uncountably infinite造句

• The real numbers are uncountably infinite, whereas the rational numbers are countable.
• If the image is uncountably infinite then X is called a continuous random variable.
• There are uncountably infinite elements in the basis.
• In general, a game with uncountably infinite strategy sets will not necessarily have a Nash equilibrium solution.
• Infinite divisibility does not imply gap-less-ness : the rationals do not enjoy the uncountably infinite.
• This shows in particular that the number of distinct Penrose tilings ( of any type ) is uncountably infinite.
• However, there exist uncountably infinite graphs with only one end in which every spanning tree has infinitely many ends.
• The existence of transcendental numbers was first established by countably infinite, so there is an uncountably infinite number of transcendental numbers.
• Bailey and Crandall show an explicit uncountably infinite class of " b "-normal numbers by perturbing Stoneham numbers.
• In that case, I think the vector is still uncountably infinite, but again I don't know the bijection.
• Since there are an uncountably infinite number of vector components in the basis, this is an uncountably infinite-dimensional Hilbert space.
• Since there are an uncountably infinite number of vector components in the basis, this is an uncountably infinite-dimensional Hilbert space.
• These can be sorted into two uncountably infinite subsets : those which contain " Hamlet " and those which do not.
• Disappointed, Bender sighs in sadness and claims that it was'the greatest uncountably infinite bunch of guys I ever met '.
• :: So you need something that's logically more complex than a turing machine to work problems that involve uncountably infinite stuff.
• When there is an uncountably infinite collection of formulas, the Axiom of Choice ( or at least some weak form of it ) is needed.
• However, this approach does not work well in cases where the sample space is uncountably infinite ( most notably when the outcome must be some real number ).
• For example, A could be a finite list of abstract elements, an uncountably infinite ( and possibly non-convex ) collection of real-valued vectors, and so on.
• However, this approach does not work well in cases where the sample space is uncountably infinite, most notably when the outcome is a Events in probability spaces ", below ).
• So the Cantor set is not empty, and in fact contains an uncountably infinite number of points ( as follows from the above description in terms of paths in an infinite binary tree ).