uncountably many造句

• But why shouldn't exist uncountably many finite alphabets?
• In fact, the Cantor set contains uncountably many points.
• We will be left with uncountably many that are still non-empty.
• That is, are there uncountably many proper classes?
• Otherwise, there would be uncountably many solutions.
• If there exist uncountably many, as is the case, an identification is impossible.
• Bernhard Neumann has shown that there are uncountably many non-isomorphic two generator groups.
• In particular, there are uncountably many isomorphism classes of UHF C *-algebras.
• And yet at the same there are also uncountably many number you missed through any countable covering.
• Every point in the plane has uncountably many lines going through it ( of different slopes ).
• It can be extended from countably many hypotheses to uncountably many by replacing the sum by an integral.
• Moreover, every permutation of the index set leads to a natural isomorphism; they are uncountably many!
• So, for instance, there are nonstandard models of Peano arithmetic with uncountably many'natural numbers '.
• The existence of many noncomputable sets follows from the facts that there are only uncountably many sets of natural numbers.
• However, the product of uncountably many metrizable spaces, each with at least two points, fails to be first countable.
• For instance, there are uncountably many numbers whose decimal expansion does not contain the digit 5, and none of these are normal.
• It differs from ZF in that Z does not prove that the powerset operation can be iterated uncountably many times beginning with an arbitrary set.
• Therefore, a finite patch cannot differentiate between the uncountably many Penrose tilings, nor even determine which position within the tiling is being shown.
• Since \ mathcal { P } has \ aleph _ 0, that is, uncountably many distinct possible interpretations of \ mathcal { P }.
• There is only one differential structure on  ! except when " n " = 4, in which case there are uncountably many.