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arranged in such a way as to cover the unit disk? More unsolved problems in mathematics The disk covering problem asks for the smallest real number r ( n
Disk_covering_problem
Type of computational problem
In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure 'covers' another
Covering_problems
Classical problem in combinatorics
g., disks, rectangles). Set packing is the problem of selecting the maximum number of sets that are pairwise disjoint. Maximum coverage problem is to
Set_cover_problem
circles. The disk covering problem about finding the smallest real number r ( n ) {\displaystyle r(n)} such that n {\displaystyle n} disks of radius r
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Two-dimensional packing problem
smaller number > 1. (Higher density records all have rattles.) Disk covering problem Square packing in a circle Friedman, Erich, "Circles in Circles"
Circle_packing_in_a_circle
overlap? More unsolved problems in mathematics The covering problem of Rado is an unsolved problem in geometry concerning covering planar sets by squares
Covering_problem_of_Rado
Phylogenetic method
both heuristics for NP-hard optimization problems and polynomial-time distance-based methods. Disk-covering methods are a meta-technique in that they
Disk-covering_method
Metric space with double measurement
1238226. ISBN 0-7695-2040-5. S2CID 796386. W., Weisstein, Eric. "Disk Covering Problem". mathworld.wolfram.com. Retrieved 2018-03-03.{{cite web}}: CS1
Doubling_space
Image scanning device
A Nipkow disk (sometimes Anglicized as Nipkov disk; patented in 1884), also known as scanning disk, is a mechanical, rotating, geometrically operating
Nipkow_disk
Topologically invariant definition of the dimension of a space
The covering dimension of the disk is thus two. More generally, the n-dimensional Euclidean space E n {\displaystyle \mathbb {E} ^{n}} has covering dimension
Lebesgue_covering_dimension
Unsolved geometry problem about planar regions
the region. In some variations of the problem, the region is restricted to be convex. For example, a circular disk of radius 1/2 can accommodate any plane
Moser's_worm_problem
Finding the smallest circle that contains all given points
smallest-circle problem (also known as minimum covering circle problem, bounding circle problem, least bounding circle problem, smallest enclosing circle problem) is
Smallest-circle_problem
Special way of connecting two objects through flexible links
1975, solves this problem with a rotating disk above a base from which a cable extends up, over, and onto the top of the disk. As the disk rotates the plane
Anti-twister_mechanism
O(n\log ^{4}n)} time for range spaces induced by 2D disks. Set cover problem Vertex cover Lebesgue covering dimension Carathéodory's extension theorem Fowler
Geometric_set_cover_problem
Unrelated vertices in graphs
. The optimization problem of finding such a set is called the maximum independent set problem. It is a strongly NP-hard problem. As such, it is unlikely
Independent set (graph theory)
Independent_set_(graph_theory)
Area of discrete mathematics
Museum guard problem Covering problems in graphs may refer to various set cover problems on subsets of vertices/subgraphs. Dominating set problem is the special
Graph_theory
Discontinued family of computer operating systems
CP/M is a disk operating system and its purpose is to organize files on a magnetic storage medium, and to load and run programs stored on a disk. Initially
CP/M
1959 experimental VTOL aircraft model
design could offer high performance for both regimes. The blown disk could attack this problem by being laid out for supersonic performance only, and then
Avro_Canada_VZ-9_Avrocar
Monitoring system in computer drives
acronym S.M.A.R.T. or SMART) is a monitoring system included in computer hard disk drives (HDDs) and solid-state drives (SSDs). Its primary function is to detect
Self-Monitoring, Analysis and Reporting Technology
Self-Monitoring,_Analysis_and_Reporting_Technology
Approximation to shape of a point cloud
concept of a generalized disk of radius 1/α as follows: If α = 0, it is a closed half-plane; If α > 0, it is a closed disk of radius 1/α; If α < 0, it
Alpha_shape
a 720K disk would not function correctly; the Mac assumed that any high-density disk has been formatted as an HD disk. To solve this problem, a user
Apple_File_Exchange
System recovery feature in Microsoft Windows
allotted disk space is insufficient for newer Restore points. Consequently, in systems with little space allocated, if a user does not notice a new problem within
System_Restore
Theorem in topology
interval I {\displaystyle I} in the real numbers to itself or from a closed disk D {\displaystyle D} to itself. A more general form than the latter is for
Brouwer_fixed-point_theorem
Computer operating system
acronym for IBM Personal Computer Disk Operating System), also known as IBM DOS or PC DOS, is a discontinued disk operating system for the IBM Personal
IBM_PC_DOS
American mathematician and biomedical engineer
infinite disks, etc. Wendl examined a number of matching and covering problems in combinatorial probability, especially as these problems apply to molecular
Michael_Christopher_Wendl
Geometric construct
generic situation (e.g., inside the inscribed disk of a large Aztec diamond) Mutilated chessboard problem, a puzzle concerning domino tiling of a 62-square
Domino_tiling
Geometric concept
Unsolved problem in mathematics What is the maximum possible kissing number for n-dimensional spheres in (n + 1)-dimensional Euclidean space? More unsolved
Kissing_number
Mathematical representation
H1(Dn) → Z be the projection onto this invariant subspace. Then there is a covering space Cn corresponding to this projection map. Much like in the construction
Burau_representation
Optical analog video disc format
use. Housed in a protective caddy, the disc resembled an oversized floppy disk. The CRVdisc was used by the BBC for many years to playout idents. The LaserRecorder
LaserDisc
Mathematical problem about tiling the plane with stripes
Tarski's plank problem, on covering bounded sets by stripes Malikiosis, R. D.; Matolcsi, M.; Ruzsa, I. Z. (2013). "A note on the pyjama problem". European
Pyjama_problem
Disk encryption software
specially crafted data on the disk. To address this problem in its predecessors, dm-crypt included provisions for more elaborate, disk encryption-specific modes
Dm-crypt
1984 video game
the next year or two, compatibility with Sublogic Scenery Disks was provided, gradually covering the whole U.S. (including Hawaii), Japan, and part of Europe
Microsoft Flight Simulator 2.0
Microsoft_Flight_Simulator_2.0
Errors in computer data that introduce unintended changes to the original data
to be faulty at a rate of several in thousands of cores. One problem is that hard disk drive capacities have increased substantially, but their error
Data_corruption
Subset of a graph's nodes such that all other nodes link to at least one
set covering was one of Karp's 21 NP-complete problems. There exist a pair of polynomial-time L-reductions between the minimum dominating set problem and
Dominating_set
1977 microcomputer by Tandy Corporation
common problem on many early floppy drives. The E/I displays a screen full of garbage characters on power up and unless a bootable system disk is present
TRS-80
Covering by shapes without overlaps or gaps
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In
Tessellation
Mathematical behavior near singularities
of covering spaces leading to the Riemann existence theorem. Braid group Monodromy matrix Monodromy theorem Mapping class group (of a punctured disk) König
Monodromy
Flat, usually circular disc that encodes binary data
31⁄2-inch floppy disk, most optical discs do not have an integrated protective casing and are therefore susceptible to data transfer problems due to scratches
Optical_disc
Removing sensitive information from a document to allow distribution
storage mechanism (disk, RAM, etc.) still allows information to be read, despite its nominal erasure. The general term for this problem is data remanence
Redaction
Geologic eon, 4567–4031 million years ago
the age of the oldest solid material in the Solar System—protoplanetary disk dust particles—found as chondrules and calcium–aluminium-rich inclusions
Hadean
Mathematical Sentence
function along a curve via analytic functions defined on small overlapping disks covering that curve. Formally, consider a curve (a continuous function) γ : [
Monodromy_theorem
Editor for byte manipulation
SUPERZAP (AMASPZAP) was available for IBM OS/360 systems which could edit raw disk records and also understood the format of executable files. Pairs of hexadecimal
Hex_editor
Mathematical theorem
inverse is also holomorphic) from U {\displaystyle U} onto the open unit disk D = { z ∈ C : | z | < 1 } . {\displaystyle D=\{z\in \mathbb {C} :|z|<1\}
Riemann_mapping_theorem
Outermost layer of the Sun's atmosphere
is typically obscured by diffuse sky radiation and glare from the solar disk, but can be easily seen by the naked eye during a total solar eclipse or
Solar_corona
Disruption of radio signals by nuclear detonation
molecules. Since the reaction takes place between 50 and 60 km, the result is a disk of ionized air about 10 km thick and (typically) several hundred kilometers
Nuclear_blackout
Well-spaced set of points in a metric space
In the mathematical theory of metric spaces, ε-nets, ε-packings, ε-coverings, uniformly discrete sets, relatively dense sets, and Delone sets (named after
Delone_set
Mathematics book
good (and bad) approaches to the topic. The notes also identify unsolved problems, point out areas of potential application, and provide connections to other
Tilings_and_patterns
Copy-on-write file system
data storage). Example: A RAID array of 2 hard drives and an SSD caching disk is controlled by Intel's RST system, part of the chipset and firmware built
ZFS
and reported to the user with options for problem resolution. Disk Diagnostics detect impending hard disk drive failures and prompt the user to perform
Management features new to Windows Vista
Management_features_new_to_Windows_Vista
Perimeter of a circle or ellipse
to the circle itself, that is, the locus corresponding to the edge of a disk. The circumference of a sphere is the circumference, or length, of any one
Circumference
Single, usually cylindrical, flexible strand or bar or rod of metal
toothed gears; the wire passes through the centre of disks mounted above a long bed, and the disks carry each a number of bobbins varying from six to twelve
Wire
Data structure for query optimization in databases
items is selected. Since the physical records are in this sort order on disk, the next row item in the sequence is immediately before or after the last
Database_index
Action in computer graphic user interfaces
original Macintosh to manipulate files (for example, copying them between disks or folders). System 7 added the ability to open a document in an application
Drag_and_drop
Religious symbol representing a ring of light around the head or whole body
floor, disk'), also called a nimbus, aureole, glory or gloriole (Latin: gloriola, lit. 'little glory'), is a crown of light rays, circle or disk of light
Halo_(religious_iconography)
Free online crowdsourced encyclopedia
topic covered encyclopedically in one article. Since it has terabytes of disk space, it can have far more topics than can be covered by any printed encyclopedia
Wikipedia
Any planar graph can be subdivided by removing a few vertices
must equal the distances in the disk enclosed by C {\displaystyle C} (a shorter path through the interior of the disk would form part of the boundary
Planar_separator_theorem
Analog video disc playback system
Videodisc/Optical Disk Magazine Wikimedia Commons has media related to Capacitance Electronic Disc. The 'Total Rewind' VCR museum, covering CED and other
Capacitance_Electronic_Disc
Weapon guidance system utilizing the target's infrared emissions to track it
behind the disk at the 12 o'clock position. A target is located just above the missile. The sensor begins to see the target when the disk is at 9 o'clock
Infrared_homing
Shoulder junction between the scapula and the clavicle
the trapezius and deltoideus; below, it is in contact with the articular disk when this is present. Inferior acromioclavicular ligament This ligament is
Acromioclavicular_joint
Number of vertices with unambiguous distances
problem, a problem of covering all of a given collection of elements by as few sets as possible in a given family of sets. In the set cover problem formed
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
List of statements that appear to contradict themselves
paradox: On the kinematics of a rigid rotating disk. Ladder paradox: Introductory relativity problem about a ladder, a barn, and simultaneity. Mocanu's
List_of_paradoxes
Study of space and shapes locally given by a convergent power series
D_{1}} onto the unit disk and existence of w = g ( z ) {\displaystyle w=g(z)} mapping D 2 {\displaystyle D_{2}} onto the unit disk. Thus g − 1 f {\displaystyle
Geometric_function_theory
Concept in computational geometry
of unit disks, M=3, because the leftmost disk (the disk whose center has the smallest x coordinate) intersects at most 3 other disjoint disks (see figure)
Maximum_disjoint_set
1981 American microcomputer model
populated with one or two 5.25″ floppy disk drives, storing 160 KB per disk side for a total of 320 KB of storage on one disk. The floppy drives require a controller
IBM_Personal_Computer
2020 video game
Retrieved April 22, 2021. "Soundtrack Album of the Year". The Japan Gold Disk Award. January 1, 2021. Archived from the original on April 17, 2021. Retrieved
Final_Fantasy_VII_Remake
Study of mathematical knots
fundamental problem in knot theory is determining when two descriptions represent the same knot. A complete algorithmic solution to this problem exists, which
Knot_theory
Largest distance between two points
that, for a given diameter, the planar shape with the largest area is a disk, and the three-dimensional shape with the largest volume is a sphere. The
Diameter_of_a_set
Hard disk digital audio player
digital audio player. Introduced in 1999, it preceded the Apple iPod, SanDisk Sansa, and other similar players. It was designed and developed by Compaq
Personal_Jukebox
Mathematical descriptions of a rotation group
consider the space as the three-dimensional sphere S3, the boundary of a disk in 4-dimensional Euclidean space. For doing this, we will have to define
Charts_on_SO(3)
Home computer and electronics manufacturer
resident; based on Microsoft BASIC Commodore DOS – Disk operating system for the 8-bit range; embedded in disk drive ROMs KERNAL – Core OS routines for the
Commodore_International
Computer magazine
Donnell had been deputy editor and joined PCMag.com as a senior editor covering consumer electronics in 2007. As of January 2025, Donnell remained as editor-in-chief
PCMag
Type of computer data storage
[including SSD (solid state disks), SAN (storage area network) and DAS (direct attached storage) and Unified Storage(SAN and NAS)] covering a wide range of price
Software-defined_storage
Relation between sides of a right triangle
includes a problem involving two squares whose areas sum to a third square, whose solution is the Pythagorean triple 6:8:10, but the problem does not mention
Pythagorean_theorem
Measure of a civilization's evolution
emitted by the accretion disk. A less exotic means would be to simply capture photons already escaping from the accretion disk, thereby reducing a black
Kardashev_scale
Technology hub in California, United States
Quora Rambus Roblox Corporation Roku, Inc. RSA Security (acquired by EMC) SanDisk (acquired by Western Digital) Signetics SolarCity (acquired by Tesla, Inc
Silicon_Valley
Third planet from the Sun
which begins to spin and flatten into a circumstellar disk, and then the planets grow out of that disk with the Sun. A nebula contains gas, ice grains, and
Earth
American serial killer (born 1945)
letters to police, Rader asked whether his writings, if put on a floppy disk, could be traced. Police answered his question in a classified ad posted
Dennis_Rader
1989 single by Billy Joel
Didn't Start the Fire" lists historical events in stream of consciousness. Problems playing this file? See media help. "We Didn't Start the Fire" is a song
We_Didn't_Start_the_Fire
Simply connected Riemann surface is equivalent to an open disk, complex plane, or sphere
is conformally equivalent to one of three Riemann surfaces: the open unit disk, the complex plane, or the Riemann sphere. The theorem is a generalization
Uniformization_theorem
Analog videocassette recording format
home recording purposes, VHS and VCRs were surpassed by (typically hard disk–based) digital video recorders (DVR) in the 2000s. Production of all VHS
VHS
Non-orientable surface with one edge
circular disk in the plane that it rotates within, and the Möbius strip that it generates forms a slice through the solid torus swept out by this disk. Because
Möbius_strip
Archaic conception of Earth's shape
and scientifically disproven conception of the Earth's shape as a plane or disk. Many ancient societies subscribed to a flat-Earth cosmography. The model
Flat_Earth
American TV series
Retrieved May 27, 2023. Disk 8 of collection sold by "Classics4Lymphoma" Disk 8 & 9 of collection sold by "Classics4Lymphoma" Disk 11 of collection sold
Whirlybirds
Decade of the Gregorian calendar (2000–2009)
infringement and preserve profit. The USB flash drive replaces the floppy disk as the preferred form of low-capacity mobile data storage. In February 2003
2000s
Largest type of black hole
black hole can reach, while being luminous accretors (featuring an accretion disk), is typically on the order of about 50 billion M☉. However, a 2020 study
Supermassive_black_hole
Atmospheric electrical phenomenon
sparks, with shapes that vary between spheres, ovals, tear-drops, rods, or disks. Although they are separate and distinct phenomena, ball lightning is often
Ball_lightning
Two-dimensional packing problem
Unsolved problem in mathematics What is the smallest possible equilateral triangle which an amount n of unit circles can be packed into? More unsolved
Circle packing in an equilateral triangle
Circle_packing_in_an_equilateral_triangle
Season of television series
had to replicate John Demetrios's chocolate meteor. A chocolate shell covering a white chocolate shell, a base of chocolate biscuit, then caramel and
MasterChef Australia series 17
MasterChef_Australia_series_17
Polyester film
as the substrate in practically all magnetic recording tapes and floppy disks. Metallized boPET film, along with other plastic films, is used as a dielectric
Mylar
Branch of mathematics
topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible. Algebraic topology, for
Algebraic_topology
Group whose operation is a composition of braids
punctured disk with n punctures. This is most easily visualized by imagining each puncture as being connected by a string to the boundary of the disk; each
Braid_group
Scenario of giant planet migration
planets then scatter Uranus and Neptune outward into the planetesimal disk. The disk is disrupted, scattering many of the planetesimals onto planet-crossing
Jumping-Jupiter_scenario
British consumer electronics company
and 2068; that company also developed and launched the FDD3000, a floppy disk system, although it was not well received by the market.[citation needed]
Sinclair_Research
Branch of mathematics
called a metric. In a metric space, an open set is a union of open disks, where an open disk of radius r centered at x is the set of all points whose distance
Topology
Optical system with resolution performance at the instrument's theoretical limit
feature in an image that is diffraction limited is the size of the Airy disk. As one decreases the size of the aperture of a telescopic lens, diffraction
Diffraction-limited_system
2007 operating system version
changes and enhancements compared to its predecessor, Mac OS X Tiger, covering core operating system components as well as included applications and developer
Mac_OS_X_Leopard
(based on the Norse mythological location of the same name) is an Alderson disk surrounding a dying star, inhabited by gigantic Dwarves who served as blacksmiths
Features of the Marvel Cinematic Universe
Features_of_the_Marvel_Cinematic_Universe
Small number of stars that orbit each other
confirmed to share proper motion through space. The primary has a massive dust disk similar to that of the early Solar System, but much more massive. It also
Star_system
Tiling of the hyperbolic plane
disk model and Poincaré half-plane model. In these, the points of the hyperbolic plane are modeled by points in the Euclidean plane, in an open disk or
Binary_tiling
months and released unfinished with little promotion. The physical game disk contained only the tutorial and park creator; players needed to download
List of video games notable for negative reception
List_of_video_games_notable_for_negative_reception
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
Boy/Male
Biblical
Covering, roof, dissolving.
Surname or Lastname
English and Scottish
English and Scottish : unexplained. The name has been recorded in Glastonbury, Somerset, since 1705.Perhaps a variant of Czech LiÅ¡ka, (see Liska), Slovak LÃÅ¡ka, or German Liske.
Boy/Male
Biblical
Judgment, covering, habit.
Surname or Lastname
English
English : from an unattested Old English personal name Lēofhering, Lēofring ‘son of Lēofhere’, a personal name composed of the elements lēof ‘dear’, ‘beloved’ + here ‘army’.
Surname or Lastname
English (Devon)
English (Devon) : unexplained. This is a frequent name in OH.
Male
German
 Short form of German Diederick, DIRK means "first of the people; king of nations."
Biblical
shadow; covering; defense
Male
Egyptian
, the most lovely Disk.
Boy/Male
Biblical
Roof, covering.
Biblical
roof; covering
Biblical
measure; habit; covering
Boy/Male
Australian, Egyptian
Sun Disk
Biblical
judgment; covering; habit
Male
English
 Short form of English Richard, DICK means "powerful ruler." Compare with another form of Dick.
Boy/Male
Hindu, Indian, Marathi
Covering Enclosing
Boy/Male
Indian, Sanskrit
Covering the Earth
Male
Egyptian
, disk.
Surname or Lastname
English
English : habitational name from Diss in Suffolk, which gets its name from a Norman pronunciation of Middle English diche, Old English dīc ‘ditch’, ‘dike’ (see Dyke).German : habitational name from Dissen near the Teutoburg forest.
Girl/Female
Australian, Biblical, French, Greek, Iranian, Latin
Measure; Habit; Covering
Girl/Female
Biblical
Shadow, covering, defense.
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
Girl/Female
Christian & English(British/American/Australian)
Feminine of Robert
Boy/Male
Gaelic Irish American Norse
A place-name referring to the narrows; a wood or a church.
Boy/Male
Indian, Sanskrit
Fullness
Surname or Lastname
English
English : habitational name from either of two places called Hazleton in Gloucestershire, or from Hazelton Bottom in Hertfordshire, Hazelton Wood in Essex, or Hesselton in North Yorkshire. All are named from Old English hæsel ‘hazel’ + denu ‘valley’. (The first element of Hesselton may be influenced by Old Norse hesli.) It is possible that there are other minor places elsewhere of this name, in which the second element is Old English tūn ‘enclosure’, ‘settlement’. There has been considerable confusion of this name with Haselden.
Girl/Female
Tamil
Manveeta | மாஂநà¯à®µà®¿à®¤à®¾
Most respectable
Boy/Male
Australian, Finnish
Appointed by God
Boy/Male
Gujarati, Hindu, Indian
Victorious
Biblical
posterity; a fish; eternal
Boy/Male
American, Australian, British, Christian, English, German, Teutonic
Good Friend; Friend of God
Girl/Female
Arabic Persian
Lady.
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
DISK COVERING-PROBLEM
v. t.
To make concave, or depress in the middle, like a dish; as, to dish a wheel by inclining the spokes.
n.
A circular structure either in plants or animals; as, a blood disc, a germinal disc, etc. Same as Disk.
n.
The act of covering with copper.
n.
The food served in a dish; hence, any particular kind of food; as, a cold dish; a warm dish; a delicious dish. "A dish fit for the gods."
v. t.
To make dusk.
v. t.
To stab with a dirk.
n.
The state of being concave, or like a dish, or the degree of such concavity; as, the dish of a wheel.
n.
To expose to risk, hazard, or peril; to venture; as, to risk goods on board of a ship; to risk one's person in battle; to risk one's fame by a publication.
a.
Tending to one point; approaching each other; convergent; as, converging lines.
v. t.
To put in a dish, ready for the table.
n.
A flat, circular plate; as, a disk of metal or paper.
v. t.
To shut up, as in a desk; to treasure.
n.
An envelope or covering of copper.
n.
The lower side of the body of some invertebrates, especially when used for locomotion, when it is often called a creeping disk.
a.
Holding the superiority; prevalent; controlling; as, a governing wind; a governing party in a state.
v. i.
To grow dusk.
n.
A circular structure either in plants or animals; as, a blood disk; germinal disk, etc.
n.
To incur the risk or danger of; as, to risk a battle.
a.
Dark and threatening; gloomy; sullen; as, lowering clouds or sky.
a.
Very high; elevated; rising aloft; as, a towering height.