Hudde’s rules
E686901
Hudde’s rules are a set of 17th-century algebraic techniques for finding maxima, minima, and multiple roots of equations, regarded as an early contribution to the development of calculus.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hudde’s rules canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7760190 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Hudde’s rules Context triple: [Johannes Hudde, notableWork, Hudde’s rules]
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A.
Lenzsche Regel
Lenzsche Regel ist ein grundlegendes Gesetz der Elektrodynamik, das die Richtung induzierter Ströme so festlegt, dass sie der Ursache ihrer Entstehung entgegenwirken.
-
B.
Laporte rule
The Laporte rule is a selection rule in spectroscopy that states electronic transitions in centrosymmetric molecules or ions are only allowed between states of opposite parity, helping explain the intensity patterns of absorption and emission spectra.
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C.
Szemerényi's law
Szemerényi's law is a sound law in Proto-Indo-European linguistics that explains the loss of certain final consonants with compensatory lengthening of the preceding vowel.
-
D.
Osthoff's law
Osthoff's law is a sound change in Indo-European linguistics describing the shortening of long vowels before resonant consonants followed by another consonant.
-
E.
Brugmann's law
Brugmann's law is a sound law in Indo-European linguistics that explains how certain Proto-Indo-European vowels developed specifically in the Indo-Iranian branch.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Hudde’s rules Target entity description: Hudde’s rules are a set of 17th-century algebraic techniques for finding maxima, minima, and multiple roots of equations, regarded as an early contribution to the development of calculus.
-
A.
Lenzsche Regel
Lenzsche Regel ist ein grundlegendes Gesetz der Elektrodynamik, das die Richtung induzierter Ströme so festlegt, dass sie der Ursache ihrer Entstehung entgegenwirken.
-
B.
Laporte rule
The Laporte rule is a selection rule in spectroscopy that states electronic transitions in centrosymmetric molecules or ions are only allowed between states of opposite parity, helping explain the intensity patterns of absorption and emission spectra.
-
C.
Szemerényi's law
Szemerényi's law is a sound law in Proto-Indo-European linguistics that explains the loss of certain final consonants with compensatory lengthening of the preceding vowel.
-
D.
Osthoff's law
Osthoff's law is a sound change in Indo-European linguistics describing the shortening of long vowels before resonant consonants followed by another consonant.
-
E.
Brugmann's law
Brugmann's law is a sound law in Indo-European linguistics that explains how certain Proto-Indo-European vowels developed specifically in the Indo-Iranian branch.
- F. None of above. chosen
Statements (39)
| Predicate | Object |
|---|---|
| instanceOf |
algebraic technique
ⓘ
historical calculus precursor ⓘ mathematical method ⓘ |
| appliesTo |
algebraic equations
ⓘ
polynomial equations ⓘ |
| basedOn | symbolic algebra ⓘ |
| countryOfOrigin | Dutch Republic ⓘ |
| describedAs | early contribution to the development of calculus ⓘ |
| developedInCentury | 17th century ⓘ |
| documentedIn | 17th-century mathematical correspondence ⓘ |
| field |
algebra
ⓘ
calculus ⓘ mathematics ⓘ |
| hasAuthor |
Johann Hudde
ⓘ
linked to:
Johannes Hudde
|
| hasConcept |
algebraic condition for extrema
ⓘ
algebraic criterion for multiple roots ⓘ |
| hasMathematician |
Johann Hudde
ⓘ
linked to:
Johannes Hudde
|
| historicalPeriod | early modern mathematics ⓘ |
| influenced |
Gottfried Wilhelm Leibniz
ⓘ
Isaac Newton ⓘ development of differential calculus ⓘ early infinitesimal methods ⓘ |
| influencedBy |
François Viète
ⓘ
René Descartes ⓘ |
| languageOfOriginalPublication | Latin ⓘ |
| mainSubject |
maxima of functions
ⓘ
minima of functions ⓘ multiple roots of equations ⓘ |
| namedAfter |
Johann Hudde
ⓘ
linked to:
Johannes Hudde
|
| notableFor |
anticipating derivative-based tests for extrema
ⓘ
systematic algebraic treatment of multiple roots ⓘ |
| partOf |
history of algebra
ⓘ
history of calculus ⓘ |
| relatedTo |
differentiation
ⓘ
method of fluxions ⓘ tangent method ⓘ |
| usedFor |
finding stationary points
ⓘ
optimization of algebraic expressions ⓘ testing for multiple roots ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Hudde’s rules Description of subject: Hudde’s rules are a set of 17th-century algebraic techniques for finding maxima, minima, and multiple roots of equations, regarded as an early contribution to the development of calculus.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Hudde