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gptkbp:instanceOf
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gptkb:academic
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gptkbp:appliesTo
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economics
functional analysis
operations research
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gptkbp:developedBy
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gptkb:R._Tyrrell_Rockafellar
gptkb:Claude_Lemaréchal
gptkb:Jean-Baptiste_Hiriart-Urruty
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gptkbp:fieldOfStudy
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gptkb:mathematics
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gptkbp:hasConcept
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gptkb:Hahn–Banach_theorem
gptkb:Jensen's_inequality
gptkb:Carathéodory's_theorem
gptkb:Minkowski_sum
gptkb:Farkas'_lemma
gptkb:Krein–Milman_theorem
gptkb:Legendre-Fenchel_transform
gptkb:Slater's_condition
gptkb:convex_envelope
epigram
convex hull
convex combination
convex polytope
convex optimization
Lagrange duality
indicator function
extreme point
support function
gauge function
affine set
convex closure
convex cone
polyhedral set
recession cone
separation of convex sets
subgradient
sublevel set
supporting hyperplane
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https://www.w3.org/2000/01/rdf-schema#label
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Convex Analysis
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gptkbp:includes
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gptkb:Fenchel_conjugate
duality theory
separation theorems
subdifferential calculus
supporting hyperplane theorem
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gptkbp:notableBook
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gptkb:Convex_Analysis_(book_by_R._Tyrrell_Rockafellar)
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gptkbp:relatedTo
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optimization
convex sets
convex functions
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gptkbp:studies
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properties of convex functions
properties of convex sets
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gptkbp:usedIn
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gptkb:machine_learning
gptkb:signal_processing
control theory
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gptkbp:bfsParent
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gptkb:Terry_Rockafellar
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gptkbp:bfsLayer
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5
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