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<channel>
	<title>irisan &amp;laquo; WordPress.com Tag Feed</title>
	<link>http://en.wordpress.com/tag/irisan/</link>
	<description>Feed of posts on WordPress.com tagged "irisan"</description>
	<pubDate>Thu, 23 May 2013 04:27:55 +0000</pubDate>

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

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<title><![CDATA[Irisan, Baguio City (Vacant Lot)]]></title>
<link>http://dreamcompanyltd.wordpress.com/2012/03/11/irisan-baguio-city-vacant-lot/</link>
<pubDate>Sun, 11 Mar 2012 05:34:07 +0000</pubDate>
<dc:creator>Dream Realty Engagement Appraisal &amp; Management Company Ltd.</dc:creator>
<guid>http://dreamcompanyltd.wordpress.com/2012/03/11/irisan-baguio-city-vacant-lot/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[<p style="text-align:center;"><img class="aligncenter" src="http://a3.sphotos.ak.fbcdn.net/hphotos-ak-ash4/428715_335254559831131_248051595218095_1095297_1895983135_n.jpg" alt="" width="538" height="426" /></p>
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<item>
<title><![CDATA[Some Photos from Pamaskong Handog]]></title>
<link>http://westbaguiobaptist.wordpress.com/2011/12/12/some-photos-from-pamaskong-handog/</link>
<pubDate>Mon, 12 Dec 2011 14:39:46 +0000</pubDate>
<dc:creator>missionmusings</dc:creator>
<guid>http://westbaguiobaptist.wordpress.com/2011/12/12/some-photos-from-pamaskong-handog/</guid>
<description><![CDATA[]]></description>
<content:encoded><![CDATA[<p><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/044.jpg"><img class="aligncenter size-medium wp-image-177" title="044" src="http://westbaguiobaptist.files.wordpress.com/2011/12/044.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/035.jpg"><img class="aligncenter size-medium wp-image-170" title="035" src="http://westbaguiobaptist.files.wordpress.com/2011/12/035.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/034.jpg"><img class="aligncenter size-medium wp-image-171" title="034" src="http://westbaguiobaptist.files.wordpress.com/2011/12/034.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/037.jpg"><img class="aligncenter size-medium wp-image-172" title="037" src="http://westbaguiobaptist.files.wordpress.com/2011/12/037.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/041.jpg"><img class="aligncenter size-medium wp-image-173" title="041" src="http://westbaguiobaptist.files.wordpress.com/2011/12/041.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/042.jpg"><img class="aligncenter size-medium wp-image-175" title="042" src="http://westbaguiobaptist.files.wordpress.com/2011/12/042.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/047.jpg"><img class="aligncenter size-medium wp-image-176" title="047" src="http://westbaguiobaptist.files.wordpress.com/2011/12/047.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><a href="http://westbaguiobaptist.files.wordpress.com/2011/12/051.jpg"><img class="aligncenter size-medium wp-image-174" title="051" src="http://westbaguiobaptist.files.wordpress.com/2011/12/051.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a></p>
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<item>
<title><![CDATA[Trashtalking]]></title>
<link>http://johnlevimasuli.wordpress.com/2011/09/17/trashtalking/</link>
<pubDate>Sat, 17 Sep 2011 20:41:47 +0000</pubDate>
<dc:creator>John Levi Masuli</dc:creator>
<guid>http://johnlevimasuli.wordpress.com/2011/09/17/trashtalking/</guid>
<description><![CDATA[Phtoto from http://www.nobystanders.net/2011/09/groups-demand-closure-of-all-dumps.html Last Septemb]]></description>
<content:encoded><![CDATA[<div id="attachment_160" class="wp-caption alignleft" style="width: 310px"><a href="http://johnlevimasuli.files.wordpress.com/2011/09/05092011344.jpg"><img class="size-medium wp-image-160" title="" src="http://johnlevimasuli.files.wordpress.com/2011/09/05092011344.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><p class="wp-caption-text">Phtoto from <a href="http://www.nobystanders.net/2011/09/groups-demand-closure-of-all-dumps.html" rel="nofollow">http://www.nobystanders.net/2011/09/groups-demand-closure-of-all-dumps.html</a></p></div>
<p>Last September 16, Levi Glen and I got a chance to talk with Councilor Jose Molintas, a respected lawyer and politician in Baguio. I better admit it— he is not the typical politician I know. He is very energetic—a literal brisk-walker, freethinker, and young-at-heart (he even cracked some rather hearty jokes with us, and guess what, he will pass as a good joker too). From the outward appearance to the manners of his speech, he is very respectable. Levi G and I felt like jesters hanging to the gown of some noble.</p>
<p>He opened the issue about the Irisan dumpsite, which is currently subject to much controversy. With 15 persons killed in a fatal ‘dumpslide’, the death toll itself amounted to that of the Payatas Dumpsite tragedy. More than the number of deaths, however, is the idea that people are dying of suffocation in stinking garbage that the people of Baguio think they trashed to outer space.</p>
<p>Molintas expressed a deep concern for this issue, for he said that he has been one of the railroaders of the closure of the dumpsite since 1999. His premises remained the same (1) the Irisan dumpsite is becoming full, so the city government must allot budget to create a new landfill; (2) the accumulating garbage is a constant health hazard to the residents of Baguio, especially as the garbage creates a ‘garbage fluid’, or whatever they call it, that may seep in to the city’s water system; (3) the government’s scheme for solid waste disposal is ineffective and therefore must be resolved as soon as possible.</p>
<div id="attachment_161" class="wp-caption alignleft" style="width: 310px"><a href="http://johnlevimasuli.files.wordpress.com/2011/09/loridale2009_0412dumpsite.jpg"><img class="size-medium wp-image-161" title="loridale2009_0412dumpsite" src="http://johnlevimasuli.files.wordpress.com/2011/09/loridale2009_0412dumpsite.jpg?w=300&#038;h=225" alt="" width="300" height="225" /></a><p class="wp-caption-text">Photo by loridale2009_0412dumpsite, from the Northern Dispatch</p></div>
<p>Through his lucid and emotional words, he described to us the true situation of the Irisan dumpsite. Let me illustrate this to you. Imagine a small hill. At the hilltop is a large, 30-feet tall cup of cement and metal. This cup is where the trash of the whole city is disposed. In essence, this barricade at the top of the hill is a literal dam of trash.</p>
<p>So what will happen when a ‘dam’ gets too old and the water in it is increasing in volume? There will be an overflow. So now what the heck will happen when a cracked, dilapidated, barricade built to imprison garbage is barged with heavy rain and trash? There is no need to answer this sad question.</p>
<p>Former Mayor Bautista has been the subject of much protest because of the same dumpsite, specifically because the local residents are increasingly becoming wary that the dumpsite is a threat to life and property. According to the Northern Dispatch issue April 6, 2009, Baguio folks barricaded the front gate in order to stop the trucks from dumping the garbage. As a conclusion to this brief crisis, Mayor Bautista eventually scrapped millions from the city fund to dump garbage in Tarlac. After the issue subsided, Bautista resumed the dumping operations in Irisan like nothing happened.</p>
<p>What if the money was spent to invest in a new landfill and new machines to get rid of the solid waste? Does the local government give any damn to the lives of the innocent people, children and parents, living near the dumpsite? Does the government give any damn to the health of the people of Baguio?</p>
<p>There is something stinking about this whole issue of the Irisan dumpsite, there is no question.</p>
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<item>
<title><![CDATA[[In the news] Eyewitness identifies Army major as one of Jonas’s abductors - bulatlat.com]]></title>
<link>http://hronlineph.com/2011/09/07/in-the-news-eyewitness-identifies-army-major-as-one-of-jonas%e2%80%99s-abductors-bulatlat-com/</link>
<pubDate>Wed, 07 Sep 2011 10:53:50 +0000</pubDate>
<dc:creator>Human Rights Online Philippines</dc:creator>
<guid>http://hronlineph.com/2011/09/07/in-the-news-eyewitness-identifies-army-major-as-one-of-jonas%e2%80%99s-abductors-bulatlat-com/</guid>
<description><![CDATA[Eyewitness identifies Army major as one of Jonas’s abductors The eyewitness, a busboy at the restaur]]></description>
<content:encoded><![CDATA[Eyewitness identifies Army major as one of Jonas’s abductors The eyewitness, a busboy at the restaur]]></content:encoded>
</item>
<item>
<title><![CDATA[[In the news] Baguio City officials face raps for operating Irisan dump - www.manilatimes.net]]></title>
<link>http://hronlineph.com/2011/09/06/in-the-news-baguio-city-officials-face-raps-for-operating-irisan-dump-www-manilatimes-net/</link>
<pubDate>Tue, 06 Sep 2011 14:37:29 +0000</pubDate>
<dc:creator>Human Rights Online Philippines</dc:creator>
<guid>http://hronlineph.com/2011/09/06/in-the-news-baguio-city-officials-face-raps-for-operating-irisan-dump-www-manilatimes-net/</guid>
<description><![CDATA[Baguio City officials face raps for operating Irisan dump LARRY MADARANG AND JAIME PILAPIL BAGUIO Ci]]></description>
<content:encoded><![CDATA[Baguio City officials face raps for operating Irisan dump LARRY MADARANG AND JAIME PILAPIL BAGUIO Ci]]></content:encoded>
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<item>
<title><![CDATA[Irisan]]></title>
<link>http://life9225.wordpress.com/2011/08/27/irisan/</link>
<pubDate>Sat, 27 Aug 2011 16:18:39 +0000</pubDate>
<dc:creator>life9225</dc:creator>
<guid>http://life9225.wordpress.com/2011/08/27/irisan/</guid>
<description><![CDATA[Aku juga nggak terlalu ngerti ini teorinya gimana. Yang jelas aku dapet teorinya ini dari abangku. J]]></description>
<content:encoded><![CDATA[<p>Aku juga nggak terlalu ngerti ini teorinya gimana. Yang jelas aku dapet teorinya ini dari abangku.</p>
<p><img class="aligncenter" src="http://idkf.bogor.net/yuesbi/e-DU.KU/edukasi.net/SMP/Matematika/Irisan%20dan%20Gabungan%20Dua%20Himpunan/images/hal%2007a.png" alt="" width="320" height="250" /></p>
<p>Jadi di teori ini dijelasin kalo misalnya A &#38; B mulai berdekatan, maka A/B yang semula membandingkan keadaan dirinya dengan Semesta (S), sekarang  hanya membandingkan dirinya dengan pasangannya (A/B). Intinya kalo A baik, maka B berusaha menjadi lebih baik dari A, begitu seterusnya.</p>
<p>100% teori ini benar adanya di aku. Jadi kalo pacaran ya saling mendukung satu sama lain kan udah jadi irisan, demi masa depan yang lebih baik <img src='http://s0.wp.com/wp-includes/images/smilies/icon_biggrin.gif' alt=':D' class='wp-smiley' /> </p>
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<item>
<title><![CDATA[Medical Mission at Irisan Dumpsite]]></title>
<link>http://bukallife.wordpress.com/2011/05/23/medical-mission-at-irisan-dumpsite/</link>
<pubDate>Mon, 23 May 2011 15:50:57 +0000</pubDate>
<dc:creator>bukallifeministries</dc:creator>
<guid>http://bukallife.wordpress.com/2011/05/23/medical-mission-at-irisan-dumpsite/</guid>
<description><![CDATA[Doing ministry work at a dumpsite in the Philippines is a touchy thing. In many such locations, well]]></description>
<content:encoded><![CDATA[Doing ministry work at a dumpsite in the Philippines is a touchy thing. In many such locations, well]]></content:encoded>
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<item>
<title><![CDATA[Irisan dan Gabungan Subgrup]]></title>
<link>http://anakmtk.wordpress.com/?p=699</link>
<pubDate>Wed, 15 Dec 2010 02:44:06 +0000</pubDate>
<dc:creator>fendymu</dc:creator>
<guid>http://anakmtk.wordpress.com/?p=699</guid>
<description><![CDATA[Misalkan G sebuah grup dan H,K merupakan dua buah subgrupnya. Apa yang bisa kita katakan untuk irisa]]></description>
<content:encoded><![CDATA[<p>Misalkan G sebuah grup dan H,K merupakan dua buah subgrupnya. Apa yang bisa kita katakan untuk irisan maupun gabungan keduanya?</p>
<p><em><strong>PROPOSISI. Bagi semua <img src='http://s0.wp.com/latex.php?latex=H%2CK%5Cleq+G&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H,K&#92;leq G' title='H,K&#92;leq G' class='latex' />, <img src='http://s0.wp.com/latex.php?latex=H%5Ccap+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cap K' title='H&#92;cap K' class='latex' /> merupakan subgrup.</strong></em></p>
<p>bukti: Pertama jelas <img src='http://s0.wp.com/latex.php?latex=H%5Ccap+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cap K' title='H&#92;cap K' class='latex' /> tak kosong, sebab e dimuat H dan K. Kemudian ambil <img src='http://s0.wp.com/latex.php?latex=a%2Cb%5Cin+H%5Ccap+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a,b&#92;in H&#92;cap K' title='a,b&#92;in H&#92;cap K' class='latex' />. Maka <img src='http://s0.wp.com/latex.php?latex=a%2Cb%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a,b&#92;in H' title='a,b&#92;in H' class='latex' /> sehingga <img src='http://s0.wp.com/latex.php?latex=ab%5E%7B-1%7D%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab^{-1}&#92;in H' title='ab^{-1}&#92;in H' class='latex' /> (<a href="http://anakmtk.wordpress.com/2010/12/09/kriteria-subgrup/">kriteria subgrup</a>). Juga <img src='http://s0.wp.com/latex.php?latex=a%2Cb%5Cin+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a,b&#92;in K' title='a,b&#92;in K' class='latex' />, sehingga <img src='http://s0.wp.com/latex.php?latex=ab%5E%7B-1%7D%5Cin+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab^{-1}&#92;in K' title='ab^{-1}&#92;in K' class='latex' />. Maka <img src='http://s0.wp.com/latex.php?latex=ab%5E%7B-1%7D%5Cin+H%5Ccap+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab^{-1}&#92;in H&#92;cap K' title='ab^{-1}&#92;in H&#92;cap K' class='latex' />, sehingga pasti <img src='http://s0.wp.com/latex.php?latex=H%5Ccap+K%5Cleq+G&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cap K&#92;leq G' title='H&#92;cap K&#92;leq G' class='latex' />. [QED]</p>
<p>Bagaimana dengan <img src='http://s0.wp.com/latex.php?latex=H%5Ccup+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cup K' title='H&#92;cup K' class='latex' /> ? Contoh sederhana berikut mendemonstrasikan bahwa <img src='http://s0.wp.com/latex.php?latex=H%5Ccup+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cup K' title='H&#92;cup K' class='latex' /> bukan selalu merupakan subgrup.<!--more--></p>
<p>Pandang grup <img src='http://s0.wp.com/latex.php?latex=%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;mathbb{Z}' title='&#92;mathbb{Z}' class='latex' /> (terhadap operasi penjumlahan) dan subgrup-subgrup <img src='http://s0.wp.com/latex.php?latex=2%5Cmathbb%7BZ%7D%2C%5C%2C3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2&#92;mathbb{Z},&#92;,3&#92;mathbb{Z}' title='2&#92;mathbb{Z},&#92;,3&#92;mathbb{Z}' class='latex' /> dimana <img src='http://s0.wp.com/latex.php?latex=k%5Cmathbb%7BZ%7D%3D%5C%7Bkz%26%23124%3Bz%5Cin+%5Cmathbb%7BZ%7D%5C%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='k&#92;mathbb{Z}=&#92;{kz&#124;z&#92;in &#92;mathbb{Z}&#92;}' title='k&#92;mathbb{Z}=&#92;{kz&#124;z&#92;in &#92;mathbb{Z}&#92;}' class='latex' />. Pandang <img src='http://s0.wp.com/latex.php?latex=2%5Cin+2%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2&#92;in 2&#92;mathbb{Z}' title='2&#92;in 2&#92;mathbb{Z}' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=3%5Cin+3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='3&#92;in 3&#92;mathbb{Z}' title='3&#92;in 3&#92;mathbb{Z}' class='latex' />, maka <img src='http://s0.wp.com/latex.php?latex=2%2B3%3D5&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2+3=5' title='2+3=5' class='latex' /> bukanlah elemen dari <img src='http://s0.wp.com/latex.php?latex=2%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2&#92;mathbb{Z}' title='2&#92;mathbb{Z}' class='latex' /> maupun <img src='http://s0.wp.com/latex.php?latex=3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='3&#92;mathbb{Z}' title='3&#92;mathbb{Z}' class='latex' />, sehingga faktanya <img src='http://s0.wp.com/latex.php?latex=5%5Cnot%5Cin+2%5Cmathbb%7BZ%7D%5Ccup+3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='5&#92;not&#92;in 2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' title='5&#92;not&#92;in 2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' class='latex' />. Akibatnya, <img src='http://s0.wp.com/latex.php?latex=2%5Cmathbb%7BZ%7D%5Ccup+3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' title='2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' class='latex' /> tidak tertutup terhadap penjumlahan (operasi grupnya) sehingga <img src='http://s0.wp.com/latex.php?latex=2%5Cmathbb%7BZ%7D%5Ccup+3%5Cmathbb%7BZ%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' title='2&#92;mathbb{Z}&#92;cup 3&#92;mathbb{Z}' class='latex' /> bukan sebuah subgrup. Secara umum, kita mempunyai hasil berikut.</p>
<p><em><strong>PROPOSISI. Gabungan dua buah subgrup dari suatu grup adalah juga sebuah subgrup jika dan hanya jika salah satunya dimuat yang lain (sebagai subhimpunan)</strong></em>.</p>
<p>bukti: Misalkan <img src='http://s0.wp.com/latex.php?latex=H%2CK%5Cleq+G&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H,K&#92;leq G' title='H,K&#92;leq G' class='latex' /> dan misalkan <img src='http://s0.wp.com/latex.php?latex=H%5Ccup+K%5Cleq+G&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cup K&#92;leq G' title='H&#92;cup K&#92;leq G' class='latex' />. Misalkan <img src='http://s0.wp.com/latex.php?latex=K-H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='K-H' title='K-H' class='latex' /> tidak kosong dan pandang <img src='http://s0.wp.com/latex.php?latex=a%5Cin+K-H%2Cb%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a&#92;in K-H,b&#92;in H' title='a&#92;in K-H,b&#92;in H' class='latex' />. Maka <img src='http://s0.wp.com/latex.php?latex=a%2Cb%5Cin+H%5Ccup+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a,b&#92;in H&#92;cup K' title='a,b&#92;in H&#92;cup K' class='latex' />, sehingga, sebab <img src='http://s0.wp.com/latex.php?latex=H%5Ccup+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;cup K' title='H&#92;cup K' class='latex' /> merupakan subgrup, mestilah <img src='http://s0.wp.com/latex.php?latex=ab%5Cin+H%5Ccup+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab&#92;in H&#92;cup K' title='ab&#92;in H&#92;cup K' class='latex' />. Artinya <img src='http://s0.wp.com/latex.php?latex=ab%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab&#92;in H' title='ab&#92;in H' class='latex' /> atau <img src='http://s0.wp.com/latex.php?latex=ab%5Cin+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab&#92;in K' title='ab&#92;in K' class='latex' />. Kasus yang pertama tidak mungkin sebab jika <img src='http://s0.wp.com/latex.php?latex=ab%3Dh%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab=h&#92;in H' title='ab=h&#92;in H' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=a%3Dhb%5E%7B-1%7D%5Cin+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a=hb^{-1}&#92;in H' title='a=hb^{-1}&#92;in H' class='latex' />, mengontradksi pilihan a. Maka <img src='http://s0.wp.com/latex.php?latex=ab%3Dk%5Cin+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='ab=k&#92;in K' title='ab=k&#92;in K' class='latex' />, sehingga <img src='http://s0.wp.com/latex.php?latex=b%3Da%5E%7B-1%7Dk%5Cin+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='b=a^{-1}k&#92;in K' title='b=a^{-1}k&#92;in K' class='latex' />. Disimpulkan <img src='http://s0.wp.com/latex.php?latex=H%5Csubseteq+K&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='H&#92;subseteq K' title='H&#92;subseteq K' class='latex' />.</p>
<p>Jika <img src='http://s0.wp.com/latex.php?latex=K-H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='K-H' title='K-H' class='latex' /> kosong, maka tidak ada elemen K yang bukan elemen H, sehingga semua elemen K adalah elemen H. Yakni <img src='http://s0.wp.com/latex.php?latex=K%5Csubseteq+H&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='K&#92;subseteq H' title='K&#92;subseteq H' class='latex' />. [QED]</p>
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</item>
<item>
<title><![CDATA[MIMPI DAN IRISAN ROTI]]></title>
<link>http://semestahidayah.wordpress.com/2010/08/12/mimpi-dan-irisan-roti/</link>
<pubDate>Thu, 12 Aug 2010 14:43:58 +0000</pubDate>
<dc:creator>sutrisnoino</dc:creator>
<guid>http://semestahidayah.wordpress.com/2010/08/12/mimpi-dan-irisan-roti/</guid>
<description><![CDATA[MIMPI DAN IRISAN ROTI Tiga orang musafir menjadi sahabat dalam suatu perjalanan yang jauh dan melela]]></description>
<content:encoded><![CDATA[MIMPI DAN IRISAN ROTI Tiga orang musafir menjadi sahabat dalam suatu perjalanan yang jauh dan melela]]></content:encoded>
</item>
<item>
<title><![CDATA[Himpunan Pengindeks]]></title>
<link>http://anakmtk.wordpress.com/?p=321</link>
<pubDate>Sat, 17 Jul 2010 07:46:41 +0000</pubDate>
<dc:creator>fendymu</dc:creator>
<guid>http://anakmtk.wordpress.com/?p=321</guid>
<description><![CDATA[Ketika mempelajari barisan (sequence) dan deret (series) kita familiar dengan notasi semacam  yang b]]></description>
<content:encoded><![CDATA[<p>Ketika mempelajari barisan (sequence) dan deret (series) kita familiar dengan notasi semacam <img src='http://s0.wp.com/latex.php?latex=a_n&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='a_n' title='a_n' class='latex' /> yang biasanya digunakan untuk menyimbolkan &#8220;suku ke-n&#8221; dalam barisan, dimana <img src='http://s0.wp.com/latex.php?latex=n%5Cin%5Cmathbb%7BN%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='n&#92;in&#92;mathbb{N}' title='n&#92;in&#92;mathbb{N}' class='latex' />.</p>
<p>Dalam teori himpunan, ia biasa menyimbolkan &#8220;anggota ke-n&#8221;. Dengan menyatakan <img src='http://s0.wp.com/latex.php?latex=S%3D%5C%7Ba_n%26%23124%3Bn%5Cin%5Cmathbb%7BN%7D%5C%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='S=&#92;{a_n&#124;n&#92;in&#92;mathbb{N}&#92;}' title='S=&#92;{a_n&#124;n&#92;in&#92;mathbb{N}&#92;}' class='latex' /> berarti kita sedang <strong>mengindeks</strong> anggota-anggota H. Biasanya ini diperlukan untuk menekankan suatu urutan (order) tertentu dalam himpunan yang dimaksud. Sebagai contoh, himpunan semua bilangan prima dapat di-indeks oleh bilangan asli dengan mengidentifikasikan tiap bilangan prima dengan urutannya, yakni 2 sebagai bilangan prima pertama disimbolkan dengan (misalnya) <img src='http://s0.wp.com/latex.php?latex=p_1&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='p_1' title='p_1' class='latex' />, lalu 3 sebagai <img src='http://s0.wp.com/latex.php?latex=p_2&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='p_2' title='p_2' class='latex' />, 5 sebagai <img src='http://s0.wp.com/latex.php?latex=p_3&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='p_3' title='p_3' class='latex' />, dan seterusnya.</p>
<p>HIMPUNAN PENGINDEKS</p>
<p>Contoh pengindeksan/pelabelan bilangan prima barusan mengilustrasikan bahwa himpunan bilangan prima dapat diindeks oleh himpunan bilangan asli. Kita dapat pula mengindeksnya dengan himpunan lain, semisal himpunan bilangan genap.</p>
<p>Poinnya adalah<!--more-->, untuk mengindeks suatu himpunan (sebut saja S), himpunan pengindeks (sebut saja <img src='http://s0.wp.com/latex.php?latex=I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I' title='I' class='latex' />) harus memiliki cukup banyak anggota (yang masing-masingnya disebut indeks) untuk &#8220;mengidentifikasi&#8221; semua anggota dari himpunan yang akan diindeks tadi, juga identifikasi tersebut tidak boleh &#8220;rancu&#8221; (dalam artian bahwa tidak ada anggota S yang teridentifikasi oleh lebih dari satu indeks, serta tidak ada indeks yang mengidentifikasi lebih dari satu anggota).</p>
<p>Formalnya, himpunan <img src='http://s0.wp.com/latex.php?latex=I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I' title='I' class='latex' /> dikatakan <strong>mengindeks</strong> S, atau bahwa <img src='http://s0.wp.com/latex.php?latex=I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I' title='I' class='latex' /> merupakan sebuah <strong>himpunan pengindeks</strong> (indexing set) bagi S, jika terdapat suatu bijeksi <img src='http://s0.wp.com/latex.php?latex=I%5Cto+S&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I&#92;to S' title='I&#92;to S' class='latex' /> yang disebut sebuah <strong>pengindeksan (indexing)</strong> atau pelabelan S oleh <img src='http://s0.wp.com/latex.php?latex=I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I' title='I' class='latex' />.</p>
<p>Tidak semua himpunan dapat &#8220;dinomori&#8221;. yakni diindeks oleh <img src='http://s0.wp.com/latex.php?latex=%5Cmathbb%7BN%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;mathbb{N}' title='&#92;mathbb{N}' class='latex' />. Contohnya <img src='http://s0.wp.com/latex.php?latex=%5Cmathcal%7BP%7D%28%5Cmathbb%7BN%7D%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;mathcal{P}(&#92;mathbb{N})' title='&#92;mathcal{P}(&#92;mathbb{N})' class='latex' />, himpunan kuasa <img src='http://s0.wp.com/latex.php?latex=%5Cmathbb%7BN%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;mathbb{N}' title='&#92;mathbb{N}' class='latex' />. Oleh karena itu, definisi ini merupakan generalisasi dari &#8220;penomoran&#8221; (numbering).</p>
<p>FAMILI HIMPUNAN</p>
<p>Penggunaan lain dari set pengindeks adalah ketika kita membahas mengenai beberapa himpunan. Suatu koleksi <img src='http://s0.wp.com/latex.php?latex=A%3D%5C%7BA_i%5C%7D_%7Bi%5Cin+I%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A=&#92;{A_i&#92;}_{i&#92;in I}' title='A=&#92;{A_i&#92;}_{i&#92;in I}' class='latex' /> yang beranggotakan himpunan-himpunan dikatakan terindeks oleh himpunan pengindeks <img src='http://s0.wp.com/latex.php?latex=I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I' title='I' class='latex' /> jika terdapat bijeksi <img src='http://s0.wp.com/latex.php?latex=I%5Cto+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I&#92;to A' title='I&#92;to A' class='latex' /> yang berupa <img src='http://s0.wp.com/latex.php?latex=i%5Cmapsto+A_i&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='i&#92;mapsto A_i' title='i&#92;mapsto A_i' class='latex' />.</p>
<p>Dengan definisi ini, operasi irisan (interseksi) gabungan (union), dan bahkan hasil kali kartesius (Cartesian product) dapat diperumum menjadi operasi yang kini mungkin melibatkan tak terhitung banyaknya himpunan. Formalnya,</p>
<p>DEFINISI (Generalisasi Irisan, Gabungan, dan Hasil Kali Kartesius). Misalkan <img src='http://s0.wp.com/latex.php?latex=A%3D%5C%7BA_i%5C%7D_%7Bi%5Cin+I%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A=&#92;{A_i&#92;}_{i&#92;in I}' title='A=&#92;{A_i&#92;}_{i&#92;in I}' class='latex' /> adalah koleksi tak kosong himpunan-himpunan yang diindeks oleh <img src='http://s0.wp.com/latex.php?latex=I%5Cnot%3D+%5Cemptyset&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='I&#92;not= &#92;emptyset' title='I&#92;not= &#92;emptyset' class='latex' />. Untuk tiap <img src='http://s0.wp.com/latex.php?latex=J%5Csubseteq+I&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='J&#92;subseteq I' title='J&#92;subseteq I' class='latex' /> definisikan</p>
<ul>
<li>Irisan <img src='http://s0.wp.com/latex.php?latex=%5Ccap+_%7Bj%5Cin+J%7D+A_j%3D%5C%7Bx%26%23124%3B%28%5Cforall+j%5Cin+J%29%5C%2C+x%5Cin+A_j%5C%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;cap _{j&#92;in J} A_j=&#92;{x&#124;(&#92;forall j&#92;in J)&#92;, x&#92;in A_j&#92;}' title='&#92;cap _{j&#92;in J} A_j=&#92;{x&#124;(&#92;forall j&#92;in J)&#92;, x&#92;in A_j&#92;}' class='latex' /></li>
<li>Gabungan <img src='http://s0.wp.com/latex.php?latex=%5Ccup+_%7Bj%5Cin+J%7D+A_j%3D%5C%7Bx%26%23124%3B%28%5Cexists+j%5Cin+J%29%5C%2C+x%5Cin+A_j%5C%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;cup _{j&#92;in J} A_j=&#92;{x&#124;(&#92;exists j&#92;in J)&#92;, x&#92;in A_j&#92;}' title='&#92;cup _{j&#92;in J} A_j=&#92;{x&#124;(&#92;exists j&#92;in J)&#92;, x&#92;in A_j&#92;}' class='latex' /></li>
<li>Hasil Kali Kartesius <img src='http://s0.wp.com/latex.php?latex=%5Cprod+_%7Bj%5Cin+J%7D+A_j%3D%5C%7Bf%3AJ%5Cto+%5Ccup+_%7Bj%5Cin+J%7D+A_j+%26%23124%3B+%28%5Cforall+j%5Cin+J%29%5C%2C+f%28j%29%5Cin+A_j%5C%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;prod _{j&#92;in J} A_j=&#92;{f:J&#92;to &#92;cup _{j&#92;in J} A_j &#124; (&#92;forall j&#92;in J)&#92;, f(j)&#92;in A_j&#92;}' title='&#92;prod _{j&#92;in J} A_j=&#92;{f:J&#92;to &#92;cup _{j&#92;in J} A_j &#124; (&#92;forall j&#92;in J)&#92;, f(j)&#92;in A_j&#92;}' class='latex' /></li>
</ul>
<p>Sebagai remark, hanya definisi hasil kali kartesius diatas yang terasa kurang &#8220;natural&#8221; karena bukannya mengidentifikasi hasil kali kartesius dengan himpunan n-tupel, tetapi kita justru menggunakan himpunan fungsi-fungsi. Bisa jadi ini dikarenakan kita hanya akan berurusan dengan hasil kali kartesius tak hingga ketika kita membahas topik-topik mendasar semacam Axiom of Choice yang kurang lebih mengatakan, dalam istilah dan definisi kita, bahwa &#8220;hasil kali kartesius himpunan-himpunan yang tak kosong adalah tak kosong&#8221;.</p>
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</item>
<item>
<title><![CDATA["Aljabar" Himpunan, part 1]]></title>
<link>http://anakmtk.wordpress.com/?p=289</link>
<pubDate>Sat, 10 Jul 2010 15:18:46 +0000</pubDate>
<dc:creator>fendymu</dc:creator>
<guid>http://anakmtk.wordpress.com/?p=289</guid>
<description><![CDATA[Disini akan dibuktikan beberapa sifat-sifat penting dari operasi-operasi biner dasar pada himpunan y]]></description>
<content:encoded><![CDATA[<p>Disini akan dibuktikan beberapa sifat-sifat penting dari operasi-operasi biner dasar pada himpunan yakni irisan gabungan.</p>
<p><strong>PROPERTI H.d.1 (Irisan dan Gabungan). Misalkan A,B,C adalah himpunan-himpunan. Maka</strong></p>
<p><strong> </strong></p>
<ol><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccap+B%5Csubseteq+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap B&#92;subseteq A' title='A&#92;cap B&#92;subseteq A' class='latex' />. Andaikan <img src='http://s0.wp.com/latex.php?latex=X%5Csubseteq+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='X&#92;subseteq A' title='X&#92;subseteq A' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=X%5Csubseteq+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='X&#92;subseteq B' title='X&#92;subseteq B' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=X%5Csubseteq+A%5Ccap+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='X&#92;subseteq A&#92;cap B' title='X&#92;subseteq A&#92;cap B' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong> <img src='http://s0.wp.com/latex.php?latex=A%5Csubseteq+A%5Ccup+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;subseteq A&#92;cup B' title='A&#92;subseteq A&#92;cup B' class='latex' />. Andaikan <img src='http://s0.wp.com/latex.php?latex=A%5Csubseteq+Y&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;subseteq Y' title='A&#92;subseteq Y' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=B%5Csubseteq+Y&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='B&#92;subseteq Y' title='B&#92;subseteq Y' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=A%5Ccup+B%5Csubseteq+Y&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup B&#92;subseteq Y' title='A&#92;cup B&#92;subseteq Y' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccap+%28B%5Ccup+C%29%3D%28A%5Ccup+B%29%5Ccap+%28A%5Ccup+C%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap (B&#92;cup C)=(A&#92;cup B)&#92;cap (A&#92;cup C)' title='A&#92;cap (B&#92;cup C)=(A&#92;cup B)&#92;cap (A&#92;cup C)' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccup+%28B%5Ccap+C%29%3D%28A%5Ccap+B%29%5Ccup+%28A%5Ccap+C%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup (B&#92;cap C)=(A&#92;cap B)&#92;cup (A&#92;cap C)' title='A&#92;cup (B&#92;cap C)=(A&#92;cap B)&#92;cup (A&#92;cap C)' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccap+%5Cemptyset%3D%5Cemptyset&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap &#92;emptyset=&#92;emptyset' title='A&#92;cap &#92;emptyset=&#92;emptyset' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=A%5Ccap+A%3DA&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap A=A' title='A&#92;cap A=A' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccup+%5Cemptyset%3DA&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup &#92;emptyset=A' title='A&#92;cup &#92;emptyset=A' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=A%5Ccup+A%3DA&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup A=A' title='A&#92;cup A=A' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccap+%28A%5Ccup+B%29%3DA&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap (A&#92;cup B)=A' title='A&#92;cap (A&#92;cup B)=A' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccup+%28A%5Ccap+B%29%3DA&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup (A&#92;cap B)=A' title='A&#92;cup (A&#92;cap B)=A' class='latex' /></strong></li>
<p><strong> </strong></p>
<li><strong><img src='http://s0.wp.com/latex.php?latex=A%5Ccap+C%5Csubseteq+B%5Ccap+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap C&#92;subseteq B&#92;cap C' title='A&#92;cap C&#92;subseteq B&#92;cap C' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=A%5Ccup+C%5Csubseteq+B%5Ccup+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup C&#92;subseteq B&#92;cup C' title='A&#92;cup C&#92;subseteq B&#92;cup C' class='latex' />, andaikan <img src='http://s0.wp.com/latex.php?latex=A%5Csubseteq+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;subseteq B' title='A&#92;subseteq B' class='latex' /></strong></li>
<p><strong> </strong></ol>
<p><strong> </strong></p>
<p><strong>BUKTI:</strong><br />
<!--more--></p>
<p><strong><span style="text-decoration:underline;">(1)</span></strong> dan <strong><span style="text-decoration:underline;">(2)</span></strong> cukup jelas dan definisional. Kita akan sering menggunakan keduanya tanpa berkomentar lagi.</p>
<p>Bukti bagian (3) dan (4) menggunakan distributifitas operator logika &#8220;dan&#8221; dan &#8220;atau&#8221;.</p>
<p><strong><span style="text-decoration:underline;">(3)</span></strong>. Jelas dari rantai biimplikasi berikut,</p>
<p style="text-align:center;"><img src='http://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Brcl%7D+x%5Cin+A%5Ccap+%28B%5Ccup+C%29+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A+%5Ctext%7B+dan+%7D+x%5Cin+B%5Ccup+C+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A+%5Ctext+%7B+dan+%7D+%28x%5Cin+B+%5Ctext%7B+atau+%7D+x%5Cin+C%29+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+%28x%5Cin+A+%5Ctext%7B+dan+%7D+x%5Cin+B%29+%5Ctext%7B+atau+%7D+%28x%5Cin+A+%5Ctext%7B+dan+%7D+x%5Cin+C%29+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A%5Ccap+B+%5Ctext%7B+atau+%7D+x%5Cin+A%5Ccap+C+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+%28A%5Ccap+B%29%5Ccup+%28A%5Ccap+C%29+%5Cend%7Barray%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;begin{array}{rcl} x&#92;in A&#92;cap (B&#92;cup C) &amp; &#92;iff &amp; x&#92;in A &#92;text{ dan } x&#92;in B&#92;cup C &#92;&#92; &amp; &#92;iff &amp; x&#92;in A &#92;text { dan } (x&#92;in B &#92;text{ atau } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; (x&#92;in A &#92;text{ dan } x&#92;in B) &#92;text{ atau } (x&#92;in A &#92;text{ dan } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; x&#92;in A&#92;cap B &#92;text{ atau } x&#92;in A&#92;cap C &#92;&#92; &amp; &#92;iff &amp; x&#92;in (A&#92;cap B)&#92;cup (A&#92;cap C) &#92;end{array}' title='&#92;begin{array}{rcl} x&#92;in A&#92;cap (B&#92;cup C) &amp; &#92;iff &amp; x&#92;in A &#92;text{ dan } x&#92;in B&#92;cup C &#92;&#92; &amp; &#92;iff &amp; x&#92;in A &#92;text { dan } (x&#92;in B &#92;text{ atau } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; (x&#92;in A &#92;text{ dan } x&#92;in B) &#92;text{ atau } (x&#92;in A &#92;text{ dan } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; x&#92;in A&#92;cap B &#92;text{ atau } x&#92;in A&#92;cap C &#92;&#92; &amp; &#92;iff &amp; x&#92;in (A&#92;cap B)&#92;cup (A&#92;cap C) &#92;end{array}' class='latex' /></p>
<p><strong><span style="text-decoration:underline;">(4)</span></strong>. Serupa dengan diatas, terdapat rantai implikasi</p>
<p style="text-align:center;"><img src='http://s0.wp.com/latex.php?latex=%5Cbegin%7Barray%7D%7Brcl%7D+x%5Cin+A%5Ccup+%28B%5Ccap+C%29+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A+%5Ctext%7B+atau+%7D+x%5Cin+B%5Ccap+C+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A+%5Ctext%7B+atau+%7D+%28x%5Cin+B+%5Ctext%7B+dan+%7D+x%5Cin+C%29+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+%28x%5Cin+A+%5Ctext%7B+atau+%7D+x%5Cin+B%29+%5Ctext%7B+dan+%7D+%28x%5Cin+A+%5Ctext%7B+atau+%7Dx%5Cin+C%29+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+A%5Ccup+B+%5Ctext%7B+dan+%7D+x%5Cin+A%5Ccup+C+%5C%5C+%26%2338%3B+%5Ciff+%26%2338%3B+x%5Cin+%28A%5Ccup+B%29%5Ccap+%28A%5Ccup+C%29+%5Cend%7Barray%7D&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='&#92;begin{array}{rcl} x&#92;in A&#92;cup (B&#92;cap C) &amp; &#92;iff &amp; x&#92;in A &#92;text{ atau } x&#92;in B&#92;cap C &#92;&#92; &amp; &#92;iff &amp; x&#92;in A &#92;text{ atau } (x&#92;in B &#92;text{ dan } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; (x&#92;in A &#92;text{ atau } x&#92;in B) &#92;text{ dan } (x&#92;in A &#92;text{ atau }x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; x&#92;in A&#92;cup B &#92;text{ dan } x&#92;in A&#92;cup C &#92;&#92; &amp; &#92;iff &amp; x&#92;in (A&#92;cup B)&#92;cap (A&#92;cup C) &#92;end{array}' title='&#92;begin{array}{rcl} x&#92;in A&#92;cup (B&#92;cap C) &amp; &#92;iff &amp; x&#92;in A &#92;text{ atau } x&#92;in B&#92;cap C &#92;&#92; &amp; &#92;iff &amp; x&#92;in A &#92;text{ atau } (x&#92;in B &#92;text{ dan } x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; (x&#92;in A &#92;text{ atau } x&#92;in B) &#92;text{ dan } (x&#92;in A &#92;text{ atau }x&#92;in C) &#92;&#92; &amp; &#92;iff &amp; x&#92;in A&#92;cup B &#92;text{ dan } x&#92;in A&#92;cup C &#92;&#92; &amp; &#92;iff &amp; x&#92;in (A&#92;cup B)&#92;cap (A&#92;cup C) &#92;end{array}' class='latex' /></p>
<p>yang mengakibatkan kesamaan himpunan <img src='http://s0.wp.com/latex.php?latex=A%5Ccup+%28B%5Ccap+C%29%3D%28A%5Ccup+B%29%5Ccap+%28A%5Ccup+C%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup (B&#92;cap C)=(A&#92;cup B)&#92;cap (A&#92;cup C)' title='A&#92;cup (B&#92;cap C)=(A&#92;cup B)&#92;cap (A&#92;cup C)' class='latex' />.</p>
<p><strong><span style="text-decoration:underline;">(5)</span></strong> dan <strong><span style="text-decoration:underline;">(6)</span></strong> cukup jelas dan definisional.</p>
<p><strong><span style="text-decoration:underline;">(7)</span></strong>. Jelas bahwa <img src='http://s0.wp.com/latex.php?latex=A%5Ccap+%28A%5Ccup+B%29%5Csubseteq+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap (A&#92;cup B)&#92;subseteq A' title='A&#92;cap (A&#92;cup B)&#92;subseteq A' class='latex' />. Berdasarkan bagian (4) dan (5), <img src='http://s0.wp.com/latex.php?latex=A%5Ccap+%28A%5Ccup+B%29%3D%28A%5Ccap+A%29%5Ccup%28A%5Ccap+B%29%3DA%5Ccup%28A%5Ccap+B%29%5Csupseteq+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cap (A&#92;cup B)=(A&#92;cap A)&#92;cup(A&#92;cap B)=A&#92;cup(A&#92;cap B)&#92;supseteq A' title='A&#92;cap (A&#92;cup B)=(A&#92;cap A)&#92;cup(A&#92;cap B)=A&#92;cup(A&#92;cap B)&#92;supseteq A' class='latex' />, sehingga jelas bahwa <img src='http://s0.wp.com/latex.php?latex=A%5Csubseteq+A%5Ccap+%28A%5Ccup+B%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;subseteq A&#92;cap (A&#92;cup B)' title='A&#92;subseteq A&#92;cap (A&#92;cup B)' class='latex' />.</p>
<p><strong><span style="text-decoration:underline;">(8)</span></strong>. Dari (4) dan (6), diketahui bahwa <img src='http://s0.wp.com/latex.php?latex=A%5Ccup+%28A%5Ccap+B%29%3D%28A%5Ccup+A%29%5Ccap+%28A%5Ccup+B%29%3DA%5Ccap+%28A%5Ccup+B%29&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A&#92;cup (A&#92;cap B)=(A&#92;cup A)&#92;cap (A&#92;cup B)=A&#92;cap (A&#92;cup B)' title='A&#92;cup (A&#92;cap B)=(A&#92;cup A)&#92;cap (A&#92;cup B)=A&#92;cap (A&#92;cup B)' class='latex' />, yang sama dengan, berdasarkan (7), <img src='http://s0.wp.com/latex.php?latex=A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='A' title='A' class='latex' />.</p>
<p><strong><span style="text-decoration:underline;">(9)</span></strong>. Jika <img src='http://s0.wp.com/latex.php?latex=x%5Cin+A%5Ccap+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in A&#92;cap C' title='x&#92;in A&#92;cap C' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=x%5Cin+A%5Csubseteq+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in A&#92;subseteq B' title='x&#92;in A&#92;subseteq B' class='latex' /> dan <img src='http://s0.wp.com/latex.php?latex=x%5Cin+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in C' title='x&#92;in C' class='latex' />, sehingga <img src='http://s0.wp.com/latex.php?latex=x%5Cin+B%5Ccap+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in B&#92;cap C' title='x&#92;in B&#92;cap C' class='latex' />.</p>
<p>Jika <img src='http://s0.wp.com/latex.php?latex=x%5Cin+A%5Ccup+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in A&#92;cup C' title='x&#92;in A&#92;cup C' class='latex' />, maka entah <img src='http://s0.wp.com/latex.php?latex=x%5Cin+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in A' title='x&#92;in A' class='latex' /> atau <img src='http://s0.wp.com/latex.php?latex=x%5Cin+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in C' title='x&#92;in C' class='latex' />. Jika <img src='http://s0.wp.com/latex.php?latex=x%5Cin+A&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in A' title='x&#92;in A' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=x%5Cin+B%5Csubseteq+B%5Ccup+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in B&#92;subseteq B&#92;cup C' title='x&#92;in B&#92;subseteq B&#92;cup C' class='latex' />. Jika <img src='http://s0.wp.com/latex.php?latex=x%5Cin+C&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in C' title='x&#92;in C' class='latex' /> maka <img src='http://s0.wp.com/latex.php?latex=x%5Cin+C%5Ccup+B&amp;bg=ffffff&amp;fg=000&amp;s=0' alt='x&#92;in C&#92;cup B' title='x&#92;in C&#92;cup B' class='latex' />. <strong>[QED]</strong></p>
<hr />
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<title><![CDATA[Cruzdel CMP - Is this in the Cave Forest Reservation?]]></title>
<link>http://bbgmfi.wordpress.com/2010/03/11/cruzdel-cmp-is-this-in-the-cave-forest-reservation/</link>
<pubDate>Thu, 11 Mar 2010 20:15:22 +0000</pubDate>
<dc:creator>Alias Names</dc:creator>
<guid>http://bbgmfi.wordpress.com/2010/03/11/cruzdel-cmp-is-this-in-the-cave-forest-reservation/</guid>
<description><![CDATA[According to BBGMFI, an ocular geological assessment has been carried out for Cruzdel by DENR-MGB-CA]]></description>
<content:encoded><![CDATA[<p>According to BBGMFI, an ocular geological assessment has been carried out for Cruzdel by DENR-MGB-CAR (see <a href="http://bbgmfi.files.wordpress.com/2010/03/20100311101509252.pdf">Cruzdel Ocular Geological Assessment</a>.)</p>
<p>This assessment that is being relied upon by Lovely Lapus Ladignon (De Vera) in her letter dated October 19, 2009 to Clr. Isabelo Cosalan does not identify the registered owners and lot number for the inconclusively identified inspected land, nor does it accurately identify the boundary coordinates of the site, and thus to all intents and purposes it is a meaningless scrap of paper for the purposes of promoting the project to and obtaining permits and approvals from housing agency and local government officials such as Clr. Cosalan. We trust that Clr. Cosalan and his Housing Committee are thoroughly checking out the claims of Mrs. De Vera so that they are not publicly embarrassed at a later stage.</p>
<p>We also respectfully suggest that Samuel Paragas and Fay Apil of DENR-MGB-CAR should insist that any requests for such occular inspections are supported with a certified copy of the relevant TCT and the <span style="text-decoration:underline;">written notarized authorization of the registered land owner</span>, and such that the DENR-MGB issued assessment fully and correctly identifies the actual titled lot and registered land owner so that people like Kelly Parsons, Lovely Lapus Ladignon and BBGMFI cannot subsequently use an issued assessment report for a vaguely identified location to misrepresent facts when that document is presented to a third party. DENR-MGB have a duty to protect the general public and any other government officals from any misrepresentation that may flow from the vague wording of any assessment report that they may issue.</p>
<p>Moreover, based upon the vague project location indicated in this ocular geological assessment obtained from DENR-MGC-CAR by Kelly Parsons of Green Meadows Foundation, La Trinidad, the proposed Cruzdel site that was inspected by DENR-MGB is quite probably located within the metes and boundaries of the Cave Forest Reservation which surrounds St. Martin Elementary School. This may also explain why DENR-MGB-CAR observed that the land was undeveloped and forested with pine trees.</p>
<p>For those who are unaware, Presidential Proclamation No. 492 (see <a href="http://www.ops.gov.ph/records/proc_no492.htm">http://www.ops.gov.ph/records/proc_no492.htm</a>) was issued on October 27, 2003 seperating out St. Martin School from the 4 hectare Cave Forest Reservation that had been originally declared under Proclamation No. 16 dated April 27, 1922. <span style="text-decoration:underline;">Proclamation No. 492 identifies that the school is surrounded on all sides by the forest reserve</span>, so it would seem likely, if not probable, that the forested area inspected by DENR-MGB-CAR is within the forest reserve, which is <span style="text-decoration:underline;">inalienable government land</span>.</p>
<p>It is therefore important for Clr. Cosalan and the Housing Committee to thoroughly check who actually owns the proposed project site so that abuse of inalienable forest reservations does not take place and there is not another scandal such as the ones at Busol Watershed, South Drive, etc.</p>
<p>Further, the wording of the assessment report indicates that the project site, as shown by Kelly Parsons to DENR-MGB-CAR, was not being occupied by the squatters referred to Lovely Lapus Ladignon&#8217;s groundbreaking invitation letter. Thus, it would seem that Ladignon and Parsons are just trying to con government officials etc once more by using the same falsification modus operandi that they have been operating for the last ten years. Indeed, government officials should clearly be checking whether by initiating this Cruzdel project, Lovely Ladignon De Vera, Kelly Parsons and BBGMFI are trying to steal inalienable government forest reservation land. If so, then government officials should be filing appropriate criminal charges against De Vera, Parsons, BBGMFI and all of its officers and trustees. </p>
<p>The possibility also remains that Kelly Parsons was naively aiming to deceive government officials by obtaining an occular geological assessment report for a different area than the intended site where the squatters presently reside. Why for instance was he (she) falsely using the name &#8220;Green Meadows Foundation&#8221; (no such foundation registered at the SEC) instead of the correct name of Baguio Benguet Green Meadows Foundation Inc?, and why was he (she) falsely using a La Trinidad address instead of the correct Masonic Center, Baguio address? Yet further indicators that the obtaining of this report is a sham and falsified  exercise intended to deceive people and government officials, and after a few government officials correctly started questioning the proposed project&#8217;s legal validity.</p>
<p>We are not fools Lovely Ladignon De Vera, and contrary to your opinion, HLURB officials receive education and advice on geohazard matters, and almost certainly know more than you do , given that you have no real estate, construction or civil engineering education background. But then it looks like somebody else is writing your letters for you. It is very easy for an educated and intelligent person to see through your charade.</p>
<p>It is time that all government officials stopped turning a blind eye to this bogus housing foundation that is operated by a woman who uses a false alias name aided and abetted by a man who dresses up as a woman. Yes, as we all know, Lovely has this habit of putting her arm around all male governent officials and pretends to be all friendly, but that is just a fake smokescreen to make the men blind to her evil intention to deceive them. They need to open their eyes and recognize that they are being seduced and conned by a scam artist. She can not use that technique on women government officials, which is why women are not conned by her scam. </p>
<p>The general public, including squatter communities, must be properly protected by government agency officials from a woman who was <span style="text-decoration:underline;">publicly dismissed</span> from Zurich Philippines in 1999 for non-remittance of premium payments and misrepresentation, who has in the past been served with multiple wearrants of arrest, who has an extensive NBI record history under her surname De Vera, who has a history of using false names and different signatures, and whose sole objective is to enrich herself by exploiting the poor and abusing the social housing program through falsification and misrepresentation. In addition, inalienable forest reservations must be protected by government officials from unscrupulous interlopers.</p>
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<title><![CDATA[BBGMFI and Lovely Lapus Ladignon ordered to CEASE AND DESIST from selling or subdividing lots at Cruzdel Green Meadows, Crystal Cave, Baguio City]]></title>
<link>http://bbgmfi.wordpress.com/2010/02/04/bbgmfi-and-lovely-lapus-ladignon-ordered-to-cease-and-desist-from-selling-or-subdividing-lots-at-cruzdel-green-meadows-crystal-cave-baguio-city/</link>
<pubDate>Thu, 04 Feb 2010 18:45:25 +0000</pubDate>
<dc:creator>Alias Names</dc:creator>
<guid>http://bbgmfi.wordpress.com/2010/02/04/bbgmfi-and-lovely-lapus-ladignon-ordered-to-cease-and-desist-from-selling-or-subdividing-lots-at-cruzdel-green-meadows-crystal-cave-baguio-city/</guid>
<description><![CDATA[Below is a letter issued by Lovely Ladignon de Vera using  a new alias name Lovely Lapus Ladignon in]]></description>
<content:encoded><![CDATA[<p>Below is a letter issued by Lovely Ladignon de Vera using  a new alias name Lovely Lapus Ladignon inviting housing agency officials to the launch of a hew unauthorised CMP project, Cruzdel Green Meadows.</p>
<p><a href="http://bbgmfi.files.wordpress.com/2010/01/ccf19012010_00001.jpg"><img class="aligncenter size-full wp-image-436" title="CCF19012010_00001" src="http://bbgmfi.files.wordpress.com/2010/01/ccf19012010_00001.jpg?w=450&#038;h=623" alt="" width="450" height="623" /></a></p>
<p>Notice how she is so evil In her pursuit of stealing from the poor that she is also deceiving a charitable foundation, ABS-CBN Bayanijuan.</p>
<p>Below is the letter that HLURB issued in response to the invitation to attend the launch of Cruzdel Green Meadows.</p>
<p><a href="http://bbgmfi.files.wordpress.com/2010/01/ccf19012010_00000a.jpg"><img class="aligncenter size-full wp-image-428" title="CCF19012010_00000a" src="http://bbgmfi.files.wordpress.com/2010/01/ccf19012010_00000a.jpg?w=450&#038;h=623" alt="" width="450" height="623" /></a></p>
<p>The letter is self-explanatory and identifies that the project has no CMP approval, that BBGMFI has had its CMP accreditation suspended since March 29, 2009, and it further raises questions regarding the use of the name &#8220;Lovely Lapus Ladignon&#8221;.</p>
<p>In addition, shortly after the devastating impact of Typhoon Pepeng, particularly in known geohazard areas, Councilor Isabelo Cosalan Jr, Head of the  Committee on Urban Planning, Lands and Housing for Baguio City also wrote the following CEASE AND DESIST letter to BBGMFI/Ladignon which again is self-explanatory.</p>
<p><a href="http://bbgmfi.files.wordpress.com/2010/01/ccf20012010_00000.jpg"><img class="aligncenter size-full wp-image-429" title="CCF20012010_00000" src="http://bbgmfi.files.wordpress.com/2010/01/ccf20012010_00000.jpg?w=450&#038;h=623" alt="" width="450" height="623" /></a></p>
<p>The message that is clearly being given to BBGMFI and LADIGNON by government officials is that their illegal activties will not be tolerated.</p>
<p>Anyone who has been deceived into participating in unauthorised CMP projects at Crystal Cave or at Irisan should immediately contact Councilor Cosalan, HLURB, HUDCC and SHFC so that formal written complaints can be registered and further punitive action taken against BBGMFI, Ladignon, and her family relative trustees.</p>
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<item>
<title><![CDATA[Jenis Irisan Kerupuk]]></title>
<link>http://rajakrupuk.wordpress.com/2009/04/26/jenis-irisan-kerupuk/</link>
<pubDate>Sun, 26 Apr 2009 03:07:27 +0000</pubDate>
<dc:creator>MegaMendung.Com</dc:creator>
<guid>http://rajakrupuk.wordpress.com/2009/04/26/jenis-irisan-kerupuk/</guid>
<description><![CDATA[Jenis Irisan Kerupuk pada umumnya dibagi menjadi: 1. Kerupuk Daun Lebar (Daun Besar) 2. Kerupuk Daun]]></description>
<content:encoded><![CDATA[<p>Jenis Irisan Kerupuk pada umumnya dibagi menjadi:</p>
<p>1. Kerupuk Daun Lebar (Daun Besar)<br />
2. Kerupuk Daun Sedang (Daun Sedang)<br />
3. Kerupuk Daun Kecil (Daun Kecil)<br />
4. Kerupuk Kancing (Irisannya mirip Kancing, lebih kecil dibanding Kerupuk Daun Kecil)<br />
5. Kerupuk Stik (irisannya mirip Stik)<br />
6. Kerupuk Bintang (irisannya mirip Bintang)</p>
<p><a href="http://3.bp.blogspot.com/_7Gs-JZjJwV8/Sbdw1OfJrYI/AAAAAAAAASg/yS6rfGDEgYE/s1600-h/IrisanKerupuk2.JPG"><img style="display:block;text-align:center;cursor:hand;width:308px;height:320px;margin:0 auto 10px;" src="http://3.bp.blogspot.com/_7Gs-JZjJwV8/Sbdw1OfJrYI/AAAAAAAAASg/yS6rfGDEgYE/s320/IrisanKerupuk2.JPG" border="0" /></a></p>
<p><a href="http://1.bp.blogspot.com/_7Gs-JZjJwV8/Sbdw1BoLaZI/AAAAAAAAASo/y2pVwiRKi24/s1600-h/macam-irisan-kerupuk-2.JPG"><img style="display:block;text-align:center;cursor:hand;width:320px;height:222px;margin:0 auto 10px;" src="http://1.bp.blogspot.com/_7Gs-JZjJwV8/Sbdw1BoLaZI/AAAAAAAAASo/y2pVwiRKi24/s320/macam-irisan-kerupuk-2.JPG" border="0" /></a></p>
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<item>
<title><![CDATA[Heboh Potongan payudara di Pantai Sanur Bali]]></title>
<link>http://korangua.wordpress.com/2008/12/12/heboh-potongan-payudara-di-pantai-sanur-bali/</link>
<pubDate>Fri, 12 Dec 2008 12:05:16 +0000</pubDate>
<dc:creator>Dimas Gantengs</dc:creator>
<guid>http://korangua.wordpress.com/2008/12/12/heboh-potongan-payudara-di-pantai-sanur-bali/</guid>
<description><![CDATA[Dikabarkan bahwa Sebuah potongan payudara terlihat mengambang di pantai kawasan wisata pantai Sanur,]]></description>
<content:encoded><![CDATA[<p>Dikabarkan bahwa Sebuah potongan payudara terlihat mengambang di pantai kawasan wisata pantai Sanur, Denpasar.</p>
<p>Potongan payudara ini ditemukan oleh pengunjung pantai Sanur yang bernama Wayan Darmasa . Potongan payudara itu terbungkus kain dan terapung di tepi pantai.</p>
<p>Temuan irisan payudara ini pun menghebohkan kawasan wisata pantai Sanur. Pengunjung dan warga pantai sanur berduyun-duyun menyaksikan irisan daging tersebut.</p>
<p>Tak lama berselang, polisi datang ke TKP untuk melakukan penyelidikan.</p>
<p>Polisi menduga bahwa potongan payudara itu adalah bekas hasil operasi amputasi yang sengaja dilarung pemiliknya ke laut.</p>
<p>Sponsor :</p>
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<p>.</p>
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<title><![CDATA[Pempek Mang Yas - Sikok sikoknyo Warung Pempek Online di Palembang]]></title>
<link>http://pempekmangyas.wordpress.com/2008/01/20/pempek-mang-yas-sikok-sikoknyo-warung-pempek-online-di-palembang/</link>
<pubDate>Sun, 20 Jan 2008 17:03:19 +0000</pubDate>
<dc:creator>pempekmangyas</dc:creator>
<guid>http://pempekmangyas.wordpress.com/2008/01/20/pempek-mang-yas-sikok-sikoknyo-warung-pempek-online-di-palembang/</guid>
<description><![CDATA[Assalammualaikum wr.wb perkenalkan kami dari Pempek Mang Yas &#8211; Sikok sikoknyo Warung Pempek On]]></description>
<content:encoded><![CDATA[<p><img src="http://www.webng.com/pempekmangyas/images/ptk.jpg" alt="www.pempekmangyas.com" /></p>
<p>Assalammualaikum wr.wb<br />
perkenalkan kami dari</p>
<p>Pempek Mang Yas &#8211; Sikok sikoknyo Warung Pempek Online di Palembang</p>
<p>silakan yang mau lebih lanjut mengetahui tentang penjualan kami<br />
dari aneka jenis pempek, cara pembayaran &#38; tarif ongkos kirim.</p>
<p>silakan buka di <b><a href="http://www.pempekmangyas.com" rel="nofollow">http://www.pempekmangyas.com</a></b></p>
<p>kami menerima pesanan untuk luar kota<br />
terima kasih.</p>
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<title><![CDATA[Iota Waktu]]></title>
<link>http://deviantvillain.wordpress.com/2007/11/24/iota-waktu/</link>
<pubDate>Sat, 24 Nov 2007 09:22:26 +0000</pubDate>
<dc:creator>Ries</dc:creator>
<guid>http://deviantvillain.wordpress.com/2007/11/24/iota-waktu/</guid>
<description><![CDATA[&#8220;waktu itu seperti juicer, semakin banyak diputer, semakin banyak kita diiris olehnya&#8221; ~]]></description>
<content:encoded><![CDATA[<p><em>&#8220;waktu itu seperti juicer, semakin banyak diputer, semakin banyak kita diiris olehnya&#8221;</em> <strong>~me</strong></p>
<p>Semakin banyak waktu, rasanya semakin banyak kejadian-kejadian yang membuat aku semakin memiliki celah untuk dipermalukan orang lain.Sewaktu masih kuliah dulu, gak mungkin misalnya ada orang yg mengulik-ulik kalau di dalam waktu yg lama aku belum juga mendapatkan kerja. Tapi jika setelah lulus kuliah, maka orang akan mau / tidak mau memberikan penilaian lebih remeh kepada mereka yang kesulitan untuk mendapatkan pekerjaan.</p>
<p>Ketika baru awal-awal kerja, rasanya masalah-masalah seperti siapa yang lebih cepat meningkat gajinya, siapa yang lebih sukses karirnya, siapa yang sudah lebih banyak menanamkan investasi dari gajinya, etc. Tidak ada masalah seperti itu. Tetapi seiring dengan berkembangnya jumlah waktu bekerja, pertanyaan seperti itu muncul.</p>
<p>Ke depannya, akan banyak lagi hal-hal seperti itu. Tentang pernikahan, tentang anak, tentang karir, tentang pelayanan, dan banyak hal lainnya. Semua yang diciptakan peradaban di muka bumi ini.</p>
<p>Bosan. Jenuh dengan semua itu. Rasanya ingin pergi dan menyepi keluar dari peradaban.</p>
<p>Tapi itu bukan salah peradaban. Bukan pula salah waktu. Itu salahku. Sebenarnya bukan masalah lingkunganku mengatakan bagaimana. Akupun bersikap seperti yang orang lain lakukan untuk menyakitiku. Aku juga menyakiti orang lain dengan sikap yang sama.</p>
<p>Akhirnya, segala sesuatu harus dihadapi. Aku harus berubah. Bertambah dewasa. Berkawan dengan waktu. Hingga waktu untukku habis. Dan aku  harus meninggalkan dia terus berputar di muka bumi ini. Mencari kawan. Mengiris tiap-tiap orang untuk menyadarkannya.</p>
<p>~</p>
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