Quotes About Spaces

Modules are to rings as vector spaces are to fields. In other words, they are algebraic structures where the basic operations are addition and scalar multiplication, but now the scalars are allowed to come from a ring rather than a field.

Compactness is a powerful property of spaces, and it is used in many ways in many different areas of mathematics. One is via appeal to local-to-global principles: one establishes local control on a function, or on some other quantity, and then uses compactness to boost the local control to global control.

if X and Y are two topological spaces and if f : X ? Y is a function between them, then we simply define f to be continuous if f-1 (U) is open for every open set U ? Y. Remarkably, we have found a useful definition of continuity that does not rely on a notion of distance.

It is the mythic experience, the mythic imagination that opens, reveals depth and mystery, which places the human in the context of the nonhuman, and so, forces retreat, humility, and awe, in the presence of spaces beyond our will.

Has any botanist set down what the seed of love is? Has it anywhere been set down in how many ways this seed may be sown? In what various vessels of gossamer it can float across wide spaces? Or upon what different soils it can fall, and live unknown, and bide its time for blooming?

My aesthetic sense was formed at a young age by what surrounded me: the narrow residential spaces of Japan and the mental escapes from those spaces that took the forms of manga and anime.

Memory is a kind of accomplishment, a sort of renewal even an initiation, since the spaces it opens are new places inhabited by hordes heretofore unrealized, of new kinds? since their movements are towards new objectives (even though formerly they were abandoned).

Time, the spaces of light and dark, had long since lost orderliness.

Trains in these parts went from East to West, and from West to East . . . On either side of the railway lines lay the great wide spaces of the desert - Sary-Ozeki, the Middle lands of the yellow steppes. In these parts any distance was measured in relation to the railway, as if from the Greenwich meridian . . . And the trains went from East to West, and from West to East . . .

The homes I like the best are totally occupied, busy, and useful, whether it's a tiny little house or a great big one. Rarely do you find a great big house that's used in a good way. So I prefer smaller spaces that are full of books, full of things that people are doing.

And me?" Daphne prompted. "You go with Abe because you're the one who knows how to get a read on people based on their living spaces." "Oh, wow," Daphne said. "I get to play forensic designer." "I see a book and possibly a TV reality show in this," Madeline said. "Stick with me, kid." Daphne pushed herself up from the table. "I'm headed for the big time.

All these old ultra-Leftists thwarted (by History), unclear where they are on the Left–Right spectrum, and ending up writing with both hands – from left to right, of course - in the hope of one day painting spaces of freedom for themselves with their toes.

Beauty is my heritage and my core. But my passion is design for the spaces where we live and work.

Galleries began growing in both number and size in the late seventies, when artists who worked in lofts wanted to exhibit their work in spaces similar to the ones the art was made in.

Gentrification is stripping people not only of their homes but also of their dignity and their lives, and it is effectively whitening public spaces.

Art is more than a series of images that are disembodied. Art is objects that live in real places, economies, spaces, architecture.

What's interesting about art in public spaces is that the public really sort of takes over and uses it in ways that you didn't anticipate.

The green spaces in Pyongyang were immense and many in number, but not as immense as the monuments.

In the garden of Paradise, who was the monster and who was not? between the houses and apartments, and in the elevated spaces between the high buildings, in that hanging garden - who is, and who is not? how long can I stand not at least knowing what is looking at me? the raw roach is looking at me and its law sees mine

He saw that it was the gaps that were important, the spaces between the threads which made the pattern, and not the threads themselves.

I guess because there aren't many women working in the kind of variety of spaces that I've had the opportunity and privilege to kind of work in, that there is this extreme scrutiny about my career.

There were a series of moments when I decided that art was important, and it was an important vehicle for me to express my interest in spaces.

Loft living is the antithesis of suburban domesticity, if only because the open spaces don't easily accommodate family life. Lofts also offer residents the opportunity - and responsibility - to structure their own space to reflect what's important to them.

The common-sense notion that 'There is a time and place for everything' gets carried into a set of prescriptions which replicate the social order by assigning social meanings to spaces and times.