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Procedure of ordering a product operators
In theoretical physics, path-ordering is the procedure (or a meta-operator P {\displaystyle {\mathcal {P}}} ) that orders a product of operators according
Path-ordering
Total order in computer science
any term containing only symbols smaller than f. A path ordering is often used as reduction ordering in term rewriting, in particular in the Knuth–Bendix
Path ordering (term rewriting)
Path_ordering_(term_rewriting)
Concept in non-equilibrium physics
{\displaystyle X(t_{1})=X(t_{2})} ). Then we can introduce notation of path ordering on this contour, by defining T c ( X ( 1 ) ( c 1 ) X ( 2 ) ( c 2 ) …
Keldysh_formalism
Node ordering for directed acyclic graphs
computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge
Topological_sorting
Directed graph with no directed cycles
topological orderings. In general, this ordering is not unique; a DAG has a unique topological ordering if and only if it has a directed path containing
Directed_acyclic_graph
Dichotomy between two opposing approaches to magic
In Western esotericism, left-hand path and right-hand path are two opposing approaches to magic. Various groups engaged with the occult and ceremonial
Left-hand path and right-hand path
Left-hand_path_and_right-hand_path
Topics referred to by the same term
of the St. Petersburg Philharmonic Orchestra Lexicographic path ordering, a well-ordering in term rewriting (computer science) Libertarian Party of Ohio
LPO
Buddhist practices leading to liberation from saṃsāra
The Noble Eightfold Path (Sanskrit: आर्याष्टाङ्गमार्ग, romanized: āryāṣṭāṅgamārga) or Eight Right Paths (Sanskrit: अष्टसम्यङ्मार्ग, romanized: aṣṭasamyaṅmārga)
Noble_Eightfold_Path
Topics referred to by the same term
Philharmonic Orchestra, an orchestra in London, England Recursive path ordering, a well-ordering in term rewriting (computer science) Rendezvous and proximity
RPO
Formulation of quantum mechanics
they have no obvious ordering. Feynman discovered that the non-commutativity is still present. To see this, consider the simplest path integral, the brownian
Path-integral_formulation
Representation of a graph as a path graph "thickened" by some amount
linear ordering of G one may derive an interval representation in which the left endpoint of the interval for a vertex v is its position in the ordering and
Pathwidth
Generalisation of the exponential integral to non-commutative algebras
dt\right)e(x)} with the path-ordering operator P {\displaystyle \operatorname {P} } that orders factors in order of the path γ ( t ) ∈ M {\displaystyle
Ordered_exponential
Israeli computer scientist
computer scientist, known e.g. for the Dershowitz–Manna ordering and the multiset path ordering used to prove termination of term rewrite systems. He obtained
Nachum_Dershowitz
Lattice gauge theory action
vector in the μ {\displaystyle \mu } direction. Since to first order the path ordering operator drops out, the link is related to the discretized gauge
Wilson_action
Computational problem of graph theory
2025-08-11. Dial, Robert B. (1969). "Algorithm 360: Shortest-Path Forest with Topological Ordering [H]". Communications of the ACM. 12 (11): 632–633. doi:10
Shortest_path_problem
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)
Problem of finding a cycle through all vertices of a graph
triangle. This ordering exists if the dual graph of the triangular mesh contains a Hamiltonian path. Media related to Hamiltonian path problem at Wikimedia
Hamiltonian_path_problem
divergence, infrared fixed point Ultraviolet divergence Fermi's interaction Path-ordering Landau pole Higgs mechanism Wilson line Wilson loop Tadpole (physics)
List of mathematical topics in quantum theory
List_of_mathematical_topics_in_quantum_theory
Large countable ordinal
than Γ0. Any recursive path ordering whose function symbols are well-founded with order type less than that of Γ0 itself has order type less than Γ0. Gaisi
Feferman–Schütte_ordinal
Hamburg, Rostock and Seelze (Hanover), transportation by train, including path ordering, spot hire and one-off locomotive hire. HSL also operates traffic in
HSL_Logistik
Maoist communist party in Peru
The Shining Path (Spanish: Sendero Luminoso, SL), officially the Communist Party of Peru (Partido Comunista del Perú, abbr. PCP), is a far-left political
Shining_Path
Topics referred to by the same term
Multi-fiber Push-On, a type of optical fiber connector Multiset path ordering, a well-ordering in term rewriting (computer science) Matrix Product Operator
MPO
Algorithm to search the nodes of a graph
path out of a maze, and later developed by C. Y. Lee into a wire routing algorithm (published in 1961). The below pseudocode finds the shortest path from
Breadth-first_search
Algorithm for finding shortest paths
ISBN 0-262-03293-7. Dial, Robert B. (1969). "Algorithm 360: Shortest-path forest with topological ordering [H]". Communications of the ACM. 12 (11): 632–633. doi:10
Dijkstra's_algorithm
Problem of finding the longest simple path for a given graph
given DAG, the length of the longest path ending at v may be obtained by the following steps: Find a topological ordering of the given DAG. For each vertex
Longest_path_problem
Prioritizing promising moves for speed
move ordering were introduced. The use of iterative deepening was rediscovered in chess programs and found to significantly improve move ordering for deeper
Move_ordering
Special case of the perfect graphs in graph theory
four-vertex induced path, they cannot violate the path-ordering requirement on a perfect ordering. Several additional classes of perfectly orderable graphs are
Perfectly_orderable_graph
Computer graphics method
Path tracing is a rendering algorithm in computer graphics that simulates how light interacts with objects and participating media to generate realistic
Path_tracing
French computer scientist (born 1947)
468–487. Jouannaud, J.-P.; Rubio, A. (1996). "A Recursive Path Ordering for Higher-Order Terms in eta-Long beta-Normal Form". In Harald Ganzinger (ed
Jean-Pierre_Jouannaud
Computer environment variable
PATH is an environment variable on Unix-like operating systems, DOS, OS/2, and Microsoft Windows, specifying a set of directories where executable programs
PATH_(variable)
pre-topological order or pre-topological ordering of a directed graph is a linear ordering of its vertices such that if there is a directed path from vertex
Pre-topological_order
Specific operation in theoretical physics
specific operation over a combination of operators, as in the example of path-ordering. A meta-operator is generally neither an operator (a linear transform
Meta-operator
Algorithm to search the nodes of a graph
v_{n})} be the ordering computed by the standard recursive DFS algorithm. This ordering is called the lexicographic depth-first search ordering. John Reif
Depth-first_search
User behavior journey in virtual space
A click path or clickstream is the sequence of hyperlinks one or more website visitors follows on a given site, presented in the order viewed.[citation
Click_path
Example of topological space
plane such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. The lexicographical ordering gives a total ordering ≺ {\displaystyle \prec } on the points in the unit square:
Lexicographic order topology on the unit square
Lexicographic_order_topology_on_the_unit_square
Mathematical concept for comparing objects
In mathematics, specifically order theory, a well-quasi-ordering or wqo on a set X {\displaystyle X} is a quasi-ordering of X {\displaystyle X} for which
Well-quasi-ordering
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
Delivery of data packets in a different order from which they were sent
packet ordering is preserved. One of the functions of TCP is to prevent the out-of-order delivery of data, either by reassembling packets in order or requesting
Out-of-order_delivery
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)
American computer scientist
accomplishments in theorem proving include work on the recursive path ordering, the associative path ordering, abstraction, the simplified and modified problem reduction
David_Plaisted
Order of Sufism
"way, path" is to be understood in connection of the term sharia which also has the meaning of "path", more specifically "well-trodden path; path to the
Tariqa
Football tournament qualification stage
in Champions Path and 11 teams in League Path. The seven winners in the play-off round (five from Champions Path, two from League Path) advanced to the
2025–26 UEFA Champions League qualifying
2025–26_UEFA_Champions_League_qualifying
Phase of a cycle
}\tau ^{\mu }\,dR_{\mu }}} (here P ^ {\displaystyle {\hat {P}}} is a path-ordering symbol). It can be shown that once M {\displaystyle M} is large enough
Geometric_phase
Replacing subterm in a formula with another term
Rewrite order and Path ordering (term rewriting) for ordering relations used in termination proofs for term rewriting systems. Higher-order rewriting
Rewriting
Indian religion and philosophy
the West in the 20th century. According to tradition, the Buddha taught a path of cultivation that leads to awakening and liberation from dukkha (often
Buddhism
Mathematical set with an ordering
contained in some total order. Stochastic dominance – Partial order between random variables Strict weak ordering – strict partial order "<" in which the relation
Partially_ordered_set
constraint problem with an ordering of the variables that makes the ordered graph of constraint having width 1. Such an ordering exists if and only if the
Local_consistency
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
Undirected, connected, and acyclic graph
anti-arborescence or in-tree. The tree-order is the partial ordering on the vertices of a tree with u < v only if the unique path from the root to v passes through
Tree_(graph_theory)
Order of religious men and women
the spiritual path taken by many saints, blesseds, and other holy men and women throughout the 800-year history of the Dominican Order. The life of a
Third_Order_of_Saint_Dominic
In applied mathematics, a technique to find the shortest path
contraction hierarchies is a speed-up technique for finding the shortest path in a graph. The most intuitive applications are car-navigation systems: a
Contraction_hierarchies
Theory of quantum gravity merging quantum mechanics and general relativity
parameter along the curve, P {\displaystyle {\mathcal {P}}} denotes path ordering meaning factors for smaller values of s {\displaystyle s} appear to
Loop_quantum_gravity
Algorithm for finding the shortest paths in graphs
of a shortest path strictly alternate between the two subsets Ef and Eb) very unlikely to happen. With a randomly permuted vertex ordering, the expected
Bellman–Ford_algorithm
Trail in a graph that visits each edge once
PMC 55524. PMID 11504945. Roy, Kuntal (2007). "Optimum Gate Ordering of CMOS Logic Gates Using Euler Path Approach: Some Insights and Explanations". Journal of
Eulerian_path
2010s American drama TV series
2015, with a straight 10-episode order, and debuted on March 30, 2016. Its original title, The Way, was changed to The Path in September 2015, due to its
The_Path_(TV_series)
Port Authority Trans-Hudson rail station
Street PATH station handicapped-accessible", The Jersey Journal "United Spinal Association Secures Judgment Ordering Port Authority to Make PATH Train
Grove_Street_station_(PATH)
Mathematical system of orderings or sets
convex set. Perfect elimination A perfect elimination ordering of a chordal graph is an ordering of its vertices such that, for each vertex v {\displaystyle
Antimatroid
Welsh serial killer (born 1944)
take their last walk along the coastal path but failed to return. Their dead bodies were later found along the path. Cooper had tied the couple up, demanded
John_Cooper_(serial_killer)
non-optimal vertex ordering, the path is not well-colored. A graph is well-colored if and only if does not have two vertex orderings for which the greedy
Well-colored_graph
Satanic and left-hand path occultist group
The Order of Nine Angles (ONA or O9A) is a Satanic left-hand path network that originated in the United Kingdom, but has since branched out into other
Order_of_Nine_Angles
reflexive rewrite relation that contains the subterm ordering is called a simplification ordering. The converse, the symmetric closure, the reflexive closure
Rewrite_order
Well-quasi-ordering of finite trees
1016/0168-0072(91)90022-E. MR 1129778. Kruskal, J. B. (May 1960). "Well-Quasi-Ordering, The Tree Theorem, and Vazsonyi's Conjecture" (PDF). Transactions of the
Kruskal's_tree_theorem
Hiking trail on the England coast
The King Charles III England Coast Path (KCIIIECP), originally and still commonly known as the England Coast Path, is a long-distance National Trail that
King Charles III England Coast Path
King_Charles_III_England_Coast_Path
Sufi order in Islam
(remembrance of God). Dervish is a common term for an initiate of the Sufi path; whirling is part of the formal sema ceremony and the participants are properly
Mevlevi_Order
3D rendering notation
way. Different light path types are distinguished by the order in which they intersect diffuse or specular surfaces. The light path notation was introduces
Light_Path_Notation
Data structure for Boolean functions
operations. Variable ordering needs to be considered afresh; what may be a good ordering for (some of) the set of BDDs may not be a good ordering for the result
Binary_decision_diagram
Closed vector path, or shape
clipping path (or "deep etch") is a closed vector path, or shape, used to cut out a 2D image in image editing software. Anything inside the path will be
Clipping_path
Set of technologies
The Protected Media Path is a set of technologies creating a "Protected Environment," first included in Microsoft's Windows Vista operating system, that
Protected_Media_Path
Presence/absence of symmetry or correlation in a many-particle system
magnetic order. The degree of freedom that is ordered or disordered can be translational (crystalline ordering), rotational (ferroelectric ordering), or a
Order_and_disorder
American screenwriter and director
Was Shot, Falcon Crest, Into the West, and the controversial docudrama The Path to 9/11. He has also directed the theatrical features The Stoning of Soraya
Cyrus_Nowrasteh
Catholic lay religious order
membership, including officers, required proof of noble lineage. More recently, a path was created for Knights and Dames of the lowest class (of whom proof of aristocratic
Sovereign Military Order of Malta
Sovereign_Military_Order_of_Malta
1998 Japanese film
Serpent's Path (Japanese: 蛇の道, Hepburn: Hebi no michi) is a 1998 Japanese crime thriller film directed by Kiyoshi Kurosawa, and written by Hiroshi Takahashi
Serpent's_Path_(1998_film)
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)
Linked node hierarchical data structure
of one or more disjoint trees. Ordered tree A rooted tree in which an ordering is specified for the children of each vertex. Size of a tree Number of
Tree_(abstract_data_type)
Mountain in Snowdonia, Wales
Kingdom", and in 2022 it was climbed by 543,541 walkers. There are six main paths to the summit, the most popular of which begins in the village of Llanberis
Snowdon
American actress (born 1976)
nomination for a Golden Globe Award. She has also starred in the drama series The Path (2016–2018), the miniseries Echoes (2022), and the third season of the anthology
Michelle_Monaghan
European football tournament
have entered the Champions Path of the qualifying phase or play-off round, entered the league phase instead of the Champions Path second qualifying round
2025–26_UEFA_Champions_League
Characterizes the height of any finite partially ordered set
(k + 1)-vertex path graph to G. For, the largest path graph that has a homomorphism to G gives the longest chain in the reachability ordering, and the sets
Mirsky's_theorem
Diagram used in various mystical traditions
especially in Kabbalah, to describe divine structure, creation, and the spiritual path of ascent. It is usually referred to as the "kabbalistic tree of life" to
Tree_of_life_(Kabbalah)
Concurrency control technique for databases
Commitment ordering (CO; Raz 1990, 1992, 1994, 2009) schedule property has been referred to also as Dynamic atomicity (since 1988), commit ordering, commit
Commitment_ordering
computable well-ordering, then f ( e ) {\displaystyle f(e)} is a member of O {\displaystyle {\mathcal {O}}} and < e {\displaystyle <_{e}} is order-isomorphic
Kleene's_O
Sufi order
of the Tariqa Alawiyya. Every spiritual path comprises a doctrine and a method. Those of the Maryamiyya Order may be summed up in two words: religio perennis
Maryamiyya_Order
Computer network protocol to determine the maximum size of packets to transmit
Path MTU Discovery (PMTUD) is a standardized technique in computer networking for determining the maximum transmission unit (MTU) size on the network path
Path_MTU_Discovery
Destiny 2". Archived from the original on August 31, 2011. "GameSpot: Naruto: Path of the Ninja". GameSpot. Archived from the original on April 25, 2023. Retrieved
List_of_Naruto_video_games
Graph where all long cycles have a chord
the chordal graphs that contain it. A perfect elimination ordering in a graph is an ordering of the vertices of the graph such that, for each vertex v
Chordal_graph
Group of American animated television series
May 2022. It explores Jedi from the prequel trilogy era and follows two "paths", one focused on Ahsoka Tano (voiced by Ashley Eckstein) and the other on
Star Wars Tales (TV anthology)
Star_Wars_Tales_(TV_anthology)
Political party in Turkey
The National Path Party (Turkish: Milli Yol Partisi; MİLLİ YOL) is a Turkish nationalist and national conservative political party in Turkey. A group within
National_Path_Party
Concept in Buddhist cosmology
The Six Paths in Buddhist cosmology are the six worlds where sentient beings are reincarnated based on their karma, which is linked to their actions in
Six_Paths
American poet and writer (1932–1963)
father's grave later prompted Plath to write the poem "Electra on Azalea Path". After Otto's death, Aurelia moved her children and her parents to 26 Elmwood
Sylvia_Plath
European club football competition
second qualifying round (Champions Path) so one transferred team received a bye to the third qualifying round (Champions Path). As the Champions League title
2025–26 UEFA Conference League
2025–26_UEFA_Conference_League
Organization in the Star Wars franchise
prepared to battle the Jedi who boarded his flagship, Malak betrayed him, ordering the ships under his command to fire on Revan's flagship's bridge so that
Sith
Graph with nodes connected linearly
mathematical field of graph theory, a path graph (or linear graph) is a graph whose vertices can be listed in the order v1, v2, ..., vn such that the edges
Path_graph
Cross-validation technique for time series and financial data
Each group contributes to five different backtest paths. The number in each cell indicates the path to which the group's result is assigned for that split
Purged_cross-validation
Biography series by Robert Caro
years. The series is published by Alfred A. Knopf. In the first volume, The Path to Power, Caro retraces Johnson's early life growing up in the Texas Hill
The_Years_of_Lyndon_Johnson
Routing algorithm for packet switched networks
A path-vector routing protocol is a network routing protocol which maintains the path information that gets updated dynamically. Updates that have looped
Path-vector_routing_protocol
European football tournament
two paths – the Champions Path and the Main Path. The Champions Path contained teams which were eliminated from the Champions League Champions Path, and
2025–26 UEFA Conference League qualifying
2025–26_UEFA_Conference_League_qualifying
German biobank
breast cancer research with high quality tumor tissue. In order to achieve this goal, PATH operates sample storage tanks with liquid nitrogen at seven
PATH_Biobank
Light rays follow quickest paths
wave optics. Fermat's principle states that the path taken by a ray between two given points is the path that can be traveled in the least time. First proposed
Fermat's_principle
possible orderings of its children, like a parallel composition of partial orders, while a Q node requires the children to occur in a fixed linear ordering, like
Series-parallel_partial_order
English rock band
contributed the original incidental music. Following in the path of Joy Division, New Order were also among the most successful artists on the Factory
New_Order_(band)
PATH ORDERING
PATH ORDERING
Boy/Male
Muslim
Correct path, Straight path
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."
Girl/Female
Australian, British, English
Way
Boy/Male
Indian
Victory
Female
Hebrew
(בַּתש×וּעַ) Variant spelling of Hebrew Bath-Shuwa, BATH-SHUA means "daughter of wealth."Â
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, Modern
Road; The Way
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’.
Surname or Lastname
English (mainly Devon)
English (mainly Devon) : variant of Pate 1.
Surname or Lastname
English (Bath)
English (Bath) : unexplained.
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
English
English short form of French Catherine, CATH means "pure."
Female
English
Short form of English Katherine, KATH means "pure."
Surname or Lastname
English (Bristol and Bath)
English (Bristol and Bath) : unexplained.
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.
Male
Irish
Short form of Irish Gaelic Parthalán, possibly PARTH means "son of Talmai."
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
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.
PATH ORDERING
PATH ORDERING
Surname or Lastname
English
English : variant of Lomax (see Loomis).
Girl/Female
Indian, Punjabi, Sikh
Of the Family of the God of Heaven; Successful and Charming Person
Female
Egyptian
, Bantanath.
Girl/Female
American, Australian, Christian, French, Latin
Yew Wood; Combination of the Popular Prefix La with Yvonne; Yew Tree
Boy/Male
Australian, Gaelic
Mountain
Girl/Female
Indian
Beautiful
Girl/Female
Celtic American
Fair, good-looking. Feminine of Allen or.
Male
Egyptian
, a priest of Apis.
Boy/Male
Anglo, Australian, British, Christian, English
Loyal One; True Man
Girl/Female
Indian
Cute; Lovely; Innocent
PATH ORDERING
PATH ORDERING
PATH ORDERING
PATH ORDERING
PATH ORDERING
imp. & p. p.
of 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.
v. t.
To make a path in, or on (something), or for (some one).
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.
n.
A towing 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.
pl.
of 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.
A small mass, as of butter, shaped by pats.
v. t.
To mend with pieces; to repair with pieces festened on; to repair clumsily; as, to patch the roof of a house.
n.
A small piece of anything used to repair a breach; as, a patch on a kettle, a roof, etc.
v. t.
To adorn, as the face, with a patch or patches.
pr.p. & vb. n.
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.
adv.
In a pat manner.
n.
Way; track; path.
n.
Way; road; path.