Cross-community vocabulary indexes

Page status: generated bidirectional vocabulary index; not a standards crosswalk.

This page is generated from vocabulary/vocabulary.toml. It does not declare community terms to be synonyms. Each row records a dominant relation class, an editorial usage status, a diagnostic question, and a route to the maintained definition. The conceptual introduction remains One network, five languages; the compact house definitions remain on the Terminology page. This page answers “how does a community phrase map to the house vocabulary?”; for claim, chapter, and verification retrieval, use the knowledge-base indexes.

The five target communities are indexed separately. Circuit theory is included after them as shared technical vocabulary rather than as a sixth audience route.

Relation and usage keys

The relation class describes the map between a community phrase and the house vocabulary. The usage status describes how the phrase may be used in this book. These axes are orthogonal.

Registry value	Reader-facing meaning
`exact_alias`	exact alias
`scoped_alias`	scoped alias
`broader_narrower`	broader / narrower
`representation_dependent`	representation dependent
`false_friend`	false friend
`preferred_house_term`	preferred house term
`accepted_qualified_shorthand`	accepted qualified shorthand
`unsafe_unqualified_term`	unsafe unqualified term

Community-to-book index

Power engineering

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`bus`; `node`; `terminal`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`line`; `branch`; `circuit`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`device model`; `power factor`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`network graph`; `topology`; `one-line`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`from bus`; `to bus`; `upstream`; `downstream`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`power flow`; `line flow`; `branch current`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`parallel lines`; `physically parallel lines`; `double circuit`; `shared right of way`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`mutual impedance`; `mutually coupled lines`; `joint line model`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`radial feeder`; `mesh`; `loop`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`system state`; `operating state`; `switch state`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`rating`; `thermal limit`; `emergency rating`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`equivalent circuit`; `network equivalent`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`network reduction`; `equivalencing`; `aggregation`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`per-unit normalization`; `base conversion`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`line loss`; `network loss`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`ground`; `earth`; `neutral`; `solidly grounded`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`phase`; `phase conductor`; `positive sequence`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`Y-bus`; `bus admittance matrix`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Software and network data

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`equipment`; `terminal`; `connectivity node`; `topological node`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`conducting equipment`; `branch record`; `terminal pair`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`component model`; `equipment model`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`node-breaker topology`; `bus-branch topology`; `connectivity graph`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`terminal 1`; `terminal 2`; `from`; `to`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`from-end flow`; `to-end flow`; `measurement`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`duplicate endpoint pair`; `parallel equipment records`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`MutualCoupling`; `line coupling`; `mutual impedance record`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`radial topology`; `island`; `loop`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`status`; `profile`; `state variable`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`normal amps`; `limit set`; `operational limit`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`equivalent model`; `round trip`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`conversion`; `topology processing`; `compilation`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`schema normalization`; `canonical ordering`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`data loss`; `loss of provenance`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`node 0`; `ground bus`; `neutral terminal`; `reference bus`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`phase code`; `terminal number`; `conductor order`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`Ybus`; `system Y matrix`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Mathematical modelling and optimization

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`node`; `variable block`; `index`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`branch`; `arc`; `relation`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`constraint relation`; `factor`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`equation graph`; `dependency graph`; `sparsity pattern`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`positive direction`; `oriented arc`; `causal dependency`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`flow variable`; `injection`; `transfer`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`parallel branches`; `aggregate branch`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`coupling relation`; `block impedance matrix`; `connected component`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`cycle basis`; `tree formulation`; `radiality constraint`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`state variable`; `scenario`; `decision state`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`constraint`; `bound`; `active constraint`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`exact reformulation`; `relaxation`; `equivalent feasible set`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`elimination`; `projection`; `reformulation`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`variable scaling`; `coordinate normalization`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`objective`; `penalty`; `loss`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`reference node`; `ground constraint`; `eliminated neutral`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`phase index`; `coordinate`; `sequence component`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`nodal admittance operator`; `assembled linear operator`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Mathematical graph theory

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`vertex`; `node`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`edge`; `arc`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`factor node`; `hyperedge`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`graph`; `adjacency`; `incidence structure`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`orientation`; `directed edge`; `rooted tree`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`network flow`; `circulation`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`parallel edges`; `edge multiplicity`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`relation graph`; `connected component`; `weighted realization`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`cycle`; `forest`; `bridge`; `chord`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`graph state`; `dynamic graph`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`capacity`; `edge weight`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`isomorphism`; `quotient`; `minor`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`quotient`; `contraction`; `minor`; `coarsening`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`canonical labelling`; `normal form`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`information loss`; `forgotten labels`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`distinguished vertex`; `contracted ground node`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`layer`; `vertex colour`; `fibre coordinate`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`weighted support operator`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Graph machine learning

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`node`; `node type`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`edge`; `edge type`; `relation`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`factor node`; `relation type`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`input graph`; `message graph`; `adjacency`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`message direction`; `directed relation`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`message`; `aggregation`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`multi-edge`; `duplicate relation`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`relation edge`; `heterogeneous coupling edge`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`graph cycle`; `tree architecture`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`hidden state`; `node state`; `graph state`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`constraint feature`; `feasibility label`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`expressive equivalence`; `invariant representation`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`pooling`; `coarsening`; `readout`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`feature normalization`; `graph normalization`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`training loss`; `objective`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`ground node`; `reference feature`; `neutral node`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`phase feature`; `channel`; `positional encoding`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`physics operator`; `graph shift operator`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Circuit theory (shared technical vocabulary)

Familiar terms	House terms	Relation / usage	Diagnostic question	Unsafe inference	Route
`node`; `terminal`; `port`	`asset`; `junction`; `port`; `terminal`; `vertex`	representation dependent; unsafe unqualified term	What object type and representation does the word name?	Every node is one physical bus.	definition
`branch`; `one-port`; `two-port`	`asset`; `line`; `oriented attachment`; `support edge`	representation dependent; unsafe unqualified term	What owns identity, and what records attachment or algebraic coupling?	Every edge is one physical branch.	definition
`constitutive relation`; `multiport`	`factor`; `behavioural relation`	false friend; unsafe unqualified term	Does factor mean a behavioural relation, factor-graph node, power factor, or matrix factorization?	The shared word denotes the same mathematical object.	definition
`circuit graph`; `network topology`; `incidence`	`named graph`; `typed incidence`; `active topology`; `support graph`	representation dependent; unsafe unqualified term	Which asset, connectivity, factor, equation, support, or message graph is meant?	One topology answers every physical and computational query.	definition
`reference direction`; `passive sign convention`	`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	scoped alias; accepted qualified shorthand	Is direction a stored order, sign convention, operating result, rooted hierarchy, causal relation, or admissibility rule?	An arrow predicts physical transfer or permanent upstream/downstream status.	definition
`branch current`; `terminal current`; `complex power`	`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	false friend; unsafe unqualified term	Which terminal or internal quantity is meant, and which conservation law applies?	One antisymmetric conserved scalar lives on every edge.	definition
`parallel connection`; `common terminal pair`	`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	broader / narrower; accepted qualified shorthand	Do members share endpoints, terminals, a physical route, boundary variables, or operating interchangeability?	Parallel members can be merged without a preservation contract.	definition
`mutually coupled branches`; `primitive impedance matrix`; `equivalent lattice`	`mutual-coupling record`; `coupling group`; `joint primitive`	representation dependent; preferred house term	Is this the pairwise source relation, its connected group, the assembled primitive, or a generated realization?	Mutual coupling is an ordinary parallel branch or every generated lattice edge is a physical conductor.	definition
`loop`; `mesh`; `loop current`	`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	representation dependent; unsafe unqualified term	In which graph and active state is the cycle, tree, mesh, or radiality claim made?	A graph cycle is a circulating physical flow, or radiality is representation independent.	definition
`circuit state`; `initial condition`	`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	false friend; unsafe unqualified term	Is state an electrical variable, equipment status, scenario, estimator object, or learned hidden representation?	One state container gives all meanings the same semantics.	definition
`admissible region`; `device limit`	`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	broader / narrower; unsafe unqualified term	Is this a source datum, operational policy, mathematical encoding, or solution status?	One scalar constraint reproduces the complete equipment limit.	definition
`port equivalence`; `driving-point equivalence`	`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	scoped alias; unsafe unqualified term	Which interface, domain, joint observation, constraint, decision, objective, and recovery object is preserved?	Equal terminal equations or separate observation ranges imply equal joint feasible decisions and source meaning.	definition
`network reduction`; `equivalent circuit`; `elimination`	`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	broader / narrower; unsafe unqualified term	Which objects are renamed, generated, forgotten, solved, aggregated, or recoverable?	Every transformation merely makes the graph smaller.	definition
`reference scaling`; `per-unit conversion`	`coordinate normalization`	false friend; unsafe unqualified term	Is normalization changing units, coordinates, schemas, physical parameters, or statistical features?	All normalizations preserve the same semantics and admit the same inverse.	definition
`dissipation`; `absorbed power`	`electrical loss`; `information loss`; `objective function`	false friend; unsafe unqualified term	Is loss absorbed power, unrecoverable information, or an optimization/training objective?	Reducing one kind of loss reduces the others.	definition
`datum node`; `ground`; `reference`; `return conductor`	`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	false friend; unsafe unqualified term	Is this physical earth, a conductor, an impedance or connection, or a gauge reference?	All are one zero-voltage node.	definition
`phase-domain coordinate`; `sequence component`; `terminal variable`	`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	representation dependent; unsafe unqualified term	Does phase name an asset label, physical path, terminal slot, phase-domain component, or transformed coordinate?	A matching phase label fixes every terminal and coordinate map.	definition
`nodal admittance matrix`	`declared nodal operator`	exact alias; preferred house term	Are the coordinate order and model class fixed, and is the alias restricted to the assembled operator?	An operator alias is also an alias for the source network or its assembly decomposition.	definition

Book-to-community index

Use this view when a house term is familiar but the language likely to appear in another community is not. Blank cells are meaningful: the registry does not invent an alias merely to complete a row.

House-term cluster	Power engineering	Software / data	Mathematical modelling	Graph theory	Graph ML	Circuit theory	Relation	Route
`asset`; `junction`; `port`; `terminal`; `vertex`	`bus`; `node`; `terminal`	`equipment`; `terminal`; `connectivity node`; `topological node`	`node`; `variable block`; `index`	`vertex`; `node`	`node`; `node type`	`node`; `terminal`; `port`	representation dependent	definition
`asset`; `line`; `oriented attachment`; `support edge`	`line`; `branch`; `circuit`	`conducting equipment`; `branch record`; `terminal pair`	`branch`; `arc`; `relation`	`edge`; `arc`	`edge`; `edge type`; `relation`	`branch`; `one-port`; `two-port`	representation dependent	definition
`factor`; `behavioural relation`	`device model`; `power factor`	`component model`; `equipment model`	`constraint relation`; `factor`	`factor node`; `hyperedge`	`factor node`; `relation type`	`constitutive relation`; `multiport`	false friend	definition
`named graph`; `typed incidence`; `active topology`; `support graph`	`network graph`; `topology`; `one-line`	`node-breaker topology`; `bus-branch topology`; `connectivity graph`	`equation graph`; `dependency graph`; `sparsity pattern`	`graph`; `adjacency`; `incidence structure`	`input graph`; `message graph`; `adjacency`	`circuit graph`; `network topology`; `incidence`	representation dependent	definition
`stored orientation`; `terminal sign`; `operating transfer`; `rooted-tree relation`	`from bus`; `to bus`; `upstream`; `downstream`	`terminal 1`; `terminal 2`; `from`; `to`	`positive direction`; `oriented arc`; `causal dependency`	`orientation`; `directed edge`; `rooted tree`	`message direction`; `directed relation`	`reference direction`; `passive sign convention`	scoped alias	definition
`series current`; `terminal current`; `terminal power`; `operating transfer`; `message`	`power flow`; `line flow`; `branch current`	`from-end flow`; `to-end flow`; `measurement`	`flow variable`; `injection`; `transfer`	`network flow`; `circulation`	`message`; `aggregation`	`branch current`; `terminal current`; `complex power`	false friend	definition
`physical parallelism`; `parallel fibre`; `terminal parallelism`; `electrical aggregability`	`parallel lines`; `physically parallel lines`; `double circuit`; `shared right of way`	`duplicate endpoint pair`; `parallel equipment records`	`parallel branches`; `aggregate branch`	`parallel edges`; `edge multiplicity`	`multi-edge`; `duplicate relation`	`parallel connection`; `common terminal pair`	broader / narrower	definition
`mutual-coupling record`; `coupling group`; `joint primitive`	`mutual impedance`; `mutually coupled lines`; `joint line model`	`MutualCoupling`; `line coupling`; `mutual impedance record`	`coupling relation`; `block impedance matrix`; `connected component`	`relation graph`; `connected component`; `weighted realization`	`relation edge`; `heterogeneous coupling edge`	`mutually coupled branches`; `primitive impedance matrix`; `equivalent lattice`	representation dependent	definition
`simple cycle`; `line-identity cycle`; `adjacency-radial`; `member-radial`; `rooted active-tree view`	`radial feeder`; `mesh`; `loop`	`radial topology`; `island`; `loop`	`cycle basis`; `tree formulation`; `radiality constraint`	`cycle`; `forest`; `bridge`; `chord`	`graph cycle`; `tree architecture`	`loop`; `mesh`; `loop current`	representation dependent	definition
`electrical state`; `equipment state`; `scenario`; `estimator state`; `hidden state`	`system state`; `operating state`; `switch state`	`status`; `profile`; `state variable`	`state variable`; `scenario`; `decision state`	`graph state`; `dynamic graph`	`hidden state`; `node state`; `graph state`	`circuit state`; `initial condition`	false friend	definition
`rating`; `limit record`; `feasible region`; `constraint`; `binding status`	`rating`; `thermal limit`; `emergency rating`	`normal amps`; `limit set`; `operational limit`	`constraint`; `bound`; `active constraint`	`capacity`; `edge weight`	`constraint feature`; `feasibility label`	`admissible region`; `device limit`	broader / narrower	definition
`preservation contract`; `exact normalization`; `behavioural equivalence`; `decision equivalence`	`equivalent circuit`; `network equivalent`	`equivalent model`; `round trip`	`exact reformulation`; `relaxation`; `equivalent feasible set`	`isomorphism`; `quotient`; `minor`	`expressive equivalence`; `invariant representation`	`port equivalence`; `driving-point equivalence`	scoped alias	definition
`projection`; `compilation`; `normalization`; `elimination`; `aggregation`; `reduction`	`network reduction`; `equivalencing`; `aggregation`	`conversion`; `topology processing`; `compilation`	`elimination`; `projection`; `reformulation`	`quotient`; `contraction`; `minor`; `coarsening`	`pooling`; `coarsening`; `readout`	`network reduction`; `equivalent circuit`; `elimination`	broader / narrower	definition
`coordinate normalization`	`per-unit normalization`; `base conversion`	`schema normalization`; `canonical ordering`	`variable scaling`; `coordinate normalization`	`canonical labelling`; `normal form`	`feature normalization`; `graph normalization`	`reference scaling`; `per-unit conversion`	false friend	definition
`electrical loss`; `information loss`; `objective function`	`line loss`; `network loss`	`data loss`; `loss of provenance`	`objective`; `penalty`; `loss`	`information loss`; `forgotten labels`	`training loss`; `objective`	`dissipation`; `absorbed power`	false friend	definition
`physical earth`; `neutral conductor`; `grounding factor`; `voltage reference`	`ground`; `earth`; `neutral`; `solidly grounded`	`node 0`; `ground bus`; `neutral terminal`; `reference bus`	`reference node`; `ground constraint`; `eliminated neutral`	`distinguished vertex`; `contracted ground node`	`ground node`; `reference feature`; `neutral node`	`datum node`; `ground`; `reference`; `return conductor`	false friend	definition
`asset phase label`; `conductor`; `terminal coordinate`; `phase-domain component`; `sequence coordinate`	`phase`; `phase conductor`; `positive sequence`	`phase code`; `terminal number`; `conductor order`	`phase index`; `coordinate`; `sequence component`	`layer`; `vertex colour`; `fibre coordinate`	`phase feature`; `channel`; `positional encoding`	`phase-domain coordinate`; `sequence component`; `terminal variable`	representation dependent	definition
`declared nodal operator`	`Y-bus`; `bus admittance matrix`	`Ybus`; `system Y matrix`	`nodal admittance operator`; `assembled linear operator`	`weighted support operator`	`physics operator`; `graph shift operator`	`nodal admittance matrix`	exact alias	definition

Scope and review boundary

This first registry contains 18 collision concepts. It is a controlled book vocabulary, not an empirical claim that every practitioner uses the recorded terms identically. Community review remains required. Changes should update the registry first and regenerate this page rather than editing the generated tables.