Théorie analytique de la chaleur
E4276
Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Théorie analytique de la chaleur canonical | 5 |
| Theory of Heat | 1 |
| Théorie de la propagation de la chaleur dans les solides | 1 |
| Théorie mathématique de la chaleur | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T51364 — 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: Théorie analytique de la chaleur Context triple: [Jean-Baptiste Joseph Fourier, notableWork, Théorie analytique de la chaleur]
-
A.
Traité de la lumière
Traité de la lumière is a seminal 1690 scientific treatise that presents Christiaan Huygens’ wave theory of light, including the principle now known as Huygens’ principle.
-
B.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
C.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
-
D.
Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
-
E.
De ratiociniis in ludo aleae
De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
- 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: Théorie analytique de la chaleur Target entity description: Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
-
A.
Traité de la lumière
Traité de la lumière is a seminal 1690 scientific treatise that presents Christiaan Huygens’ wave theory of light, including the principle now known as Huygens’ principle.
-
B.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
C.
On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat
"On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat" is Albert Einstein’s 1905 paper that provided a theoretical explanation of Brownian motion, offering strong evidence for the existence of atoms and molecules.
-
D.
Does the Inertia of a Body Depend Upon Its Energy Content?
"Does the Inertia of a Body Depend Upon Its Energy Content?" is Albert Einstein’s 1905 paper that first articulated the mass–energy equivalence principle, commonly expressed as E = mc².
-
E.
De ratiociniis in ludo aleae
De ratiociniis in ludo aleae is a pioneering 17th-century treatise on probability theory, particularly as applied to games of chance.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author |
Jean-Baptiste Joseph Fourier
ⓘ
surface form:
Joseph Fourier
|
| centuryOfPublication | 19th century ⓘ |
| contributionTo |
development of Fourier analysis
ⓘ
development of mathematical theory of heat conduction ⓘ foundation of modern harmonic analysis ⓘ |
| countryOfOrigin | France ⓘ |
| field |
analysis
ⓘ
mathematics ⓘ physics ⓘ thermodynamics ⓘ |
| firstEditionPlaceOfPublication | Paris ⓘ |
| focusesOn |
diffusion processes
ⓘ
heat equation ⓘ |
| hasAuthorFullName | Jean-Baptiste Joseph Fourier ⓘ |
| hasKeyIdea |
representation of arbitrary functions by trigonometric series under suitable conditions
ⓘ
superposition principle for solutions of the heat equation ⓘ use of eigenfunctions of the Laplacian to solve heat problems ⓘ |
| historicalSignificance |
milestone in rigor and methods of mathematical physics
ⓘ
one of the earliest systematic treatments of PDEs in physics ⓘ |
| influenced |
development of spectral theory
ⓘ
later work in signal analysis ⓘ mathematical treatment of boundary value problems ⓘ theory of partial differential equations ⓘ |
| influencedBy | experimental studies of heat conduction ⓘ |
| introducedConcept |
Fourier series representation of temperature distributions
ⓘ
separation of variables method for the heat equation ⓘ systematic use of trigonometric series to represent functions ⓘ use of boundary conditions in solving PDEs ⓘ |
| mathematicalToolUsed |
differential equations
ⓘ
integral calculus ⓘ trigonometric series ⓘ |
| originalLanguage | French ⓘ |
| publicationYear | 1822 ⓘ |
| publisher | Firmin Didot ⓘ |
| relatedWork |
Fourier analysis
ⓘ
Théorie analytique de la chaleur self-linksurface differs ⓘ
surface form:
Théorie de la propagation de la chaleur dans les solides
heat equation ⓘ |
| subject |
Fourier analysis
ⓘ
surface form:
Fourier series
harmonic analysis ⓘ heat conduction ⓘ mathematical physics ⓘ partial differential equations ⓘ |
| timePeriodDescribed |
steady-state heat conduction
ⓘ
transient heat conduction ⓘ |
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: Théorie analytique de la chaleur Description of subject: Théorie analytique de la chaleur is Joseph Fourier’s foundational 1822 treatise that introduced Fourier series and laid the mathematical groundwork for the modern theory of heat conduction and harmonic analysis.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
Théorie analytique de la chaleur
→
relatedWork
→
Théorie analytique de la chaleur
self-linksurface differs
ⓘ
this entity surface form:
Théorie de la propagation de la chaleur dans les solides
subject surface form:
Jean-Baptiste Joseph Fourier
this entity surface form:
Theory of Heat
subject surface form:
Jean-Baptiste Joseph Fourier
subject surface form:
Joseph Fourier
this entity surface form:
Théorie mathématique de la chaleur