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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
Topics referred to by the same term
up path length in Wiktionary, the free dictionary. Path length can refer to: Distance, the total distance an object travels dependent on its path through
Path_length
Concept in network topology
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 paths
Average_path_length
Measure of distance in physical space
weights of the edges that it uses. Length is used to define the shortest path, girth (shortest cycle length), and longest path between two vertices in a graph
Length
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
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
Magnetic path length (MPL) is the effective length of a closed magnetic loop inside a magnetic core made of ferromagnetic material which may be also gapped
Magnetic_path_length
Academic field
shortest path length is calculated by finding the shortest path between all pairs of nodes, and taking the average over all paths of the length thereof
Network_science
1925 tornado in Missouri, Illinois and Indiana, U.S.
100-mile (160 km) path lengths from 1980 to 2012, and 60 since 1950. Yet the high-end estimates of the Tri-State Tornado's path length are still far longer
1925_Tri-State_tornado
Optical path (OP) is the trajectory that a light ray follows as it propagates through an optical medium. The geometrical optical-path length or simply
Optical_path
Dimension for scale of a physical system
physics, a characteristic length is an important dimension that defines the scale of a physical system. Often, such a length is used as an input to a formula
Characteristic_length
Text that identifies an item in a computer file system
A path (or filepath, file path, pathname, or similar) is a string that uniquely identifies an item in a hierarchical file system. Generally, a path is
Path_(computing)
Distance along a curve
Arc length is the distance between two points along a curve. It can be formalized mathematically for smooth curves using vector calculus and differential
Arc_length
Search algorithm finding the position of a target value within a sorted array
path is any path from the root to an existing node. Let I {\displaystyle I} be the internal path length, the sum of the lengths of all internal paths
Binary_search
Distance over which a propagating wave maintains a certain degree of coherence
strong when the paths taken by all of the interfering waves differ by less than the coherence length. A wave with a longer coherence length is closer to
Coherence_length
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
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
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
Optical interference pattern of concentric rings
distance of (again) t and passes back into the lens. The additional path length is equal to twice the gap between the surfaces. The two reflected rays
Newton's_rings
Problem of finding the longest simple path for a given graph
computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A path is called simple if it does
Longest_path_problem
Method of generating random small-world graphs
produces graphs with small-world properties, including short average path lengths and high clustering. It was proposed by Duncan J. Watts and Steven Strogatz
Watts–Strogatz_model
Scale for rating tornado intensity
Prediction Center/SPC). The scale was updated in 1973, taking into account path length and width. In the United States, starting in the late 1970s, tornadoes
Fujita_scale
Optical microscopy technique
the principle of interferometry to gain information about the optical path length of the sample, to see otherwise invisible features. A relatively complex
Differential interference contrast microscopy
Differential_interference_contrast_microscopy
Property in optics
of the order of 10−5 and 10−6. Optical path length (OPL) is the product of the geometric length d of the path light follows through a system, and the
Refractive_index
Computational problem of graph theory
correspond to road segments, each weighted by the length or distance of each segment. The shortest path problem can be defined for graphs whether undirected
Shortest_path_problem
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 was
Small-world_experiment
Graph where most nodes are reachable in a small number of steps
average shortest path length). Purely random graphs, built according to the Erdős–Rényi (ER) model, exhibit a small average shortest path length (varying typically
Small-world_network
File archiver
CBC mode and was increased in strength from 128- to 256-bit. Maximum path length for files in RAR and ZIP archives is increased from 2047 to 65535 characters
WinRAR
Algorithm for anomaly detection
interpreted as the length of the path, within the tree, to reach a terminating node starting from the root. For example, the path length of point xi in Fig
Isolation_forest
Optical technique for monitoring brain activity
path-length. However, CW-fNIRS does not provide any knowledge of photon path-length, so changes in HbO concentration are relative to an unknown path-length
Functional near-infrared spectroscopy
Functional_near-infrared_spectroscopy
1887 investigation of the speed of light
wind would produce a difference in optical path lengths between the two arms of the interferometer. This path difference depends on the orientation of the
Michelson–Morley_experiment
Path in a graph that visits each vertex exactly once
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex
Hamiltonian_path
Logarithm of ratio of incident to transmitted radiant power through a sample
particular is not a length, though it is a monotonically increasing function of path length, and approaches zero as the path length approaches zero. The
Absorbance
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
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
Concept of social inter-connectedness
billion conversations among 240 million people. They found the average path length among Microsoft Messenger users to be 6. It has been suggested by some
Six_degrees_of_separation
Range of spectroscopic analysis
concentration of the absorbing species in the solution and the path length. Thus, for a fixed path length, UV–Vis spectroscopy can be used to determine the concentration
Ultraviolet–visible spectroscopy
Ultraviolet–visible_spectroscopy
NP-hard problem in combinatorial optimization
inter-city distance d A B {\displaystyle d_{AB}} is replaced by the shortest path length between A and B in the original graph. For points in the Euclidean plane
Travelling_salesman_problem
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
Wave phenomenon
{\displaystyle L} away from the object. At some point on the screen the path length to one side of the object is given by the Pythagorean theorem S = L 2
Diffraction_from_slits
Violently rotating column of air
longer damage paths: one tornado was reported to have a damage path only 7 feet (2.1 m) long, while the record-holding tornado for path length—the Tri-State
Tornado
Arc-like path that the Sun appears to follow across the sky
across the sky as the Earth rotates and orbits the Sun. The Sun's path affects the length of daytime experienced and amount of daylight received along a
Sun_path
Subfield of computer science
span is the length of the longest series of operations that have to be performed sequentially due to data dependencies (the critical path). The depth
Analysis of parallel algorithms
Analysis_of_parallel_algorithms
Fast path is a term used in computer science to describe a path with shorter instruction path length through a program compared to the normal path. For
Fast_path
Formula for light yield per path length
an empirical formula for the light yield per path length as a function of the energy loss per path length for a particle traversing a scintillator, and
Birks'_law
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
Formulation of geometrical optics
coordinates of euclidean space. Fermat's principle states that the optical length of the path followed by light between two fixed points, A and B, is a stationary
Hamiltonian_optics
Self-balancing binary search tree
WAVL tree with n items that has only undergone insertions, the maximum path length is log φ n ≈ 1.44 log 2 n {\displaystyle \log _{\varphi }n\approx
WAVL_tree
Measurement technique
when the path lengths of the measurement beam and the reference beam are nearly matched. By scanning (changing) the measurement beam path length relative
White_light_interferometry
Source code that alters its instructions to the hardware while executing
instructions while it is executing – usually to reduce the instruction path length and improve performance or simply to reduce otherwise repetitively similar
Self-modifying_code
Node ordering for directed acyclic graphs
algorithms for finding the critical path of the project, a sequence of milestones and tasks that controls the length of the overall project schedule. In
Topological_sorting
Method of separating chemical or biological samples
sensitivity of the detector is proportional to the path length of the cell. To improve the sensitivity, the path length can be increased, though this results in
Capillary_electrophoresis
Rotation of the plane of linearly polarized light as it travels through a chiral material
of light of a specified wavelength is rotated is proportional to the path length through the material and (for a solution) proportional to its concentration
Optical_rotation
Branch of optics
has optical path length S(τA) = n1d5 + n2d6. Also, ray rB has optical path length S(τB) = n1d7 + n2d8. The difference in optical path length for rays rA
Nonimaging_optics
Extremely devastating windstorm in the United States
the path. Entire farms were leveled, and debris from homes was found up to 12 miles (19 km) away. Trees were completely debarked along the path as well
Tornado outbreaks of mid-to-late May, 1896
Tornado_outbreaks_of_mid-to-late_May,_1896
2011 EF5 tornado in Alabama, U.S
estimated to have had peak winds of 210 mph (340 km/h), and a total path length of about 102 miles (164 km), making it the third-longest-tracked tornado
2011 Hackleburg–Phil Campbell tornado
2011_Hackleburg–Phil_Campbell_tornado
Physics concept
particular is not a length, though it is a monotonically increasing function of optical path length, and approaches zero as the path length approaches zero
Optical_depth
Second-largest tornado outbreak in United States history
extensively damaged approximately 900 mi2 (2,331 km2) along a total combined path length of 2,600 mi (4,184 km). At one point, as many as 15 separate tornadoes
1974_Super_Outbreak
2024 EF4 tornado in eastern Nebraska and Iowa
wind speeds estimated at 165 mph (266 km/h). A path width of 1,600 yards (1,500 m) and a path length of 32.33-mile (52.03 km) was determined as well
2024_Elkhorn–Blair_tornado
Concept in physics
microscopic level, they undergo collisions on the scale of the mean free path length until they come to rest in the post-shock flow (but moving in the frame
Rankine–Hugoniot_conditions
Distance over which a wave's shape repeats
the light arriving from each position within the slit has a different path length, albeit possibly a very small difference. Consequently, interference
Wavelength
a tornado. Damage survey DAPPL database – Short for Damage Area Per Path Length, this is one of three US tornado databases and was maintained by Ted
Glossary_of_tornado_terms
1925 tornado outbreak in the U.S. states of Missouri, Illinois, and Indiana
Modern meteorological re-analysis has suggested that the extremely long path length and lifespan reported in historical accounts are perhaps more plausibly
1925 Tri-State tornado outbreak
1925_Tri-State_tornado_outbreak
German Jewish mathematician, physicist, and chemist (1825–1863)
through a solution at a given wavelength decreases exponentially with the path length and the concentration of the solute, when the solvent is non-absorbing
August_Beer
Mirror made of dielectric materials
(see diagram). The thicknesses of the layers are chosen such that the path-length differences for reflections from different high-index layers are integer
Dielectric_mirror
Walking path in Europe
long-distance path, or just E1 path, is one of the European long-distance paths designated by the European Ramblers' Association. It has a total length of some
E1 European long distance path
E1_European_long_distance_path
Mathematical theorem on convolved binomial coefficients
order, and the total path length is m + n). Call the bottom left vertex (0, 0). There are ( m k ) {\displaystyle {\binom {m}{k}}} paths starting at (0, 0)
Vandermonde's_identity
Light or sound absorption in a substance
_{\mathrm {e} }}{\mathrm {d} z}},} where Φe is the radiant flux; z is the path length of the beam. Note that for an attenuation coefficient which does not
Attenuation_coefficient
adjacent to the electrode and on the electrode surface. The optical path length coincides with the diffusion layer thickness, which is usually in the
UV-Vis absorption spectroelectrochemistry
UV-Vis_absorption_spectroelectrochemistry
Natural source of microwave radiation emission
that has a slightly longer path length than the rest will appear much brighter (as it is the exponent of the path length that is relevant), and so maser
Astrophysical_maser
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)
Test for a valid public key certificate
some man in the middle attacks; The path length is checked to ensure that it does not exceed any maximum path length asserted in this or a previous certificate;
Certification path validation algorithm
Certification_path_validation_algorithm
Interference phenomenon of waves
the wavefront (or, equivalently, each wavelet) that travel by paths of different lengths to the registering surface. If there are multiple closely spaced
Diffraction
Instrument for measuring optical rotation
}^{T}} is a physical property and defined as the optical rotation α at a path length l of 1 dm, a concentration c of 10 g/L, a temperature T (usually 20 °C)
Polarimeter
Process in molecular biology
a path length that is shorter than 10mm, the resultant OD will be reduced by a factor of 10/path length. Using the example above with a 3 mm path length
Nucleic_acid_quantitation
Optical inhomogeneities in transparent media
inhomogeneities. These inhomogeneities are localized differences in optical path length that cause deviations of light rays, especially by refraction. This light
Schlieren
System of multiple interacting agents
using a weighted request matrix, e.g. Speed-VERY_IMPORTANT: min=45 mph, Path length-MEDIUM_IMPORTANCE: max=60 expectedMax=40, Max-Weight-UNIMPORTANT Contract
Multi-agent_system
Method of determining chemical concentration
colorimeter, for example the Duboscq colorimeter illustrated, the length of the light path through the solutions can be varied while filtered light transmitted
Colorimetric_analysis
1985 F4 tornado in Ontario, Canada
floating in the bay, however. Despite the tornado's relatively short path length (under 10 kilometres (6.2 mi)), eight died in Barrie with 155 injured
1985_Barrie_tornado
Misaligned timing signals from different paths
temperature, and path length. In a synchronous circuit, two registers, or flip-flops, are said to be "sequentially adjacent" if a logic path connects them
Clock_skew
State of matter with properties of both conventional liquids and crystals
path length (i.e., optical path length as the function of its pupil coordinate). In different imaging system, the required function of optical path length
Liquid_crystal
1992 violent tornado
stating the tornado's path length was only 16 miles (26 km), while the local National Weather Service office states the official path length was 35 miles (56 km)
1992 Chandler–Lake Wilson tornado
1992_Chandler–Lake_Wilson_tornado
Spanning tree minimizing sum of distances
It is also called the optimum distance spanning tree, shortest total path length spanning tree, minimum total distance spanning tree, or minimum average
Minimum routing cost spanning tree
Minimum_routing_cost_spanning_tree
Weather event in the United States
featured a path length in excess of 100 mi (160 km). The two tornadoes are officially listed as continuous events, but the tornadoes' damage paths did not
Tornado outbreak of April 4–5, 1966
Tornado_outbreak_of_April_4–5,_1966
spectrophotometer, using a 10 cm path-length. The colour can be seen by eye by looking through a column of water about 10 m in length; the water must be passed
Electromagnetic absorption by water
Electromagnetic_absorption_by_water
Optical property of chiral chemical compounds
polarized light is rotated by a solution of mass concentration γ and path length l. Here θ is the Celsius temperature and λ the wavelength of the light
Specific_rotation
Directed graph with no directed cycles
that are reachable by at least one path of length two or more from pairs that can only be connected by a length-one path. The transitive reduction consists
Directed_acyclic_graph
Elementary subatomic particle with negative electric charge
petaelectronvolt energies), when time dilation extends its otherwise very short path-length. As with the case of the other charged leptons, the tau has an associated
Tau_(particle)
Principle of least length in physics
1759) states that the path followed by a physical system is the one of least length (with a suitable interpretation of path and length). It is a special case
Maupertuis's_principle
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
Length of an object in the object's rest frame
spacelike path), while the proper time is defined between two timelike-separated events (or along a timelike path). The proper length or rest length of an
Proper_length
Graph path which is an induced subgraph
every induced path is a shortest path, and the graphs in which every two induced paths between the same two vertices have the same length. The block graphs
Induced_path
Node with a number of links that greatly exceeds the average
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)
Device to determine relative phase shift
well-separated light paths is traversed only once. If the source has a low coherence length then great care must be taken to equalize the two optical paths. White light
Mach–Zehnder_interferometer
Computer science concept
But weighted path lengths have an interesting property. Let E be the weighted path length of a binary tree, EL be the weighted path length of its left
Optimal_binary_search_tree
Field in a routing table used to make routing decisions
router metric is typically based on information such as path length, bandwidth, load, hop count, path cost, delay, maximum transmission unit (MTU), reliability
Metrics_(networking)
2016 tornado in Jiangsu, China
Strikes Yancheng, Jiangsu, Causing 98 Deaths. The tornado carved a wide path of destruction through the Funing area of Yancheng in Jiangsu province, at
2016_Funing_tornado
sample and reference path lengths. An immersion Mirau interferometer is a modification of a Mirau interferometer, in which the light path is immersed in a
Mirau_interferometer
Weather event in the United States
tornado caused only minor damage to properties and trees. Estimates of the path length vary from 11 to 20 mi (18 to 32 km). Heavy rainfall, suggestive of a
Tornado outbreak sequence of May 4–10, 1933
Tornado_outbreak_sequence_of_May_4–10,_1933
average widths of tornado paths were officially listed. Brooks, Harold E. (April 2004). "On the Relationship of Tornado Path Length and Width to Intensity"
List of United States tornadoes in 1950
List_of_United_States_tornadoes_in_1950
PATH LENGTH
PATH LENGTH
Boy/Male
Indian
Victory
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.
Female
Hebrew
(בַּת-ש×ֶבַע) Hebrew name BATH-SHEBA means "daughter of the oath." In the bible, this is the name of a wife of Uriah then later King David, and mother of Solomon. Also spelled Bat-Sheva, Bathsheba, and Bathsheva.
Female
Hebrew
(×Ö¸×¡Ö°× Ö·×ª) Hebrew name of Egyptian origin, ACÄ”NATH means "belonging to the goddess Neith." In the bible, this is the name of Joseph's Egyptian wife.
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’.
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
Scottish
Scottish : reduced form of McGath.English : variant of Garth.North German (Gäth) : variant of Gäde (see Gaede).North German : topographic name from Middle Low German gate ‘street’, ‘alley’.
Boy/Male
Muslim/Islamic
Correct path Straight path
Girl/Female
Australian, British, English
Way
Female
English
Short form of English Katherine, KATH means "pure."
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Boy/Male
Arabic, Australian, Muslim
Correct Path; Straight Path
Female
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
Female
English
English short form of French Catherine, CATH means "pure."
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
Boy/Male
Arabic, Modern
Road; The Way
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Boy/Male
Muslim
Correct path, Straight path
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Male
English
English unisex short form of English Patrick and Latin Patricia, PAT means "patrician; of noble birth."
PATH LENGTH
PATH LENGTH
Female
Dutch
, bitter.
Boy/Male
Hindu, Indian, Tamil
A Little Cape; Cloak
Boy/Male
British, English
Delicate Leaf
Girl/Female
Hindu, Indian, Kannada, Telugu
Flower
Girl/Female
Biblical
A tower, darkness, small white cloud.
Surname or Lastname
English
English : from a Middle English personal name Dunstan, composed of Old English dunn ‘dark’, ‘brown’ + stÄn ‘stone’. This name was borne by a 10th-century archbishop of Canterbury who was later canonized.English : habitational name from Dunstone in Devon, named from Old English DunstÄnestÅ«n ‘settlement of Dunstan’ (as in 1). The surname is still chiefly common in Devon, but there are places in other parts of the country with similar names but different etymologies (e.g. Dunstan in Northumbria, Dunston in Lincolnshire, Norfolk, Staffordshire, and Derbyshire), which may possibly have contributed to the surname.Scottish : partly perhaps the same as 1, but there is a place named Dunstane in Roxburghshire, which may also be a source of the surname.
Boy/Male
Tamil
Vrajraj | வà¯à®°à®œà®°à®¾à®œ
Lord Krishna
Male
Scandinavian
Scandinavian form of Old Norse Ingimarr, INGEMAR means "Ing-famous."Â
Girl/Female
Tamil
Manimekhala | மநிமேகலா
A girdle of gems
Girl/Female
Irish
Meaning “female champion†it is the feminine form of Niall.
PATH LENGTH
PATH LENGTH
PATH LENGTH
PATH LENGTH
PATH LENGTH
n.
Fig.: Anything regarded as a patch; a small piece of ground; a tract; a plot; as, scattered patches of trees or growing corn.
n.
A small piece of anything used to repair a breach; as, a patch on a kettle, a roof, etc.
v. t.
To mend with pieces; to repair with pieces festened on; to repair clumsily; as, to patch the roof of a house.
pl.
of Path
n.
Hence: The which contains the strength of life; the vital or essential part; concentrated force; vigor; strength; importance; as, the speech lacked pith.
n.
Way; road; path.
v. t.
To adorn, as the face, with a patch or patches.
v. t.
To make of pieces or patches; to repair as with patches; to arrange in a hasty or clumsy manner; -- generally with up; as, to patch up a truce.
n.
A small mass, as of butter, shaped by pats.
pr.p. & vb. n.
of Path
n.
Way; track; path.
v. t.
To make a path in, or on (something), or for (some one).
n.
A towing path.
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.
adv.
In a pat manner.
imp. & p. p.
of Path
v. t.
To mend by sewing on a piece or pieces of cloth, leather, or the like; as, to patch a coat.
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.