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Concept in network topology
Average path length, or average shortest path length is a concept in network topology that is defined as the average number of steps along the shortest
Average_path_length
Method of generating random small-world graphs
that produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven
Watts–Strogatz_model
Topics referred to by the same term
Optical path length, the product of the distance light travels and the refractive index of the medium it travels through Mean free path, the average distance
Path_length
Academic field
The average shortest path length is calculated by finding the shortest path between all pairs of nodes, and taking the average over all paths of the
Network_science
Experiments examining the average path length for social networks
conducted by Stanley Milgram and other researchers examining the average path length for social networks of people in the United States. The research
Small-world_experiment
Product of geometric length and refractive index
In optics, optical path length (OPL, denoted Λ in equations), also known as optical length or optical distance, is the vacuum length that light travels
Optical_path_length
Concept of social inter-connectedness
30 billion conversations among 240 million people. They found the average path length among Microsoft Messenger users to be 6. It has been suggested by
Six_degrees_of_separation
Graph where most nodes are reachable in a small number of steps
namely the clustering coefficient, and average node-to-node distance (also known as average shortest path length). Purely random graphs, built according
Small-world_network
Number of machine code instructions required to execute a section of a computer program
instruction path length is the number of machine code instructions required to execute a section of a computer program. The total path length for the entire
Instruction_path_length
Degrees of separation from Paul Erdős
inter-connectedness Small-world experiment – Experiments examining the average path length for social networks Small-world network – Graph where most nodes
Erdős_number
Improvised footpath created by frequent trampling
number of desire paths increased. Webster Woods, a large protected area near Boston, experienced an increase in desire path length by 36% following COVID-19
Desire_path
Algorithm for anomaly detection
for the data set and marks as anomalies the points that have short average path lengths on the iTrees. In a later paper, published in 2012 the same authors
Isolation_forest
Average distance travelled by a particle between impacts with other particles
In physics, mean free path is the average distance over which a moving particle (such as an atom, a molecule, or a photon) travels before substantially
Mean_free_path
Optical technique for monitoring brain activity
near 100 MHz. FD-fNIRS measures attenuation, phase shift and the average path length of light through the tissue. Changes in the back-scattered signal's
Functional near-infrared spectroscopy
Functional_near-infrared_spectroscopy
Node with a number of links that greatly exceeds the average
between a large random network and a scale-free network is remarkable. Average path length in scale-free networks: ℓ ∼ ln N ln ln N . {\displaystyle \ell
Hub_(network_science)
majority of these tend to be short-lived and weak, with a 1950–1990 average path length of 1.64 mi (2.64 km). The two strongest known tornadoes were rated
Tornadoes_in_New_Hampshire
225 226 Average degree: 61 Average path length: 3.65 Average clustering coefficient: 0.79 Compared to a random graph of the same size and average degree
Co-stardom_network
Algorithm for finding shortest paths
since initially no path is known to these nodes. During execution, the distance of a node N is the length of the shortest path discovered so far between
Dijkstra's_algorithm
Measure of connection disorder in a network
negative correlation between the topological entropy and the shortest average path length. Other than that, the Kolmogorov entropy is related to the Ricci
Network_entropy
Branch of analytics
psychologist Stanley Milgram and other researchers examined the average path length for social networks of people in the United States, suggesting that
Learning_analytics
need for a lot of steps to get from one port to another, as the average path length is 2.5, with maximum of 8 and 52% of the pairs can be connected by
Global_shipping_network
Family of random graph models
of complex networks are heterogeneous degree distribution, short average path length and high clustering. Having the opportunity to define any arbitrary
Configuration_model
Period of a day in which a location experiences natural illumination
about half of the Earth is facing the Sun and experiencing daytime. The length of daytime varies with latitude and changes over the course of the year
Daytime
September 11 attacks the connectivity of the network reduced and average path length increased. These results were found to be useful in order to understand
Economics_of_networks
observed reciprocity of the network is about 0.074, and the [Average path length|average path length] is about 4.46. Could these values be arrived at simply
Degree-preserving randomization
Degree-preserving_randomization
Reference value of length
International System of Units (SI) is the metre, defined as "the length of the path travelled by light in vacuum during a time interval of 1⁄299792458
Unit_of_length
2024 British biographical drama film
The Salt Path is a 2024 British biographical drama film directed by Marianne Elliott and written by Rebecca Lenkiewicz, based on the 2018 memoir by Raynor
The_Salt_Path_(film)
network measures going beyond the degree distribution such as the average path length, spectral properties, and clustering coefficient, cannot be obtained
Simon_model
Shortest path with bounded turning radius
curvature paths". Communications in Analysis and Geometry. 26 (4): 679–697. arXiv:1403.4899. doi:10.4310/CAG.2018.v26.n4.a1. Ayala, José (2015). "Length minimising
Dubins_path
School in Cambridge, Massachusetts, US
examine the average path lengths for social networks and notably found that human society is a small-world network with short path-lengths. Mahzarin Banaji
Department of Psychology (Harvard University)
Department_of_Psychology_(Harvard_University)
Network of coupled dynamical systems
regular lattice networks. The resulting networks have much smaller average path length than the original networks. Scale-free networks: Found ubiquitously
Synchronization_network
Magnitude of velocity
When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference
Speed
measure comparable to 1 / L {\displaystyle 1/L} , rather than just the average path length L {\displaystyle L} itself. The key distinction is that, while 1
Efficiency_(network_science)
Comparison of a wide range of lengths
protist 500 μm – length of a tardigrade 500 μm – MEMS micro-engine 500 μm – average length of a grain of sand 500 μm – average length of a grain of salt
Orders_of_magnitude_(length)
the basic results were similar to Milgram's. The estimated true average path length (that is, the number of edges the email message has to pass from
Network theory in risk assessment
Network_theory_in_risk_assessment
Graph formed by subdivision of triangles
Fang, Lujun; Guan, Jihong; Zou, Tao (2008), "Analytical solution of average path length for Apollonian networks", Physical Review E, 77 (1) 017102, arXiv:0706
Apollonian_network
results about the degree distribution, clustering coefficient, average shortest path length, random walk centrality and other relevant network metrics. Deterministic
Deterministic scale-free network
Deterministic_scale-free_network
Search algorithm finding the position of a target value within a sorted array
searched, the average case is 1 + I n {\displaystyle 1+{\frac {I}{n}}} or simply one plus the average of all the internal path lengths of the tree. This
Binary_search
produces a locally clustered network and dramatically reduces the average path length, creating networks which represent the small world phenomenon observed
Evolving_network
ball team experiences problems in moving the ball. Average path length - Number of passes per play. Path flow rate - Number of passes per unit time. It measures
Network Science Based Basketball Analytics
Network_Science_Based_Basketball_Analytics
Spanning tree minimizing sum of distances
distance spanning tree, shortest total path length spanning tree, minimum total distance spanning tree, or minimum average distance spanning tree. In an unweighted
Minimum routing cost spanning tree
Minimum_routing_cost_spanning_tree
Investigational radiopharmaceutical compound
linked to the metal chelating agent DOTA which binds 177Lu3+. The average path length of 177Lu particles in soft tissue is 670 μm, making this radionuclide
177_Lu-NNS309
10 times faster. A reason for this is due to TIS using paths of adjustable length and on average shorter than TPS. Also, TPS relies on the correlation
Transition_path_sampling
Technique to compress data
= ∑ i = 1 n w i length ( c i ) {\textstyle L(C(W))=\sum _{i=1}^{n}w_{i}\operatorname {length} (c_{i})} be the weighted path length of code C {\displaystyle
Huffman_coding
Formulation of quantum mechanics
The path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces
Path_integral_formulation
Computer graphics method
pixel (each repetition, with generated path and transmitted light, is called a sample), and the results are averaged. One main difference between this algorithm
Path_tracing
Ratio of arc length and straight-line distance between two points on a wave-like function
dimensionless quantity can also be rephrased as the "actual path length" divided by the "shortest path length" of a curve. The value ranges from 1 (case of straight
Sinuosity
would give an estimate of the number of decades, which coincides with an average path loss of 40 dB/decade. When we measure cell distance r and received power
Signal strength in telecommunications
Signal_strength_in_telecommunications
Rapid transit system in the northeast US
The Port Authority Trans-Hudson (PATH) is a 13.8-mile (22.2 km) rapid transit system in the northeastern United States. It serves the northeastern New
PATH_(rail_system)
Mean distance between Earth and the Sun
a unit of length defined as 149597870700 m. Historically, the astronomical unit was conceived as the average Earth-Sun distance (the average of Earth's
Astronomical_unit
List of world records related to tornadoes
(tornadoes were not rated at the time) and holds records for longest path length at 219 miles (352 km) and longest duration at about 3+1⁄2 hours. The
Tornado_records
Mountain in Snowdonia, Wales
with the Llanberis Path and Snowdon Ranger Path. Derelict mine buildings are encountered along several parts of the path. Length: 5.3 km (3.3 mi). Elevation
Snowdon
Bike paths in Sydney, New South Wales, Australia, vary widely, with the majority either shared cycle and pedestrian paths or on road paths, and a small
Bike_paths_in_Sydney
Long-distance footpath following the coast of Wales
as the first dedicated coast path in the world to cover the entire length of a country's coastline. The Wales Coast Path runs through eleven national
Wales_Coast_Path
Algorithm in graph theory
will find the lengths (summed weights) of shortest paths between all pairs of vertices. Although it does not return details of the paths themselves, it
Floyd–Warshall_algorithm
Vector relating the initial and the final positions of a moving point
displacement divided by the length of the time interval defines the average velocity (a vector), whose magnitude is the average speed (a scalar quantity)
Displacement_(geometry)
NP-hard problem in combinatorial optimization
randomly distributed on a plane, the algorithm on average yields a path 25% longer than the shortest possible path; however, there exist many specially-arranged
Travelling_salesman_problem
Categorisation of people's intelligence based on IQ
"superior" and "average". With the usual IQ scoring methods, an IQ score of 100 means that the test-taker's performance on the test is of average performance
IQ_classification
Sequence of moves on a lattice
self-avoiding walk is a chain-like path in R2 or R3 with a certain number of nodes, typically a fixed step length and has the property that it doesn't
Self-avoiding_walk
Term in geometry; longest and shortest semidiameters of an ellipse
the special case of a circle, the lengths of the semi-axes are both equal to the radius of the circle. The length of the semi-major axis a of an ellipse
Semi-major and semi-minor axes
Semi-major_and_semi-minor_axes
Dimensionless number relating to mean free path of a particle
defined as the ratio of the molecular mean free path length to a representative physical length scale. This length scale could be, for example, the radius of
Knudsen_number
1925 tornado in Missouri, Illinois and Indiana, U.S.
factor accounts for the exceptional path length and duration, though the fast forward motion of the tornado, which averaged 59 mph (95 km/h), may have translated
1925_Tri-State_tornado
Succession of tornadoes originating from the same storm cell
distances. To determine the average track length of a tornado, both of these factors must be taken into account. The average track length for a typical tornado
Tornado_family
Ethical theory based on maximizing well-being
disagreement as to whether total utility (total utilitarianism) or average utility (average utilitarianism) should be maximized. The seeds of the theory can
Utilitarianism
190-mile footpath across northern England
National Trail in March 2026, at a length of 190 miles (306 km). It has been referred to as the Coast to Coast Path National Trail on the National Trails
Coast_to_Coast_Walk
Source in Switzerland
whether it refers to the river length as measured from Lake Toma. It may be the result of transposing digits. The flow path from the source in Lake Toma
Sources_of_the_Rhine
Inverse sum of distances in a graph
usually refer to its normalized form which represents the average length of the shortest paths instead of their sum. It is generally given by the previous
Closeness_centrality
Type of radio propagation model
space assumption with the Friis free-space path loss model. d {\displaystyle {d}} is the length of the path. d 0 {\displaystyle {d_{0}}} is the reference
Log-distance_path_loss_model
Book by Eliyahu Goldratt
Management. After declaring the constraint to be the schedule's critical path, the book maps out a set of terms. The result is: It proposes a method of
Critical_Chain_(novel)
groups of nodes with similar degree. As assortativity grows, the average path length and clustering coefficient increase. In disassortative networks,
Xulvi-Brunet–Sokolov algorithm
Xulvi-Brunet–Sokolov_algorithm
River in Sweden
the water flow at Yngeredsfors Power Station has been kept; it was on average 37.2 m3/s from 1909 to 1967. The maximum flow was 275 m3/s, while the minimum
Ätran_(river)
Physical law about electrical discharge in gases
the cathode surface becomes important. The mean free path of a molecule in a gas is the average distance between its collision with other molecules. This
Paschen's_law
Measurement of photon propagation
Brownian motion). The transport length might be measured by transmission experiments and backscattering experiments. Mean free path simple scheme Ishimaru, A
Transport_length
Particle behavior in systems of length less than the mean free path
of diffusion that occurs when the scale length of a system is comparable to or smaller than the mean free path of the particles involved. An example of
Knudsen_diffusion
Scientific law describing absorption of light
coefficient c is the concentration of the absorbing substance l is the path length It is named after August Beer and Johann Heinrich Lambert. Forms of the
Beer–Lambert_law
Length of shortest path between two nodes of a graph
u and v is defined as the length of a shortest directed path from u to v consisting of arcs, provided at least one such path exists. Notice that, in contrast
Distance_(graph_theory)
Imaginary line halfway between Earth's North and South poles
and sunsets because the Sun's daily path is nearly perpendicular to the horizon for most of the year. The length of daylight (sunrise to sunset) is almost
Equator
Parameter characterizing an AC conductor
In electrical engineering, electrical length is a dimensionless parameter equal to the physical length of an electrical conductor such as a cable or wire
Electrical_length
System to specify locations on Earth
geocentric coordinate system, the second point is the center of Earth. The path that joins all points of the same latitude traces a circle on the surface
Geographic_coordinate_system
Fluid property
viscosity. In a gas the mean free path may be much larger than the average distance between molecules. In a liquid these two lengths may be very similar. Scattering
Mean_free_time
Concept in radio communication
wave having, in general, travelled a different length (as measured by optical path length – geometric length and refraction (differing optical speed)), and
Multipath_propagation
Measurement method using interference of waves
information about the difference in optical path lengths. In analytical science, interferometers are used to measure lengths and the shape of optical components
Interferometry
Kick downfield to the opposing team in gridiron football
line of scrimmage: a blocked kick, in which the opposing team obstructs the path of the punt shortly after it leaves the punter's foot; and a shank, in which
Punt_(gridiron_football)
Visual aid in aviation
A precision approach path indicator (PAPI) is a system of four lights on the side of an airport runway threshold that provides visual descent guidance
Precision approach path indicator
Precision_approach_path_indicator
Mathematical formula for the number of Young tableaux
In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram. It has
Hook_length_formula
French psychoanalyst and writer (1901–1981)
this issue, and he regretted not persuading his brother to take a different path, but by 1924 his parents had moved to Boulogne and he was living in rooms
Jacques_Lacan
Path-finding using high-weight graph edges
shortest path algorithms to compute widest paths, by modifying them to use the bottleneck distance instead of path length. However, in many cases even faster
Widest_path_problem
Amount of atmosphere that sunlight must pass through
coefficient defines the direct optical path length through the Earth's atmosphere, expressed as a ratio relative to the path length vertically upwards, i.e. at the
Air_mass_(solar_energy)
Unit of length
imperial unit and United States customary unit of length; both are based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. The
Mile
Algorithm for measuring similarity between temporal sequences
between the two sequences (a so called "warping path" is produced), by warping according to this path the two signals may be aligned in time. The signal
Dynamic_time_warping
Primary time standard globally used to regulate clocks and time
from its French name, temps atomique international), which is a weighted average of hundreds of atomic clocks worldwide. UTC is within about one second
Coordinated_Universal_Time
Finger-like projection of the small intestine
lumen of the small intestine. Each villus is approximately 0.5–1.6 mm in length (in humans), and has many microvilli projecting from the enterocytes of
Intestinal_villus
connected by transfer counted as one. System length The system length of a metro network is the sum of the lengths of all routes in the rail network in kilometers
List_of_metro_systems
Network that allows computers to share resources and communicate with each other
achieved throughput or goodput, i.e., the average rate of successful data transfer through a communication path. The throughput is affected by processes
Computer_network
Finds likely sequence of hidden states
r path ← empty array of length T path[T - 1] ← the state s with maximum prob[T - 1][s] for t = T - 2 to 0 inclusive do path[t] ← prev[t + 1][path[t +
Viterbi_algorithm
Fundamental mechanical principles
path: the amplitude averages to a small number. Thus the Planck constant sets the boundary between classical and quantum mechanics. All of the paths contribute
Action_principles
Law of electrical current and voltage
the element of path along the integration of electric field vector E. If the applied E field is uniform and oriented along the length of the conductor
Ohm's_law
Cycling route in California, US
The Tujunga Wash Greenway and Bike Path is a trail and stormwater mitigation project in the Valley Village and Valley Glen neighborhoods of California’s
Tujunga_Wash_Greenway
Loch in Stirling, Scotland
from the original on 9 May 2018. Retrieved 8 May 2018. "Loch Lubnaig Cycle Path". Retrieved 8 June 2014. Media related to Loch Lubnaig at Wikimedia Commons
Loch_Lubnaig
River canyon in China
text-align:center; line-height:1.2em;" Hiking the length of the gorge is possible. The hiking path ("the high road") is well-maintained and marked, although
Tiger_Leaping_Gorge
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
Surname or Lastname
English (Kent and London)
English (Kent and London) : from Old French verge ‘half-acre’, hence a status name for the owner of that amount of land.Catalan (Vergé) : variant of Verger, topographic name from Catalan verger ‘orchard’ (Latin viridiarium)Catalan : possibly also a nickname from verge ‘maiden’ (Latin virgo ‘maiden’).
Girl/Female
Australian, British, English
Way
Female
Hebrew
(בַּתש×וּעַ) Hebrew name BATH-SHUWA means "daughter of wealth." In the bible, this is another name Bath-Sheba is known by.
Surname or Lastname
English
English : variant spelling of Everidge.
Boy/Male
Tamil
Moderate, Average
Surname or Lastname
English and Scottish
English and Scottish : from the personal name Pat(t), Pate, a short form of Patrick.English and Scottish : nickname for a man with a bald head, from Middle English pate ‘head’, ‘skull’.French (Paté) : from Old French pat(t)é ‘with paws’, ‘pawed’ (from pat(t)e ‘paw’), a nickname, applied presumably to a man with large and clumsy hands and feet.German : nickname for a trustworthy man, from Middle High German pate, Middle Low German pade ‘godfather’, ‘male relative’ (see Paeth), or alternatively from a personal name Bado, probably meaning ‘battle’, ‘fight’.
Boy/Male
Muslim
Moderate, Average
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
Boy/Male
Arabic, Modern
Road; The Way
Female
English
English short form of French Catherine, CATH means "pure."
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Boy/Male
Hindu
Moderate, Average
Boy/Male
Arabic, Muslim, Sindhi
Moderate; Average
Female
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
Female
English
Short form of English Katherine, KATH means "pure."
Boy/Male
Muslim/Islamic
Moderate average
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Surname or Lastname
English
English : habitational name from the city of Bath in western England, which is the site of sumptuous, but in the Middle Ages ruined, Roman baths. The place is named with the dative plural of Old English bæð ‘bath’. In some cases the surname may have originated as a metonymic occupational name for an attendant at a public bath house.Scottish : reduced and altered form of McBeth.German : variant of Bathe.Indian (Panjab) : Sikh name based on the name of a Jat clan.
Boy/Male
Buddhist, Indian
High Above Average
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
Boy/Male
Bengali, Hindu, Indian
God of Songs
Boy/Male
Indian, Punjabi, Sikh
Elevated Name
Surname or Lastname
Scottish
Scottish : name of a clan associated with Caithness, derived from the Old Norse personal name Gunnr (or the feminine form Gunne), a short form of any of various compound names with the first element gunn ‘battle’.Scottish : sometimes an Anglicized form of Gaelic Mac Gille Dhuinn ‘son of the servant of the brown one’ (see Dunn). (According to Woulfe a name of the same form also existed in Sligo, Ireland.)English : metonymic occupational name for someone who operated a siege engine or cannon, perhaps also a nickname for a forceful person, from Middle English gunne, gonne ‘ballista’, ‘cannon’, ‘gun’. The term originated as a humorous application of the Scandinavian female personal name Gunne or Gunnhildr.
Boy/Male
Hindu, Indian, Marathi
Lord Krishna
Boy/Male
Hindu
God
Surname or Lastname
English
English : topographic name for someone who lived by a rocky crag or outcrop, from Old French roche (later replaced in England by rock, from the Norman byform rocque), or a habitational name from any of the places named with this word, such as Roach in Devon, or Roche in Cornwall and South Yorkshire.English and Irish (of Norman origin) : habitational name from any of various places in Normandy, as for example Les Roches in Seine-Maritime, named with Old French roche, or from Roche Castle in Wales.
Boy/Male
Arabic, Muslim
Bright
Girl/Female
Tamil
Seven sound of song
Girl/Female
Indian
Rose
Girl/Female
Italian
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
AVERAGE PATH-LENGTH
v. t.
To adorn, as the face, with a patch or patches.
n.
A small mass, as of butter, shaped by pats.
n.
The act of exposing the body, or part of the body, for purposes of cleanliness, comfort, health, etc., to water, vapor, hot air, or the like; as, a cold or a hot bath; a medicated bath; a steam bath; a hip bath.
v. t.
To divide among a number, according to a given proportion; as, to average a loss.
v. t.
To do, accomplish, get, etc., on an average.
n.
A mean proportion, medial sum or quantity, made out of unequal sums or quantities; an arithmetical mean. Thus, if A loses 5 dollars, B 9, and C 16, the sum is 30, and the average 10.
n.
Acres collectively; as, the acreage of a farm or a country.
n.
A way, course, or track, in which anything moves or has moved; route; passage; an established way; as, the path of a meteor, of a caravan, of a storm, of a pestilence. Also used figuratively, of a course of life or action.
v. i.
To form, or exist in, a mean or medial sum or quantity; to amount to, or to be, on an average; as, the losses of the owners will average twenty five dollars each; these spars average ten feet in length.
n.
An average.
adv.
In a pat manner.
pl.
of Path
v. t.
To supply or impregnate with common air; as, to aerate soil; to aerate water.
a.
According to the laws of averages; as, the loss must be made good by average contribution.
imp. & p. p.
of Average
v. t.
To make a path in, or on (something), or for (some one).
a.
Pertaining to an average or mean; medial; containing a mean proportion; of a mean size, quality, ability, etc.; ordinary; usual; as, an average rate of profit; an average amount of rain; the average Englishman; beings of the average stamp.
p. pr. & vb. n.
of Average