Alternatively, this may be taken as a definition of " precompactness ", while still using a separate definition of total boundedness.
32.
Interestingly the boundedness of the Riesz transforms implies that the latter inequality gives a unified way to write the family of inequalities for the Riesz potential.
33.
He proved several fundamental problems such as Shokurov's conjecture on boundedness of complements and Borisov-Alexeev-Borisov conjecture on boundedness of Fano varieties.
34.
He proved several fundamental problems such as Shokurov's conjecture on boundedness of complements and Borisov-Alexeev-Borisov conjecture on boundedness of Fano varieties.
35.
The definition of boundedness can be weakened a bit; " E " is bounded if and only if every countable subset of it is bounded.
36.
Likewise, " bounded complete lattice " is almost unambiguous, since one would not state the boundedness property for complete lattices, where it is implied anyway.
37.
This clause boundedness somewhat restricts the QR . May also noticed a subject-object asymmetry with respect to the interaction of wh-words and quantifier phrases.
38.
The statement is no longer true when the boundedness condition is relaxed to even \ | T \ | _ \ infty \ le 1 + \ varepsilon.
39.
The Uniform Boundedness Conjecture is not known even for quadratic polynomials " x " 2 + " c " } } over the rational numbers.
40.
S . K . Sen and S . Ramakrishnan, Concise algorithms for linear programs in Matlab : Monotonic convergence, basic variables, boundedness, presented in Proc.
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