Algebraic code-excited linear prediction: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Smartyhall
m Disambiguated: ROMRead-only memory
 
added date to patent
 
Line 1: Line 1:
A '''triangulation of a set of points''' '''P''' in the [[plane (geometry)|plane]] is a [[Polygon triangulation|triangulation]] of the [[convex hull]] of '''P''', with all points from '''P''' being among the vertices of the triangulation.{{sfn |de Berg|van Kreveld|Overmars|Schwarzkopf|2008|loc=Section 9.1}} Triangulations are special cases of [[planar straight-line graph]]s.
From 22 Oct 2010 onwards, one of the key salesperson registration criteria for entry into the actual estate agent trade will likely be to move the mandatory examination set by the Council for Property Agencies (CEA) or possess equal qualification. Prior to taking the examination, candidates can be required to finish the preparatory RES course performed by a CEA Permitted Course Supplier (ACP).<br><br>Plus, investing in Singapore property will net you actual estate you can lease out to others and earn some monthly revenue. This rental revenue can be used [http://www.primaboinca.com/view_profile.php?userid=5788123 condo for sale] no matter financial needs you have got and then if the property charge of value goes up high sufficient, you may determine to promote it or to not make an even greater revenue. One good way to get your property value to go up is to renovate it and make it even higher so you can also make extra ROI. There are No capital good points tax<br><br>Does the property agent have any particular community they faucet on, or any more unique strategies of getting leads? The perfect have their very own strategies that produce actual results. 6. Property Specialization Accepting a critical provide is less complicated since your agent is absolutely aware of all advertising and marketing activity related along with your property. This reduces your having to verify with a number of agents for another presents. Price control is easily achieved. To compute the rental value of the naked residential unit, the annual worth (as proven in the Valuation Listing and Valuation Notice) of the property ought to be used. The monthly rental worth of the bare unit shall be taken as 1/12 of the annual value of the property. ANY company has an in house training program. Website - www.hastor.com.sg<br><br>Like your self when I first decided to change careers into this trade, I was involved to check out in the undertaking gross sales market. I started as a component time agent myself, over a span of 3 weeks from signing up, I quit my full time work to do actual estate full time. Simply because the outcomes I used to be creating proved to be too great to surrender doing my full time work. All companies have their own in home coaching, however what number of successful agents had been trained to "train"? Being profitable could be very totally different from having the ability to influence one other person's success. This has been a market apply but shouldn't be essentially a rule. The market is very unstable and scenarios keep changing based on the demand and supply for housing at a specific time. FEATURED INDUSTRIAL BROKERS<br><br>Paterson Suites in Singapore - Visually beautiful architecture, iconic feature in Singapore's landscape. Luxury condominium development providing you the best in location, house, privateness and facilities. To collect more data when they're interested to purchase a brand new property Senior Sale Team Affiliate Advertising and marketing Director Property Management Marketing consultant Analysis Only if they're incompetence, unresponsive or not displaying the right property you needed, then start to search for another agent. as a result of the property market is hot and is clearly unsustainable, real estate brokers can be out of hand. we had pals with plenty of properties and introduced their agents to us and we nonetheless find them disappointing. OK, keep away from property portals, but how will you find an agent then?<br><br>The Singapore Tourism Board web site lists a complete listing of places to remain and their estimated price range. The STB additionally publishes a complete student lodging handbook which you'll seek advice from. You can too visit other web sites like Scholars Hyperlink , Share Accommodation and Hostelz.com The annual registration fee for every real-estate agent employed is S$230 and the application payment to newly register or renew the registration of every real property agent is around S$54. Be aware that the annual registration payment and application payment is payable every time the true estate agent switches companies. On a Remaining Notice Paint work in good restore-discuss together with your Property Marketing consultant if main works are nonetheless to be carried out. FINISH OF DEBATE with the mentioned agent)<br><br>Have you ever ever marvel why and what makes these Prime Agents Persistently making 6 Figures a year, nearly effortlessly and consistently? Effectively, this was the primary questioned I requested myself, when I first started my real property career. Fast ahead 1 Yr since I started, I used to be 6 figure in my first month, third month and to cut the story quick, I closed well over $sixty seven,000,000 value of properties in my first year. I felt like I created a "DENT MY UNIVERSE". For those who're not out there exposing your self in front of customers on a regular basis, then you're loosing out massive time, because during good occasions, brokers get listing from their mates and connections. However, when times are dangerous, you will see a big number of brokers dropped out. Good news for prime achievers although!
 
There are special triangulations like the [[Delaunay triangulation]] which is the [[Dual polytope|geometric dual]] of the [[Voronoi diagram]]. Subsets of the Delaunay triangulation are the [[Gabriel graph]], [[nearest neighbor graph]] and the [[minimal spanning tree]].
 
Triangulations have a number of applications, and there is an interest to find a "good" triangulation for a given point set under some criteria. One of them is a [[minimum-weight triangulation]]. Sometimes it is desirable to have a triangulation with special properties, e.g., in which all triangles have large angles (long and narrow ("splinter") triangles are avoided).
 
Given a set of edges that connect some pairs of the points, the problem to determine whether they contain a triangulation is [[NP-complete]] .{{sfn |Lloyd|1977}}
 
==Triangulation and convex hull==
A triangulation of the set ''S'' of ''n''-dimensional points in [[general position]] may be derived from the [[convex hull]] of a set of points ''S''<sub>1</sub> in the space of dimension larger by 1 which are the projections of the original point set onto the paraboloid surface <math>x_{n+1} = x_1^2+\cdots+x_n^2</math>. One has to construct the convex hull of the set ''S''<sub>1</sub> and project it back onto the space of ''S''. If points are not in general position, additional effort is required to triangulate the non-tetrahedral [[facet (geometry)|facet]]s.
 
== Complexities ==
 
The following is a table of time complexity results for different kinds of optimal point set triangulations.
 
{| class="wikitable" style="border:none;text-align:center;"
|-
! style="background:white;border:none;" colspan="2" |
! style="padding:1em;" | minimize
! style="padding:1em;" | maximize
|-
! style="padding:1em;" | minimum
! rowspan="2" style="padding:1em;" | angle
| bgcolor="darkgray" |
| <math>O(n \log n)</math> <br /> ([[Delaunay triangulation]])
|-
! style="padding:1em;" | maximum
| <math>O(n^2 \log n)</math> {{sfn |Edelsbrunner|Tan|Waupotitsch|1990}} {{sfn |Bern|Edelsbrunner|Eppstein|Mitchell|1993}}
| bgcolor="darkgray" |
|-
! style="padding:1em;" | minimum
! rowspan="2" style="padding:1em;" | area
| <math>O(n^2)</math> {{sfn |Chazelle|Guibas|Lee|1985}}
| <math>O(n^2 \log n)</math> {{sfn |Vassilev|2005}}
|-
! style="padding:1em;" | maximum
| <math>O(n^2 \log n)</math> {{sfn |Vassilev|2005}}
| bgcolor="darkgray" |
|-
! style="padding:1em;" | maximum
! rowspan="1" style="padding:1em;" | degree
| [[NP-complete]] <br /> for degree of 7 {{sfn |Jansen|1992}}
| bgcolor="darkgray" |
|-
! style="padding:1em;" | maximum
! rowspan="1" style="padding:1em;" | eccentricity
| <math>O(n^3)</math> {{sfn |Bern|Edelsbrunner|Eppstein|Mitchell|1993}}
| bgcolor="darkgray" |
|-
! style="padding:1em;" | minimum
! rowspan="3" style="padding:1em;" | edge length
| <math>O(n \log n)</math> <br /> ([[Closest pair of points problem]])
| [[NP-complete]] {{sfn |Fekete|2012}}
|-
! style="padding:1em;" | maximum
| <math>O(n^2)</math> {{sfn |Edelsbrunner|Tan|1991}}
| <math>O(n \log n)</math> <br /> (using the [[Convex hull algorithms|Convex hull]])
|-
! style="padding:1em;" | sum of
| [[NP-hard]] <br /> ([[Minimum-weight triangulation]])
| bgcolor="darkgray" |
|-
! style="padding:1em;" | minimum
! rowspan="1" style="padding:1em;" | height
| bgcolor="darkgray" |
| <math>O(n^2 \log n)</math> {{sfn |Bern|Edelsbrunner|Eppstein|Mitchell|1993}}
|-
! style="padding:1em;" | maximum
! rowspan="1" style="padding:1em;" | slope
| <math>O(n^3)</math> {{sfn |Bern|Edelsbrunner|Eppstein|Mitchell|1993}}
| bgcolor="darkgray" |
|}
 
==See also==
*[[Polygon triangulation]]
 
==Notes==
{{reflist|colwidth=30em}}
 
==References==
{{refbegin|colwidth=30em}}
* {{citation
| last1 = Bern | first1 = M.
| last2 = Edelsbrunner | first2 = H. | author2-link = Herbert Edelsbrunner
| last3 = Eppstein | first3 = D. | author3-link = David Eppstein
| last4 = Mitchell | first4 = S.
| last5 = Tan | first5 = T. S.
| doi = 10.1007/BF02573962
| issue = 1
| journal = [[Discrete and Computational Geometry]]
| mr = 1215322
| pages = 47–65
| title = Edge insertion for optimal triangulations
| volume = 10
| year = 1993
| ref = harv
}}
* {{cite journal
| last1 = Chazelle | first1 = Bernard
| last2 = Guibas | first1 = Leo J.
| last3 = Lee | first3 = D. T.
| title = The power of geometric duality
| journal = BIT
| volume = 25
| issue = 1
| year = 1985
| issn = 0006-3835
| pages = 76–90
| url = http://www.cs.princeton.edu/~chazelle/pubs/PowerDuality.pdf
| doi = 10.1007/BF01934990
| publisher = BIT Computer Science and Numerical Mathematics
| ref = harv
}}
* {{cite book
| last1 = de Berg | first1 = Mark
| last2 = van Kreveld | first2 = Marc
| last3 = Overmars | first3 = Mark
| last4 = Schwarzkopf | first4 = Otfried
| title = Computational Geometry: Algorithms and Applications
| edition = 3
| publisher = Springer-Verlag
| url = http://www.cs.uu.nl/geobook/
| year = 2008
| ref = harv
}}
* {{cite conference
| last1 = Edelsbrunner | first1 = Herbert
| last2 = Tan | first2 = Tiow Seng
| last3 = Waupotitsch | first3 = Roman
| year = 1990
| title = An O(n2log n) time algorithm for the MinMax angle triangulation
| booktitle = Proceedings of the sixth annual symposium on Computational geometry
| series = SCG '90
| pages = 44–52
| url = http://doi.acm.org/10.1145/98524.98535
| isbn = 0-89791-362-0
| doi = 10.1145/98524.98535
| publisher = ACM
| ref = harv
}}
* {{cite conference
| last1 = Edelsbrunner | first1 = Herbert
| last2 = Tan | first2 = Tiow Seng
| year = 1991
| title = A quadratic time algorithm for the minmax length triangulation
| booktitle = 32nd Annual Symposium on Foundations of Computer Science
| pages = 414–423
| url = http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=185400
| isbn = 0-8186-2445-0
| doi = 10.1109/SFCS.1991.185400
| ref = harv
}}
* {{cite arXiv
| last = Fekete
| first = Sándor P.
| eprint = 1208.0202
| title = The Complexity of MaxMin Length Triangulation
| year = 2012
| version = v1
| ref = harv
}}
* {{cite conference
| last = Jansen
| first = Klaus
| year = 1992
| title = The Complexity of the Min-max Degree Triangulation Problem
| booktitle = 9th European Workshop on Computational Geometry
| pages = 40–43
| url = http://tizian.cs.uni-bonn.de/EuroCG93/j-cmmdt-93.pdf
| ref = harv
}}
* {{cite conference
| last = Lloyd
| first = Errol Lynn
| year = 1977
| title = On triangulations of a set of points in the plane
| booktitle = 18th Annual Symposium on Foundations of Computer Science
| pages = 228–240
| url = http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=4567947
| issn = 0272-5428
| doi = 10.1109/SFCS.1977.21
| ref = harv
}}
* {{cite thesis
| type = Ph.D.
| first = Tzvetalin Simeonov
| last = Vassilev
| title = Optimal Area Triangulation
| publisher = University of Saskatchewan, Saskatoon
| year = 2005
| url = http://ecommons.usask.ca/bitstream/handle/10388/etd-08232005-111957/thesisFF.pdf
| ref = harv
}}
{{refend}}
 
{{DEFAULTSORT:Point Set Triangulation}}
[[Category:Triangulation (geometry)]]
 
[[de:Gitter (Geometrie)#Dreiecksgitter]]
[[fr:Triangulation d'un ensemble de points]]

Latest revision as of 18:15, 31 December 2014

From 22 Oct 2010 onwards, one of the key salesperson registration criteria for entry into the actual estate agent trade will likely be to move the mandatory examination set by the Council for Property Agencies (CEA) or possess equal qualification. Prior to taking the examination, candidates can be required to finish the preparatory RES course performed by a CEA Permitted Course Supplier (ACP).

Plus, investing in Singapore property will net you actual estate you can lease out to others and earn some monthly revenue. This rental revenue can be used condo for sale no matter financial needs you have got and then if the property charge of value goes up high sufficient, you may determine to promote it or to not make an even greater revenue. One good way to get your property value to go up is to renovate it and make it even higher so you can also make extra ROI. There are No capital good points tax

Does the property agent have any particular community they faucet on, or any more unique strategies of getting leads? The perfect have their very own strategies that produce actual results. 6. Property Specialization Accepting a critical provide is less complicated since your agent is absolutely aware of all advertising and marketing activity related along with your property. This reduces your having to verify with a number of agents for another presents. Price control is easily achieved. To compute the rental value of the naked residential unit, the annual worth (as proven in the Valuation Listing and Valuation Notice) of the property ought to be used. The monthly rental worth of the bare unit shall be taken as 1/12 of the annual value of the property. ANY company has an in house training program. Website - www.hastor.com.sg

Like your self when I first decided to change careers into this trade, I was involved to check out in the undertaking gross sales market. I started as a component time agent myself, over a span of 3 weeks from signing up, I quit my full time work to do actual estate full time. Simply because the outcomes I used to be creating proved to be too great to surrender doing my full time work. All companies have their own in home coaching, however what number of successful agents had been trained to "train"? Being profitable could be very totally different from having the ability to influence one other person's success. This has been a market apply but shouldn't be essentially a rule. The market is very unstable and scenarios keep changing based on the demand and supply for housing at a specific time. FEATURED INDUSTRIAL BROKERS

Paterson Suites in Singapore - Visually beautiful architecture, iconic feature in Singapore's landscape. Luxury condominium development providing you the best in location, house, privateness and facilities. To collect more data when they're interested to purchase a brand new property Senior Sale Team Affiliate Advertising and marketing Director Property Management Marketing consultant Analysis Only if they're incompetence, unresponsive or not displaying the right property you needed, then start to search for another agent. as a result of the property market is hot and is clearly unsustainable, real estate brokers can be out of hand. we had pals with plenty of properties and introduced their agents to us and we nonetheless find them disappointing. OK, keep away from property portals, but how will you find an agent then?

The Singapore Tourism Board web site lists a complete listing of places to remain and their estimated price range. The STB additionally publishes a complete student lodging handbook which you'll seek advice from. You can too visit other web sites like Scholars Hyperlink , Share Accommodation and Hostelz.com The annual registration fee for every real-estate agent employed is S$230 and the application payment to newly register or renew the registration of every real property agent is around S$54. Be aware that the annual registration payment and application payment is payable every time the true estate agent switches companies. On a Remaining Notice Paint work in good restore-discuss together with your Property Marketing consultant if main works are nonetheless to be carried out. FINISH OF DEBATE with the mentioned agent)

Have you ever ever marvel why and what makes these Prime Agents Persistently making 6 Figures a year, nearly effortlessly and consistently? Effectively, this was the primary questioned I requested myself, when I first started my real property career. Fast ahead 1 Yr since I started, I used to be 6 figure in my first month, third month and to cut the story quick, I closed well over $sixty seven,000,000 value of properties in my first year. I felt like I created a "DENT MY UNIVERSE". For those who're not out there exposing your self in front of customers on a regular basis, then you're loosing out massive time, because during good occasions, brokers get listing from their mates and connections. However, when times are dangerous, you will see a big number of brokers dropped out. Good news for prime achievers although!