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Means of dead reckoning used by animals
hence how to get home. This process was named path integration to capture the concept of continuous integration of movement cues over the journey. Manipulation
Path_integration
Ability of many animals to find their way accurately without maps or instruments
(1987) have demonstrated conclusively that [path integration in mammals] is a consequence of integrating internal cues from vestibular signals and motor
Animal_navigation
Topics referred to by the same term
Multisensory integration Path integration Pre-integration complex, viral genetic material used to insert a viral genome into a host genome DNA integration, by
Integration
Formulation of quantum mechanics
& Applications of Path Integration. New York: John Wiley & Sons. ISBN 978-0-486-44528-1. Simon, B. (1979). Functional Integration and Quantum Physics
Path-integral_formulation
Place-activated hippocampus cells found in some mammals
perform a more supporting role in the formation of place fields, such as path integration input. Another non-spatial explanation of hippocampal function suggests
Place_cell
Operation in mathematical calculus
computing an integral, called integration, is one of the two fundamental operations of calculus, along with differentiation. Integration was initially used to
Integral
Means of calculating position
by which animals update their estimates of position or heading, is path integration. Advances in navigational aids that give accurate information on position
Dead_reckoning
Continuous (non-quantized) quantities in quantum information science
is naturally expressed in continuous terms is path integration. The general technique of path integration has numerous applications including quantum mechanics
Continuous-variable quantum information
Continuous-variable_quantum_information
Mental representation of information
of path integration, actually playing the role of the path integrator while place cells display the output of the information gained through path integration
Cognitive_map
Type of neuron
olfactory, or tactile cues, by integrating their movements—the ability to do this is referred to in the literature as path integration. A number of theoretical
Grid_cell
Integration over the space of functions
in the path integral formulation to the quantum mechanics of particles and fields. While the term suggests an extension of ordinary integration, the lack
Functional_integration
Inferring the speed and direction of objects
olfactory, or tactile cues, by integrating their movements—the ability to do this is referred to in the literature as path integration. A number of theoretical
Motion_perception
Iranian-Turkish physicist
guidance of Bryce DeWitt in 1994, with the dissertation Supersymmetry, Path Integration, and the Atiyah-Singer Index Theorem. Since 2007, he's been an executive
Ali_Mostafazadeh
Computer graphics method
Carlo integration, but often in path tracing, there are multiple alternative PDFs that can be used. For example, this can occur when integrating a function
Path_tracing
Extension of Laplace's method for approximating integrals
the method of steepest descent deforms the contour of integration C into a new path integration C′ so that the following conditions hold: C′ passes through
Method_of_steepest_descent
Species of spider
wolf-spider Lycosa tarentula (Araneae, Lycosidae) needs visual input for path integration" (PDF). Journal of Arachnology. 30 (3): 481–486. doi:10
Agelena_labyrinthica
Method of evaluating certain integrals along paths in the complex plane
complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane. Contour integration is used to study complex-valued
Contour_integration
Term in navigation research
Idiothetic cues are important for the type of navigation known as path integration in which subjects navigate purely using such self-motion cues. This
Idiothetic
Species of burrowing mantis shrimp
return to their burrows after resource collection, mantis shrimp use path integration to navigate back to their burrows. This entails N. oerstedii monitoring
Neogonodactylus_oerstedii
Definite integral of a scalar or vector field along a path
where the function to be integrated is evaluated along a curve. The terms path integral, curve integral, and curvilinear integral are also used; contour
Line_integral
Type of neuron involved in spatial processing
(2015-05-14). "Neural dynamics for landmark orientation and angular path integration". Nature. 521 (7551): 186–191. Bibcode:2015Natur.521..186S. doi:10
Head_direction_cell
Pictorial representation of the behavior of subatomic particles
defines the new type of Gaussian integration appropriate for Fermi fields. The two fundamental formulas of Grassmann integration are: ∫ e M i j ψ ¯ i ψ j D
Feynman_diagram
Topics referred to by the same term
curve used in complex analysis Functional integration, the integral of a functional over a space of curves Path integral formulation, Richard Feynman's
Path_integral
Combining data from multiple sources
data integration research concerns the semantic integration problem. This problem addresses not the structuring of the architecture of the integration, but
Data_integration
Method in computational chemistry
thermodynamic integration, the free energy difference is calculated by defining a thermodynamic path between the states and integrating over ensemble-averaged
Thermodynamic_integration
Snake-like curve
landscape due to the natural shape, which allows convenient garden-path integration. A serpentine street is a winding roadway sometimes used to slow traffic
Serpentine_shape
Inability to orient oneself in one's surroundings
[citation needed] Getting lost Grid cells Head direction cells Navigation Path integration Place cells Aguirre GK, D'Esposito M (September 1999). "Topographical
Topographical_disorientation
Carpenter ant endemic to Southern Africa
venom gland. When returning from foraging, the Karoo balbyter uses path integration along with landmark navigation to find its way back to the nest. Foraging
Camponotus_fulvopilosus
Electronic circuit formed on a small, flat piece of semiconductor material
"small-scale integration" (SSI), "medium-scale integration" (MSI), "very-large-scale integration" (VLSI), and "ultra-large-scale integration" (ULSI). The
Integrated_circuit
Probabilistic algorithms to simulate quantum many-body systems
Schrödinger equation relies on the numerical solving of Feynman–Kac path integration problems. There are several quantum Monte Carlo methods, each of which
Quantum_Monte_Carlo
Coastal long-distance footpath in north-west Wales
Wales, the path opened in 2006, though it has since been changed and improved. This work is continuing as part of the path's integration into the Wales
Llŷn_Coastal_Path
functional integration the sum of functionals is taken over a space of functions. For each function the functional returns a value to add up. Path integrals
Path integrals in polymer science
Path_integrals_in_polymer_science
American psychologist
Kelly, J. W., Fiete, I. R., & McNamara, T. P. (2015). Bias in human path integration is predicted by properties of grid cells. Current Biology, 25 (13)
Timothy_P._McNamara
Description of a system using mathematical concepts and language
Whishaw, I. Q.; Hines, D. J.; Wallace, D. G. (2001). "Dead reckoning (path integration) requires the hippocampal formation: Evidence from spontaneous exploration
Mathematical_model
Maoist communist party in Peru
The Shining Path (Spanish: Sendero Luminoso, SL), officially the Communist Party of Peru–Shining Path (Spanish: Partido Comunista de Perú-Sendero Luminoso
Shining_Path
Differential equations involving stochastic processes
be obtained by Monte Carlo simulation. Other techniques include the path integration that draws on the analogy between statistical physics and quantum mechanics
Stochastic differential equation
Stochastic_differential_equation
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)
Genus of crustaceans
shrimp, homing to burrow is via a combination of path integration and landmark recognition. Path integration ensures a direct home return by measuring distance
Neogonodactylus
Improvised footpath created by frequent trampling
A desire path (also known as desire line in transportation planning and by many other names) is an unplanned small trail formed by erosion caused by human
Desire_path
Species of ant
completed a trip and had no internal path integration stored in memory. Researchers removed these ants from their path and found the ants who were still
Formica_japonica
Romanian-American software company
UiPath Inc. is a global software company that develops artificial intelligence (AI) and agentic automation and orchestration software. The company's software
UiPath
Subfield of computer science and mathematics
using chain rule, polynomial factorization, indefinite integration, etc. Very-large-scale integration (VLSI) is the process of creating an integrated circuit
Theoretical_computer_science
|work= ignored (help) Rowan, John. "Primal Integration Part 2: Practice". IPA. Retrieved 17 October 2011. Integration[permanent dead link] Article by John Rowan
Primal_Integration
Understanding of gas properties in terms of molecular motion
du/dy} can be considered to be constant over a distance of mean free path. Integrating over all appropriate velocities within the constraint v > 0 {\displaystyle
Kinetic_theory_of_gases
Walkway network and mall in Ontario, Canada
The Path (stylized in all caps) is a network of underground pedestrian tunnels, elevated walkways, and at-grade walkways connecting the office towers of
Path_(Toronto)
Dutch theoretical physicist
Curved Spaces: Functional Integration and the Quantum Action Principle in Riemannian Geometries, in "Functional Integration: Theory and Applications"
Hans_Dekker
Computer graphics techniques for reusing samples during rendering
the image). Versions for path tracing apply transformations called shift mappings to samples, typically reusing parts of paths closer to the light and
Spatiotemporal reservoir resampling
Spatiotemporal_reservoir_resampling
Quantum-mechanical framework for simulating molecules and solids
introduced through an action based on the Keldysh formalism of complex-time path integration. An alternative resolution of the causality paradox through a refinement
Time-dependent density functional theory
Time-dependent_density_functional_theory
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
Non-profit organization
Critical Path Institute (C-Path) is a nonprofit organization created to improve the drug development process; its consortia include more than 1,600 scientists
Critical_Path_Institute
Short "burst" or "envelope" of restricted wave action that travels as a unit
of Gaussians. From the fundamental identity of exponentiation, or path integration, K z ∗ K z ′ = K z + z ′ {\displaystyle K_{z}*K_{z'}=K_{z+z'}\,} holds
Wave_packet
Opt-out mechanism for states on EU policies
states who have gone far in the integration process with peripheral states who have engaged much less in integration. In À La Carte DI, states can choose
Differentiated_integration
managing demand and making current practices more efficient. The soft path integrates both supply and demand concepts but in a broader context by recognizing
Soft_water_path
Method of software testing of internal structure
is used for integration and system testing more frequently today. It can test paths within a unit, paths between units during integration, and between
White-box_testing
Function in quantum field theory showing probability amplitudes of moving particles
in the back.) Schulman, L. S. (1981). Techniques & Applications of Path Integration. New York: John Wiley & Sons. ISBN 0-471-76450-7. Scharf, G. (1995)
Propagator
Species of ant
follow irregular paths while they forage, but will follow a straight path home when finished. They do this by a process called path integration where they analyze
Formica_cunicularia
American neuroscientist
1996). "Deciphering the Hippocampal Polyglot: the hippocampus as a path integration system". Journal of Experimental Biology. 199 (1): 173–185. doi:10
William_E._Skaggs
American psychologist
Eichenbaum H, Hasselmo ME. (2013) Hippocampal "time cells": time versus path integration. Neuron. 78(6):1090-101. Eichenbaum H (2013) Memory on time. Trends
Howard_Eichenbaum
Human ability to detect surroundings using sounds
Griffin where bats, despite continuing to emit echolocation calls, use path integration in familiar acoustic space. Scadden said he did the same, as echolocation
Human_echolocation
Sentence that starts in a way that a reader's likely interpretation will be wrong
A garden-path sentence is a grammatically correct sentence that starts in such a way that a reader's most likely interpretation will be incorrect; the
Garden-path_sentence
and eliminating waste as a sustainable data integration and system integration practice. Lean integration has parallels with other lean disciplines such
Lean_integration
Danish neuroscientist
P.; Jensen, Ole; Moser, Edvard I.; Moser, May-Britt (2006–2008). "Path integration and the neural basis of the 'cognitive map'". Nature Reviews Neuroscience
Ole_Jensen_(neuroscientist)
Testing a complete system with multiple components
execution (all nominal and exceptional paths), and including a full functional check-out." Following integration, system test is a process of "verifying
System_integration_testing
Type of recurrent dynamical network
McNaughton BL, Battaglia FP, Jensen O, Moser EI, Moser MB (August 2006). "Path integration and the neural basis of the "cognitive map"". Nat. Rev. Neurosci. 7
Attractor_network
Construction in algebraic geometry
algebraic geometry, the Jacobian of a curve C is constructed using path integration. Namely, suppose C has genus g, which means topologically that H 1
Abel–Jacobi_map
German physicist and historian
"Remarks on the origin of path integration: Einstein and Feynman by Tilman Sauer". In Janke, Wolfhard; Pelster, Axel (eds.). Path Integrals—New Trends and
Tilman_Sauer
American physicist
2020-04-26. Burak, Yoram; Fiete, Ila R. (February 2009). "Accurate path integration in continuous attractor network models of grid cells". PLOS Computational
Ila_Fiete
Online action role-playing game
Path of Exile is a 2013 free-to-play action role-playing video game developed and published by Grinding Gear Games. Following an open beta phase, the game
Path_of_Exile
Neural oscillatory pattern
S2CID 15410690. Buzsáki, G (2005). "Theta rhythm of navigation: link between path integration and landmark navigation, episodic and semantic memory". Hippocampus
Theta_wave
Chinese Communist Party slogan
civilization". Sinicization of Marxism Two Creates "The "Two Integrations": the Only Path and Strongest Assurance for Our Success". Qiushi. Retrieved 2025-03-30
Two_Integrations
Type of Monte Carlo algorithms for signal processing and statistical inference
Hetherington in 1984. In computational physics, these Feynman-Kac type path particle integration methods are also used in Quantum Monte Carlo, and more specifically
Particle_filter
American-Israeli physicist (born 1941)
published Techniques and Applications of Path Integration, from which many physicists learned about Feynman's path integral and its many applications. The
Lawrence_Schulman
American academic
investigations into whether physically large displays can improve path integration in 3D virtual navigation tasks were conducted. He explored collaborative
Darren_Gergle
Water maze used in rodent experiments
component of egocentric navigation, that is, path integration, where a rat can learn a direct or short-cut path from the start to the goal as animals can
Cincinnati_Water_Maze
Roboticist
Adden; et al. (4 October 2017). "An Anatomically Constrained Model for Path Integration in the Bee Brain". Current Biology. 27 (20): 3069-3085.e11. doi:10
Barbara_Webb
Topological structure in loop quantum gravity
faces representing a configuration required by functional integration to obtain a Feynman's path integral description of quantum gravity. These structures
Spin_foam
of an expandable polymer triggered by the flow to close the flow path. Integration of microfluidic platforms and electronic components have the potential
Paper-based_microfluidics
Memory about one's environment and spatial orientation
representation in the brain to be used for path integration. The entorhinal cortex contributes to the processing and integration of geometric properties and information
Spatial_memory
Type of two-dimensional quasiparticle
Schulman, L. S. (February 1981). Techniques and Applications of Path Integration. Dover Publications. ISBN 0-471-76450-7. Camino, Fernando E.; Zhou
Anyon
Theory of cognition
artificial intelligence, conceptual blending, also called conceptual integration or view application, is a theory of cognition developed by Gilles Fauconnier
Conceptual_blending
target level of maturity and a transformation path from initial to target level. The Service Integration Maturity Model (SIMM) helps an organization create
Service Integration Maturity Model
Service_Integration_Maturity_Model
Acquisition, organization, and use of knowledge about spatial environments
(1993). "Nonvisual navigation by blind and sighted: Assessment of path integration ability". Journal of Experimental Psychology: General. 122 (1): 73–91
Spatial_cognition
the dorsal tegmental nucleus of gudden in the rat: implications for path integration in the head direction cell circuit". Behav Neurosci. 115 (3): 571–88
Dorsal_tegmental_nucleus
Theory of European integration
European integration put forward by Liesbet Hooghe and Gary Marks in 2008. It is in opposition to the previous two main theories of European integration—neofunctionalism
Postfunctionalism
Computer graphics rendering method
calculate because it needs an integration over all paths in the scene that consist of radiance. Therefore, thousands of paths need to be traced to achieve
Volumetric_path_tracing
Circuit component performing mathematical integration
integrator is an electronic integration circuit. Based on the operational amplifier (op-amp), it performs the mathematical operation of integration with
Op_amp_integrator
Integration for Grassmann variables
known as Grassmann integral, after Hermann Grassmann) is a way to define integration for functions of Grassmann variables (elements of the exterior algebra)
Berezin_integral
Biology database
The ConsensusPathDB is a molecular functional interaction database, integrating information on protein interactions, genetic interactions signaling, metabolism
ConsensusPathDB
Islamic term meaning 'the straight path'
both worldliness and extreme asceticism. The straight path is characterized by the integration of the outward aspects of religious law with the inner
Sirat_al-Mustaqim
American theoretical physicist (born 1949)
onto classical ring polymers but also created the algorithms to make path integration a precise calculational tool to compare theory with experiment. This
David_Ceperley
American neuroscientist
Hasselmo, Michael E. (June 2013). "Hippocampal "Time Cells": Time versus Path Integration". Neuron. 78 (6): 1090–1101. doi:10.1016/j.neuron.2013.04.015. PMC 3913731
Michael_Hasselmo
Microsoft Office suite application to design rich XML-based forms
Studio is required to use with each version of InfoPath. SharePoint integration (see Integration with SharePoint). User roles can customize a user's
Microsoft_InfoPath
Adoption of features of another culture
rhetoric of cultural assimilation to cultural integration. In contrast to assimilationism, integration aims to preserve the roots of a minority society
Cultural_assimilation
American psychologist
(1993). "Nonvisual navigation by blind and sighted: Assessment of path integration ability". Journal of Experimental Psychology: General. 122 (1): 73–91
Roberta_Klatzky
Term used in Hermeticism
of the philosopher's stone, represents the culmination of the spiritual path, the attainment of enlightenment, or the rescue of the human soul from the
Great_Work_(Hermeticism)
On finding a maximal set of solutions of a system of first-order homogeneous linear PDEs
manifolds correspond in some sense to constants of integration. Once one of these constants of integration is known, then the corresponding solution is also
Frobenius theorem (differential topology)
Frobenius_theorem_(differential_topology)
Generalization of the hypergeometric function
converges for more than one of these paths, the results of integration can be shown to agree; if it converges for only one path, then this is the only one to
Meijer_G-function
Refinement of ray tracing that allows for the rendering of "soft" phenomena
also called "stochastic ray tracing". Path tracing is a rendering technique that combines all of these integration domains into a single, high-dimensional
Distributed_ray_tracing
Italian radical-right philosopher and esotericist (1898–1974)
In 1922, at 23 years old, he considered suicide, he wrote in The Cinnabar Path, but was saved by a revelation while reading an early Buddhist text on shedding
Julius_Evola
Power series with negative powers
{1}{2\pi i}}\oint _{\gamma }{\frac {f(z)}{(z-c)^{n+1}}}\,dz.} The path of integration γ {\displaystyle \gamma } is counterclockwise around a Jordan curve
Laurent_series
PATH INTEGRATION
PATH INTEGRATION
Female
English
Short form of English Katherine, KATH means "pure."
Boy/Male
Indian
Victory
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
Female
English
English short form of French Catherine, CATH means "pure."
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.
Girl/Female
Australian, British, English
Way
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
Muslim/Islamic
Correct path Straight path
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
Boy/Male
Arabic, Modern
Road; The 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
Arabic, Australian, Muslim
Correct Path; Straight Path
Male
English
English unisex short form of English Patrick and Latin Patricia, PAT means "patrician; of noble birth."
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
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
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.
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
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’.
PATH INTEGRATION
PATH INTEGRATION
Girl/Female
American, British, English, French
Joyous; Medieval Male Name Adopted as a Feminine Name
Female
Finnish
Finnish myth name of a sprite, possibly TERHENETÄR means "acorn."
Girl/Female
Arabic, Christian, Hindu, Indian, Marathi, Muslim, Sindhi, Tamil
Princess
Boy/Male
American, Australian, British, English, French, German, Teutonic
Bright; Industrious
Girl/Female
Hindu
Affection, Preeti, Motherly Love
Girl/Female
Tamil
Goddess Saraswati
Girl/Female
Tamil
Sweet person, Sweet, Surgery
Male
Native American
Native American Hopi name PIVANE means "weasel."
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Lord Krishna
Girl/Female
Tamil
Angarika | அஂகாரிகா
Flame colored flower, Palash, Flame of the forest
PATH INTEGRATION
PATH INTEGRATION
PATH INTEGRATION
PATH INTEGRATION
PATH INTEGRATION
n.
A small piece of anything used to repair a breach; as, a patch on a kettle, a roof, etc.
v. t.
To mend by sewing on a piece or pieces of cloth, leather, or the like; as, to patch a coat.
n.
Way; track; path.
v. t.
To make a path in, or on (something), or for (some one).
imp. & p. p.
of Path
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.
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.
pr.p. & vb. n.
of Path
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.
A towing path.
v. t.
To mend with pieces; to repair with pieces festened on; to repair clumsily; as, to patch the roof of a house.
adv.
In a pat manner.
n.
Way; road; path.
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.
Fig.: Anything regarded as a patch; a small piece of ground; a tract; a plot; as, scattered patches of trees or growing corn.
v. t.
To adorn, as the face, with a patch or patches.