213.132.98.198: Added clarification

2014-03-04T12:43:11Z

Added clarification

← Older revision		Revision as of 14:43, 4 March 2014
Line 1:		Line 1:
	~~A [[Set (mathematics)\|set]] ''C''~~ in a ~~[[real number\|real]]~~ or ~~[[complex number\|complex]] [[vector space]]~~ is ~~said~~ to be '''~~absolutely convex~~''' ~~if it is [[convex set\|convex]]~~ and ~~[[balanced set\|balanced]]~~.		Greetings from P.V.RAMESH BABU. I am an expert Singapore property agent , and I may also help you to decide on the appropriate property in Singapore - whether or not you are an skilled investor, a primary time purchaser or a foreigner seeking to move into Singapore.<br><br>Negotiation is a classy skill that will contribute to the success of your sale. To take action, it's essential suppress your feelings to forestall conflicts, handle unreasonable criticisms, and reply to purchaser's whims and fancies. It also consists of responding to snide remarks, answering irritating questions, and negotiating terms and situations in your favor. The subsequent step is an important one. In case you're a company, partnership or sole-proprietor (not individuals) whose enterprise entails buying, selling and leasing properties, then you definately'll need to use for a [http://hyderabad.primegateoffice.com/activity/p/172640/ house for sale in singapore] Agent's License. You should get this license from Singapore's IRAS (Inland Income Authority) Introduce and be sure that all actual property brokers are registered. Real Glorious Service Housing Allowances<br><br>Property company that covers rental and gross sales in each the residential and business market in Singapore. In case you are fascinated to be a profitable property agent in Singapore , you possibly can contact me to find out extra. Singapore Property Analysis Experiences Property company for all Singapore property needs. Sales and leases island-vast of each landed houses and condos for all budgets. Promoting and renting property in Singapore. 6 Battery Road, #32-01, Singapore 049909. We cope with with leasing, rental, sale and buy of economic and residential properties in Singapore. As an PERIOD Singapore property agent, I have entry to a database of Singapore actual estate listings including new undertaking launches. I'm glad to work with you on every other listings too. RE/MAX Singapore<br><br>Most landlord and tenant disputes are resolved by mediation or Various Dispute Resolution, usually under teams such because the Shopper Association of Singapore (CASE) and Singapore Mediation Heart (SMC). A proper courtroom continuing can be utilized, however this is often longer and costlier. Legislation Anderson Property Consultants Real estate services, letting, rental and gross sales. 9 Raffles Place, #39-00 Republic Plaza, Singapore 048619. Protects the pursuits of property agents as well as protecting the pursuits of members of the public who engage the services of estate agents. 480 Toa Payoh Lorong 6, HDB Hub East Wing #08-02, Singapore 310480. Knight Frank Property Network KF Property Community Pte Ltd The Grange – Condominium For Rent Use Just one Agent<br><br>In the end, whose fault is it really? I believe it is in the end the government's fault, for not arising with higher legislature to control the business, the people who work within the industry and the developers. They need to change the regulation so that buyers pay their own brokers and sellers pay their very own agents to create a healthy and truthful business atmosphere. After all VicLand can be chargeable for being so callous about not informing their very own in home agents that unit was no longer out there. Most likely was not obtainable even after we went to view it yesterday. And ECG additionally has to take blame for being so unprofessional and nearly unethical by resorting to what equivalent to a black mail tactics to make a sale.<br><br>Singapore has a very sturdy property market. It has one of the strongest economies within the region, and with its proficient human resource pool and strategic location, it's no surprise that Singapore has turn into enterprise and monetary hub in Southeast Asia. Singapore additionally has an financial system that always appears to be able to decide itself up without any fear or concern, and wealthy foreigners take pleasure in making the attractive island metropolis-state their second houses. With all this going for it, it's positively a superb time to be a real property agency in Singapore as residential models and commercial house are being quickly snapped up by owner-occupants and traders alike.<br><br>By participating you own skilled property agent in Singapore who will assist you and shield your curiosity all through the purchase, safe the supply for you at the absolute best worth will you be handled pretty. With a a lot better knowledge of Singapore, the agent shall be in a greater place to recommend and recommendation on the choice of property. She or he may even ensure that all documents are in order and you are dealing with the rightful proprietor of the property.

	~~== Properties ==~~

	~~A set~~ <~~math~~>C<~~/math~~> ~~is absolutely convex if~~ and ~~only if~~ for ~~any points <math>x_1~~, \, ~~x_2<~~/~~math> in~~ <~~math~~>C<~~/math~~> and ~~any numbers <math>\lambda_1~~, \, ~~\lambda_2~~<~~/math~~> ~~satisfying~~
	<~~math>\|\lambda_1\| + \|\lambda_2\| \leq 1 </math~~> the ~~sum <math>\lambda_1 x_1 + \lambda_2 x_2</math>~~
	~~belongs~~ to <~~math~~>C<~~/math~~>.

	~~Since~~ the ~~intersection of any collection of absolutely convex sets is absolutely convex then~~
	~~for any subset ''A'' of a vector space one can define~~ its '~~''absolutely convex hull'''~~
	to be the ~~intersection of~~ all ~~absolutely convex sets containing ''A'~~'.

	~~== Absolutely convex hull ==~~

	~~The absolutely convex hull of the set ''A'' assumes the following representation~~

	<~~math~~>~~\mbox{absconv} A = \left\{\sum_{i=1}^n\lambda_i x_i : n \~~in \N, \, ~~x_i \~~in ~~A, \, \sum_{i=1}^n\|\lambda_i\| \leq 1 \right\}</math>~~.

	~~==References==~~
	* {{cite book \|last=Robertson \|first=A.~~P. \|coauthors= W.J. Robertson \|title= Topological vector spaces \|series=Cambridge Tracts in Mathematics \|volume=53 \|year=1964 \|publisher= [[Cambridge University Press]] \| pages=4–6 }}~~

	~~==See also==~~
	~~{{Wikibooks\|Algebra\|Vector spaces}}~~
	*[[vector (geometric)]], for vectors in physics
	*[[Vector field]]

	~~{{Functional Analysis}}~~

	~~[[Category:Abstract algebra]]~~
	~~[[Category:Linear algebra]]~~
	~~[[Category:Group theory]]~~
	~~[[Category:Convex geometry]]~~

en>Yobot: WP:CHECKWIKI error fixes using AWB (9773)

2013-12-04T21:43:54Z

WP:CHECKWIKI error fixes using AWB (9773)

New page

A [[Set (mathematics)|set]] ''C'' in a [[real number|real]] or [[complex number|complex]] [[vector space]] is said to be '''absolutely convex''' if it is [[convex set|convex]] and [[balanced set|balanced]].

== Properties ==

A set <math>C</math> is absolutely convex if and only if for any points <math>x_1, \, x_2</math> in <math>C</math> and any numbers <math>\lambda_1, \, \lambda_2</math> satisfying
<math>|\lambda_1| + |\lambda_2| \leq 1 </math> the sum <math>\lambda_1 x_1 + \lambda_2 x_2</math>
belongs to <math>C</math>.

Since the intersection of any collection of absolutely convex sets is absolutely convex then
for any subset ''A'' of a vector space one can define its '''absolutely convex hull'''
to be the intersection of all absolutely convex sets containing ''A''.

== Absolutely convex hull ==

The absolutely convex hull of the set ''A'' assumes the following representation

<math>\mbox{absconv} A = \left\{\sum_{i=1}^n\lambda_i x_i : n \in \N, \, x_i \in A, \, \sum_{i=1}^n|\lambda_i| \leq 1 \right\}</math>.

==References==
* {{cite book |last=Robertson |first=A.P. |coauthors= W.J. Robertson |title= Topological vector spaces |series=Cambridge Tracts in Mathematics |volume=53 |year=1964 |publisher= [[Cambridge University Press]] | pages=4–6 }}

==See also==
{{Wikibooks|Algebra|Vector spaces}}
*[[vector (geometric)]], for vectors in physics
*[[Vector field]]

{{Functional Analysis}}

[[Category:Abstract algebra]]
[[Category:Linear algebra]]
[[Category:Group theory]]
[[Category:Convex geometry]]

Naimark's problem - Revision history

213.132.98.198: Added clarification

en>Yobot: WP:CHECKWIKI error fixes using AWB (9773)