistemi.wordpress.com/2009/07/24/nuovo-modulo-marketing-di-infolib-net/</link>
<pubDate>Fri, 24 Jul 2009 08:21:34 +0000</pubDate>
<dc:creator>albertobertini</dc:creator>
<guid>http://alcorsistemi.wordpress.com/2009/07/24/nuovo-modulo-marketing-di-infolib-net/</guid>
<description><![CDATA[Questo nuovissimo modulo consente la gestione degli invii dei saggi ai criticiSi possono inserire le]]></description>
<content:encoded><![CDATA[<div class='snap_preview'><p>Questo nuovissimo modulo consente la gestione degli invii dei saggi ai critici<br />Si possono inserire le anagrafiche delle testate giornalistiche ed un anagrafico dei critici, con le loro reciproche relazioni.<br />Si può profilare ogni critico in base alle sue aree di interesse e specializzazione, o a qualsiasi criterio di profilazione stabilito liberamente.<br />Gli stessi criteri e classificazioni si possono utilizzare per identificare un titolo.<br />Incrociamdo i due profile (del critico e del titolo) il sistema propone automaticamente una lista di invio dei saggi mirata e selettiva.<br />Le liste possono essere confermate o meno, modificate, integrate a piacere.<br />A conferma vengono emesse liste di spedizione, etichette, documenti di impegno cliente, etc.<br />Il sistema consente di inserire le recensioni apparse sulla stampa, con indicazione della testata, anno e numero di pubblicazione, firma della recensione.<br />Incrociando recensioni e invio dei saggi si può valutare il grado di efficacia delle azioni promozionali effettuate.</p>
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