Sentence examples for there subsists from inspiring English sources

Then there subsists a unique non-empty (mathfrak{fns} -element (Omega^{zeta} -element_{B}) such that (UpsilOmega^{zeta}ta}_{A}inPsi_{^{zeta}_{A}).

For this purpose, consider that there subsists (Omega^{zeta}_{A}inPsi_{D}) such that (Omega^{zeta}_{A}) is not an (mathfrak{fns} -element of (Upsilon(Psi_{D} -element

An (mathfrak{fns} -topological space ((Omega_{A} -topologicalthfrak{fnspaceOmega_{if for every (mA}hfrak{fns})-open cover ({Omega_{alpha}}_{alphain I}) of (Omega_{B}) there subsists (alpha_{1},tauha_{2},alpha_{3},ldots,alpha_{k} is I, kin N) such that (Omathfrak{fnsbseteqbigsqcup^{k} -compactga_{alpha_{n} -compact

People there subsist on fishing and have no sewage treatment facilities.

Researchers speculate that primitive life could eke out an existence there, subsisting on a bare minimum of dissolved organic carbon--a notion bolstered by the recent discovery of bacteria within refrozen ice in a core drilled to 100 meters above the lake under Vostok Station (ScienceNOW, 9 December 1999).

There he subsisted on berries and nuts while nurturing prolonged ecstasies fuelled by nature walks and by literature, especially the poetry of Shelley.

Bacteria, diatoms, and other organisms spend their winters there, presumably subsisting on a bare minimum of nutrients.

For centuries, man and beast subsisted there in a tight symbiotic embrace.

Thus, if a "larger amount of actual representation is raised into consciousness than can subsist there [all at once]", the result is an "ebullient" affect (SW VI: 75).[52] By contrast, if a larger mass is banished beneath the limen, the psychic barometer falls as well, resulting in a "melting" affect (SW VI: 75).

While a good portion of its repertory subsists on a certain manic jitteriness, there is little daring about it.

Whether there is or is not a creator who subsists completely outside of the universe cannot be proven or disproven by any means, scientifically or otherwise.