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Topics referred to by the same term
paths The Skorokhod space of càdlàg paths For the usage in algebraic topology, see path space (algebraic topology). For Moore's path space, see path space
Path_space
Path loss of radio transmitted through air or vacuum
In telecommunications, the free-space path loss (FSPL) (also known as free-space loss, FSL) is the decrease in signal strength of a signal traveling between
Free-space_path_loss
In algebraic topology, the path space fibration over a pointed space ( X , ∗ ) {\displaystyle (X,*)} is a fibration of the form Ω X ↪ P X → χ ↦ χ ( 1
Path_space_fibration
Computer graphics method
to use the new path (continuing the random walk in "path space" in that direction) or stick with the previous path and try again. Paths (proposals) that
Path_tracing
Topological space that is connected
locally path-connected space, every open connected set is path-connected. Every locally path-connected space is locally connected. A locally path-connected
Connected_space
of mathematics, the based path space P X {\displaystyle PX} of a pointed space ( X , ∗ ) {\displaystyle (X,*)} is the space that consists of all maps
Path space (algebraic topology)
Path_space_(algebraic_topology)
Property of topological spaces
consisting of path connected open sets. A locally path connected space is a space that is locally path connected at each of its points. Locally path connected
Locally_connected_space
Continuous function whose domain is a closed unit interval
mathematics, a path in a topological space X {\displaystyle X} is a continuous function from a closed interval into X . {\displaystyle X.} Paths play an important
Path_(topology)
Space which has no holes through it
topology, a topological space is called simply connected (or 1-connected, or 1-simply connected) if it is path-connected and every path between two points
Simply_connected_space
Type theory in logic and mathematics
"equality types" that were claimed to be interpreted in the model by path-spaces, but did not consider Per Martin-Löf's rules for identity types. It also
Homotopy_type_theory
Formulation of quantum mechanics
which naturally enters the path integrals (for interactions of a certain type, these are coordinate space or Feynman path integrals), than the Hamiltonian
Path_integral_formulation
Mathematics glossary
free path space of a space X refers to the space of all maps from I to X; i.e., X I {\displaystyle X^{I}} while the path space of a based space X consists
Glossary of algebraic topology
Glossary_of_algebraic_topology
Signal attenuation in telecommunications
Path loss, or path attenuation, is the reduction in power density (attenuation) of an electromagnetic wave as it propagates through space. Path loss is
Path_loss
American public aerospace developer and manufacturer
LoadPath, was acquired on December 15, 2020. Redwire acquired Littleton, Colorado-based Oakman Aerospace on January 19, 2021. Deployable Space Systems
Redwire
Indian polymath (1907–1966)
eight research papers in the general area of Differential Geometry and Path Spaces. His fluency in several European languages allowed him to publish some
Damodar_Dharmananda_Kosambi
Topological space
this operation, the loop space is an A∞-space. That is, the multiplication is homotopy-coherently associative. The set of path components of ΩX, i.e. the
Loop_space
Walkway network and mall in Ontario, Canada
Records, Path as of 2016 was the largest underground shopping complex in the world, with 371,600 square metres (4,000,000 sq ft) of retail space which includes
Path_(Toronto)
Carlo random walk in the path space of the transition trajectories, and thus generate the ensemble of all transition paths. All the relevant information
Transition_path_sampling
Topics referred to by the same term
^{n}} or more generally to a metric space or a topological space Simple path (graph theory), a simple path is a path in a graph which does not have repeating
Simple_path
Concept in geometry/topology
In the mathematical study of metric spaces, one can consider the arclength of paths in the space. If two points are at a given distance from each other
Intrinsic_metric
Topological construction defined up to homotopy
to the mapping cone, much as the mapping path space is dual to the mapping cylinder. Given a topological space X {\displaystyle X} and the inclusion of
Homotopy_fiber
Vector field that is the gradient of some function
system, the work done in moving along a path in a configuration space depends on only the endpoints of the path, so it is possible to define potential
Conservative_vector_field
American space and aeronautics agency
Bennu's onward flight path. The WISE/NEOWISE mission was launched by NASA JPL in 2009 as an infrared-wavelength astronomical space telescope. In 2013, NASA
NASA
Concept in algebraic topology
example is Moore's path space fibration: namely, let P ′ X {\displaystyle P'X} be the space of paths of various length in a based space X. Then the fibration
G-fibration
Spectral sequence in algebraic topology
{\displaystyle f\colon X\to B} be a Serre fibration of topological spaces, and let F be the (path-connected) fiber. The Serre cohomology spectral sequence is
Serre_spectral_sequence
Type of continuous map in topology
is a path-connected space, then for Y = { 0 } {\displaystyle Y=\{0\}} it follows that the map F ~ {\displaystyle {\tilde {F}}} is a lift of a path in X
Covering_space
Mathematical space with a notion of distance
does not have an easy explanation in terms of paths in the plane, but it still satisfies the metric space axioms. It can be thought of similarly to the
Metric_space
Computational problem
represented as a path in (possibly higher-dimensional) configuration space. A configuration describes the pose of the robot, and the configuration space C is the
Motion_planning
Space service branch of the U.S. military
Force or Space Force. The Air Force Officer Training School is the final path to commission into the Space Force, graduating its first two Space Force officers
United_States_Space_Force
Modular space station in low Earth orbit
The International Space Station (ISS) is a space station in low Earth orbit (LEO). It is the product of the International Space Station program and is
International_Space_Station
Topological space that is maximally disconnected
one-point sets. Analogously, a topological space X {\displaystyle X} is totally path-disconnected if all path-components in X {\displaystyle X} are the
Totally_disconnected_space
Producing images of 3D scenes
and path tracing, and is used by rasterization to implement screen-space reflection and other effects. A technique called photon mapping traces paths of
Rendering_(computer_graphics)
Problem of computing shortest paths around geometric obstacles
path problem is a problem in computational geometry: given a set of polyhedral obstacles in a Euclidean space, and two points, find the shortest path
Euclidean_shortest_path
Algorithm used for pathfinding and graph traversal
shortest path (with respect to the given weights) from source to goal. One major practical drawback is its O ( b d ) {\displaystyle O(b^{d})} space complexity
A*_search_algorithm
Rendering method
of paths will transport energy; Metropolis light transport is a method which begins with a random search of the path space, and when energetic paths are
Ray_tracing_(graphics)
Branch of mathematics
identified with the set of path-connected components in X {\displaystyle X} . Every group is the fundamental group of some space. A map f {\displaystyle
Homotopy_theory
Topics referred to by the same term
analysis Functional integration, the integral of a functional over a space of curves Path integral formulation, Richard Feynman's formulation of quantum mechanics
Path_integral
Topics referred to by the same term
through space Optical path length, the product of the distance light travels and the refractive index of the medium it travels through Mean free path, the
Path_length
Void between celestial bodies
is "flat", meaning that photons on parallel paths at one point remain parallel as they travel through space to the limit of the observable universe, except
Outer_space
Partially reusable launch system and space plane
National Aeronautics and Space Administration (NASA) as part of the Space Shuttle program. Its official program name was the Space Transportation System
Space_Shuttle
Planned European mission to demonstrate space debris removal
rendezvous, capture, and deorbit for end-of-life satellites and to build a path to space junk remediation. Destructive reentry will destroy both the captured
ClearSpace-1
Type of vector space in math
plane and three-dimensional space to spaces of any finite or infinite dimension. A Hilbert space is an abstract vector space, and it has the additional
Hilbert_space
American mathematician
Einstein manifolds, or more generally spaces with bounded Ricci curvature, through the analysis of path space of the manifold. This work was generalized
Aaron_Naber
Concept in algebraic topology
B} between topological spaces consists of pairs ( a , γ ) {\displaystyle (a,\gamma )} with a ∈ A {\displaystyle a\in A} and paths γ : I → B {\displaystyle
Fibration
within the space of two hours. After the storm, conservation and forest managers decided to leave the 10-hectare windthrow area of the Lothar Path to recover
Lothar_Path
Spacecraft electrostatic charge eliminator
conductive path closes a phantom loop circuit to discharge or neutralize the static electricity that can build up on a spacecraft. Space contains regions
Plasma_contactor
Algorithm for finding shortest paths
algorithm (/ˈdaɪk.strəz/, DYKE-strəz) is an algorithm for finding the shortest paths between nodes in a weighted graph, which may represent, for example, a road
Dijkstra's_algorithm
Iranian mathematician (born 1972)
(2010). "Change of variable formulas for non-anticipative functional on path space". Journal of Functional Analysis. 259 (4): 1043–1072. arXiv:1004.1380
Rama_Cont
NASA group established by the Obama administration to clarify US aerospace's future
spaceflight plans to ensure "a vigorous and sustainable path to achieving its boldest aspirations in space." The review was announced by the OSTP on May 7, 2009
Review of United States Human Space Flight Plans Committee
Review_of_United_States_Human_Space_Flight_Plans_Committee
of path-connectedness and simple connectedness. An equivalent definition of homotopical connectivity is based on the homotopy groups of the space. A space
Homotopical_connectivity
Framework of distances and directions
Space is a three-dimensional continuum containing positions and directions. In classical physics, physical space is often conceived in three linear dimensions
Space
1999 film by Mike Judge
"Follow the Path of Least Resistance: An Oral History of 'Office Space'". The Ringer. Archived from the original on February 19, 2019. Office Space at Wikipedia's
Office_Space
spaces. Their strictness as separation properties in increasing order is T1: every single-point set is closed. Δ-Hausdorff: the image of every path is
Weak_Hausdorff_space
Concept in stochastic analysis
In stochastic analysis, a rough path is a generalization of the classical notion of a smooth path. It extends calculus and differential equation theory
Rough_path
Robotics and planning computational problem
control theory and mechanics to determine the path a car must take to parallel park into a parking space. The front wheels of a car are permitted to turn
Parallel_parking_problem
2009 American film
Space Buddies is a 2009 American science fiction comedy film. It is the third film in the Air Buddies franchise. It was released by Walt Disney Studios
Space_Buddies
Algorithm to find Euclidean shortest paths
any-angle paths by restricting the search space to the Taut paths (a path where every heading change in the path “wraps” tightly around some obstacle); looking
Any-angle_path_planning
by a shortest path lying entirely in the space. Geodesic metric spaces generalize the notion of straight line segments in Euclidean space and geodesics
Geodesic_metric_space
Pathway for pedestrians and cyclists
A shared-use path, mixed-use path or multi-use pathway is a path which is "designed to accommodate the movement of pedestrians and cyclists". Examples
Shared-use_path
Private school in Hyderabad, Telangana, India
Walden's Path School is located in Hyderabad, India. It follows Cambridge IGCSE syllabi. The School is inspired by Jiddu Krishnamurti's Educational Philosophy
Walden's_Path
NASA/ESA space telescope launched in 1990
incorporates text from this source, which is in the public domain. "The Path to Hubble Space Telescope". NASA. Archived from the original on May 24, 2008. Retrieved
Hubble_Space_Telescope
Port Authority Trans-Hudson rail station
Pavonia Avenue station, or the Pavonia–Newport station) is a station on the PATH system. Located on Town Square Place (formerly Pavonia Avenue) at the corner
Newport_station_(PATH)
Describes the fundamental group in terms of a cover by two open path-connected subspaces
fundamental group of a topological space X {\displaystyle X} in terms of the fundamental groups of two open, path-connected subspaces that cover X {\displaystyle
Seifert–Van_Kampen_theorem
Neighbourhood in Toronto, Ontario, Canada
The Bridle Path is a residential neighbourhood in Toronto, Ontario, Canada. It is characterized by large multimillion-dollar mansions and two to four acre
Bridle_Path,_Toronto
Space of all possible states that a system can take
multidimensional space. The system's evolving state over time traces a path (a phase-space trajectory for the system) through the high-dimensional space. The phase-space
Phase_space
Branch of topology
the empty space. Every path-connected space is connected. The converse is not always true: examples of connected spaces that are not path-connected include
General_topology
Probabilistic motion planning algorithm
graph, and the path is obtained by a Dijkstra's shortest path query. Given certain relatively weak conditions on the shape of the free space, PRM is provably
Probabilistic_roadmap
Bikeway separated from motorized traffic
unusual, to connect people to places, bike paths may be extended into indoor spaces. An example is the indoor bike path at Funan Mall in Singapore that is extended
Bike_path
Type of Monte Carlo algorithms for signal processing and statistical inference
k}^{i}\right)}(d(x_{0},\cdots ,x_{k}))} Here F stands for any founded function on the path space of the signal. In a more synthetic form (Eq. 3) is equivalent to p ( d
Particle_filter
Port Authority Trans-Hudson rail station
The World Trade Center station is a terminal station on the PATH system, within the World Trade Center complex in the Financial District of Manhattan,
World Trade Center station (PATH)
World_Trade_Center_station_(PATH)
Mathematical model combining space and time
physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into
Spacetime
Aspect of anatomy
moves by the path of least resistance, e.g. the fluid will more readily dissect apart loosely connected tissue planes, such the fascial spaces, than erode
Fascial spaces of the head and neck
Fascial_spaces_of_the_head_and_neck
Ground-based laser beam-powered system to clear space debris
sweeps space debris out of the path of artificial satellites (such as the International Space Station) to prevent collateral damage to space equipment
Laser_broom
In topology, a branch of mathematics, an aspherical space is a path connected topological space with all homotopy groups π n ( X ) {\displaystyle \pi
Aspherical_space
Automated message from an email system
simply copies the reverse path in the SMTP MAIL FROM command into the Return-Path. The MDA also removes bogus Return-Path header fields inserted by other
Bounce_message
Process forming a path from many random steps
stochastic process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk
Random_walk
1957 film by Stanley Kubrick
Paths of Glory is a 1957 American anti-war film directed by Stanley Kubrick, from a screenplay he co-wrote with Calder Willingham and Jim Thompson. It
Paths_of_Glory
Mathematical concept
topological path from x to y if and only if there is an undirected path between the corresponding vertices of Γ. Every finite space is locally path-connected
Finite_topological_space
Locus of colors of incandescent black bodies within a color space
black body locus, is the path, or locus, that the color of an incandescent black body would take in a particular chromaticity space as the blackbody temperature
Planckian_locus
Reusable superheavy-lift general-purpose launch vehicle
heavy-lift launch vehicle under development by American aerospace company SpaceX. Currently built and launched from Starbase in Texas, it is intended as
SpaceX_Starship
Probabilistic problem-solving algorithm
distributions with an increasing level of sampling complexity arise (path spaces models with an increasing time horizon, Boltzmann–Gibbs measures associated
Monte_Carlo_method
failure before launch, and one partial failure. Designed and operated by SpaceX, the Falcon 9 family includes the retired versions Falcon 9 v1.0, launched
List of Falcon 9 and Falcon Heavy launches
List_of_Falcon_9_and_Falcon_Heavy_launches
Video game genre
Beginning with arcade games such as the 1985 Space Harrier, the gameplay locks the player character into a set path, only allowing for limited or no divergence
Rail_shooter
Set of spacetime events, light-connected to a given event
cone (or null cone) is the path that a flash of light, emanating from a single event — localized to a single point in space and a single moment in time
Light_cone
Concept in homotopy theory
following commutative diagram where S I {\displaystyle S^{I}} is the path space of S {\displaystyle S} equipped with the compact-open topology. For the
Cofibration
Portion of the north-south power transmission corridor in California
Project. Path 15 is part of The Western Electricity Coordinating Council's links of electrical intertie paths in the western United States. Path 15, along
Path_15
Plotting by a computer application
in two-dimensional space.) As the value of the heuristic increases, A* examines fewer nodes but no longer guarantees an optimal path. In many applications
Pathfinding
NASA-led lunar exploration program
exploration program led by the United States' National Aeronautics and Space Administration (NASA), aimed at returning humans to the Moon for the first
Artemis_program
Upcoming crewed mission of the Artemis program
Chelsea (March 16, 2020). "NASA's "critical path" to the Moon no longer requires a lunar Gateway: Report". Space.com. Archived from the original on March
Artemis_III
Chinese-made video game
Path to Nowhere (Chinese: 无期迷途; pinyin: wúqīmìtú; Japanese: 無期迷途; Korean: 무기미도) is a tower defense role-playing game with gacha game elements developed
Path_to_Nowhere
Motion planning methods in robotics
space. Then in the query phase, the algorithms connects the starting and target configurations through a variety of paths. After creating the paths,
Real-time_path_planning
Pathological topological space
comb space, C, is path connected and contractible, but not locally contractible, locally path connected, or locally connected. The deleted comb space, D
Comb_space
Model for representing text documents
Vector space model (VSM) or term vector model is an algebraic model for representing text documents (or more generally, items) as vectors such that the
Vector_space_model
Concepts in algebraic topology
of f {\displaystyle f} along the identity is nothing but the mapping path space of f {\displaystyle f} . The universal property of a homotopy pullback
Homotopy_colimit_and_limit
Businessman and public official (born 1971)
businessman and former public official known for his leadership of Tesla and SpaceX. Musk has been the wealthiest person in the world since 2025; as of June 2026
Elon_Musk
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)
Straight path on a curved surface or a Riemannian manifold
of free falling test particles. A locally shortest path between two given points in a curved space, assumed to be a Riemannian manifold, can be defined
Geodesic
Conditions to be met for a rocket launch
Precipitation None was allowed to exist at the launch pad or within the flight path. "The Space Shuttle Launch Team". Archived from the original on 2015-06-19. Retrieved
Launch_commit_criteria
Periodic solution to the n-body problem
within a finite-dimensional approximation of the path space. One approach involves discretizing the path at uniform time intervals. Another effective method
N-body_choreography
Fundamental mechanical principles
the more powerful and general abstract spaces. Action principles assign a number—the action—to each possible path between two points. This number is computed
Action_principles
PATH SPACE
PATH SPACE
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
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’.
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
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
Boy/Male
Indian
Victory
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 (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Boy/Male
Arabic, Australian, Muslim
Correct Path; Straight Path
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.
Boy/Male
Muslim/Islamic
Correct path Straight path
Male
English
English unisex short form of English Patrick and Latin Patricia, PAT means "patrician; of noble birth."
Female
English
English short form of French Catherine, CATH means "pure."
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
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
Correct path, Straight path
Female
English
Short form of English Katherine, KATH means "pure."
Boy/Male
Arabic, Modern
Road; The Way
PATH SPACE
PATH SPACE
Male
Ukrainian
, supplanter.
Boy/Male
Latin American
Fifth.
Girl/Female
Hindu, Indian, Traditional
Night
Boy/Male
Indian, Sanskrit
Swan
Girl/Female
Hindu
Boy/Male
English
From the meadow.
Female
Scandinavian
Scandinavian form of Old Norse Sigrún, SIGRUN means "victory-secret."
Boy/Male
British, English, Hebrew
Right-hand Son; Similar to Benedict
Boy/Male
Arabic
Servant of Allah.
Girl/Female
Hindu, Indian, Traditional
Festival of Lamps
PATH SPACE
PATH SPACE
PATH SPACE
PATH SPACE
PATH SPACE
v. t.
To make a path in, or on (something), or for (some one).
imp. & p. p.
of Path
n.
Way; track; path.
pr.p. & vb. n.
of Path
v. t.
To mend with pieces; to repair with pieces festened on; to repair clumsily; as, to patch the roof of a house.
v. t.
To adorn, as the face, with a patch or patches.
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. 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 piece of anything used to repair a breach; as, a patch on a kettle, a roof, etc.
n.
Walk; track; path; course.
adv.
In a pat manner.
n.
A small mass, as of butter, shaped by pats.
n.
Hence: The which contains the strength of life; the vital or essential part; concentrated force; vigor; strength; importance; as, the speech lacked pith.
v. t.
To mend by sewing on a piece or pieces of cloth, leather, or the like; as, to patch a coat.
pl.
of Path
n.
A towing path.
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.
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.