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However, there exist [[Semi-reflexive space|semi-reflexive]] countably barrelled spaces that are There exist σ-barrelled spaces that are not countably barrelled.{{sfn | Khaleelulla | 1 ...

There exist [[σ-barrelled space]]s that are not [[Mackey space]]s.{{sfn | Khaleelulla | There exist σ-barrelled spaces (which are consequently σ-quasi-barrelled spaces) that a ...

...lliamson conjecture''' is that Williamson matrices of order <math>n</math> exist for all positive integers <math>n</math>. It was once considered likely that Williamson matrices exist for all orders <math>n</math> ...

mean =Does not exist| variance =Does not exist| ...

...h>R</math> generate the unit ideal (they form a [[unimodular row]]), there exist some <math>t_1,...,t_n</math>in <math>R</math> such that the elements <math ...<math>v_1,...,v_m</math> in <math>R</math> generating the unit ideal there exist <math>t_2,...,t_m</math> in <math>R</math> such that <math>v_i - v_1t_i</ma ...

..., ... , ω_''n'' are said to be ''rationally dependent'' if there exist integers ''k''₁, ''k''₂, ... , ''k''_''n'', If such integers do not exist, then the vectors are said to be ''rationally independent''. This condition ...

...with <math>k\ge 3</math> have been found. It is known that if another does exist, it must be where <math>k > 20</math>.<ref name="Kostochka"/>]] ...ph theory]] which states that finite graphs with certain properties do not exist. ...

...visor]] (GCD). This definition is slightly more general than GCDs, and may exist in rings in which GCDs do not. Halter-Koch (1998) provides the following de ...

{{Sources exist|date=March 2019}} ...

...e three term recurrence or the [[Christoffel-Darboux formula]] hold. There exist however other recursion formulas for certain types of measures. *There exist a lot of literature for the case <math>n=1</math>. ...

...f:\Omega\mapsto \Complex</math> be a [[holomorphic function]]. Then, there exist holomorphic functions <math>g_1, \cdots, g_n</math> defined on <math>\Omega Then, there exist holomorphic functions <math>g_1, \cdots, g_n</math> defined on <math>\Omega ...

...ej Dujella]] showed that at most a finite number of diophantine quintuples exist.<ref name="Dujella">{{cite journal | title = There are only finitely many ...erx = 10.1.1.58.8571 }}</ref> In 2016 it was shown that no such quintuples exist by He, Togbé and Ziegler.<ref name="HTZ">{{cite journal | journal = [[Trans ...

Amorphous sets cannot exist if the [[axiom of choice]] is assumed. [[Abraham Fraenkel|Fraenkel]] const ...wever, the converse is not necessarily true: it is consistent for there to exist infinite Dedekind-finite sets that are not amorphous.<ref name="levy">{{cit ...

...eduled on the most loaded machine - <math> M_d</math>. In that case, there exist a machine that after job <math>x</math> was transfer, its load is less than === There exist job scheduling game where Price of anarchy is not bounded === ...

...s are [[Partition of a set|partitioned]] into finitely many subsets, there exist arbitrarily large sets of numbers all of whose sums belong to the same subs ...eory states that, for any finite partition of the positive integers, there exist three numbers ''x'', ''y'', and ''x''&nbsp;+&nbsp;''y'' that all belong to ...

The thermal center does not always exist. The TC is a function of the constraints. Picture B shows an example where The TC may exist even if the body has non-homogeneous isotropic thermal properties, but when ...

...ow M</math> such that <math>i^* \omega_1 = i^* \omega_2</math>. Then there exist ...ow M</math> such that <math>i^* \omega_1 = i^* \omega_2</math>. Then there exist ...

*[https://mathoverflow.net/q/11000 Do pushouts along universal homeomorphisms exist?] ...

{{unsolved|mathematics|Do there exist <math>2k</math>-cycle-free graphs (for <math>k</math> other than <math>2</m ...factors for some small values of&nbsp;''k'': for ''k'' = 2, 3, or 5, there exist graphs with {{math|&Omega;(''n''^{1 + 1/''k''})}} edges that have n ...

...rchive-date= }}</ref> (and likewise if something does not exist, it cannot exist). In the notation of modal logic, this can be written as <math>\phi \leftri ...