Sentence examples for but which provided from inspiring English sources

In 1954 and 1956 he produced the two remarkable Nash embedding theorems, which are difficult to explain to non-mathematicians – they prove that "every Riemannian manifold can be isometrically embedded into some Euclidean space" – but which provided the basis for much subsequent mathematics.

Many Gorbals families were displaced in the 1960s into peripheral housing estates ("the schemes") such as Castlemilk, Drumchapel, Pollok and Easterhouse, where physical conditions were better but which provided no answer to the wider problems of deprivation.These places are not especially ugly.

There were a further 31 papers which cited other studies as the source of the tool used in the review, but which provided no information on why individual items had been chosen, or whether (or how) they had been modified.

Sequences not providing a predicted coding sequence using ESTScan but which provided a BLAST hit with an e-value less than 10e-5 were translated in the appropriate reading frame and added to the predicted protein set.

The reader begins to feel as if she is Amanda, tethered to a conversation that thrums with malevolence but which provides the only alternative to the void.

It is written as a journal that has been styled as a novel, which is a rather confusing concept but which provides the reader with a unique, refreshing style of writing.

She also has the Department of Parks, Recreation and Conservation's blessing to tilt the park's emphasis toward fostering biodiversity among the flora and fauna, a project that is perhaps more science than art, but which provides considerable room for creativity.

I'm also a big fan of two uncommon but related evergreen berrying shrubs which not only thrive in dry shade but which provide valuable and unusually long-lasting cut foliage for the house.

But a worsening of the economic crisis in the euro zone — which Britain is not part of, but which provides a major market for British exports — also hurt the nation's economy.

Addition of an element such as arsenic, an atom of which can also be substituted for a silicon atom in the crystal but which provides an extra valence electron (arsenic is a donor atom), releases its electron within the lattice.

It owes its sweetness to aspartame and acesulfame-K, a pair of chemicals that are far sweeter than ordinary sugar, but which provide the body with no energy at all.In this section Saccharin solution?