formulasearchengine - User contributions [en]

Watt balance

2015-01-08T13:53:44Z

68.232.69.50: typo

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2013-10-30T04:03:44Z

68.232.112.184:

{{nowrap|<math> \scriptstyle \langle </math> {{{1}}} , {{{2}}} <math> \scriptstyle \rangle </math>}}<noinclude>

===Usage===

:<nowiki>{{Inprod|A|B}}</nowiki>   results in   {{Inprod|A|B}}

:To be used for the inline display of the inner product of two vectors.
:In the above example, the two vectors are A and B.

</noinclude>

Boole's rule

2013-05-01T03:13:43Z

68.232.116.79: /* See also */

{{Earthquake
|title = 2009 West Java earthquake
|date = {{Start date|2009|09|02|df=yes}}
|map = 2009-September-Java-quake-shake-map-USGS.jpg
|magnitude = 7.0 [[Moment magnitude scale|<math>M_\mathrm{w}</math>]]
|depth = {{convert|49|km|mi|abbr=on}}
|tsunami = 20 cm
|location = off SW coast of [[Java]], south of [[Bandung]] {{Coord|7.778|S|107.328|E|display=inline,title}}
|countries affected = [[Indonesia]] [[West Java]]
|casualties = at least 79 dead<ref name="Kompas"/>
}}
The '''2009 West Java earthquake''' was a 7.0 [[Moment magnitude scale|magnitude]] [[earthquake]] that occurred on September 2, 2009 at 14:55 local time in [[West Java]], [[Indonesia]],<ref name ="USGS">[http://earthquake.usgs.gov/eqcenter/recenteqsww/Quakes/us2009lbat.php "Magnitude 7.0 - Java, Indonesia - 2009 September 02 07:55:01 UTC"] Earthquake Hazards Program, United States Geological Survey</ref> killing at least 79 people, injuring over 1,250, and displacing over 210,000 (including more than 140,000 in [[Tasikmalaya]] regency).<ref name="Kompas">[http://regional.kompas.com/read/xml/2009/09/08/09584280/Korban.Tewas.Akibat.Gempa.Sudah.79.Orang "Korban Tewas Akibat Gempa Sudah 79 Orang"] Kompas newspaper, Sept 8, 2009</ref>

The quake was felt in the capital [[Jakarta]] although damage there was minimal. At the time it was Indonesia's deadliest earthquake since [[July 2006 Java earthquake|2006]].<ref name="Indonesian Quake Death Toll Reaches 64 as Rescue Work Continues">{{cite web|url=http://www.bloomberg.com/apps/news?pid=20601087&sid=a5lhxO3lwghE|title=Indonesian Quake Death Toll Reaches 64 as Rescue Work Continues|date=2009-09-04|accessdate=2009-09-04|publisher=[[Bloomberg L.P.|Bloomberg]]}}</ref>

==Cause==
The earthquake's [[Hypocenter|focus]] lies close to the major [[Fault (geology)|fault plane]] where the [[Indo-Australian Plate]] is being [[Subduction|subducted]] beneath the [[Eurasian Plate]]. However, the [[focal mechanism]]s determined for this event shows reverse faulting at a high angle to the trend of the subduction zone and it has been suggested that the cause was deformation within the descending slab.<ref name ="USGS" />

There was an aftershock of 4.9 magnitude on September 2, 2009 at 16:28 local time<ref>[http://earthquake.usgs.gov/eqcenter/recenteqsww/Quakes/us2009lba4.php "Magnitude 4.9 - Java, Indonesia - 2009 September 02 09:28:45 UTC"] Earthquake Hazards Program, United States Geological Survey</ref>

Another earthquake in the same subduction zone occurred only 5 days later in the ocean south of [[Yogyakarta]]. This newer quake (magnitude 6.2)<ref>http://earthquake.usgs.gov/eqcenter/recenteqsww/Quakes/us2009lgba.php</ref> is considered to be related to the West Java earthquake.<ref>http://regional.kompas.com/read/xml/2009/09/08/00310831%20/gempa.yogyakarta.terkait.dengan.gempa.di.jawa.barat</ref>

==Damage==
Buildings in [[Bandung]] and [[Tasikmalaya]], the town closest to the epicenter, were damaged, and hundreds of people were injured.<ref>Staff (September 2, 2009) [http://www.chinapost.com.tw/asia/indonesia/2009/09/02/223094/Strong-earthquake.htm "Strong earthquake strikes Indonesia's Java island"]. ''[[The China Post]].''</ref> An estimated 18,300 homes and offices were earlier thought to have been damaged. This figure later rose to 87,000.

The quake was felt in [[Jakarta]], Indonesia's capital;<ref>{{cite news | url = http://news.bbc.co.uk/2/hi/in_depth/8233344.stm | work=BBC News | title=Deadly earthquake hits Indonesia | date=September 2, 2009| accessdate= 2 September 2009 | archiveurl= http://web.archive.org/web/20090902100818/http://news.bbc.co.uk/2/hi/in_depth/8233344.stm| archivedate= 2 September 2009| deadurl= no}}</ref> causing evacuation in many office buildings and hotels. Several office buildings along major thoroughfares in Central Jakarta suffered damage.

At least 11 houses were covered by a landslide in [[Cianjur]].<ref name="Search on for trapped Indonesians"/>

Around 37 inhabitants, including 13 children, of [[Cikangkareng]] were affected by a landslide caused by the quake and are thought to have been buried beneath rubble.<ref name="Indonesian quake death toll rises to 63">{{cite news|author=CBC News|url=http://www.cbc.ca/world/story/2009/09/04/indonesia-earthquake-landslide381.html|title=Indonesian quake death toll rises to 63|date=September 4, 2009|accessdate=2009-09-04|publisher=[[CBC News|CBC]]}}</ref> The area has become a breeding ground for voyeurs who are flocking to the area to take photographs of the destruction and victims.<ref name="Indonesia quake landslide attracts voyeurs">{{cite news|url=http://www.washingtonpost.com/wp-dyn/content/article/2009/09/04/AR2009090400552.html|title=Indonesia quake landslide attracts voyeurs|date=September 4, 2009|author= Asprihanto, Heru|accessdate=2009-09-04|publisher=''[[The Washington Post]]''}} {{Dead link|date=October 2010|bot=H3llBot}}</ref>

At least one hospital was destroyed by the quake.<ref name="Over 25, 000 Indonesian quake-affected people live in makeshift tents"/>

==Victims==
Confirmed death tolls by area were issued by ''[[The Jakarta Post]]'' on 4 September.<ref name="Aftershock and aid follow earthquake">{{cite web|author=Erwida Maulia|url=http://www.thejakartapost.com/news/2009/09/04/aftershock-and-aid-follow-earthquake.html|title=Aftershock and aid follow earthquake|date=September 4, 2009|accessdate=2009-09-04|publisher=''[[The Jakarta Post]]''| archiveurl= http://web.archive.org/web/20090905203123/http://www.thejakartapost.com/news/2009/09/04/aftershock-and-aid-follow-earthquake.html| archivedate= 5 September 2009 | deadurl= no}}</ref>

{|class="sortable wikitable"
|-
!Area
!Total
|-
| [[Cianjur]]
| 21<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Garut]]
| 10<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Tasikmalaya]]
| 9<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Bandung]]
| 8<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Ciamis]]
| At least 1<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Sukabumi]]
| At least 1<ref name="Aftershock and aid follow earthquake"/>
|-
| [[Bogor]]
| At least 1<ref name="Aftershock and aid follow earthquake"/>
|-
| [[West Bandung]]
| At least 1<ref name="Search on for trapped Indonesians">{{cite news|url=http://edition.cnn.com/2009/WORLD/asiapcf/09/04/indonesia.earthquake/|title=Search on for trapped Indonesians|date=September 4, 2009|accessdate=2009-09-04|publisher=[[CNN]]}}</ref>
The Bandung Health Agency says nearby victims of the quake will be eligible for free medical treatment for at least a month.<ref name="Bandung Health agency provides free medical treatment for Java quake victims">{{cite web|url=http://www.thejakartapost.com/news/2009/09/04/bandung-health-agency-provides-free-medical-treatment-java-quake-victims.html|title=Bandung Health agency provides free medical treatment for Java quake victims|date=2009-09-04|accessdate=2009-09-04|publisher=''[[The Jakarta Post]]''}}</ref> Rescuers have been equipped with machinery but are struggling.<ref name="Death toll of Indonesia's quake reaches to 63">{{cite web|url=http://news.xinhuanet.com/english/2009-09/04/content_11996142.htm|title=Death toll of Indonesia's quake reaches to 63|date=September 4, 2009|accessdate=2009-09-04|publisher=[[Xinhua News Agency]]}}</ref> 34 doctors and 52 paramedics were sent to at least 12 districts.<ref name="Bandung Health agency provides free medical treatment for Java quake victims"/>

More than 25,000 affected people were housed in makeshift tents.<ref name="Over 25, 000 Indonesian quake-affected people live in makeshift tents">{{cite web|url=http://news.xinhuanet.com/english/2009-09/04/content_11995305.htm|title=Over 25, 000 Indonesian quake-affected people live in makeshift tents|date=September 4, 2009|accessdate=2009-09-04|publisher=[[Xinhua News Agency]]}}</ref>

A group of 30 volunteers comprising Malaysian medical students from several universities in Indonesia, headed by Malaysian Students Department director in Indonesia Dr Junaidi Abu Bakar were deployed to provide assistance. They provided food and clothing as well as meals for the breaking of fast.<ref>{{cite news | url = http://thestar.com.my/news/story.asp?file=/2009/9/6/nation/4663799&sec=nation |title=Malaysian medical students help in Indonesian quake |deadurl=no |accessdate=2013-05-12}}</ref>
|}
==References==
{{Reflist|2}}

==External links==
* [http://www.youtube.com/watch?v=8BtoMg1Tvwc Death toll rises in Indonesia quake] – video from [[Al Jazeera]]
* [http://www.youtube.com/watch?v=P__rHb_3SCk 7.0 Magnitude Earthquake Rattles Indonesia] – video from the [[Associated Press]]
* [http://www.torontosun.com/news/world/2009/09/03/10739886.html Photos] at the ''[[Toronto Sun]]''

{{JavaMegathrust}}

{{Earthquakes in 2009}}

{{DEFAULTSORT:2009 West Java Earthquake}}
[[Category:2009 earthquakes|West Java]]
[[Category:2009 in Indonesia|West Java earthquake]]
[[Category:Megathrust earthquakes in Java]]

Portal:Mathematics/Featured picture/2011 10

2011-10-27T14:53:01Z

68.232.253.249: Undid revision 457591990 by 121.1.38.226 (talk)

In [[mathematics]], given a [[linear space]] <math>X</math>, a set <math>A \subseteq X</math> is '''radial''' at the point <math>x_0 \in A</math> if for every <math>x \in X</math> there exists a <math>t_x > 0</math> such that for every <math>t \in [0,t_x]</math>, <math>x_0 + tx \in A</math>.<ref name="coherent">{{cite journal|title=Coherent Risk Measures, Valuation Bounds, and (<math>\mu,\rho</math>)-Portfolio Optimization|first1=Stefan|last1=Jaschke|first2=Uwe|last2=Küchler|year=2000}}</ref> In set notation, <math>A</math> is radial at the point <math>x_0 \in A</math> if
:<math>\bigcup_{x \in X}\ \bigcap_{t_x > 0}\ \bigcup_{t \in [0,t_x]} \{x_0 + tx\} \subseteq A.</math>

The set of all points at which <math>A \subseteq X</math> is radial is equal to the [[algebraic interior]].<ref name="coherent" /><ref>{{cite book|author=Nikolaĭ Kapitonovich Nikolʹskiĭ|title=Functional analysis I: linear functional analysis|year=1992|publisher=Springer|isbn=978-3-540-50584-6}}</ref> The points at which a set is radial are often referred to as internal points.<ref name="aliprantis+border">{{cite book|last=Aliprantis|first=C.D.|last2=Border|first2=K.C.|title=Infinite Dimensional Analysis: A Hitchhiker's Guide|edition=3|publisher=Springer|year=2007|isbn=978-3-540-32696-0|doi=10.1007/3-540-29587-9|pages=199-200}}</ref><ref name="cook">{{cite web|url=http://www.johndcook.com/SeparationOfConvexSets.pdf | accessdate=November 14, 2012 |format=pdf |title=Separation of Convex Sets in Linear Topological Spaces |author=John Cook |date=May 21, 1988}}</ref>

A set <math>A \subseteq X</math> is [[absorbing set|absorbing]] if and only if it is radial at 0.<ref name="coherent" /> Some authors use the term ''radial'' as a synonym for ''absorbing'', i. e. they call a set radial if it is radial at 0.<ref name="schaefer">{{cite book | last = Schaefer | first = Helmuth H.  | year = 1971 | title = Topological vector spaces | series=[[Graduate Texts in Mathematics|GTM]] | volume=3 | publisher = Springer-Verlag | location = New York | isbn = 0-387-98726-6}}</ref>

== References ==
{{Reflist}}

{{Functional Analysis}}

[[Category:Topology]]

{{topology-stub}}