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Decomposition into connected open cells of lower dimensions, by a finite set of objects
In discrete geometry, an arrangement is the decomposition of the d-dimensional linear, affine, or projective space into connected cells of different dimensions
Arrangement_(space_partition)
Topics referred to by the same term
refer to: Arrangement (space partition), a partition of the space by a set of objects of a certain type Arrangement of hyperplanes Arrangement of lines
Arrangement_(disambiguation)
Subdivision of the plane by lines
same number of lines Arrangement (space partition), a partition of the plane given by overlaid curves or of a higher dimensional space by overlaid surfaces
Arrangement_of_lines
Partition of space by hyperplanes
combinatorics, an arrangement of hyperplanes is an arrangement of a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about
Arrangement_of_hyperplanes
1947 division of British India
The partition of India in 1947 was the division of British India into two independent dominion states, the Union of India and Dominion of Pakistan. The
Partition_of_India
Mathematical ranking of a set
relations exists between every pair of elements), or as ordered partitions (partitions of the elements into disjoint subsets, together with a total order
Weak_ordering
1947 plan to divide British Palestine
The United Nations Partition Plan for Palestine was a proposal developed by the United Nations for the future government of Mandatory Palestine following
United Nations Partition Plan for Palestine
United_Nations_Partition_Plan_for_Palestine
Set of basic shapes which assemble into a polygon
polygon. A polygon partition problem is a problem of finding a partition which is minimal in some sense, for example a partition with a smallest number
Polygon_partition
molecular conformations in the partition function. In this sense, the symmetry number depends upon how the partition function is formulated. For example
Symmetry_number
Smallest 3D projective space
in the Fano 3-space. In particular, a spread of PG(3, 2) is a partition of points into disjoint lines, and corresponds to the arrangement of girls (points)
PG(3,2)
Math theorem about sphere packing
packing in three-dimensional Euclidean space. It states that no arrangement of equally sized spheres filling space has a greater average density than that
Kepler_conjecture
Family of problems in computational geometry
design (CAD). In one of its general forms, the problem is, given a partition of the space into disjoint regions, to determine the region where a query point
Point_location
Urinal designed to be used by women and girls
present, two different arrangements are currently being implemented in practice: a row arrangement (usually with a partition as a separating element)
Female_urinal
Theory within consciousness research
measured by integrated information (φs) over the substrate's minimum partition Exclusion – its cause–effect power must be definite: it must specify its
Integrated_information_theory
1945 WWII allied discussion of postwar reorganization
divided into several nations. Some examples of partition plans are shown below: The eventual partition of Germany into Allied Occupation Zones: British
Yalta_Conference
Indian national space and aeronautics agency
The Indian Space Research Organisation (ISRO /ˈɪsroʊ/) is the national space agency of India, headquartered in Bengaluru, Karnataka. It serves as the
ISRO
Temporary root file system loaded during boot of Linux
system itself, a boot image on an optical disc, a small partition on a local disk (a boot partition, usually using ext2 or FAT file systems), or a TFTP server
Initial_ramdisk
Arrangement of interrelated elements in an object/system, or the object/system itself
A structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Physical
Structure
Process of organizing workspace layout
of partitions, lighting/ layout modification, repairs, window tint, etc.) Cost of providing one work station for each employee. (Bogers 2008) Space planning
Office_space_planning
1890s–1940s German expansionist concept
Lebensraum (German pronunciation: [ˈleːbənsˌʁaʊm] , lit. 'living space') is a German concept of expansionism and Völkisch nationalism, the philosophy
Lebensraum
Separation of North and South Korea
The division of Korea or the partition of Korea began at the end of World War II on 2 September 1945, with the establishment of a Soviet occupation zone
Division_of_Korea
Country in West Asia
proposals to partition Palestine. Although some Zionists opposed partition, David Ben-Gurion supported it while regarding it as a temporary arrangement. In the
Israel
Ethnic cleansing of Palestinians
Accepted the UN Partition and Planned for Peace, pages 13-53 "Every school child knows that there is no such thing in history as a final arrangement – not with
Nakba
Space-filling system of square prisms
it is possible to fill 3/4 of the volume of three-dimensional Euclidean space by three sets of infinitely-long square prisms aligned with the three coordinate
Tetrastix
Building in Vienna, Austria
The exterior walls are load-bearing, leaving the interior walls to partition space. A central column runs through the house, hiding the plumbing and also
Rufer_House
Parts of a ship
A ship's hold or cargo hold is a space for carrying cargo in a ship or airplane compartment. Cargo in holds may be either packaged in crates, bales, etc
Hold_(compartment)
Inefficient use of storage space
unusable memory, known as slack space, is contained within an allocated region. This arrangement, termed fixed partitions, suffers from inefficient memory
Fragmentation_(computing)
Type of bed in a vehicle
double-bunk arrangement. These beds (the lower bed in a double-bunk arrangement) are usually designed in conjunction with seats which occupy the same space, and
Sleeping_berth
Technical specification for firmware architecture
standard PC disk partition scheme that uses a master boot record (MBR), UEFI also works with the GUID Partition Table (GPT) partitioning scheme, which is
UEFI
Geometric system with a finite number of points
spread would be a partition of the 15 points into 5 disjoint lines (with 3 points on each line), thus corresponding to the arrangement of schoolgirls on
Finite_geometry
Form of ownership of real property
settle border disputes when multiple claimants could not agree on how to partition the disputed territory. For example, from 1818 to 1846, Oregon Country
Condominium
Movement to end British rule in India
radical approach towards self-rule. This began with protests against the Partition of Bengal (1905), which exposed the limits of the moderate leaders' reformist
Indian_independence_movement
American mathematician
MR 0712251. Zaslavsky, Thomas (1975). Facing up to Arrangements: Face-count Formulas for Partitions of Space by Hyperplanes. Memoirs of the American Mathematical
Thomas_Zaslavsky
Vector quantization algorithm minimizing the sum of squared deviations
mean (cluster centers or cluster centroid). This results in a partitioning of the data space into Voronoi cells. k-means clustering minimizes within-cluster
K-means_clustering
Disjoint, equal-size subsets of a group's underlying set
satisfies aH = Hb. This means that the partition of G into the left cosets of H is a different partition than the partition of G into right cosets of H. This
Coset
1920s kitchen model
an L-shaped arrangement that left room for a table, and it opened to the adjoining living or dining area through either a glass partition or a serving
Stuttgart_kitchen
Training complex located in El Paso County, Colorado
and USNORTHCOM staffed the Space Surveillance Center in the same room as the Missile Warning Center, separated by partitions. The headquarters of the Cheyenne
Cheyenne_Mountain_Complex
Physical setting for a learning environment
and adaptability have seen greater use of (operable partition walls) to combine and separate spaces. Safety and security in schools, including major incidents
Learning_space
First phase of the 1947–1949 Palestine war
adopted a resolution on 29 November 1947 recommending the adoption of the Partition Plan for Palestine. During the civil war, Palestine's Jewish and Arab
1947–1948 civil war in Mandatory Palestine
1947–1948_civil_war_in_Mandatory_Palestine
American composer (born 1972)
Super Mario Galaxy Movie, among others. Tyler also created the current arrangement of the Universal Pictures logo fanfare (originally composed by Jerry
Brian_Tyler
Memory techniques adopted in ancient Roman and Greek rhetorical treatises
Simonides of Ceos, who is said to have used it to recall the seating arrangement at a banquet hall that collapsed, allowing him to identify the crushed
Method_of_loci
Historic church in Colorado, United States
ceiling. When constructed, the main level contained a movable partition allowing the space to accommodate worship services and Sunday school. In an effort
Eckert_Presbyterian_Church
Uncontrolled fire in forests or open spaces
flammable material present, its vertical arrangement and moisture content, and weather conditions. Fuel arrangement and density is governed in part by topography
Wildfire
recommended partitioning Palestine into two states: Arab and Jewish. However, the situation deteriorated into a civil war. The Arabs rejected the Partition Plan
History_of_Palestine
Type of apartment
of multiple units, with various arrangements to ensure privacy. Some studio apartments also offer extra storage space which may or may not be attached
Studio_apartment
Model of a crystalline solid
{\displaystyle q!} identical quanta arrangements, and ( N ′ − 1 ) ! {\displaystyle (N'-1)!} identical partition arrangements. Therefore, multiplicity of the
Einstein_solid
Convex polyhedron projected from hypercube
described as the Minkowski sum of a set of line segments in three-dimensional space, or as a three-dimensional projection of a hypercube. Zonohedra were originally
Zonohedron
Country in South Asia
Indian Empire was partitioned into the independent dominions of a Hindu-majority India and a Muslim-majority Pakistan. The partition brought large-scale
India
Traditional Paraguayan and Argentine drink
along one side. The largest stems and other bits create a partition between the empty space on one side of the gourd and the lopsided pile of yerba on
Mate_(drink)
UltimateDefrag performs consolidation of both disk space and files within folders, arrangement of files by volatility (most often used files) or recency
UltimateDefrag
2023 concert tour by Beyoncé
Parade". Remaining on the tank, she then performs "Savage (Remix)" and "Partition", after which the tank drives off stage, closing the section. Beginning
Renaissance_World_Tour
Pre-independence history of Pakistan
Hindu-Muslim holocaust during the partition of India and the creation of Pakistan Brass, Paul R. (2003). "The partition of India and retributive genocide
History_of_Pakistan
Passenger rail cars in Singapore
consisted of a fully longitudinal seating arrangement. The bucket seats were made of plastic; glass partitions separated the seating areas from the passenger
Kawasaki Heavy Industries C151
Kawasaki_Heavy_Industries_C151
Minkowsi sum of line segments
projection of a hypercube. Zonotopes are intimately connected to hyperplane arrangements and matroid theory. The Minkowski sum of a finite set of line segments
Zonotope
Church in Philadelphia, Pennsylvania
meeting on separate sides of a partition for worship and business, with the partition lowered for the latter. The new arrangement required two same-sized apartments
Frankford Friends Meeting House
Frankford_Friends_Meeting_House
Stadium in Orchard Park, New York
toward the center of the stadium and descending toward the end zones. The arrangement provides weather protection while leaving the field exposed to outdoor
Highmark_Stadium
Shape and/or configuration of a building
sheet glass in the 20th century caused creation of radically new space and mass arrangements. The properties of these materials enabled the Modern architecture
Form_(architecture)
Directions of north, south, east and west
October 2024. Hopkins, Nicholas A.; Josserand, J. Kathryn. "Directions and Partitions in Maya World View" (PDF). Florida State University. Retrieved 21 October
Cardinal_direction
Archaeological site and Minoan palace complex in Heraklion, Crete
use of light wells, open courts, porticoes, shafts and pier-and-door partitions allowed internal rooms to receive daylight and air despite the density
Knossos
blueprint for software agents and intelligent control systems depicting the arrangement of components. The architectures implemented by intelligent agents are
Glossary_of_computer_science
Shape with three sides
use of tetrahedral trusses.[citation needed] Triangulation means the partition of any planar object into a collection of triangles. For example, in polygon
Triangle
returned to Hungary (then part of the Habsburg monarchy) in the First Partition of Poland. Between 1772 and 1793, the city of Gdańsk, together with the
List_of_enclaves_and_exclaves
Polyhedron with eight triangular faces
squares. Schönhardt polyhedron, a non-convex polyhedron that cannot be partitioned into tetrahedra without introducing new vertices. Bricard octahedron
Octahedron
Catalan architect (1852–1926)
limitless space; its feeling of sequence, fragmented with holes and partitions, which create a divide without disrupting the feeling of open space by enclosing
Antoni_Gaudí
Number of orderings allowing ties
symmetries, closed under repeated reflections, whose mirrors partition a Euclidean space into the cells of the Coxeter complex. For instance, a ( 3 )
Ordered_Bell_number
Realization of semialgebraic sets by points
also by Kapovich and Millson in the study of the moduli spaces of linkages and arrangements. Mnëv's universality theorem also gives rise to the universality
Mnëv's_universality_theorem
Merchant Shipping Act, 1947 Irish Statute Book FitzGerald, Garret. Ireland, Partition of, Encarta, 2007. Retrieved 14 June 2007. Archived 9 September 2007 at
Flag_of_Ireland
Mathematical and computational problem
{NP}}} . This can be proven by a reduction from the partition problem: given an instance of Partition where the sum of all input numbers is 2 T {\displaystyle
Bin_packing_problem
Straight figure with zero width and depth
lines partitions the plane into convex polygons (possibly unbounded); this partition is known as an arrangement of lines. In three-dimensional space, a first
Line_(geometry)
Residential building in Manhattan, New York
above 9-inch-thick slabs of concrete. Partitions in the hallways are made of "fireproof blocks", while partitions in other parts of the building are made
The_Dakota
1939 diplomatic crisis between Poland and Nazi Germany
variously by Polish and German authorities in its long history. After the Partition of Poland, it had been ruled by Prussia from 1793 and the German Empire
Danzig_crisis
Sliding puzzle with fifteen pieces and one space
configuration that is invariant under any valid move and then using this to partition the space of all possible labelled states into two mutually inaccessible equivalence
15_puzzle
Country in South Asia
All-India Muslim League, Pakistan gained independence in 1947 after the partition of British India, which awarded separate statehood to its Muslim-majority
Pakistan
Polish satirical comedy television series
Adamczycha. It looked so authentic that you basically just had to enter that space and play. — Dobromir Dymecki, Radio Eska Filming for the second season took
1670_(TV_series)
n {\displaystyle n} ? The Kelvin problem on minimum-surface-area partitions of space into equal-volume cells, and the optimality of the Weaire–Phelan
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
even perfect numbers Euler's theorem, on modular exponentiation Euler's partition theorem relating the product and series representations of the Euler function
List of topics named after Leonhard Euler
List_of_topics_named_after_Leonhard_Euler
Country in Northwestern Europe
formed the United Kingdom of Great Britain and Ireland. Following the partition of Ireland and the independence of the Irish Free State in 1922, which
United_Kingdom
King of Saudi Arabia from 1964 to 1975
government rejected the partition plan as impractical. The British government issued a policy statement rejecting partition as impracticable due to "political
Faisal_of_Saudi_Arabia
Snail-shaped part of inner ear involved in hearing
divided through most of its length by an inner membranous partition. Two fluid-filled outer spaces (ducts or scalae) are formed by this dividing membrane
Cochlea
Military occupation by Israel since 1967
It was in this context that Ben-Gurion argued forcefully for accepting partition agreements as temporary measures, steps on the way to an incremental incorporation
Israeli occupation of the West Bank
Israeli_occupation_of_the_West_Bank
Engineering discipline of marine vessels
force the bulkheads provide. Arrangements involves concept design, layout and access, fire protection, allocation of spaces, ergonomics and capacity. Construction
Naval_architecture
Proposed resolution of the Israeli–Palestinian conflict
Commission, which recommended the partition of Palestine. While the Jewish community largely supported the concept of partition, the Arab community entirely
One-state_solution
Dispute between Greek and Turkish Cypriots
stable government. The desire of some of the ethnic Turkish people for the partition of the island of Cyprus through Taksim, the desire of some of the ethnic
Cyprus_problem
(while working in Leeds) received a Nobel Prize for the invention of partition chromatography in 1952, food scientists began to develop flavours via
Culture_of_the_United_Kingdom
Austro-Hungarian-born Pakistani Muslim polymath (1900–1992)
first time in history. Asad responded positively and started making the arrangements for his translation. In order to find a place serene enough to stimulate
Muhammad_Asad
National museum in Kraków, Poland
service spaces, as well as improved thematic layout of the display, providing a broader view of Polish art of the time. The gallery's arrangement resembles
Sukiennice_Museum
Type of flat
members to compete for space and is more likely to experience family conflicts. The process of adding non-structural partitions and openings in structural
Subdivided_flat
Global conflict from 1939 to 1945
Poland was also invaded by the Soviet Union in mid-September, and was partitioned between the two states under the Molotov–Ribbentrop Pact. In 1940, the
World_War_II
South Korean singer (born 1996)
noting her sway with consumers. The hairpins Jennie wore in a five-by-five partition during her performances of her debut single "Solo" instantly trended in
Jennie_(singer)
Partition found in medieval church architecture
feature in late medieval church architecture. It is typically an ornate partition between the chancel and nave, of more or less open tracery constructed
Rood_screen
Geometric arrangements of points, foundational to Lie theory
mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental in
Root_system
Aggressive type of brain cancer
"Reexamining the radiation therapy oncology group (RTOG) recursive partitioning analysis (RPA) for glioblastoma multiforme (GBM) patients". International
Glioblastoma
Religious site in Jerusalem
divided by barbed wire, walls, and a fortified no man's land. During the partition, Israeli Jews were barred from visiting the Western Wall and the Haram
Temple_Mount
Software Releases 12.0 S, MPLS Label Distribution Protocol (LDP)". "Arrangement in a Router of a Mobile Network for Optimizing Use of Messages Carry8ing
List of TCP and UDP port numbers
List_of_TCP_and_UDP_port_numbers
Type of chromatography
also sometimes known as vapor-phase chromatography (VPC), or gas–liquid partition chromatography (GLPC). These alternative names, as well as their respective
Gas_chromatography
Multi-purpose arena in Debrecen, Hungary
multifunctional area that can be freely divided with the help of relocatable partition walls. In the city, the demand had long been in the air for a state-of-the-art
Főnix_Aréna
Internationally recognized border between Israel and Palestine
the Green Line superseded entirely the partition lines proposed and voted on by the United Nations in the Partition Plan of 1947 and which Israel had accepted
Green_Line_(Israel)
hyperplanes in general position in d-dimensional real projective space form an arrangement of hyperplanes in which one of the cells is bounded by all of
McMullen_problem
1977 studio album by Fleetwood Mac
band jammed, Fleetwood often played his drum kit outside the studio's partition screen to better gauge Caillat's and Dashut's reactions to the music's
Rumours_(album)
Seat used in trains
car on each set has a wheelchair space that spans the area between the doors. In the center partition of this space, there are simple perch seats that
Train_seat
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ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
ARRANGEMENT SPACE-PARTITION
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