Abel’s theorem
E1325981
UNEXPLORED
Abel’s theorem is a result in mathematical analysis that relates the behavior of power series at the boundary of their interval of convergence to the limit of their coefficients, providing conditions under which the sum of the series converges to a given value.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Abel's theorem | 1 |
| Abel’s limit theorem | 1 |
| Abel’s theorem canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T18479319 — 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: Abel’s theorem Context triple: [Abel summation, relatedTo, Abel’s theorem]
-
A.
Cauchy–Hadamard theorem
The Cauchy–Hadamard theorem is a fundamental result in complex analysis that characterizes the radius of convergence of a power series in terms of the growth rate of its coefficients.
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B.
Picard theorem
Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
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C.
Limb’s Theorem
Limb’s Theorem is a contemporary dance work by choreographer William Forsythe that exemplifies his deconstructive, concept-driven approach to ballet and movement.
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D.
Abel–Ruffini theorem
The Abel–Ruffini theorem is a fundamental result in algebra proving that there is no general solution in radicals for polynomial equations of degree five or higher.
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E.
Weierstrass preparation theorem
The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
- 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: Abel’s theorem Target entity description: Abel’s theorem is a result in mathematical analysis that relates the behavior of power series at the boundary of their interval of convergence to the limit of their coefficients, providing conditions under which the sum of the series converges to a given value.
-
A.
Cauchy–Hadamard theorem
The Cauchy–Hadamard theorem is a fundamental result in complex analysis that characterizes the radius of convergence of a power series in terms of the growth rate of its coefficients.
-
B.
Picard theorem
Picard theorem is a fundamental result in complex analysis stating that entire non-constant functions take on all possible complex values, with at most one exception.
-
C.
Limb’s Theorem
Limb’s Theorem is a contemporary dance work by choreographer William Forsythe that exemplifies his deconstructive, concept-driven approach to ballet and movement.
-
D.
Abel–Ruffini theorem
The Abel–Ruffini theorem is a fundamental result in algebra proving that there is no general solution in radicals for polynomial equations of degree five or higher.
-
E.
Weierstrass preparation theorem
The Weierstrass preparation theorem is a fundamental result in complex analysis and analytic geometry that locally expresses analytic functions near a zero as a product of a polynomial and a unit, enabling a power-series analogue of factorization.
- F. None of above. chosen
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Abel’s theorem
linked to: Abel’s theorem