Sentence examples for fundamental spaces from inspiring English sources

It is well known that Besov spaces contain a large number of fundamental spaces, such as Sobolev spaces, Hölder spaces, Lipschitz spaces etc. [3, 4].

Two types of fundamental spaces of differential forms on infinite dimensional topological vector spaces are considered; one is a fundamental space of Hida′s type and the other is one of Malliavin′s.

Besov spaces are a much more general tool in describing the smoothness properties of functions and contain a large number of fundamental spaces such as Sobolev spaces, Hölder spaces, Lipschitz spaces, etc. [17].

Could there be an even more fundamental space-time symmetry in the world of microscopic particles?

Ms. Garver and other NASA officials argued that devoting the rocket money to more fundamental space technologies would actually speed future human exploration of the solar system.

"Those experiments did not present results that were as dramatic as what the Japanese are reporting now with the cherry trees," Marshall Porterfield, who oversees NASA's Fundamental Space Biology division, told NPR.

"Living in a time with so much demographic and technological change that is directly affecting domestic environments, artists and architects alike are aware that here is fundamental space -- domestic space -- that can't be taken for granted in its meaning," said Joel Sanders, an architect.

But there's one fundamental space out of which it has yet to take a bite.

Geodetic very-long-baseline interferometry (VLBI, (Schuh and Behrend (2012)) is one of the fundamental space geodetic techniques.

Better understanding of the time space structure of polar ionospheric currents and in particular their improved modelling are therefore of great importance, not only for advances in fundamental space research but also regarding practical applications.

Moreover, it is shown that, under some conditions, the fundamental space of Hida′s type is nuclear as a complete countably normed space, while that of Malliavin′s in the L2 sense is not.