<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:georss='http://www.georss.org/georss' xmlns:gd='http://schemas.google.com/g/2005' xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-9193802852535869971</id><updated>2011-11-27T15:22:51.303-08:00</updated><category term='studying'/><category term='Math'/><category term='Stay awake'/><category term='Pi'/><title type='text'>Wikijo</title><subtitle type='html'>A Math Science and Engineering Blog</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://wikijo.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default?max-results=100'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>9</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>100</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-7178309867006580806</id><published>2007-08-09T16:49:00.001-07:00</published><updated>2007-08-09T17:26:04.085-07:00</updated><title type='text'>Cocaine possession for Carrying too much money</title><content type='html'>It is a known fact that most US dollar bill contain cocaine. According to the Argonne National Laboratory study "the average contamination was 16 micrograms (or 0.000016 grams.)" carrying more than 5 grams of cocaine will land you in jail.&lt;br /&gt;&lt;br /&gt;Therefore you would have to carry &lt;span style="font-size:180%;"&gt;&lt;span style="font-weight: bold;"&gt;312,500 bills&lt;/span&gt;&lt;/span&gt; in order to be charged for possession of coke. Or&lt;span style="font-size:100%;"&gt; &lt;/span&gt;&lt;span style="font-size:100%;"&gt;&lt;span style="font-weight: bold;"&gt;312.5 kg&lt;/span&gt; or &lt;/span&gt;&lt;span style="font-weight: bold;font-size:100%;" &gt;688.94 pounds &lt;/span&gt;&lt;span style="font-size:100%;"&gt;of bills!&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;The math:&lt;/span&gt;&lt;span style="font-weight: bold;"&gt;&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;1 Bill = 0.000016 grams&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;x&lt;/span&gt; Bills = 5.00000 grams&lt;br /&gt;&lt;br /&gt;1. Set up as two fractions (the bills and the grams)&lt;br /&gt;  1/&lt;span style="font-weight: bold;"&gt;x&lt;/span&gt; and 0.000016/5.00000&lt;br /&gt;2. Cross multiply&lt;br /&gt;  5 = 0.000016&lt;span style="font-weight: bold;"&gt;x&lt;/span&gt;&lt;br /&gt;3. Solve for &lt;span style="font-weight: bold;"&gt;x&lt;/span&gt;&lt;br /&gt;&lt;br /&gt;x =&lt;span style="font-weight: bold;"&gt; 312,500 one dollar bills &lt;/span&gt;&lt;br /&gt;&lt;br /&gt;For the weight. 1 bill = 1 gram. So 312,500 bills would weigh &lt;span&gt;&lt;b&gt;&lt;span style="font-size:78%;"&gt;&lt;b&gt;312.5 kg or &lt;/b&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span&gt;&lt;b&gt;&lt;span style="font-size:78%;"&gt;&lt;b&gt;688.94 pounds&lt;br /&gt;&lt;/b&gt;&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-7178309867006580806?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/7178309867006580806'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/7178309867006580806'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/cocaine-possession-for-carrying-too.html' title='Cocaine possession for Carrying too much money'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-3461243181199431782</id><published>2007-08-08T12:32:00.000-07:00</published><updated>2007-08-08T13:35:49.995-07:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='studying'/><category scheme='http://www.blogger.com/atom/ns#' term='Stay awake'/><title type='text'>10 Ways to Stay Awake</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrocD4bDk8I/AAAAAAAAAEg/56NV4aEmkHI/s1600-h/yawn.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 252px; height: 206px;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrocD4bDk8I/AAAAAAAAAEg/56NV4aEmkHI/s400/yawn.jpg" alt="" id="BLOGGER_PHOTO_ID_5096416781334188994" border="0" /&gt;&lt;/a&gt;Whet&lt;span style="font-size:100%;"&gt;her i&lt;/span&gt;&lt;span style="font-size:100%;"&gt;t is because you ha&lt;/span&gt;ve a project you need to get done, or you just want to stay up all night to party, or maybe you just fall asleep in class or at work. For whatever reason, this guide will help you get through your day and/or night.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;br /&gt;1. Coffee&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-size:100%;"&gt;The most common method of staying awake is with a high dose of caffeine from coffee. In order to get the most caffeine per cup use finely gained coffee (more surface area = more caffeine) in a drip coffee maker.&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-size:100%;"&gt;If you desire even more caffeine, instead of using water in your coffee machine use coffee, for a double caffeine punch! (Note, this may ruin your coffee machine)&lt;br /&gt;Also, for long lasting results, drink small amounts of coffee throughout the day.&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RroeOIbDk9I/AAAAAAAAAEo/hO-2AIuX-mY/s1600-h/A_small_cup_of_coffee.JPG"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 287px; height: 216px;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RroeOIbDk9I/AAAAAAAAAEo/hO-2AIuX-mY/s400/A_small_cup_of_coffee.JPG" alt="" id="BLOGGER_PHOTO_ID_5096419156451103698" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-size:100%;"&gt;&lt;span style="font-size:130%;"&gt;2. Energy Drinks&lt;/span&gt;&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;Energy drinks commonly contain &lt;a href="http://en.wikipedia.org/wiki/Caffeine" title="Caffeine"&gt;caffeine&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Guarana" title="Guarana"&gt;guarana&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Taurine" title="Taurine"&gt;taurine&lt;/a&gt;, various forms of &lt;a href="http://en.wikipedia.org/wiki/Ginseng" title="Ginseng"&gt;ginseng&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Maltodextrin" title="Maltodextrin"&gt;maltodextrin&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Inositol" title="Inositol"&gt;inositol&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Carnitine" title="Carnitine"&gt;carnitine&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Creatine" title="Creatine"&gt;creatine&lt;/a&gt;, &lt;a href="http://en.wikipedia.org/wiki/Glucuronolactone" title="Glucuronolactone"&gt;glucuronolactone&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Ginkgo_biloba" title="Ginkgo biloba"&gt;ginkgo biloba.&lt;/a&gt; All designed to increase energy and stamina. I find that &lt;a href="http://en.wikipedia.org/wiki/Bawls"&gt;Bawls&lt;/a&gt;, works best for staying up late. If you want to workout, then i would recommend &lt;a href="http://en.wikipedia.org/wiki/Red_bull"&gt;Red Bull&lt;/a&gt;. However, statistically, &lt;a href="http://en.wikipedia.org/wiki/Cocaine_%28drink%29"&gt;Cocaine&lt;/a&gt; contains the most caffeine per ounce.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrogN4bDk-I/AAAAAAAAAEw/eWowfUw2F_E/s1600-h/Energy_drinks.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 330px; height: 158px;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrogN4bDk-I/AAAAAAAAAEw/eWowfUw2F_E/s400/Energy_drinks.jpg" alt="" id="BLOGGER_PHOTO_ID_5096421351179391970" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;3. Water&lt;br /&gt;&lt;span style="font-size:100%;"&gt;Dehydration, can often times cause fatigue. In order to combat this, drink plenty of water. Also, large amounts of water will result in many bathroom breaks, which should also keep you awake.&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_nfdkOsXS7x0/RrohgYbDk_I/AAAAAAAAAE4/nuLBMhfMCCc/s1600-h/Water_droplet_blue_bg05.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="http://bp0.blogger.com/_nfdkOsXS7x0/RrohgYbDk_I/AAAAAAAAAE4/nuLBMhfMCCc/s400/Water_droplet_blue_bg05.jpg" alt="" id="BLOGGER_PHOTO_ID_5096422768518599666" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;4. Pain&lt;/span&gt;&lt;br /&gt;Nothing will keep you awake like pain. Try pulling your hair a little, or lightly poking yourself with a paper clip.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_nfdkOsXS7x0/RrommYbDlAI/AAAAAAAAAFA/QQxFagvx56I/s1600-h/Ouch-woman-back-pain.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="http://bp0.blogger.com/_nfdkOsXS7x0/RrommYbDlAI/AAAAAAAAAFA/QQxFagvx56I/s400/Ouch-woman-back-pain.jpg" alt="" id="BLOGGER_PHOTO_ID_5096428369155953666" border="0" /&gt;&lt;/a&gt;&lt;span style="font-size:130%;"&gt;5. Head Stand&lt;/span&gt;&lt;br /&gt;A head stand will force blood to your head. Resulting in increased alertness&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/Rronn4bDlBI/AAAAAAAAAFI/aooan9k6oAc/s1600-h/5FC34-headstand.gif"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer;" src="http://bp2.blogger.com/_nfdkOsXS7x0/Rronn4bDlBI/AAAAAAAAAFI/aooan9k6oAc/s400/5FC34-headstand.gif" alt="" id="BLOGGER_PHOTO_ID_5096429494437385234" border="0" /&gt;&lt;/a&gt;&lt;span style="font-size:130%;"&gt;6. Flex&lt;/span&gt;&lt;br /&gt;Flex your butt muscles or leg muscles. This will result in a faster heart rate and increased alertness.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RroojIbDlFI/AAAAAAAAAFo/8AM3qDwCyX0/s1600-h/Image-Ass_2.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 176px; height: 236px;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RroojIbDlFI/AAAAAAAAAFo/8AM3qDwCyX0/s400/Image-Ass_2.jpg" alt="" id="BLOGGER_PHOTO_ID_5096430512344634450" border="0" /&gt;&lt;/a&gt;&lt;span style="font-size:130%;"&gt;7. Keep the room cold.&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:130%;"&gt;8. Excite yourself&lt;/span&gt;&lt;br /&gt;Watch some porn. Go streaking. Anything to cause excitement.&lt;br /&gt;&lt;span style="font-size:130%;"&gt;9. Make a bet&lt;/span&gt;&lt;br /&gt;Make a bet that you can stay awake for "X" amount of time. Money influences people, so i bet will influence you to stay awake.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_nfdkOsXS7x0/RronoYbDlEI/AAAAAAAAAFg/MLmojwE9CvM/s1600-h/Moneybillscoins3.jpg"&gt;&lt;img style="margin: 0px auto 10px; display: block; text-align: center; cursor: pointer; width: 299px; height: 195px;" src="http://bp0.blogger.com/_nfdkOsXS7x0/RronoYbDlEI/AAAAAAAAAFg/MLmojwE9CvM/s400/Moneybillscoins3.jpg" alt="" id="BLOGGER_PHOTO_ID_5096429503027319874" border="0" /&gt;&lt;/a&gt;&lt;span style="font-size:130%;"&gt;10. Turn everything into a Sexual Innuendo&lt;/span&gt;&lt;br /&gt;Mainly works for meetings and lectures, listen carefully to see what you can make "Dirty." "In order to solve the equation we must multiply..."&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-3461243181199431782?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/3461243181199431782'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/3461243181199431782'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/how-to-stay-awake.html' title='10 Ways to Stay Awake'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp2.blogger.com/_nfdkOsXS7x0/RrocD4bDk8I/AAAAAAAAAEg/56NV4aEmkHI/s72-c/yawn.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-9122523670952687247</id><published>2007-08-08T02:05:00.000-07:00</published><updated>2007-08-08T02:11:48.891-07:00</updated><title type='text'>Random Article - What Enginerds do when they are bored</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_fXdSU1n7ZLY/RrmIGtEXvXI/AAAAAAAAAAM/TRj2mm2Cx4s/s1600-h/wikipedia.JPG"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp0.blogger.com/_fXdSU1n7ZLY/RrmIGtEXvXI/AAAAAAAAAAM/TRj2mm2Cx4s/s320/wikipedia.JPG" alt="" id="BLOGGER_PHOTO_ID_5096254102104948082" border="0" /&gt;&lt;/a&gt;Its Friday night, no date (ever,) and nothing to do. But wait! There is always Wikipedia. Whenever I am bored I love clicking on Random Article until i see something interesting. Not only is it fun, but you also learn a lot too! YAY! New Zealand in the 2000 summer Olympics, interesting...&lt;br /&gt;&lt;br /&gt;&lt;a href="http://en.wikipedia.org/wiki/Special:Random"&gt;Random Article&lt;/a&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-9122523670952687247?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/9122523670952687247'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/9122523670952687247'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/random-article-what-enginerds-do-when.html' title='Random Article - What Enginerds do when they are bored'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp0.blogger.com/_fXdSU1n7ZLY/RrmIGtEXvXI/AAAAAAAAAAM/TRj2mm2Cx4s/s72-c/wikipedia.JPG' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-4131088077721731991</id><published>2007-08-06T05:45:00.001-07:00</published><updated>2007-08-06T06:41:30.238-07:00</updated><title type='text'>Don't live in the United States? No Internet for you!</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp1.blogger.com/_nfdkOsXS7x0/RrcdMYbDk0I/AAAAAAAAADg/98W6Ie4r7WY/s1600-h/No-Internet-for-you.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 260px; height: 223px;" src="http://bp1.blogger.com/_nfdkOsXS7x0/RrcdMYbDk0I/AAAAAAAAADg/98W6Ie4r7WY/s400/No-Internet-for-you.jpg" alt="" id="BLOGGER_PHOTO_ID_5095573601944572738" border="0" /&gt;&lt;/a&gt;Think everyone has access to the same internet? Well, maybe if you live in the US. For the rest of us, the internet is limited. Many websites (particularly the ones offering free television shows) are only available to ISPs located in the US. Why is this? Advertising? I don't think so, because it would be easy to find advertising based on location, which many websites already do.&lt;br /&gt;&lt;br /&gt;Me being an American who has lived in the US most of his life, was completely unaware of this discrimination. It was not until I went to visit my parents in the Netherlands did I become aware of the limits of the internet for countries outside the US.&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;While surfing the net I came across a website that has links to &lt;a href="http://www.eliteskills.com/free_education/"&gt;free online education&lt;/a&gt;. I browse the site and click on a link to view a podcast to learn French, It opens itunes and I get this pop up.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcet4bDk1I/AAAAAAAAADo/D8XTgSemv4M/s1600-h/Apple-itunes-US.JPG"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcet4bDk1I/AAAAAAAAADo/D8XTgSemv4M/s400/Apple-itunes-US.JPG" alt="" id="BLOGGER_PHOTO_ID_5095575276981818194" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Sorry, free French podcasts are only available for people who live in the US. I can't think of a reason why this is. Because last time I checked podcasts usually don't have advertisements. Oh well, I guess I will watch &lt;a href="http://dynamic.abc.go.com/streaming/landing"&gt;Lost&lt;/a&gt; then.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcfc4bDk2I/AAAAAAAAADw/4QK0YroVc7s/s1600-h/ABC-Lost-US.JPG"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcfc4bDk2I/AAAAAAAAADw/4QK0YroVc7s/s400/ABC-Lost-US.JPG" alt="" id="BLOGGER_PHOTO_ID_5095576084435669858" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Nope, full-length episodes are only available to viewers within the United States. I don't get to see my Lost episode AND I still had to view their advertisements. ABC profited from my visit, and did not have to use their bandwidth to send me their show.&lt;br /&gt;&lt;br /&gt;No Education, no TV, hmmmm what about Music? I then decided to go to &lt;a href="http://www.slacker.com/"&gt;Slacker Radio&lt;/a&gt; &lt;span class="mediaQuote"&gt;after hearing from PC Magazine: "It's the most exciting thing in digital music to happen in a long time."&lt;/span&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcg54bDk3I/AAAAAAAAAD4/FB8MHy-IpyM/s1600-h/Slacker-Radio-US.JPG"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/Rrcg54bDk3I/AAAAAAAAAD4/FB8MHy-IpyM/s400/Slacker-Radio-US.JPG" alt="" id="BLOGGER_PHOTO_ID_5095577682163503986" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Yep! Looks pretty fucking exciting. No Radio, no TV, no Education. And the RIAA and MPAA wonder why people are pirating? For us outside the United States, it is the only way to have access to these free services.&lt;br /&gt;&lt;span class="mediaQuote"&gt;&lt;br /&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-4131088077721731991?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/4131088077721731991'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/4131088077721731991'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/dont-live-in-united-states-no-internet.html' title='Don&apos;t live in the United States? No Internet for you!'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp1.blogger.com/_nfdkOsXS7x0/RrcdMYbDk0I/AAAAAAAAADg/98W6Ie4r7WY/s72-c/No-Internet-for-you.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-5393760489873516234</id><published>2007-08-04T02:19:00.001-07:00</published><updated>2007-08-04T02:43:53.014-07:00</updated><title type='text'>Chemistry - Methylene Blue Prank: Make your friends Pee Blue/Green</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RrRGQobDkyI/AAAAAAAAADQ/J0ddaoIhUeQ/s1600-h/200px-Methylene_blue.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrRGQobDkyI/AAAAAAAAADQ/J0ddaoIhUeQ/s400/200px-Methylene_blue.jpg" alt="" id="BLOGGER_PHOTO_ID_5094774330005623586" border="0" /&gt;&lt;/a&gt;Methylene Blue is a common Indicator used in Chemistry. Methylene blue is highly stable in the human body, and if ingested, it resists the acidic environment of the stomach as well as the many hydrolytic enzymes present. It is not significantly metabolized by the liver, and is instead quickly filtered out by the kidneys. Meaning that you wee it out instead of pooing it out. In order to make someone pee blue you would have to add small amounts of methylene blue (generally a few drops of a stain solution sufficed) to coffee, cola, or another dark beverage. The stain's color was masked by the beverage, and its taste is fairly faint. Within a few hours, the methylene blue was removed by the prank victim's kidneys, which caused his or her urine to change color. The urine may become green if little methylene blue was added; larger amounts create a deep blue color. The prank is fairly harmless if small amounts of methylene blue are used, although allergies are possible.&lt;br /&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RrRIIobDkzI/AAAAAAAAADY/N_2hKSfnTBo/s1600-h/bluepee.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrRIIobDkzI/AAAAAAAAADY/N_2hKSfnTBo/s400/bluepee.jpg" alt="" id="BLOGGER_PHOTO_ID_5094776391589925682" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;b&gt;WARNING: Make sure you know the risks and read all relevant MSDS sheets before trying this on yourself or others! Some people may be allergic to Methylene Blue dye.&lt;/b&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;Allergies with Methylene Blue are very rare. And the indicator is harmless in small doses (It is often used in medicine.)  The only real danger is that other harmful chemicals could have contaminated the indicator (Mainly from High School chemistry kids not using the chemical properly.) But if you order your own online, or "borrow" some that has not been contaminated, there is no need to worry.&lt;br /&gt;&lt;br /&gt;Have fun!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-5393760489873516234?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/5393760489873516234'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/5393760489873516234'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/chemistry-methylene-blue-prank-make.html' title='Chemistry - Methylene Blue Prank: Make your friends Pee Blue/Green'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp3.blogger.com/_nfdkOsXS7x0/RrRGQobDkyI/AAAAAAAAADQ/J0ddaoIhUeQ/s72-c/200px-Methylene_blue.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-2051774579342792168</id><published>2007-08-04T02:09:00.001-07:00</published><updated>2007-08-04T02:16:17.452-07:00</updated><category scheme='http://www.blogger.com/atom/ns#' term='Math'/><category scheme='http://www.blogger.com/atom/ns#' term='Pi'/><title type='text'>Pi - An Interesting Representation</title><content type='html'>&lt;div class="thumb tright"&gt;&lt;div style="text-align: center;"&gt; &lt;/div&gt;&lt;div class="thumbinner" style="width: 362px;"&gt;&lt;div style="text-align: left;"&gt;&lt;br /&gt;While on Wikipedia I saw an interesting Representation of the value of Pi. Basically if a circle's diameter is 1 (Radius = 0.5) The circumference will be Pi according to the circumference equation (c = 2Pi*R). Or in other words, if you take a circle with a diameter of 1 and roll it, it will travel Pi units per rotation. &lt;a href="http://en.wikipedia.org/wiki/Image:Pi-unrolled-720.gif" class="internal" title="When a circle's diameter is 1, its circumference is π."&gt;&lt;img alt="When a circle's diameter is 1, its circumference is π." longdesc="/wiki/Image:Pi-unrolled-720.gif" class="thumbimage" src="http://upload.wikimedia.org/wikipedia/commons/thumb/2/2a/Pi-unrolled-720.gif/360px-Pi-unrolled-720.gif" height="114" width="360" /&gt;&lt;/a&gt;&lt;/div&gt; &lt;div class="thumbcaption"&gt; &lt;div class="magnify" style="float: right;"&gt;&lt;a href="http://en.wikipedia.org/wiki/Image:Pi-unrolled-720.gif" class="internal" title="Enlarge"&gt;&lt;br /&gt;&lt;/a&gt;&lt;/div&gt;&lt;/div&gt; &lt;/div&gt; &lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-2051774579342792168?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/2051774579342792168'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/2051774579342792168'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/pi-interesting-representation.html' title='Pi - An Interesting Representation'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-7802662769224336525</id><published>2007-08-03T08:44:00.000-07:00</published><updated>2007-08-03T11:14:18.547-07:00</updated><title type='text'>Calculus - Product Rule</title><content type='html'>&lt;span style="font-weight: bold;font-size:130%;" &gt;Equation&lt;br /&gt;&lt;/span&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp1.blogger.com/_nfdkOsXS7x0/RrNrtYbDkeI/AAAAAAAAAAw/UN8h0zinXks/s1600-h/pr1.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp1.blogger.com/_nfdkOsXS7x0/RrNrtYbDkeI/AAAAAAAAAAw/UN8h0zinXks/s320/pr1.jpg" alt="" id="BLOGGER_PHOTO_ID_5094534030880379362" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;The equation is read: The derivative of &lt;span style="font-weight: bold;"&gt;(f * g) &lt;/span&gt;is equal to: the &lt;span style="font-weight: bold;"&gt;(derivative of f&lt;/span&gt; times &lt;span style="font-weight: bold;"&gt;g)&lt;/span&gt; + &lt;span style="font-weight: bold;"&gt;(f&lt;/span&gt; times the &lt;span style="font-weight: bold;"&gt;derivate of g)&lt;/span&gt;.&lt;br /&gt;&lt;br /&gt;&lt;p style="font-weight: bold;"&gt;&lt;span style="font-size:130%;"&gt;Proof&lt;/span&gt;&lt;/p&gt;&lt;p&gt;Suppose&lt;/p&gt;&lt;p&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrNr7obDkfI/AAAAAAAAAA4/rv9svEIJelo/s1600-h/pr2.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrNr7obDkfI/AAAAAAAAAA4/rv9svEIJelo/s320/pr2.jpg" alt="" id="BLOGGER_PHOTO_ID_5094534275693515250" border="0" /&gt;&lt;/a&gt;&lt;/p&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;and that &lt;i&gt;f&lt;/i&gt; and &lt;i&gt;g&lt;/i&gt; are each differentiable at the fixed number &lt;i&gt;x&lt;/i&gt;. Then&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp1.blogger.com/_nfdkOsXS7x0/RrNsXYbDkgI/AAAAAAAAABA/4hKqHaMknHQ/s1600-h/pr3.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp1.blogger.com/_nfdkOsXS7x0/RrNsXYbDkgI/AAAAAAAAABA/4hKqHaMknHQ/s320/pr3.jpg" alt="" id="BLOGGER_PHOTO_ID_5094534752434885122" border="0" /&gt;&lt;/a&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Now the difference&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_nfdkOsXS7x0/RrNsrIbDkhI/AAAAAAAAABI/uhDyUcoHUOs/s1600-h/pr4.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp0.blogger.com/_nfdkOsXS7x0/RrNsrIbDkhI/AAAAAAAAABI/uhDyUcoHUOs/s320/pr4.jpg" alt="" id="BLOGGER_PHOTO_ID_5094535091737301522" border="0" /&gt;&lt;/a&gt;&lt;/dd&gt;&lt;/dl&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;p&gt;is the area of the big rectangle minus the area of the small rectangle in the illustration.&lt;/p&gt; &lt;div class="center"&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp1.blogger.com/_nfdkOsXS7x0/RrNucYbDkmI/AAAAAAAAABw/UOEdzSM5OrA/s1600-h/750px-Productrule.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp1.blogger.com/_nfdkOsXS7x0/RrNucYbDkmI/AAAAAAAAABw/UOEdzSM5OrA/s320/750px-Productrule.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537037357486690" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;br /&gt;&lt;/div&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;That L-shaped region can be split into two rectangles, the sum of whose areas is readily seen to be:&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrNucobDknI/AAAAAAAAAB4/X9K2YxLuNwM/s1600-h/pr5.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrNucobDknI/AAAAAAAAAB4/X9K2YxLuNwM/s320/pr5.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537041652454002" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;(The illustration disagrees with some special cases, since &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;w&lt;/i&gt;) need not actually be bigger than &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) and &lt;i&gt;g&lt;/i&gt;(&lt;i&gt;w&lt;/i&gt;) need not actually be bigger than &lt;i&gt;g&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;). Nonetheless, the equality of (2) and (3) is easily checked by algebra.)&lt;/p&gt; &lt;p&gt;Therefore the expression in (1) is equal to&lt;/p&gt;&lt;p&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrNucobDkoI/AAAAAAAAACA/pgnykyxDYvo/s1600-h/pr6.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrNucobDkoI/AAAAAAAAACA/pgnykyxDYvo/s320/pr6.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537041652454018" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;If all four of the limits in (5) below exist, then the expression in (4) is equal to&lt;/p&gt;&lt;p&gt; &lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RrNuc4bDkpI/AAAAAAAAACI/y-yDSSvDrNg/s1600-h/pr7.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrNuc4bDkpI/AAAAAAAAACI/y-yDSSvDrNg/s320/pr7.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537045947421330" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;Now&lt;/p&gt;&lt;p&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RrNuc4bDkqI/AAAAAAAAACQ/7fpqKz46CQI/s1600-h/pr8.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrNuc4bDkqI/AAAAAAAAACQ/7fpqKz46CQI/s320/pr8.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537045947421346" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;because &lt;i&gt;f&lt;/i&gt;(&lt;i&gt;x&lt;/i&gt;) remains constant as &lt;i&gt;w&lt;/i&gt; → &lt;i&gt;x&lt;/i&gt;;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp0.blogger.com/_nfdkOsXS7x0/RrNvRIbDkrI/AAAAAAAAACY/Sg_e9i07gqU/s1600-h/pr9.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp0.blogger.com/_nfdkOsXS7x0/RrNvRIbDkrI/AAAAAAAAACY/Sg_e9i07gqU/s320/pr9.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537943595586226" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;because &lt;i&gt;g&lt;/i&gt; is differentiable at &lt;i&gt;x&lt;/i&gt;;&lt;/p&gt;&lt;p&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp2.blogger.com/_nfdkOsXS7x0/RrNvRobDksI/AAAAAAAAACg/-xIntSO3WbA/s1600-h/pr10.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp2.blogger.com/_nfdkOsXS7x0/RrNvRobDksI/AAAAAAAAACg/-xIntSO3WbA/s320/pr10.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537952185520834" border="0" /&gt;&lt;/a&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;because &lt;i&gt;f&lt;/i&gt; is differentiable at &lt;i&gt;x&lt;/i&gt;;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;and now the "hard" one:&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;p&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrNvR4bDktI/AAAAAAAAACo/_GOE0ia_NWE/s320/pr11.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537956480488146" border="0" /&gt;&lt;/p&gt; &lt;/dd&gt;&lt;/dl&gt; &lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt;&lt;p&gt;because &lt;i&gt;g&lt;/i&gt; is continuous at &lt;i&gt;x&lt;/i&gt;. How do we know &lt;i&gt;g&lt;/i&gt; is continuous at &lt;i&gt;x&lt;/i&gt;? Because another theorem says differentiable functions are continuous.&lt;/p&gt; &lt;p&gt;We conclude that the expression in (5) is equal to&lt;/p&gt;&lt;p&gt;&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp3.blogger.com/_nfdkOsXS7x0/RrNvR4bDkuI/AAAAAAAAACw/vT1ZNN31Nig/s1600-h/pr12.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer;" src="http://bp3.blogger.com/_nfdkOsXS7x0/RrNvR4bDkuI/AAAAAAAAACw/vT1ZNN31Nig/s320/pr12.jpg" alt="" id="BLOGGER_PHOTO_ID_5094537956480488162" border="0" /&gt;&lt;/a&gt;&lt;/p&gt;&lt;p&gt;&lt;br /&gt;&lt;/p&gt; &lt;dl&gt;&lt;dd&gt;&lt;br /&gt;&lt;/dd&gt;&lt;dt&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-size:130%;"&gt;Example&lt;/span&gt;&lt;/span&gt;&lt;/dt&gt;&lt;/dl&gt;y = sin(x) * x&lt;br /&gt;&lt;br /&gt;1. First, derive &lt;span style="font-weight: bold;"&gt;sin(x)&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;x&lt;/span&gt; separately. &lt;span style="font-weight: bold;"&gt;sin(x)&lt;/span&gt; represents  &lt;span style="font-weight: bold;"&gt;f&lt;/span&gt; in the equation for the product             rule and &lt;span style="font-weight: bold;"&gt;x&lt;/span&gt; represents &lt;span style="font-weight: bold;"&gt;g&lt;/span&gt;.&lt;br /&gt;&lt;ul&gt;&lt;li&gt;You should get &lt;span style="font-weight: bold;"&gt;cos(x)&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;1&lt;/span&gt; (&lt;span style="font-weight: bold;"&gt; f'&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;g'&lt;/span&gt; respectively)&lt;/li&gt;&lt;/ul&gt;    2.  Now we have:&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;           f = sin(x)&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;            g = x&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;            f' = cos(x)&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;           g' = 1&lt;/span&gt;&lt;br /&gt;3. Now plug in the variables into the Product Rule equation.&lt;br /&gt;&lt;ul&gt;&lt;li&gt;      You should get: &lt;span style="font-weight: bold;"&gt;y' =&lt;/span&gt; &lt;span style="font-weight: bold;"&gt;cos(x)*x + sin(x) &lt;/span&gt;&lt;br /&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-weight: bold;"&gt;Going Further&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;&lt;br /&gt;If you know the product rule you never have to use the quotient rule.&lt;br /&gt;For example:&lt;br /&gt;&lt;br /&gt;y = sin(x)/x&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;1. First, rewrite the equation into the Product rule form.&lt;ul&gt;&lt;li&gt;y = sin(x) * (1/x)&lt;/li&gt;&lt;li&gt;Tip: 1/x is equal to x^-1&lt;br /&gt;&lt;/li&gt;&lt;/ul&gt;    2. Now derive &lt;span style="font-weight: bold;"&gt;sin(x)&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;1/x&lt;/span&gt; separately. &lt;span style="font-weight: bold;"&gt;sin(x)&lt;/span&gt; represents &lt;span style="font-weight: bold;"&gt;f&lt;/span&gt; in the equation for the product          rule and &lt;span style="font-weight: bold;"&gt;1/x&lt;/span&gt; represents &lt;span style="font-weight: bold;"&gt;g&lt;/span&gt;.&lt;br /&gt;&lt;ul&gt;&lt;li&gt;   You should get &lt;span style="font-weight: bold;"&gt;cos(x)&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;-x^-2&lt;/span&gt; (&lt;span style="font-weight: bold;"&gt; f'&lt;/span&gt; and &lt;span style="font-weight: bold;"&gt;g'&lt;/span&gt; respectively)&lt;/li&gt;&lt;/ul&gt;    3. Now we have:&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;           f = sin(x)&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;            g = x^-1&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;            f' = cos(x)&lt;/span&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;           g' = -x^-2&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;4. Now plug in the variables into the Product Rule equation.&lt;br /&gt;&lt;ul&gt;&lt;li&gt;You should get: &lt;span style="font-weight: bold;"&gt;y' =&lt;/span&gt; &lt;span style="font-weight: bold;"&gt;cos(x)*(x^-1) + sin(x)*(-x^-2)&lt;/span&gt;&lt;/li&gt;&lt;li&gt;&lt;span style="font-size:100%;"&gt;When simplified you should get:&lt;/span&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-size:100%;"&gt; y' = 0&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;&lt;span style="font-weight: bold;"&gt;&lt;br /&gt;&lt;/span&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-weight: bold;"&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;&lt;/span&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-7802662769224336525?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/7802662769224336525'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/7802662769224336525'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/calculus-product-rule.html' title='Calculus - Product Rule'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp1.blogger.com/_nfdkOsXS7x0/RrNrtYbDkeI/AAAAAAAAAAw/UN8h0zinXks/s72-c/pr1.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-2709304032573666112</id><published>2007-08-03T07:17:00.000-07:00</published><updated>2007-08-03T08:25:14.235-07:00</updated><title type='text'>Chemisty - Aerogel</title><content type='html'>&lt;a onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}" href="http://bp1.blogger.com/_nfdkOsXS7x0/RrNHvYbDkcI/AAAAAAAAAAg/VTdeStiMZNQ/s1600-h/Aerogelbrick.jpg"&gt;&lt;img style="margin: 0pt 10px 10px 0pt; float: left; cursor: pointer; width: 194px; height: 205px;" src="http://bp1.blogger.com/_nfdkOsXS7x0/RrNHvYbDkcI/AAAAAAAAAAg/VTdeStiMZNQ/s320/Aerogelbrick.jpg" alt="" id="BLOGGER_PHOTO_ID_5094494482821517762" border="0" /&gt;&lt;/a&gt;&lt;br /&gt;&lt;div style="text-align: left;"&gt;&lt;b&gt;Aerogel&lt;/b&gt; is a low-density &lt;a href="http://en.wikipedia.org/wiki/Solid" title="Solid"&gt;solid-state&lt;/a&gt; material derived from &lt;a href="http://en.wikipedia.org/wiki/Gel" title="Gel"&gt;gel&lt;/a&gt; in which the liquid component of the gel has been replaced with gas. The result is an extremely low density solid with several remarkable properties, most notably its effectiveness as an insulator. It is nicknamed &lt;b&gt;frozen smoke&lt;/b&gt;, &lt;b&gt;solid smoke&lt;/b&gt; or &lt;b&gt;blue smoke&lt;/b&gt; due to its semi-transparent nature and the way light scatters in the material; however, it feels like &lt;a href="http://en.wikipedia.org/wiki/Polystyrene#Solid_foam" title="Polystyrene"&gt;expanded polystyrene&lt;/a&gt; (&lt;a href="http://en.wikipedia.org/wiki/Styrofoam" title="Styrofoam"&gt;Styrofoam&lt;/a&gt;) to the touch.&lt;br /&gt;&lt;/div&gt;&lt;br /&gt;&lt;span style="font-size:130%;"&gt;&lt;span style="font-weight: bold;"&gt;Production&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;p&gt;Silica aerogel is made by drying a &lt;a href="http://en.wikipedia.org/wiki/Hydrogel" title="Hydrogel"&gt;hydrogel&lt;/a&gt; composed of &lt;a href="http://en.wikipedia.org/wiki/Colloid" title="Colloid"&gt;colloidal&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Silica" title="Silica"&gt;silica&lt;/a&gt; in an extreme environment. Specifically, the process starts with a liquid alcohol like &lt;a href="http://en.wikipedia.org/wiki/Ethanol" title="Ethanol"&gt;ethanol&lt;/a&gt; which is mixed with a &lt;a href="http://en.wikipedia.org/wiki/Silicon_alkoxide" title="Silicon alkoxide"&gt;silicon alkoxide&lt;/a&gt; &lt;a href="http://en.wiktionary.org/wiki/Precursor" class="extiw" title="wiktionary:Precursor"&gt;precursor&lt;/a&gt; to form a &lt;a href="http://en.wikipedia.org/wiki/Silicon_dioxide" title="Silicon dioxide"&gt;silicon dioxide&lt;/a&gt; &lt;a href="http://en.wikipedia.org/wiki/Sol_gel" title="Sol gel"&gt;sol gel&lt;/a&gt; (&lt;a href="http://en.wikipedia.org/wiki/Silica_gel" title="Silica gel"&gt;silica gel&lt;/a&gt;). Then, through a process called &lt;a href="http://en.wikipedia.org/wiki/Supercritical_drying" title="Supercritical drying"&gt;supercritical drying&lt;/a&gt;, the alcohol is removed from the &lt;a href="http://en.wikipedia.org/wiki/Gel" title="Gel"&gt;gel&lt;/a&gt;. This is typically done by exchanging the ethanol for liquid acetone, allowing a better miscibility gradient, and then onto liquid &lt;a href="http://en.wikipedia.org/wiki/Carbon_dioxide" title="Carbon dioxide"&gt;carbon dioxide&lt;/a&gt; and then bringing the carbon dioxide above its &lt;a href="http://en.wikipedia.org/wiki/Critical_point_%28chemistry%29" title="Critical point (chemistry)"&gt;critical point&lt;/a&gt;. A variant on this process involves the direct injection of &lt;a href="http://en.wikipedia.org/wiki/Supercritical_carbon_dioxide" title="Supercritical carbon dioxide"&gt;supercritical carbon dioxide&lt;/a&gt; into the pressure vessel containing the aerogel. The end result removes all liquid from the gel and replaces it with gas, without allowing the gel structure to collapse or lose volume.&lt;/p&gt; &lt;p&gt;Aerogel composites have been made using a variety of continuous and discontinuous reinforcements. The high aspect ratio of fibers such as &lt;a href="http://en.wikipedia.org/wiki/Fiberglass" title="Fiberglass"&gt;fiberglass&lt;/a&gt; have been used to reinforce aerogel &lt;a href="http://en.wikipedia.org/wiki/Composite" title="Composite"&gt;composites&lt;/a&gt; with significantly improved mechanical properties.&lt;/p&gt; &lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/Resorcinol" title="Resorcinol"&gt;Resorcinol&lt;/a&gt;-&lt;a href="http://en.wikipedia.org/wiki/Formaldehyde" title="Formaldehyde"&gt;formaldehyde&lt;/a&gt; aerogel (RF aerogel) is made in a way similar to production of silica aerogel.&lt;/p&gt; &lt;p&gt;Carbon aerogel is made from a resorcinol-formaldehyde aerogel by its &lt;a href="http://en.wikipedia.org/wiki/Pyrolysis" title="Pyrolysis"&gt;pyrolysis&lt;/a&gt; in &lt;a href="http://en.wikipedia.org/wiki/Inert_gas" title="Inert gas"&gt;inert gas&lt;/a&gt; atmosphere, leaving a matrix of &lt;a href="http://en.wikipedia.org/wiki/Carbon" title="Carbon"&gt;carbon&lt;/a&gt;. It is commercially available as solid shapes, powders, or composite paper.&lt;/p&gt;&lt;span style="font-weight: bold;"&gt;&lt;span style="font-size:130%;"&gt;Uses&lt;br /&gt;&lt;/span&gt;&lt;/span&gt;&lt;p&gt;There are a variety of tasks for which aerogels are used. Commercially, aerogels have been used in granular form to add &lt;a href="http://en.wikipedia.org/wiki/Thermal_insulation" title="Thermal insulation"&gt;insulation&lt;/a&gt; to &lt;a href="http://en.wikipedia.org/wiki/Window#Skylight" title="Window"&gt;skylights&lt;/a&gt;. After several trips on the &lt;a href="http://en.wikipedia.org/wiki/Vomit_Comet" title="Vomit Comet"&gt;Vomit Comet&lt;/a&gt;, one &lt;a href="http://zerogaerogel.com/" class="external text" title="http://zerogaerogel.com" rel="nofollow"&gt;research team&lt;/a&gt; has shown that producing aerogel in a &lt;a href="http://en.wikipedia.org/wiki/Weightlessness" title="Weightlessness"&gt;weightless&lt;/a&gt; environment can produce particles with a more uniform size and reduce the Rayleigh scattering effect in silica aerogel, thus making the aerogel less blue and more transparent. Transparent silica aerogel would be very suitable as a thermal insulation material for windows, significantly limiting thermal losses of buildings.&lt;/p&gt; &lt;p&gt;Its high surface area leads to many applications, such as a chemical absorber for cleaning up spills (see &lt;a href="http://en.wikipedia.org/wiki/Adsorption" title="Adsorption"&gt;adsorption&lt;/a&gt;). This feature also gives it great potential as a &lt;a href="http://en.wikipedia.org/wiki/Catalyst" title="Catalyst"&gt;catalyst&lt;/a&gt; or a catalyst carrier. Aerogel particles are also used as &lt;a href="http://en.wikipedia.org/wiki/Thickening_agent" title="Thickening agent"&gt;thickening agents&lt;/a&gt; in some &lt;a href="http://en.wikipedia.org/wiki/Paint" title="Paint"&gt;paints&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Cosmetics" title="Cosmetics"&gt;cosmetics&lt;/a&gt;.&lt;/p&gt; &lt;p&gt;Aerogels are being tested for use in targets for the &lt;a href="http://en.wikipedia.org/wiki/National_Ignition_Facility" title="National Ignition Facility"&gt;National Ignition Facility&lt;/a&gt;.&lt;/p&gt; &lt;p&gt;Aerogel performance may be augmented for a specific application by the addition of &lt;a href="http://en.wikipedia.org/wiki/Dopants" title="Dopants"&gt;dopants&lt;/a&gt;, reinforcing structures, and hybridizing compounds. Using this approach, the breadth of applications for the material class may be greatly increased.&lt;/p&gt; &lt;p&gt;Commercial manufacture of aerogel 'blankets' began around the year 2000. An aerogel blanket is a &lt;a href="http://en.wikipedia.org/wiki/Composite_material" title="Composite material"&gt;composite&lt;/a&gt; of silica aerogel and fibrous reinforcement that turns the brittle aerogel into a durable, flexible material. The mechanical and thermal properties of the product may be varied based upon the choice of reinforcing fibers, the aerogel matrix, and opacification additives included in the composite. &lt;a href="http://en.wikipedia.org/wiki/NASA" title="NASA"&gt;NASA&lt;/a&gt; used aerogel to trap &lt;a href="http://en.wikipedia.org/wiki/Space_dust" title="Space dust"&gt;space dust&lt;/a&gt; particles aboard the &lt;a href="http://en.wikipedia.org/wiki/Stardust_%28spacecraft%29" title="Stardust (spacecraft)"&gt;Stardust&lt;/a&gt; spacecraft. The particles vaporize on impact with solids and pass through gases, but can be trapped in aerogels. NASA also used aerogel for &lt;a href="http://en.wikipedia.org/wiki/Thermal_insulation" title="Thermal insulation"&gt;thermal insulation&lt;/a&gt; of the &lt;a href="http://en.wikipedia.org/wiki/Mars_Rover" title="Mars Rover"&gt;Mars Rover&lt;/a&gt; and &lt;a href="http://en.wikipedia.org/wiki/Space_suit" title="Space suit"&gt;space suits&lt;/a&gt;.&lt;/p&gt; &lt;p&gt;Aerogels are also used in &lt;a href="http://en.wikipedia.org/wiki/Particle_physics" title="Particle physics"&gt;particle physics&lt;/a&gt; as radiators in &lt;a href="http://en.wikipedia.org/wiki/Cherenkov_effect" title="Cherenkov effect"&gt;Cherenkov effect&lt;/a&gt; detectors. ACC system of the Belle detector, used in the &lt;a href="http://en.wikipedia.org/wiki/Belle_Experiment" title="Belle Experiment"&gt;Belle Experiment&lt;/a&gt; at &lt;a href="http://en.wikipedia.org/wiki/KEKB_%28accelerator%29" title="KEKB (accelerator)"&gt;KEKB&lt;/a&gt;, is a recent example of such use. The suitability of aerogels is determined by their low &lt;a href="http://en.wikipedia.org/wiki/Index_of_refraction" title="Index of refraction"&gt;index of refraction&lt;/a&gt;, filling the gap between gases and liquids, and their transparency and solid state, making them easier to use than &lt;a href="http://en.wikipedia.org/wiki/Cryogenic" title="Cryogenic"&gt;cryogenic&lt;/a&gt; liquids or compressed gases. Their low mass is also advantageous for space missions.&lt;/p&gt; &lt;p&gt;&lt;a href="http://en.wikipedia.org/wiki/Resorcinol" title="Resorcinol"&gt;Resorcinol&lt;/a&gt;-&lt;a href="http://en.wikipedia.org/wiki/Formaldehyde" title="Formaldehyde"&gt;formaldehyde&lt;/a&gt; aerogels (polymers chemically similar to &lt;a href="http://en.wikipedia.org/wiki/Phenol_formaldehyde_resin" title="Phenol formaldehyde resin"&gt;phenol formaldehyde resins&lt;/a&gt;) are mostly used as precursors for manufacture of carbon aerogels, or when an organic insulator with large surface is desired. They come as high-density material, with surface area about 600 m²/g.&lt;/p&gt; &lt;p&gt;Metal-aerogel nanocomposites can be prepared by impregnating the hydrogel with solution containing ions of the suitable &lt;a href="http://en.wikipedia.org/wiki/Noble_metal" title="Noble metal"&gt;noble&lt;/a&gt; or &lt;a href="http://en.wikipedia.org/wiki/Transition_metal" title="Transition metal"&gt;transition&lt;/a&gt; metals. The impregnated hydrogel is then irradiated with &lt;a href="http://en.wikipedia.org/wiki/Gamma_ray" title="Gamma ray"&gt;gamma rays&lt;/a&gt;, leading to precipitation of nanoparticles of the metal. Such composites can be used as eg. &lt;a href="http://en.wikipedia.org/wiki/Catalyst" title="Catalyst"&gt;catalysts&lt;/a&gt;, sensors, &lt;a href="http://en.wikipedia.org/wiki/Electromagnetic_shielding" title="Electromagnetic shielding"&gt;electromagnetic shielding&lt;/a&gt;, and in waste disposal. A prospective use of platinum-on-carbon catalysts is in &lt;a href="http://en.wikipedia.org/wiki/Fuel_cell" title="Fuel cell"&gt;fuel cells&lt;/a&gt;.&lt;/p&gt; &lt;p&gt;Aerogel can be used as drug delivery system due to its biocompatibility. Due to its high surface area and porous structure, drugs can be adsorbed from supercritical CO2. The release rate of the drugs can be tailored based on the properties of aerogel.&lt;/p&gt; &lt;p&gt;Carbon aerogels are used in the construction of small electrochemical double layer &lt;a href="http://en.wikipedia.org/wiki/Supercapacitors" title="Supercapacitors"&gt;supercapacitors&lt;/a&gt;. Due to the high surface area of the aerogel, these capacitors can be 2000 to 5000 times smaller than similarly rated electrolytic capacitors.&lt;/p&gt; &lt;p&gt;Dunlop tennis has recently incorporated Aerogel into the mold of its new series of racquets. Dunlop have also used it in squash racquets&lt;/p&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-2709304032573666112?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/2709304032573666112'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/2709304032573666112'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/08/chemisty-aerogel.html' title='Chemisty - Aerogel'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media='http://search.yahoo.com/mrss/' url='http://bp1.blogger.com/_nfdkOsXS7x0/RrNHvYbDkcI/AAAAAAAAAAg/VTdeStiMZNQ/s72-c/Aerogelbrick.jpg' height='72' width='72'/></entry><entry><id>tag:blogger.com,1999:blog-9193802852535869971.post-3060339998154150413</id><published>2007-01-27T19:06:00.000-08:00</published><updated>2007-01-27T19:06:14.269-08:00</updated><title type='text'>Birthday Calculator</title><content type='html'>&lt;a href="http://www.paulsadowski.com/BirthDay.asp"&gt;Birthday Calculator&lt;/a&gt;&lt;br /&gt;I found this really cool website where you can find random information about your birthday. Try it!&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/9193802852535869971-3060339998154150413?l=wikijo.blogspot.com' alt='' /&gt;&lt;/div&gt;</content><link rel='related' href='http://www.paulsadowski.com/BirthDay.asp' title='Birthday Calculator'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/3060339998154150413'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/9193802852535869971/posts/default/3060339998154150413'/><link rel='alternate' type='text/html' href='http://wikijo.blogspot.com/2007/01/birthday-calculator.html' title='Birthday Calculator'/><author><name>Svenn</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='http://img2.blogblog.com/img/b16-rounded.gif'/></author></entry></feed>
