LYM inequality
E1463328
UNEXPLORED
The LYM inequality is a fundamental result in extremal set theory that bounds the size of an antichain in a finite Boolean lattice by relating it to binomial coefficients.
All labels observed (1)
| Label | Occurrences |
|---|---|
| LYM inequality canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T21046820 — 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: LYM inequality Context triple: [Sperner family, relatedConcept, LYM inequality]
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A.
Hardy–Littlewood–Pólya inequality
The Hardy–Littlewood–Pólya inequality is a fundamental result in majorization theory and inequalities that characterizes how convex functions behave under rearrangements of sequences or vectors.
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B.
Brunn–Minkowski inequality
The Brunn–Minkowski inequality is a fundamental result in convex geometry and analysis that relates the volumes of sets in Euclidean space to the volume of their Minkowski sum, underpinning many isoperimetric and functional inequalities.
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C.
Muirhead's inequality
Muirhead's inequality is a fundamental result in symmetric inequalities that compares sums of symmetric power terms of variables based on majorization of exponent sequences.
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D.
Karamata's inequality
Karamata's inequality is a fundamental result in majorization theory that generalizes several classical inequalities by comparing sums of convex (or concave) functions over majorized sequences.
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E.
Riesz rearrangement inequality
The Riesz rearrangement inequality is a fundamental result in mathematical analysis that provides an optimal bound for integrals of products of functions in terms of their symmetric decreasing rearrangements.
- 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: LYM inequality Target entity description: The LYM inequality is a fundamental result in extremal set theory that bounds the size of an antichain in a finite Boolean lattice by relating it to binomial coefficients.
-
A.
Hardy–Littlewood–Pólya inequality
The Hardy–Littlewood–Pólya inequality is a fundamental result in majorization theory and inequalities that characterizes how convex functions behave under rearrangements of sequences or vectors.
-
B.
Brunn–Minkowski inequality
The Brunn–Minkowski inequality is a fundamental result in convex geometry and analysis that relates the volumes of sets in Euclidean space to the volume of their Minkowski sum, underpinning many isoperimetric and functional inequalities.
-
C.
Muirhead's inequality
Muirhead's inequality is a fundamental result in symmetric inequalities that compares sums of symmetric power terms of variables based on majorization of exponent sequences.
-
D.
Karamata's inequality
Karamata's inequality is a fundamental result in majorization theory that generalizes several classical inequalities by comparing sums of convex (or concave) functions over majorized sequences.
-
E.
Riesz rearrangement inequality
The Riesz rearrangement inequality is a fundamental result in mathematical analysis that provides an optimal bound for integrals of products of functions in terms of their symmetric decreasing rearrangements.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.