Theoria motus corporum coelestium in sectionibus conicis solem ambientium¶
Gauss, C. F. (1809). Theoria motus corporum coelestium in sectionibus conicis solem ambientium.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Distributional Assumption
- These assumptions enable closed-form solutions, efficient computation, and interpretable test statistics; relaxing them complicates computation dramatically.
This sourceFounding systematic exposition of the method of least squares, giving a probabilistic justification in which assuming normally distributed observational errors makes least squares the maximum-likelihood / most-probable estimate — the origin of the normal-error distributional assumption underlying regression. (Priority dispute with Legendre, Nouvelles méthodes pour la détermination des orbites des comètes, Paris: Courcier, 1805, which published the least-squares method itself four years earlier.)
Supported in partVerified against the work's full text
Gauss derives least squares from a normal error law and shows it gives linear equations solved by plain elimination, but says nothing about test statistics or the cost of relaxing the assumption.
“Adsunt itaque totidem aequationes lineares , quot incogni- tas determinandae sunt, vnde harum valores per eliminationem vulgarem elicientur.”
- These assumptions enable closed-form solutions, efficient computation, and interpretable test statistics; relaxing them complicates computation dramatically.
- Function (Mapping)
- In economics and statistics, demand and supply functions, production functions, and utility functions specify deterministic input-output relationships; regression equations
This sourceFounding systematic exposition of the method of least squares. Priority dispute with Legendre, Adrien-Marie. Nouvelles méthodes pour la détermination des orbites des comètes (Paris: Courcier, 1805), which published the method itself four years earlier.
- In economics and statistics, demand and supply functions, production functions, and utility functions specify deterministic input-output relationships; regression equations
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Read against the text for 1 of 2 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:c292551035c4 · see in the full table