tensor product
Give an agent a durable, checkable way to recognise a tensor product, record what state it is in, and decide what may be done with it.
Generated draft, first pass
This model was drafted by rule from what the registry knows about the thing. It proposes which bundles a real model will need and which questions research must answer. It is not researched and no sentence in it is sourced.
Generator: vr.draft.v3
Bundle → Layer → Finding → Questions Derived, awaiting review
5 bundles · 10 layers · 12 findings · 32 questions
Identity, naming and classification How an agent tells one tensor product from another, and a tensor product from things that resemble it.
Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.
Names and identifiers
The names this thing goes by and the identifiers that survive translation and time.
Preferred name, aliases and local names
Which name to use, which names mean the same thing, and which merely sound similar.
- What identifies and describes the name of a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about the name of a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once the name of a tensor product is known, and what must it refuse? action
Stable identifiers and external keys
Identifiers that keep pointing at this kind of thing across systems and languages.
- What identifies and describes an identifier for a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about an identifier for a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once an identifier for a tensor product is known, and what must it refuse? action
Classification and granularity
Where a tensor product sits among kinds, and how finely a task needs to cut it.
Kind, parents and neighbouring kinds
The classes this thing belongs to and the ones it is next to.
- What identifies and describes the kind of a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about the kind of a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once the kind of a tensor product is known, and what must it refuse? action
Distinguishing features
What separates a tensor product from the things most often confused with it.
- What identifies and describes what distinguishes a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about what distinguishes a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once what distinguishes a tensor product is known, and what must it refuse? action
State and lifecycle The states a tensor product passes through and the events that move it between them.
Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.
Lifecycle stages
From coming into existence to ceasing to be one of these.
Stages and transitions
The stages worth naming and what moves a tensor product between them.
- What identifies and describes the lifecycle of a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about the lifecycle of a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once the lifecycle of a tensor product is known, and what must it refuse? action
Observations and current status
What is observed about a tensor product, how often and by whom.
Observation record
How an observation of a tensor product is recorded so that it can be superseded rather than overwritten.
- What identifies and describes an observation of a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about an observation of a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once an observation of a tensor product is known, and what must it refuse? action
Definitions and who holds them What tensor product is taken to mean, and by whom.
When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.
Competing definitions
The main readings and the traditions behind them.
Definitions and their holders
Each definition with the school or body that holds it.
- Which definitions of tensor product are in use, and which tradition or body holds each? definition
- What turns on the difference between them in practice? boundary
Operationalisation
How it is measured or applied when it has to be.
Measures and proxies
Instruments and indicators used to stand in for it.
- How is tensor product operationalised or measured in practice, and by what instrument? measurement
- What does that operationalisation leave out, and when does that matter? boundary
Instances, use and consequence What counts as an instance of tensor product and what follows from calling something that.
Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.
What counts as an instance
Clear cases, borderline cases and non-cases.
Tests for an instance
What would settle whether something falls under it.
- What would settle whether something is an instance of tensor product? boundary
- Which borderline cases are argued about, and on what grounds? definition
Consequence of application
Rights, duties or decisions that follow from the label.
What the label licenses
What an agent may do once something is classified this way.
- What follows practically once something is treated as tensor product? action
- What must an agent not infer from the label alone? action
Provenance, evidence and time Where every claim about a tensor product came from and when it held.
A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.
Source and authority
Who said it, on what evidence, and how strongly.
Claim provenance and confidence
The authority behind each claim about a tensor product and how confident it is.
- What identifies and describes a claim about a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about a claim about a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once a claim about a tensor product is known, and what must it refuse? action
Time, versions and supersession
When a claim was true, when it was learnt, and what replaced it.
Validity period and supersession
How an old claim about a tensor product is retired without being erased.
- What identifies and describes the validity of a claim about a tensor product, and in what units or vocabulary? definition
- Who or what asserted this about the validity of a claim about a tensor product, by which method, and when was it true? provenance
- What may an agent decide or do once the validity of a claim about a tensor product is known, and what must it refuse? action
Classifiers Filled
- Family
- Thing Registry
- Category
- Cross-cutting context
- Entry kind
- abstract concept
- Plane
- XCT
- Domain
- XCT.QLT
- Also called
- tensor product of two tensors, tensor product of Hilbert spaces, tensor product of graphs, dyadic product, tensor product of fields, tensor product of modules, tensor product of representations, tensor product of algebras, tensor product of quadratic forms, topological tensor product
What it is Derived, awaiting review
A cross-cutting notion registered under XCT.QLT. The registry names it; this draft has not been given a definition yet.
Why it exists Derived, awaiting review
Give an agent a durable, checkable way to recognise a tensor product, record what state it is in, and decide what may be done with it.
Distinguishing features Derived, awaiting review
- Names folded into this entry, which a task may need to split apart again: tensor product of two tensors, tensor product of Hilbert spaces, tensor product of graphs, dyadic product, tensor product of fields, tensor product of modules, tensor product of representations, tensor product of algebras, tensor product of quadratic forms, topological tensor product.
- 10 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.
- Described in 29 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is.
What robots and AI may and may not do Derived, awaiting review
May
- observe it, measure it, record its state
Moral aspects Missing, in the backlog
Not described yet. This gap is in the card backlog.
Owners Missing, in the backlog
Not described yet. This gap is in the card backlog.
Links to other meta-models Derived, awaiting review
related
- tensor product of two tensors - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of Hilbert spaces - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of graphs - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- dyadic product - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of fields - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of modules - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of representations - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of algebras - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- tensor product of quadratic forms - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
- topological tensor product - covers: Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.
What else AI and robots need to interact with it Incomplete
Identity and identifiers required Missing, in the backlog
Not described yet. This gap is in the card backlog.
Direct properties not applicable Not applicable
- Made of: an abstraction with no physical instance
- Does nothing on its own; everything it does, something else did to it.
- These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing.
Recognition optional Derived, awaiting review
- Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about.
Capabilities and actions required Derived, awaiting review
- observed and measured
Hazards and failure modes required Missing, in the backlog
Not described yet. This gap is in the card backlog.
Standards and interfaces required Missing, in the backlog
Not described yet. This gap is in the card backlog.
Context of use required Derived, awaiting review
- Described in 29 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 10 finer distinctions are held inside this entry as names rather than as separate models.
Sources Missing, in the backlog
Not described yet. This gap is in the card backlog.
Open questions
- Which of the bundles below does a real task actually need, and which are ceremony?
- What does this thing have that the facets do not capture at all?
- Which neighbouring kind is most often confused with a tensor product, and on what evidence are they told apart?
- What may an agent decide or do once the name of a tensor product is known, and what must it refuse?
- What may an agent decide or do once an identifier for a tensor product is known, and what must it refuse?
- What may an agent decide or do once the kind of a tensor product is known, and what must it refuse?
Machine files
Provenance
thing registry, generated draft (pass 1) · not researched
Built from: models/draft_model.php, wikidata
Generated by rule from registry facets. No source was read; every derived section awaits the research pass.