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Drinker paradox (993 words) [view diff] no match in snippet view article find links to article

The drinker paradox (also known as the drinker's theorem, the drinker's principle, or the drinking principle) is a theorem of classical predicate logic

Interpretation (logic) (4,411 words) [view diff] exact match in snippet view article

x(x=x)]\equiv \exists x[\forall y(y=y)\lor x=x]} fails in any structure with an empty domain. Thus the proof theory of first-order logic becomes more complicated

Connected relation (1,353 words) [view diff] exact match in snippet view article find links to article

A strict total order can never be strongly connected (except on an empty domain). A relation R{\displaystyle R} on a set X{\displaystyle X} is called

Proper convex function (868 words) [view diff] exact match in snippet view article find links to article

convex function is an extended real-valued convex function with a non-empty domain, that never takes on the value − ∞ {\displaystyle -\infty } and also

Ursescu theorem (2,249 words) [view diff] exact match in snippet view article find links to article

{R}}:X\rightrightarrows Y} be a closed convex multifunction with non-empty domain. Assume that span⁡(Im⁡R−y){\displaystyle \operatorname {span} (\operatorname

Local consistency (5,931 words) [view diff] exact match in snippet view article find links to article

propagation (enforcing a form of local consistency) might produce an empty domain or an unsatisfiable constraint. In this case, the problem has no solution

Injective function (2,499 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g.} Conversely, every injection f {\displaystyle f} with a non-empty domain has a left inverse g {\displaystyle g} . It can be defined by choosing

Section (category theory) (786 words) [view diff] exact match in snippet view article

category of sets, every monomorphism (injective function) with a non-empty domain is a section, and every epimorphism (surjective function) is a retraction;

Complete partial order (1,420 words) [view diff] exact match in snippet view article find links to article

where the least element is the nowhere-defined partial function (with empty domain). In fact, ≤ is also bounded complete. This example also demonstrates

Fake news in the Philippines (3,222 words) [view diff] no match in snippet view article find links to article

Down. DDS Files ddsfiles.xyz Down. Dedma Lang dedma.com Front page now empty. Domain still up. Definitely Filipino definitelyfilipino.com (down) news.definitelyfilipino

Czesław Lejewski (1,087 words) [view diff] exact match in snippet view article find links to article

∀xFx→(∃xFx){\displaystyle \forall x\,Fx\rightarrow (\exists x\,Fx)} will be true on an empty domain using the unrestricted interpretation, where 'c' still does not refer

Smoothed-particle hydrodynamics (9,291 words) [view diff] exact match in snippet view article find links to article

shapes becomes cumbersome. The 2 most popular approaches to populate the empty domain with ghost particles are Mirrored-Particles and Fixed-Particles. The

Function of several complex variables (17,583 words) [view diff] exact match in snippet view article find links to article

{C} ^{n}} is called a domain of holomorphy if there do not exist non-empty domain U ⊂ D {\displaystyle U\subset D} and V ⊂ C n {\displaystyle V\subset

Disappearance of Brianna Maitland (3,146 words) [view diff] exact match in snippet view article find links to article

active until at least 2009; after this, archives of the website show empty domain notices. However, archives for the years of 2010–2013 do not exist, so

Complexity of constraint satisfaction (4,444 words) [view diff] exact match in snippet view article find links to article

enforcing a form of local consistency and then checking the existence of an empty domain or constraint relation. This is in general a correct but incomplete unsatisfiability