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not dense
Obviously, the GPS levelling points are not dense enough to produce a national levelling reference surface.
      
The image of the Torelli map from the moduli space of real genus 3 curves to the moduli space of real principally polarized abelian varieties of dimension 3 is not dense.
      
Together with recent conjectures by mathematicians it appears that rational conformal theories are not dense in the space of all conformal theories, and sometimes appear to be finite in number for Calabi-Yau n-folds for n>amp;gt;2.
      
However, R=RI itself is in general not dense in RMod.
      
Typical examples of dense rings are (arbitrary) products of matrix rings, whereas any commutative ring ≠0 is not dense.
      
We construct a family of infinite Markov systems on [-1, 1] with the property that the rational functions from these systems are not dense inC[-1, 1].
      
An example is given of a rational nodal curveX and an invertible sheaf ? of positive degree onX such that the set of all higher order Weierstrass points of ? is not dense inX.
      
The method presented here can be applied to operators whose domains are not dense.
      
Sims in 1972, by exhibiting an example of a Banach spaceX such that the numerical radius attaining operators onX are not dense.
      
Werner, on the bilinear version of the Bishop-Phelps theorem, by exhibiting an example of a Banach spaceX such that the set of norm-attaining bilinear forms onX×X is not dense in the space of all continuous bilinear forms.
      
This weight is somewhat exceptional, for it sits on the boundary between weights like exp(-|x|α), α≥1, where weighted polynomials are dense, and the case α>amp;lt;1, where weighted polynomials are not dense.
      
We present an example of a compact connected F-space with a continuous realvalued function f for which the set [InlineMediaObject not available: see fulltext.] is not dense.
      
striatum exist on the coral reef of the south west coast of Madagascar but natural beds are not dense enough to support high harvest pressure.
      
If the packing is not dense and not uniform, the thermal resistance of the holder increases and the accuracy of instrument calibration at the tail-end of the differential curve decreases by 10-20%.
      
The time span of this program has proven to be too short and the density of the station network to be not dense enough yet for reliable significant horizontal station velocities and supporting the earthquake hazard assessment.
      
Namely, we give examples of Ω such that(i)Lpl(Ω)∩L∞(Ω) is not dense inLpl(Ω),(ii)Lpl(Ω)∩L∞(Ω) is not a Banach algebra.(iii)the strong capacitary inequality for the norm inLpl(Ω) fails.
      
Let (A0, A1) be a compatible pair of quasi-Banach spaces and 1etA be a corresponding space of real interpolation type such thatA0∩A1 is not dense inA.
      
These are near hexagons which are not dense and not a generalized hexagon in which each line is incident with exactly three points.
      
A weighted Sobolev space is constructed in which smooth functions are not dense and their closure is of codimension one.
      
If so, the loss of savanna-woodland, not dense forest, may have been an important factor in the subfossil extinctions.
      
 

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