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Mean distance between Earth and the Sun
average Earth-Sun distance (the average of Earth's aphelion and perihelion), before its modern redefinition in 2012. The astronomical unit is used primarily
Astronomical_unit
Distance from center of Earth to center of Moon
characteristic distance, is a unit of measure in astronomy. More technically, it is the semi-major axis of the geocentric lunar orbit. The average lunar distance is
Lunar_distance
Topics referred to by the same term
Unit distance may refer to: Astronomical unit: the distance to the Sun Unit distance graph: a graph whose lines connect points that must be a distance
Unit_distance
Geometric graph with unit edge lengths
theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting two points whenever the distance between
Unit_distance_graph
Reference value of length
≈ 6,371 km Lunar distance LD ≈ 384402 km. Average distance between the center of Earth and the center of the Moon. astronomical unit au. Defined as 149597870700 m
Unit_of_length
Mathematical problem
many colors are needed to color the plane so that no two points at unit distance are the same color? More unsolved problems in mathematics In geometric
Hadwiger–Nelson_problem
Separation between two points
Distance is a numerical or occasionally qualitative measurement of how far apart objects, points, people, or ideas are. In physics or everyday usage, distance
Distance
Unit of length in astronomy
The parsec (symbol: pc) is a unit of length used to measure the large distances to astronomical objects outside the Solar System, approximately equal to
Parsec
Vector distance function
The following figure shows unit circles (the level set of the distance function where all points are at the unit distance from the center) with various
Minkowski_distance
Traditional Chinese unit of distance
Li or ri (Chinese: 里, lǐ, or 市里, shìlǐ) is a traditional Chinese unit of distance. The li has varied considerably over time but was usually about one third
Li_(unit)
Spatial frequency of a wave
radians per unit distance is more often used: k = 2 π λ = 2 π ν ~ {\displaystyle k\;=\;{\frac {2\pi }{\lambda }}=2\pi {\tilde {\nu }}} . The SI unit of spectroscopic
Wavenumber
SI unit of length
the metre, as shown in the table below. Long distances are usually expressed in km, astronomical units (149,597,871 km), light-years (63,000 au; 9.5 trillion km)
Metre
Customary unit of length
reform the units of measure in his domains. His units of length were based on the toise and in particular the toise de l'Écritoire, the distance between
Foot_(unit)
Ordering of binary values, used for positioning and error correction
are also known as unit-distance, single-distance, single-step, monostrophic or syncopic codes, in reference to the Hamming distance of 1 between adjacent
Gray_code
Length of a line segment
that preserves unit distances must be an isometry, preserving all distances. In many applications, and in particular when comparing distances, it may be more
Euclidean_distance
Obsolete unit of distance in astronomy
The spat (symbol S) is an obsolete unit of distance used in astronomy. It is equal to 1,000,000,000 kilometres (620,000,000 mi; 6.7 au), or 1 terametre
Spat_(distance_unit)
Units that are not part of a coherent system
(v) is a unit of vertical distance often—but not always—corresponding to the height of an ordinary line of text. Horizontal pitch (HP) is a unit of length
List of non-coherent units of measurement
List_of_non-coherent_units_of_measurement
Distance between probability distributions
between the cost of creating or destroying one unit of "dirt", and the cost of transporting it by a unit distance. This is equivalent to minimizing the sum
Earth_mover's_distance
Distance that light travels in one year
alternatively spelled light year (ly or lyr), is a unit of length used to express astronomical distances and is equal to exactly 9460730472580.8 km, which
Light-year
Type of metric geometry
Cartesian coordinates, a distance function (or metric) called the taxicab distance, Manhattan distance, or city block distance. The name refers to the
Taxicab_geometry
Mathematical measure of how much a curve or surface deviates from flatness
tangent vector, of the curve per unit distance along the curve. Curvature is expressed in units of radians per unit distance. For a circle, that rate of change
Curvature
Unit of length
an official unit in any nation. Derived from an ancient Celtic unit and adopted by the Romans as the leuga, the league became a common unit of measurement
League_(unit)
Undirected unit-distance graph requiring four colors
William, with seven vertices and eleven edges. It can be drawn as a unit distance graph, and it requires four colors in any graph coloring. Its existence
Moser_spindle
System of measurement developed for use in astronomy
The term "unit distance" is also used for the length A while, in general usage, it is usually referred to simply as the "astronomical unit", symbol au
Astronomical_system_of_units
Unit-distance-preserving maps are isometries
Euclidean space preserves unit distances, then it preserves all Euclidean distances. Equivalently, every homomorphism from the unit distance graph of the plane
Beckman–Quarles_theorem
Statistical distance measure
re-scaled to have unit variance, and whitened to be uncorrelated, then the Mahalanobis distance corresponds to standard Euclidean distance in the transformed
Mahalanobis_distance
Measurement system based on metre, kilogram, and second
second (MKS) as base units. Distances are described in terms of metres, mass in terms of kilograms and time in seconds. Derived units are defined using the
MKS_units
Unit of length equal to 1,000 metres
being the SI prefix for 1000). It is the preferred measurement unit to express distances between geographical places on land in most of the world; notable
Kilometre
SI unit of energy
MKS unit of force [newton] moves a distance of 1 metre in the direction of the force." In terms of SI base units and in terms of SI derived units with
Joule
Graph with edges of length one, able to be drawn without crossings
non-crossing embeddings with non-unit vertex distances and unit-distance embeddings with crossings; these are planar unit-distance graphs but are not matchstick
Matchstick_graph
Discussing what form of transport is the most fuel efficient and economical
it helps to use the International System of Units including joules for energy and metres for distance. The more efficient the vehicle, the more metres
Energy efficiency in transport
Energy_efficiency_in_transport
Undirected unit-distance graph requiring four colors
Solomon W. Golomb, who constructed it (with a non-planar embedding) as a unit distance graph that requires four colors in any graph coloring. Thus, like the
Golomb_graph
Graph with nodes connected in a closed chain
it has no odd cycles (Kőnig, 1936). Connected Eulerian Hamiltonian A unit distance graph In addition: As cycle graphs can be drawn as regular polygons
Cycle_graph
Observation that in many real-life datasets, the leading digit is likely to be small
with unit distance along the logarithmic scale. Likewise, the law is not followed by distributions that are narrow compared with unit distance … If the
Benford's_law
Unit of length
The light-second is a unit of length useful in astronomy, telecommunications and relativistic physics. It is defined as the distance that light travels in
Light-second
Graphs formed by a hypercube's edges and vertices
4,6,\dots 2^{n}} and is thus a bipancyclic graph. can be drawn as a unit distance graph in the Euclidean plane by using the construction of the hypercube
Hypercube_graph
On coloring infinite graphs
whose Euclidean distance is exactly one. The induced subgraphs of this graph are called unit distance graphs. A seven-vertex unit distance graph, the Moser
De Bruijn–Erdős theorem (graph theory)
De_Bruijn–Erdős_theorem_(graph_theory)
Graph of triangles with a shared vertex
friendship graph Fn is isomorphic to the windmill graph Wd(3, n). It is unit distance with girth 3, diameter 2 and radius 1. The graph F2 is isomorphic to
Friendship_graph
Family of graphs with 2n nodes and n(n-1) edges
have unit length. However, this embedding may also place some non-adjacent vertices a unit distance apart. An embedding in which edges are at unit distance
Crown_graph
epicentral distance exceeded a certain range from the observation points. In seismology, the unit of far earthquakes is usually ° (degree), while the unit of
Epicentral_distance
Japanese biological and chemical warfare unit (1936–1945)
the ground at increasing distances around a bomb that was then detonated. It was surgery for most, autopsies for the rest. — Unit 731, Nightmare in Manchuria
Unit_731
Distance function defined between probability distributions
In mathematics, the Wasserstein distance or Kantorovich–Rubinstein metric is a distance function defined between probability distributions on a given
Wasserstein_metric
conjecture. In Unit square: Rational dense problem: Is there a point in the plane at a rational distance from all four corners of a unit square? Vojta's
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
System of measurements
system of units, imperial system or imperial units (also known as British Imperial or Exchequer Standards of 1826) is the system of units first defined
Imperial_units
Australian rock band
quickly wrote and recorded an album entitled Pharmakoi/Distance-Crunching Honchos with Echo Units as the Refo:mation. The members eventually regrouped,
The_Church_(band)
Intersection graph of unit disks in the plane
between two vertices whenever the corresponding vertices lie within a unit distance of each other. They are commonly formed from a Poisson point process
Unit_disk_graph
Operation in graph theory
H)\geq \gamma (G)\gamma (H).} The Cartesian product of unit distance graphs is another unit distance graph. Cartesian product graphs can be recognized efficiently
Cartesian_product_of_graphs
Topics referred to by the same term
personal space and proxemics An obsolete unit of measure; see List of unusual units of measurement Distance (band), a late-1980s rock supergroup featuring
Distance_(disambiguation)
Unit of length
chain (abbreviated ch) is a unit of length equal to 66 feet (22 yards), used in both the US customary and Imperial unit systems. It is subdivided into
Chain_(unit)
proven correct after verification in Lean. Erdős problem 90, the planar unit distance problem, was solved by an internal OpenAI model in May 2026. List of
List of conjectures by Paul Erdős
List_of_conjectures_by_Paul_Erdős
Circle with radius of one
called the closed unit disk. One may also use other notions of "distance" to define other "unit circles", such as the Riemannian circle; see the article on
Unit_circle
Topics referred to by the same term
interval of distance 1 Unit matrix, a diagonal matrix such that all elements on the main diagonal are 1 and all the others are zero Unit round-off, an
Unit
Problem in discrete geometry
metrized by the Hausdorff distance between the norm-unit balls. Falconer's conjecture Erdős unit distance problem The Erdős Distance Problem Erdős, Paul (1946)
Erdős distinct distances problem
Erdős_distinct_distances_problem
Modern form of the metric system
physical quantity, a set of units that are decimal multiples of each other over a wide range. For example, driving distances are normally given in kilometres
International_System_of_Units
Undirected graph with 14 vertices
The Heawood graph is a unit distance graph: it can be embedded in the plane such that adjacent vertices are exactly at distance one apart, with no two
Heawood_graph
Sphere with radius one, usually centered on the origin of the space
In mathematics, a unit sphere is a sphere of unit radius: the set of points at Euclidean distance 1 from some center point in three-dimensional space
Unit_sphere
Computer science metric of string similarity
Levenshtein distance and LCS distance with unit cost satisfy the above conditions, and therefore the metric axioms. Variants of edit distance that are not
Edit_distance
Optical property of chiral chemical compounds
the change in orientation of monochromatic plane-polarized light, per unit distance–concentration product, as the light passes through a sample of a compound
Specific_rotation
Marḥala (Arabic: مرحلة) was an ancient Arab unit of distance traditionally defined as the length of a day’s journey on foot or by camel under ordinary
Marhala_(unit)
measurement; it has a value and units. The International System of Quantities, which underlies the International System of Units, defines seven base quantities;
List_of_physical_quantities
Number of arbitrary unit used in network routing decisions
Administrative distance (AD) or route preference is a number of arbitrary unit assigned to dynamic routes, static routes and directly connected routes
Administrative_distance
Cosmological formulas for expanding universe
Distance measures are used in physical cosmology to generalize the concept of distance between two objects or events in an expanding universe. They may
Distance_measure
System of measurement
atomic units based on Hartree's model but again chose to use ℏ {\displaystyle \hbar } as the defining unit. They explicitly named the distance unit a "Bohr
Atomic_units
Cubic graph with 10 vertices and 15 edges
in such a way that all the edges have equal length. That is, it is a unit distance graph. The simplest non-orientable surface on which the Petersen graph
Petersen_graph
Cartesian product of complete graphs
graphs preserve the property of being a unit distance graph, the Hamming graphs H(d,2) and H(d,3) are all unit distance graphs. The Hamming graphs are interesting
Hamming_graph
Measure for the energy lost by ions per traversed distance
energy that an ionizing particle transfers to the material traversed per unit distance. It describes the action of radiation into matter. It is identical to
Linear_energy_transfer
Magnitude of velocity
position per unit of time, it is thus a non-negative scalar quantity. The average speed of an object in an interval of time is the distance travelled by
Speed
Similarity measure for number sequences
{(A_{1}-A_{2})}{2}},{\frac {(-A_{1}+A_{2})}{2}}\right]^{T}.} When the distance between two unit-length vectors is defined to be the length of their vector difference
Cosine_similarity
Topological space formed from distances
every pair of points that are at unit distance or less in the given metric space. As such, its 1-skeleton is the unit disk graph of its points. It contains
Vietoris–Rips_complex
Unit of length
used informally for a distance expressed in miles. With qualifiers, mile is also used to describe or translate a wide range of units derived from or roughly
Mile
Ancient Indian unit of distance
a unit of measurement which is derived from a Sanskrit term, क्रोश krośa, which means a 'call', as the unit was supposed to represent the distance at
Kos_(unit)
Unit of length 1/1000 of a metre
(American spelling) is a unit of length in the International System of Units (SI), equal to one thousandth of a metre, the SI base unit of length. 1 metre =
Millimetre
Measure of distance in physical space
of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for
Length
Principle of geographic thought
significantly longer distance, with much higher speed limits and infrequent stops. Thus, this alternative has a much lower unit friction of distance (in this case
Friction_of_distance
Study of graphs defined by geometric means
conditions on the distances; in particular, a unit distance graph is formed by connecting pairs of points that are a unit distance apart in the plane
Geometric_graph_theory
Comparison of a wide range of lengths
notation) 1.21 × 106 km. Interplanetary distances are also commonly measured in astronomical units. Distances on the interstellar or larger scale are
Orders_of_magnitude_(length)
Decimal-based systems of measurement
standardises a set of base units and a nomenclature for describing relatively large and small quantities using decimal-based multiplicative unit prefixes. Though
Metric_system
Interference pattern
number of intensity cycles per unit distance. Since the sine function is cyclic over argument changes of 2π, the distance increment Δx per intensity cycle
Moiré_pattern
Scale sometimes inscribed around the rim of an analog watch
is independent of the unit of distance (e.g. statute miles, nautical miles, kilometres, metres, etc.) as long as the same unit of length is used for all
Tachymeter_(watch)
Solid with six equal square faces
which visits every vertex exactly once, and it is also an example of a unit distance graph. The cubical graph is bipartite, meaning every independent set
Cube
Unit for measuring genetic linkage
centimorgan (abbreviated cM) or map unit (m.u.) is a unit for measuring genetic linkage. It is defined as the distance between chromosome positions (also
Centimorgan
Planar graph with 5 nodes and 6 edges
index 4 and is both Eulerian and a penny graph (this implies that it is unit distance and planar). It is also a 1-vertex-connected graph and a 2-edge-connected
Butterfly_graph
Integer associated with a graph
Erdős, Frank Harary and William Tutte. It generalises the concept of unit distance graph to more than 2 dimensions. In the worst case, every pair of vertices
Dimension_(graph_theory)
Set of points at distance less than one from a given point
mathematics, the open unit disk (or disc) around P (where P is a given point in the plane), is the set of points whose distance from P is less than 1:
Unit_disk
Spatial analysis techniques for minimizing cost
per linear unit) that varies over space due to local factors. It is thus based on the fundamental geographic principle of Friction of distance. It is an
Cost_distance_analysis
Measurement scale based on orders of magnitude
Unlike a linear scale where each unit of distance corresponds to the same increment, on a logarithmic scale each unit of length is a multiple of some base
Logarithmic_scale
Force due to magnetic field
\right),} where the gradient ∇ is the change of the quantity m · B per unit distance, and the direction is that of maximum increase of m · B. To understand
Force_between_magnets
Graph with a triangular truncated trapezohedron as its skeleton
a unit distance graph. However, although the Dürer graph is planar, its unit-distance embedding has crossings. Thus, it is a planar unit-distance graph
Dürer_graph
Problem of minimizing sum of transport costs
different costs per unit distance. The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for
Weber_problem
Cycle graph plus universal vertex
and (when n ≥ 6) is not perfect. W7 is the only wheel graph that is a unit distance graph in the Euclidean plane. The chromatic polynomial of the wheel
Wheel_graph
Statistical measure
distance variance, rather than the distance standard deviation, is measured in the same units as the X {\displaystyle \operatorname {X} } distances.
Distance_correlation
Techniques to study geometric data
different costs per unit distance. The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for
Spatial_analysis
Units for measuring angles
across sky (15.041″/s) an object of diameter 725.27 km at a distance of one astronomical unit (149597870.7 km) an object of diameter 45866916 km at one
Minute_and_second_of_arc
Periodic spatial graph
Euclidean distance from each other is the square root of two, 2 {\displaystyle {\sqrt {2}}} , as the points of each pair differ by one unit in two coordinates
Laves_graph
Overview of the effects of cars on various societies
transport, a shrinking railway network, urban decay, and the high cost per unit-distance of private transport. Since many people do not have cars, the resulting
Societal_effects_of_cars
Class of units of measurement
hebdometre is a unit of distance equal to ten megametres (10 Mm). The spat (S) is a unit of distance equal to one terametre (1 Tm). The shed is a unit of area
List_of_metric_units
24-vertex symmetric bipartite cubic graph
plane in such a way that adjacent vertices are at unit distance apart; that is, it is a unit distance graph. It and the prisms are the only generalized
Nauru_graph
Measure of similarity between curves
In mathematics, the Fréchet distance is a measure of similarity between curves that takes into account the location and ordering of the points along the
Fréchet_distance
Area of discrete mathematics
for the minimum number of coloring plane such that no two points at a unit distance from each other have the same color, and shortest path problem on finding
Graph_theory
Distance that can be travelled in a certain amount of time
distance measure denotes the distance that can be travelled by walking in a fixed amount of time. In Japan, the standard measure for walking distance
Walking_distance_measure
UNIT DISTANCE
UNIT DISTANCE
Boy/Male
Bengali, English, Hindu, Indian
Dark Blue
Boy/Male
Indian
Who Won Every Time
Girl/Female
Irish English
Together.
Boy/Male
Celebrity, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Tamil, Telugu
Grown; Awakened; Shining
Female
Hebrew
(×וּרִית) Hebrew name URIT means "fire, light."
Boy/Male
Hindu
Pure or holy
Boy/Male
Hindu
Knower of virtues, Talented, Excellent, Virtuous
Boy/Male
Hindu
Joyful unending, Calmness
Male
English
Variant spelling of English Unni, UNI means "afflicted, depressed."
Girl/Female
Hebrew
Light.
Girl/Female
American, British, English, Irish
Fair
Boy/Male
Muslim/Islamic
Unit of army
Girl/Female
Hebrew
Graceful.
Female
Welsh
Variant spelling of Welsh Enid, ENIT means "soul."
Female
Egyptian
, Anahita ("pure, spotless").
Boy/Male
Indian
Progress
Female
English
English name derived from the vocabulary word, UNITY means "oneness, unity."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Telugu
Holy; Untouched; Good; Pure
Boy/Male
Indian
Unit of army
Boy/Male
Muslim
Unit of army
UNIT DISTANCE
UNIT DISTANCE
Girl/Female
Muslim
A person who gives the honor, Respect
Female
Polish
Pet form of Czech/Polish Irena, IRENKA means "peace."
Boy/Male
Hindu
Lord Shiva
Girl/Female
American, Australian, Latin
From England; From Brittany or Great Britain
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Hair Like a Star
Girl/Female
Tamil
Male
English
Variant spelling of English Adalia, ADALIAH means "I shall be drawn up of God."Â
Boy/Male
Indian, Punjabi, Sikh
Dancer
Girl/Female
Australian, Czech, Czechoslovakian, Teutonic
Free
Girl/Female
Hindu, Indian, Traditional
Young Girl
UNIT DISTANCE
UNIT DISTANCE
UNIT DISTANCE
UNIT DISTANCE
UNIT DISTANCE
v. t.
United; joint; as, unite consent.
v. t.
To remove the turns of (a rope or cable) from the bits; as, to unbit a cable.
v. t.
To unite.
n.
Any definite quantity, or aggregate of quantities or magnitudes taken as one, or for which 1 is made to stand in calculation; thus, in a table of natural sines, the radius of the circle is regarded as unity.
n.
The number greater by a unit than seven; eight units or objects.
v. t.
To unite closely; to connect; to engage; as, hearts knit together in love.
n.
The number greater by a unit than seventeen; eighteen units or objects.
v. t.
To unite closely; to knit together.
v. t.
To form, as a textile fabric, by the interlacing of yarn or thread in a series of connected loops, by means of needles, either by hand or by machinery; as, to knit stockings.
v. i.
To be united closely; to grow together; as, broken bones will in time knit and become sound.
n.
Concord; harmony; conjunction; agreement; uniformity; as, a unity of proofs; unity of doctrine.
n.
Any one of numerous species of fresh-water mussels belonging to Unio and many allied genera.
n.
The number greater than eight by a unit; nine units or objects.
v. t.
To knit together; to unite closely; to intertwine.
n.
A single thing, as a magnitude or number, regarded as an undivided whole.
n.
The number greater by a unit than two; three units or objects.
v. t.
To put together so as to make one; to join, as two or more constituents, to form a whole; to combine; to connect; to join; to cause to adhere; as, to unite bricks by mortar; to unite iron bars by welding; to unite two armies.
a.
Of or pertaining to a unit or units; relating to unity; as, the unitary method in arithmetic.
imp. & p. p.
of Knit
v. t.
To knit or bind together; to unite closely.