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Doignon's theorem in geometry is an analogue of Helly's theorem for the integer lattice. It states that, if a family of convex sets in d {\displaystyle
Doignon's_theorem
Theorem about the intersections of d-dimensional convex sets
Carathéodory's theorem Doignon's theorem Kirchberger's theorem Shapley–Folkman lemma Krein–Milman theorem Choquet theory Radon's theorem, and its generalization
Helly's_theorem
Equivalence of distributive lattices and set families
similarly named results, see Birkhoff's theorem (disambiguation). In mathematics, Birkhoff's representation theorem for distributive lattices states that
Birkhoff's representation theorem
Birkhoff's_representation_theorem
Mathematical optimization problem restricted to integers
Lenstra, combining ideas by László Lovász and Peter van Emde Boas. Doignon's theorem asserts that an integer program is feasible whenever every subset
Integer_programming
Concept in education theory
a human learner. Knowledge spaces were introduced in 1985 by Jean-Paul Doignon and Jean-Claude Falmagne, and remain in extensive use in the education
Knowledge_space
French mathematician and quantitative psychology researcher
decision theory, and educational technology. Together with Jean-Paul Doignon, he developed knowledge space theory, which is the mathematical foundation
Jean-Claude_Falmagne
Numerical ordering with a margin of error
special case of the interval graphs. Luce (1956), p. 179. Luce (1956), Theorem 3 describes a more general situation in which the threshold for comparability
Semiorder
Isometric subgraph of a hypercube
of graphs, was followed by Kuzmin & Ovchinnikov (1975) and Falmagne & Doignon (1997), among others. Every tree is a partial cube. For, suppose that a
Partial_cube
thus can circumvent impossibility results like Arrow's theorem and the Gibbard-Satterthwaite theorem. From a computational perspective, such domain restrictions
Computational_social_choice
Mathematical system of orderings or sets
Theorems 1.7 and 1.9; Armstrong (2009), Theorem 2.7. Edelman (1980), Theorem 3.3; Armstrong (2009), Theorem 2.8. Monjardet (1985) credits a dual form
Antimatroid
DOIGNONS THEOREM
DOIGNONS THEOREM
DOIGNONS THEOREM
Girl/Female
Latin
A Roman priestess.
Surname or Lastname
English
English : occupational name for a watchman, from Middle English, Old French gaite ‘watchman’.
Boy/Male
Hindu, Indian, Sanskrit
The Father
Girl/Female
Muslim/Islamic
Dress of heaven
Girl/Female
Muslim
Perfume
Girl/Female
Muslim
Happiness
Boy/Male
Gaelic, Hindu, Indian, Irish
Rough; Small Rough One
Boy/Male
Arabic, Muslim
Pleasure of the Beneficent
Girl/Female
Tamil
Oneness
Surname or Lastname
English (Sussex and Kent)
English (Sussex and Kent) : topographic name for someone who lived by a stream, from Old English lacu ‘stream’ (see Lake) + the suffix -er denoting an inhabitant.
DOIGNONS THEOREM
DOIGNONS THEOREM
DOIGNONS THEOREM
DOIGNONS THEOREM
DOIGNONS THEOREM
a.
Alt. of Theorematical
n.
That which is considered and established as a principle; hence, sometimes, a rule.
n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
a.
Containing many names or terms; multinominal; as, the polynomial theorem.
a.
Haughty; disdainful.
n.
A statement of a principle to be demonstrated.
n.
A numerical coefficient in any particular case of the binomial theorem.
a.
Theorematic.
a.
Of or pertaining to a theorem or theorems; comprised in a theorem; consisting of theorems.
v. t.
To formulate into a theorem.
n.
One who constructs theorems.
n.
A theorem or proposition so easy of demonstration as to be almost self-evident.