Theerinaceousone
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My name is Paul Wintz, AKA The Erinaceous One 🦔. I am a PhD student at the University of California, Santa Cruz (Q1047293), where I study control theory (Q6501221) in the Department of Applied Mathematics.
Where to find me accross the internet:
 Personal blog on Tumblr.
 Spiromaniac blog on Tumblr.
 Animals blog on Tumblr.
 Personal homepage
 Spotify
 StackOverflow
Todo List Edit
The following are tasks that I am planning to work on.
 Add explanation of thirdorder class (Q24017465) (and similar items) on its talk page. (Maybe track down the "true" documentation for ontology and link it there).
 Add a more complete example to defining formula page with demonstrates how to use "calculated from" and "in defining formula"
 Add more "generalization of" statements to mathematical items
 Create "mathematically equivalent to" property?
 Create "has conclusion" property for proof items?
 Integrate Wikidata:List of properties/mathematics into the mathematics project page.
 Clarify the difference between numerical methodhas qualityAstability and Euler backward methodhas qualityAstability.
 Why is musical trio (Q281643)instance ofmusical term? Isn't that language dependent?
 What the relationship between signed curvature and curvature?
 Clean up the instances of mathematical object. In particular, shape (Q207961) has many subclasses that should not be mathematical objects.
 Develop Template:Instance Criteria
 Address whether this item should exist: organisms known by a particular common name (Q55983715)
Properties and Templates I Find Useful Edit
Properties:
 model item (P5869): defines which item is a best practice example of modelling a subject, which is described by the value of this property, usage instructions at Wikidata:Model items
 "subject has role" and "object has role
 manifestation of
 disjoint union of (P2738): every instance of this class is an instance of exactly one class in that list of classes. Use "list item" P11260 as qualifiers to specify the list of classes
 facet of
 properties for this type (P1963): when this subject is used as object of "instance of", the following properties normally apply
 has goal (P3712): desired result or outcome
 proportion (P1107): to be used as a qualifier, value must be between 0 and 1
 value hierarchy property (P6609): property which specifies less precise items than the indicated value, for which statements using the subject property would still be true
 maintained by WikiProject (P6104): WikiProject that maintains this property, item, or linked pages. If the WikiProject is hosted outside of Wikidata, define the scope using the qualifier "of (P642)"
 SandboxItem (P369): Sandbox property for value of type "Item"
Qualifiers Edit
 sourcing circumstances (P1480). In particular, "statement"sourcing circumstances (P1480)design requirement (Q774228) or necessity (Q2301186)
Deprecation Edit
Templates Edit
Template  Shorthand  Example 

{{Autodescription}} 
{{A}} 

{{Data}} 

{{EntitySchema}} 
{{E}} 

{{Label}} 
Douglas Adams  
{{LinkedLabel}} 
Douglas Adams  
{{Label and description}} 
{{LD}} 
Douglas Adams (no description) 
{{Q}} 
Douglas Adams (Q42)  
{{Q+}} 
Douglas Adams (Q42): author  
{{Q'}} 
Douglas Adams (Q42)  
{{Q''}} 
Douglas Adams (Q42)  
{{Q'''}} 
Douglas Adams (Q42)  
{{Q!}} 
Douglas Adams (Q42)  
{{Q*}} 
Douglas Adams (Q42): author  
{{QP}} 
instance of (P31) of Douglas Adams (Q42)  
{{QT}} 
Douglas Adams (Q42)  
{{Property}} 
{{P}} 

{{P'}} 

{{PT'}} 

{{P+}} 

{{Lexeme}} 
{{L}} 

{{Claim}} 
{{C}} 

{{Statement}} 
{{St}} 

{{Statement+}} 

{{EzStatement+}} 

(Label in English)  {{Qen}} 
Douglas Adams^{(42)} 
(Label in French)  {{Qfr}} 
Douglas Adams^{(42)} 
(Label in Italian)  {{Qit}} 
Douglas Adams^{(42)} 
(Label in German)  {{Qde}} 
Douglas Adams^{(42)} 
(Label in Polish)  {{Qpl}} 
Douglas Adams^{(42)} 
(Label in Russian)  {{Qru}} 
Дуглас Адамс^{(42)} 
(Label in Ukrainian)  {{Quk}} 
Дуглас Адамс^{(42)} 
(Label in Spanish)  {{Qes}} 
Douglas Adams^{(42)} 
(Label in Chinese)  {{Qzh}} 
道格拉斯·亞當斯^{(42)} 
(Label in Punjabi Shahmukhi)  {{Qpnb}} 
ڈگلس ایڈمس^{(42)} 
(Label in Punjabi Gurmukhi)  {{Qpa}} 
ਡੁਗਲਸ ਐਡਮਸ^{(42)} 
(Label in Saraiki)  {{Qskr}} 
ڈگلس ایڈمس^{(42)} 
To talk about templates, use the template {{Tl}}
Questions About Modeling Edit
How do we represent that instances of dimension of a vector space (Q929302) will be integer values?
Important Math Items Edit
The following are classes of mathematical objects that I patrol occasionally to make sure the ontology of their instances and subclasses are correct.
 axiomatic system (Q792542)
 theorem (Q65943)
 set (Q36161)
 topology (Q42989)
 mathematical structure (Q748349)
 polynomial (Q43260)
 polynomial sequence (Q1052437)
 differential equation (Q11214)
I also have some expertise in the following categories, so I try to develop and maintian them:
Frequently misused Edit
There are several mathematics terms that are easily confused with everyday terms, so I periodically check them for misuse.
 ring (Q161172)
 mathematical group (Q83478)
 field (Q190109)
 model (Q1979154)
 boundary (Q875399)
 atlas (Q1303310)
 category (Q719395)
 couple (Q253897)
 function (Q11348) (confused with Q4164871)
 interval (Q185148)
Likely to be misused (but not actually) bridge (Q2532492) loop (Q512604) cycle (Q78323458) boundary (Q78323465) quiver (Q493980) knot (Q1188853) flag (Q8563541) image (Q860623) center (Q191166) degree (Q383444) arc (Q147572) cone (Q493171) chain (Q53710222) decade (Q2199357) lattice (Q595364) stack (Q7595945) necklace (Q2983383) fiber (Q1640811) filter (Q1052692)
Property Proposals Edit
 Wikidata:Property proposal/extinction date (complete: extinction date (P8556))
 Wikidata:Property proposal/Butcher tableau (complete: Butcher tableau (P8558))
 Wikidata:Property proposal/convergence rate (unpublished)
 Wikidata:Property proposal/step count (withdrawn)
 Wikidata:Property proposal/is solution to (complete: solution to (P9030))
 Wikidata:Property proposal/defined in terms of (withdrawn)
 Wikidata:Property proposal/SI base units (considering)
 Wikidata:Property proposal/generalization of/generalized by (considering)
 Wikidata:Property proposal/group identity (complete: identity element (P8864), has operator (P8866), mathematical inverse (P8865))
 Wikidata:Property proposal/quality for this class (drafting)
Properties I'm considering proposing: Edit
Other Edit
 "Belmann equation""necessary condition for""solution to dynamic program"
 "solution to dynamic program""has necessary condition""Bellman equation"
 " ""suffcicient condition for"" "
 " ""is suffcicient condition"" "
 "control signal"produced bycontroller
 "is porportional to"
 negationtruth table<truth table>
 R^2cartesian product of"items listed as qualifiers"
ofR ofR  R^2direct product of"items listed as qualifiers"
of of
qualities for this type Edit
 Human"qualities for this type"male, female (alternatively, maybe Human"qualities for this type"gender
"possible values"male, female, etc. would be a better model)  iterative numerical method"qualities for this type"Lstable, Astable, zerostable,
Instances all have quality Edit
 RungeKutta method"All instances have quality"Butcher tableau
 linear functional"All instances have quality""Listed as qualifiers"
codomainfield of scalars
Units Edit
 Something to model SI base unit (Q223662).
 A way to write ISQ dimension (P4020) in machinereadable code.
ISQ dimension (P4020) 
 
add value 
Conditions for inclusion of items in class Edit
Throughout Wikidata, we have a heirarchy of classes, but there is not a clear modeling of what the criteria for a item to by an instance or a subclass of another. There are two solutions I see for this:
The first is to create a template for talk pages that would allow users to describe the criteria (such as necessary and sufficient conditions) for inclusion in the class. When giving a definition, it is generally a good idea to conscribe the scope of the definition by stating nonexamples. Thus, we could have several categories:
 Intensional definition: State the necessary and sufficient conditions for an item to be included in the class
 Ostensive definition: Provide a list of examples that exemplify the characteristics of the class. Edge cases are also helpful to show the extent of the definition.
 Nonexamples: Several items that might be included in the class, but are not, along with a explanation for each about what characteristic(s) violates the definition.
The second option is to try and model this information in Wikidata statement. The value of such statement seems obvious to me, but would be a substatial addition to the project.
Failed Proposals Worth Revisting Edit
Wikidata:Property proposal/Implies (necessary condition) (Also includes logical/axiomatic system)
SPARQL Queries Edit
RungeKutta methods Edit
Show all the RungeKutta methods sorted by the number of stages.
select distinct
?method
?methodLabel
?formula
?Butcher
?stages
?orderOfConvergence
where {
?method wdt:P31*/wdt:P279* wd:Q725944.
optional{?method wdt:P2534 ?formula .}
optional{?method wdt:P8558 ?Butcher.}
optional{?method p:P1552 [ps:P1552 wd:Q97672364; pq:P1114 ?stages].}
optional{?method p:P1552 [ps:P1552 wd:Q97940482; pq:P1181 ?orderOfConvergence].}
SERVICE wikibase:label { bd:serviceParam wikibase:language "[AUTO_LANGUAGE],en". }
} ORDER BY (!bound(?stages)) ASC(?stages) (!bound(?orderOfConvergence)) ASC(?orderOfConvergence)
Linear Multistep Methods Edit
Show all linear multistep methods sorted by the number of steps.
select distinct
?method
?methodLabel
?formula
?steps
?orderOfConvergence
where {
?method wdt:P31*/wdt:P279* wd:Q1462003.
optional{?method wdt:P2534 ?formula .}
optional{?method p:P1552 [ps:P1552 wd:Q98293869; pq:P1114 ?steps].}
optional{?method p:P1552 [ps:P1552 wd:Q97940482; pq:P1181 ?orderOfConvergence].}
SERVICE wikibase:label { bd:serviceParam wikibase:language "[AUTO_LANGUAGE],en". }
} ORDER BY (!bound(?steps)) ASC(?steps) ASC(?orderOfConvergence)
Defining Formulas Edit
Adapted from User:Toni 001
select
?quantity
(sample(?label) as ?label)
(sample(?desc) as ?desc)
(sample(?symbol) as ?symbol)
(sample(?formula) as ?formula)
(
strdt(
concat(
"<", "math><mtable columnalign=left>",
group_concat(?symbolAndLabel),
"</mtable></math>"
),
<http://www.w3.org/1998/Math/MathML>
) as ?otherSymbols
)
where {
?quantity wdt:P279+ wd:Q71550118 .
optional { ?quantity rdfs:label ?label . filter (lang(?label) = "en") }
optional { ?quantity schema:description ?desc . filter (lang(?desc) = "en") }
?quantity wdt:P2534 ?formula .
?quantity wdt:P7235 ?symbol .
{
select distinct * where {
?quantity p:P4934 [ pq:P7235 ?otherSymbol ; ps:P4934 / rdfs:label ?otherLabel ] .
filter (lang(?otherLabel) = "en")
bind (
concat(
"<mrow>",
str(?otherSymbol), "<mtext>", ": ", ?otherLabel, "</mtext>",
"</mrow>"
) as ?symbolAndLabel
)
}
}
} group by ?quantity ?formula
Number classification Edit
The following might be useful information on the mathematics project page.
Natural Numbers  Integers  Rationals  Real Numbers  

number (Q11563)  natural number (Q21199)  integer (Q12503)  rational number (Q1244890)  real number (Q12916) 
set of numbers (Q3054943)  set of nonnegative integers (Q28777634)  set of integers (Q47007735)  set of rational numbers (Q47005650)  set of real numbers (Q26851380) 
type of number (Q47460393)  type of natural numbers (Q77359186)  type of integer (Q77358734)  ??  ?? 
Property Drafts Edit
Interval Properties Edit
semitones Edit
Description  number of semitones between the notes in a musical interval 

Represents  semitone (Q738785) 
Data type  Item 
Domain  item (interval (Q189962)) 
Allowed values  natural number (Q21199) 
Example 1  perfect fifth (Q12372854) → 7 
Example 2  tritone (Q623939) → 6 
Example 3  unison (Q176224) → 0 
Example 4  octave (Q386025) → 12 
Expected completeness  eventually complete (Q21873974) 
Singlevalue constraint  yes 
Currently, this is modeled in some places (such as on perfect prime (Q12372857)) as
tritone (Q623939)has part(s) (P527)semitone (Q738785)
tuning ratio Edit
Description  the ratio of the frequencies of the upper note to the lower note in a musical interval (in a given tuning system specified using a qualifier) 

Represents  interval (Q189962) 
Data type  Mathematical expression 
Domain  item (interval (Q189962)) 
Example 1  perfect fifth (Q12372854) → 
Example 2  octave (Q386025) → 
Example 3  unison (Q176224) → 
Is Mathematical expression the best way to model ratios? Should we do Items instead?
cents Edit
Description  logarithmic unit of measure for musical intervals that divides the octave into 12 semitones of 100 cents each. 

Represents  interval (Q189962) 
Data type  Quantity 
Domain  item (interval (Q189962)) 
Example 1  unison (Q176224) → 0 cents 
Example 2  perfect fifth (Q12372854)cents 
Example 3  perfect fifth (Q12372854)cents701.955 
Expected completeness  always incomplete (Q21873886) 
Motivation Edit
The tuning of musical intervals is a surprsingly complicated topic. Whereas you might expect the 12 notes used in most Western would have a standard spacing, in fact there are several different systems of tuning, including twelvetone equal temperament (Q21087560), just tuning, pythaogrean, and others. — The Erinaceous One 🦔 10:57, 11 November 2022 (UTC)