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Topic: Partition of unity

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	PlanetMath: partition of unity
		A partition of unity is a collection of continuous functions
		It is independent of the choice of partition of unity.
		This is version 7 of partition of unity, born on 2003-02-26, modified 2006-09-08.
	planetmath.org /encyclopedia/PartitionOfUnity.html (180 words)

	History Partition Of India - History Of Ancient, Medieval And Modern India.
		The partition of India refers to the creation in August 1947 of two sovereign states of India and Pakistan when Britain granted independence to the former British Raj including treaty states.
		The seeds of partition were sown long before independence, in the struggle between various factions of the Indian nationalist movement, and especially of the Indian National Congress, for control of the movement.
		The Partition was a highly controversial arrangement, and remains a cause of much tension on the Subcontinent today.
	www.bharatadesam.com /history/partition_of_india.php (1787 words)

	Partition - ExampleProblems.com
		A partition of unity is a set of functions whose sum is the constant function 1.
		Partition also refers to an algorithm used in quicksort which separates a list into two sublists, those elements less than or equal to a value and those greater than it.
		A partition (law) is an act, by a court order or otherwise, to divide up a concurrent estate in a piece of land into separate portions representing the proportionate interests of the tenants.
	www.exampleproblems.com /wiki/index.php?title=Partition&printable=yes (576 words)

	New Unity on the Irish Left
		Our concept of unity is not that it is based on theoretical agreement, but that it is based on acceptance of a common programme.
		We therefore reject all varieties of nationalism and stand for the international unity of the working class based on the knowledge that this unity is not a moral imperative but a practical necessity.
		The unity of the Irish working class is impossible without their achievement and this achievement is impossible without their inscription on the banner of the workers movement.
	www.socialistdemocracy.org /Statements/StatementNewUnityOnIrishLeft.htm (2587 words)

	Office Plant Containers, Cubicle Planter Boxes
		Partition plant containers allow you to ADD PLANTS to your office space WITHOUT SACRIFICING needed work space by utilizing a unique system that mounts your planter directly to cubicle walls, or office panel systems.
		Barb invented partition planters some 22 years ago by creating the first partition mounted planter box.
		Our partition planters have more-than-satisfied the demands of top notch Design and Plant professionals throughout the years...
	www.partition-planters.com (1152 words)

	Parallel Partition of Unity Methods
		For instance Moving Least Squares partition of unities (see [9]) involve the solution of a local approximation problem for every function evalution of the partition of unity.
		Using the shape functions defined by the partition of unity approach within a Galerkin discretization raises the question of how to compute the entries of the stiffness matrix efficiently yet with prescribed accuracy.
		Furthermore, the coupling of our Partition of Unity Method and particle methods for the treatment of lagrangian motion and transport phenomena is studied (see [4]).
	wissrech.ins.uni-bonn.de /research/projects/schweitz/pum (759 words)

	The Way Forward in Iraq: Avoiding Partition, Preserving Unity, Protecting Americaâs Interests
		It is consistent with the new unity government.
		The national unity government in which the President has put so much stock is necessary, but it is not enough.
		But the "unity" government of the past year wasn't able to govern or stop the violence.
	www.biden.senate.gov /newsroom/details.cfm?id=254933&& (2524 words)

	The Next Steps Forward with Fianna Fáil
		To bring all elements of nationalist Ireland to our peaceful analysis of partition and Irish unity, namely, that violence only bolsters partition and forces the day of unity further into the future.
		Unity based on violence or coercion is impossible and abhorrent to the values of the Irish people.
		We now have agreement that a United Ireland, if brought about by peaceful and democratic means, will happened when it is the wish of a majority within Northern Ireland in agreement with the rest of the people of Ireland.
	www.thenextsteps.ie /peace (4315 words)

	The Way Forward in Iraq: Avoiding Partition, Preserving Unity, Protecting Americaâs Interests
		It is consistent with the new unity government.
		The national unity government in which the President has put so much stock is necessary, but it is not enough.
		But the "unity" government of the past year wasn't able to govern or stop the violence.
	biden.senate.gov /newsroom/details.cfm?id=254935 (2524 words)

	The Partition of Unity Window
		Once a control point is selected, the Partition of Unity window shows the coefficient of the selected control point.
		Please note that the basis functions of the selected control point are the same; but as (u,v) changes (by dragging the uv-indicator), the way of partition of unity changes accordingly.
		Then, selecting a control point of that patch will cause the partition of unity of that patch to appear.
	www.cs.mtu.edu /~shene/COURSES/cs3621/LAB/surface/part-of-1.html (284 words)

	Unity Coalition for Israel
		The Forgotten Refugees - - Mar 20, 2007
		The platform of the national unity government - Intelligence and Terrorism Information - Mar 20, 2007
		Unity Government Program Embraces 'Resistance' And Conditional 'Calm' - - Mar 15, 2007
	www.israelunitycoalition.org /news (13434 words)

	VMware Fusion, Mac virtualization, virtual desktop for Mac - VMware (Site not responding. Last check: )
		Automatically remount Boot Camp partition after Boot Camp virtual machine is shut down
		Resolved issue where Unity windows would freeze in certain cases
		Fixed issue where Caps Lock mapping preference would always be reset after using VMware Fusion 1.1 Beta
	www.vmware.com /products/beta/fusion (322 words)

	F-rep: Shape Reconstruction Using Radial-Basis Functions and Partition of Unity
		Finally, an interesting link between our RBF fitting procedure and partition of unity approximations is established and discussed.
		We present a shape representation, the multi-level partition of unity implicit surface, that allows us to construct surface models from very large sets of points.
		There are three key ingredients to our approach: 1) piecewise quadratic functions that capture the local shape of the surface, 2) weighting functions (the partitions of unity) that blend together these local shape functions, and 3) an octree subdivision method that adapts to variations in the complexity of the local shape.
	cis.k.hosei.ac.jp /~F-rep/FRBF_MPU.html (573 words)

	History of Dutch Catholicism
		The partition of the dioceses Haarlem and the archdiocese Utrecht in 1956 intended to improve the administration of these large dioceses.
		At the centenary celebration of the restoration of the Episcopal hierarchy (1953) and in the Episcopal Instruction The catholic public life of today (1954), the bishops pleaded emphatically for a strong catholic unity as a base of operations towards society.
		Several efforts were made to stop this polarisation, but neither the Pluriformity Committee, established by the bishops in 1973, nor the conciliatory gesture by appointing cardinal J. Willebrands, as successor to Cardinal Alfrink on the Utrecht Episcopal see, had the intended effect.
	www.kdc.kun.nl /geschiedenis/geschiedenis_uk.html (2284 words)

	CSAR Noon Seminar (Site not responding. Last check: )
		The key feature of these methods is the use of a partition of unity to build the approximation space.
		This partition of unity framework has several powerful properties such as the ability to produce seamless hp approximations, the ability to develop customized approximations for specific applications like dynamic crack propagation, the ability to build p-orthotropic approximations on tetrahedral finite element meshes, etc.
		In this talk, several applications of partition of unity methods and, in particular, of the generalized finite element method (GFEM) to the solution of solid mechanics problems are shown.
	www.cse.uiuc.edu /seminars/duarte.html (201 words)

	Is partition inevitable? (Site not responding. Last check: )
		Some wish to dismiss or ignore the partitionists, but with close to 50 Quebec municipalities adopting "unity resolutions," partition is a force to be reckoned with.
		For all the charges of raising the stakes in the unity crisis, Tyler, a lawyer, Equality Party supporter and spokesperson for the Special Committee for Canadian Unity, insists partitionists are an entirely nonviolent lot--peaceniks, in fact.
		Tyler argues that partition is not an option, but rather an inevitability in the event of a unilateral declaration of independence (UDI).
	www.montrealmirror.com /ARCHIVES/1997/103097/cover2.html (566 words)

	Amazon.com: partition: Books (Site not responding. Last check: )
		Khilafat to Partition by Shakir (Unknown Binding - 1987)
		The partition of the Punjab by KirapaÌla SinÌgha (Unknown Binding - 1989)
		The estates partition act: Bengal Act V of 1897 : with an introduction containing a history and analytical review of the act, a summary of its provisions,...
	www.amazon.com /s?ie=UTF8&keywords=partition&tag=540-20&index=books&pg=19&link_code=qs&page=1 (560 words)

	MidEast Web - Middle East Israel - Palestinian Conflict TimeLine
		In retaliation for a series of escalating border raids as well as the closure of the straits of Tiran and Suez canal to Israeli shipping, and to prevent Egyptian use of newly acquired Soviet arms in a war, Israel invades the Sinai peninsula and occupies it for several months, with French and British collaboration.
		Peel and Woodhead commissions recommend partitioning Palestine into a small Jewish state and a large Arab one.
		UN Partition Resolution (GA 181) - Palestine was to be divided into a Jewish State and an Arab State; Jerusalem was to be internationalized.
	www.mideastweb.org /timeline.htm (7809 words)

	AHPCRC Preprint Abstracts (Site not responding. Last check: )
		A reproducing kernel hierarchical partition of unity is proposed in the framework of continuous representation as well as its discretized counterpart.
		This requires that a sequence of partitions of the computational mesh be computed during the course of the computation in which the amount of data migration necessary to realize subsequent partitions is minimized, while all of the domains of a given partition contain a roughly equal amount of computational weight.
		Partitioning issues are discussed and procedures to accommodate essential boundary conditions in parallel are presented.
	www.ahpcrc.org /publications/preprints/abstracts99.html (13521 words)

	McKay Hyde Abstract (Site not responding. Last check: )
		The convergence rate of this approach depends on the regularity of the scatterer, achieving third-order convergence for discontinuous scatterers and superalgebraic convergence for smooth scatterers in the far field.
		This high-order accuracy is obtained through appropriate Fourier-smoothing of the discontinuous refractive index and through a partition of unity decomposition of the Green's function.
		In more detail, we use a partition of unity decomposition of the scatterer, decomposing it into smooth bulk regions and discontinuous edge regions.
	www.nd.edu /~pdeappl/abstracts/hyde.html (199 words)

	Zionism And Its Impact By Ann M. Lesch
		They rejected the UNITED NATIONS (U.N.) partition plan of November 1947[click here for a map illustration], which granted the Jews statehood in 55 percent of Palestine, an area that included as many Arab residents as Jews.
		Zionists viewed their acceptance of territorial partition as a temporary measure; they did not give up the idea of the Jewish community's right to all of Palestine.
		Rather, territorial partition was seen by most Zionist leaders as the way to gain statehood while according certain national rights to the Palestinians.
	www.palestineremembered.com /Acre/Palestine-Remembered/Story452.html (6440 words)

	The Extended Finite Element Method (X-FEM)
		In the extended finite element method (X-FEM), a standard displacement based finite element approximation is enriched by additional (special) functions using the framework of partition of unity.
		It is a particular instance of the partition of unity finite element method (PUFEM) or the generalized finite element method (GFEM).
		Sukumar (April 2003), "Meshless Methods and Partition of Unity Finite Elements," in Proceedings of the Sixth International ESAFORM Conference on Material Forming, Ed.
	dilbert.engr.ucdavis.edu /~suku/xfem/index.html (909 words)

	Avid Unity and VCube
		When directly connecting to the Unity server with a Fiber Channel Adapter, some settings can be adjusted to optimize the streaming performances in a multi-user environment.
		Set the Mode to “Unity” and set the Nb Drives value to the number of discs installed on the Unity server partition the VCube is connected to.
		To import OMF Compositions and access referenced Media Files from the Unity server, go to Files : OMF Composition and choose a path for the Compositions (to the Unity), for the Media Files (also in Unity), and for the OMF database (this can be on the VCube local disk).
	www.merging.com /vcube/Pages/Help/VCube_and_Avid.html (380 words)

	Unity - OneLook Dictionary Search
		Unity, unity : UltraLingua English Dictionary [home, info]
		Phrases that include Unity: organization of african unity, divine unity, root of unity, partition of unity, unity gain, more...
		Words similar to Unity: 1, ace, i, integrity, one, oneness, single, unities, wholeness, accord, singleness, solidarity, more...
	www.onelook.com /?w=Unity&ls=a (309 words)

	CONSTANTIN BACUTA'S Representative Publications
		Partition of Unity Finite Element Method Implementation for Poisson Equation, with J. Sun, Advances in Applied and Computational Mathematics, Nova Publishers, 2006, pp 35-46
		Partition of unity method on non-matching grids for the Stokes problem, with J.~Chen, Y.~Huang, J.~Xu and L.T.~Zikatanov, Journal of Numerical Mathematics, Vol.13, No.3, 2005, pp.157-169.
		Partition of Unity Method for Stokes Problem on Nonmatching Grids, with Jinchao Xu, Proceedings of the 2003 Copper Mountain Conference on Multigrid Methods.
	www.math.udel.edu /~bacuta/publications.html (362 words)

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