Vector Space Quotes

My earliest memories are of CP4 - that's a Kähler manifold that looks locally like a vector space with four complex directions, though the global topology's quite different. But I didn't really grow up there; I was moved around a lot when I was young, to keep my perceptions flexible. I only used to spend time in anything remotely like this" - he motioned at the surrounding more-or-less-Euclidean space - for certain special kinds of physics problems. And even most Newtonian mechanics is easier to grasp in a symplectic manifold; having a separate visible coordinate for the position and momentum of every degree of freedom makes things much clearer than when you cram everything together in a single three-dimensional space. ~ Greg Egan

Thus, an index built for vector space retrieval cannot, in general, be used for phrase queries. Moreover, there is no way of demanding a vector space score for a phrase query - we only know the relative weights of each term in a document. ~ Prabhakar Raghavan

I don't know why religious zealots have this compulsion to try to convert everyone who passes before them – I don't go around trying to make them into St Louis Cardinals fans, for Christ's sake – and yet they never fail to try.
Nowadays when accosted I explain to them that anyone wearing white socks with Hush Puppies and a badge saying HI! I'M GUS! probably couldn't talk me into getting out of a burning car, much less into making a lifelong commitment to a deity, and ask them to send someone more intelligent and with a better dress sense next time, but back then I was too meek to do anything but listen politely and utter non-committal 'Hmmmm's' to their suggestions that Jesus could turn my life around. Somewhere over the Atlantic, as I was sitting taking stock of my 200 cubic centimetres of personal space, as one does on a long plane flight, I spied a coin under the seat in front of me, and with protracted difficulty leaned forward and snagged it. When I sat up, I saw my seatmate was at last looking at me with that ominous glow.
'Have you found Jesus?' he said suddenly.
'Uh, no, it's a quarter,' I answered and quickly settled down and pretended for the next six hours to be asleep, ignoring his whispered entreaties to let Christ build a bunkhouse in my heart. ~ Bill Bryson

And whatever troubled him and showed in his face might have been the same old trouble - the problem of occupying space in the world and having a name people could call you by, being somebody they thought they could know ~ Aldous Huxley

I consider myself really lucky to be able to visit so many parts of the world, but after all of that, I love to come home. I appreciate my own space and the world I create for myself, my family and friends. ~ Kylie Minogue

When you drop your unnecessary things, you finally can swoop and fly in vast space. It is so blue, so bright, and so nice, so airy and fresh. You can stretch your wings and breathe the air. You can do anything you want. You have experienced cheerfulness and joy, and finally the bliss of freedom occurs in you. ~ Chogyam Trungpa

The suffix 'naut' comes from the Greek and Latin words for ships and sailing. Astronaut suggests 'a sailor in space.' Chimponaut suggests 'a chimpanzee in sailor pants'. ~ Mary Roach

In an asana, the mind has to reach inside the body to find a quiet space until a point comes where perfect balance is felt. ~ Geeta Iyengar

She rattled around that huge house, growing more and more used to being on her own, resenting his presence more and more when he was back for the weekends, feeling like he was invading her space.
They became like strangers, ships that pass in the night, not able to agree on anything, not having any common ground ~ Jane Green

Quantum wall creates the time, temperature and space - kind of optical delusion of quantum consciousness. ~ Amit Ray

A chair is not just a product of decorative art in a space, it is a form and a space in itself ~ Finn Juhl

The more the ensemble, the duet or the forty piece orchestra, plays as one person, the more it makes people dance, because you're back in the womb. You feel mom's heartbeat. It makes you move. It reminds you of that warm, groovy space you were in. ~ John Densmore

Still now I send letters into space
Hoping that some mailman somewhere will track you down
And recognise you from the descriptions in my poems
That he will place the stack of them in your hands and tell you,
There is a girl who still writes you, she doesn't know how not to ~ Sarah Kay

People need space; families need air; love needs light. Like Mrs. Anastagio always said, ―You need enough rooms to love someone properly. ~ Damon Suede

Now we, if not in the spirit, have been caught up to see our earth, our mother, Gaia Mater, set like a jewel in space. We have no excuse now for supposing her riches inexhaustible nor the area we have to live on limitless because unbounded. We are the children of that great blue white jewel. Through our mother we are part of the solar system and part through that of the whole universe. In the blazing poetry of the fact we are children of the stars. ~ William Golding

We're all on our own, aren't we? That's what it boils down to.

We come into this world on our own- in Hawaii, as I did, or New York, or China, or Africa or Montana- and we leave it in the same way, on our own, wherever we happen to be at the time- in a plane, in our beds, in a car, in a space shuttle, or in a field of flowers.

And between those times, we try to connect along the way with others who are also on their own.

If we're lucky, we have a mother who reads to us.

We have a teacher or two along the way who make us feel special.

We have dogs who do the stupid dog tricks we teach them and who lie on our bed when we're not looking, because it smells like us, and so we pretend not to notice the paw prints on the bedspread.

We have friends who lend us their favorite books.

Maybe we have children, and grandchildren, and funny mailmen and eccentric great-aunts, and uncles who can pull pennies out of their ears.

All of them teach us stuff. They teach us about combustion engines and the major products of Bolivia, and what poems are not boring, and how to be kind to each other, and how to laugh, and when the vigil is in our hands, and when we have to make the best of things even though it's hard sometimes.

Looking back together, telling our stories to one another, we learn how to be on our own. ~ Lois Lowry

I think it could be argued that I am not heard, in the broadest sense. That is not my concern. My concern, a question really, is, do I have the courage to speak? If I speak I believe someone will respond. It then becomes my responsibility to listen to that person. And in listening, together we create a space where people can be heard. It's the conversation that I care most deeply about; this is the space I want to honor, respect, and protect. This is my faith in the open space of democracy. ~ Terry Tempest Williams

she's in town, I'll find her." Michael grabbed hold of her, brushing his hand against her hair and kissed her affectionately. "Thanks, Em. I know we said we'd give her some space, but we'd feel a lot better if we just knew she was okay." He walked her to the front door. Emily moved to leave, but he grabbed her again planting another kiss. ~ Starla Silver

The other, the other aspect when I say I'm an actor is that as an actor you make this imaginative leap into being somebody else, that's to say the muscle of the imagination is as important as any other of the muscles in your body, and so it is something about this instinct in space and time which for me I associate with being an actor rather than a director. ~ Simon McBurney

I think going into space would be like going deep into the ocean, like 5,000 meters down. When you go down that far, it's just awfully black. There's not much there except mud and some particles. I imagine space would be a similar thing. The only difference is you're hoping to bump into some sort of intelligent extraterritorial being. ~ Ridley Scott

Love reached across space and time to find you. You are the smile of a million stars. ~ Gillian Duce

Do you need help with anything?" he asked with a wicked arched brow. "Maybe with cookies for Santa."
Scowling because no one was here but us, I said, "You're a bit late for that. Santa already came."
He hadn't moved, but I knew better than to think he would. Flynn was a pro at filling the bubble air space that was meant to be private and personal. "And were you a good girl?" he asked.
Awkwardly folding my arms over my chest, I said, "Not sure, I haven't checked. But you needn't look. We all know you are all bad."
Laughing, he said, "Yeah, well, there are other things worth unwrapping."
Grinding my teeth, I asked, "What, you didn't get your Ho, Ho, Ho, last night?"
Tossing back another full belly laugh, he said, "You know you're kind of funny when you want to be. ~ Shannon Dermott

We are limited only by our imagination and our will to act. ~ Ron Garan

In his first philosophical lecture on modern physics that Pauli gave in November 1934 to the Zurich Philosophical Society he said that only a formulation of quantum theory would be satisfactory which expresses the relation between the value of [the fine structure constant] and charge conservation in the same complementary was as that between the space-time description and energy-momentum conservation. ~ Charles P. Enz

As I had to do whenever I glimpsed this river, I thought of Phineas. Not of the tree and pain, but of one of his favorite tricks, Phineas in exaltation, balancing on one foot on the prow of a canoe like a river god, his raised arms invoking the air to support him, face transfigured, body a complex set of balances and compensations, each muscle aligned in perfection with all the others to maintain this supreme fantasy of achievement, his skin glowing from immersions, his whole body hanging between river and sky as though he had transcended gravity and might by gently pushing upward with his foot glide a little way higher and remain suspended in space, encompassing all the glory of the summer and offering it to the sky. ~ John Knowles

The thing about hip-hop today is it's smart, it's insightful. The way they can communicate a complex message in a very short space is remarkable. ~ Barack Obama

That life.
This life.
It looks as if you can have both. I mean, they're both right there, one on top of the other, and it looks as if they'll blend.
But they never will.
So, you take this thing.
You take this thing you want,
and you put it in a box
and you close the lid.
You can let your fingers trace the cracks, the places where the light gets in, the dark gets out, but the lid stays on. You don't look inside. You don't look at this thing you want so much, because you can. Not. Have. It.
So you there's this box, you know, with the thing inside, and you could throw it away or shoot it into space; you could set it on fire and watch it burn to ashes, but really, none of that would make a difference, because you cannot destroy what you want. It only makes you want it more.
So.
You take this thing you want
and you put it in a box
and you close the lid.
And you hold the box close to your heart, which is where it wants to go, and you pretend it doesn't kill you every time you feel yourself breathe. ~ Megan Hart

Finally, she grew quiet. After that, coherent thought. With this, stalked through her a cold, bloody rage; Hours of this; a period of introspection; a space of retrospection; then a mixture of both. Out of this, an awful calm. ~ Zora Neale Hurston

Ordinary moments make the life. This is what she knew to be trustworthy and this is what I learned, eventually, from those years we spent together. No leaps or falls. I inhale the little drizzly details of the past and know who I am. What I failed to know before is clearer now, filtered up through time, an experience belonging to no one else, not remotely, no one, anyone, ever. I watch her use the roller to remove lint from her cloth coat. Define coat, I tell myself. Define time, define space. ~ Don DeLillo

past is like an history which no matter how much you try hide , it will always resurface but when u let go of create more space for a better tommorow... ~ Oloruntofunmi Kolade

Painting is about the beauty of space and the power of containment. ~ Sam Francis

Space travel is the only technology that is more dangerous and more expensive now than it was in its first year. Fifty years after Yuri Gagarin, the space shuttle ended up being more dangerous and more expensive to fly than those first throwaway rockets, even though large portions of it were reusable. It's absurd. ~ Burt Rutan

But passion and pride rarely occupy the same space. ~ Jennie Fields

Before you post online ask yourself two crucial questions: Does my content add to the space; or, is it just clouding the feed? ~ Germany Kent

He really is a first-class waste of space, isn't he ?"
"Thank you" I said. It's nice when the people you love share your opinions.
"You're welcome," Dad said. "And the cartwheels would seem to imply that the new model's a good thing ?"
I looked at him with something close to shock. My father and I have a very satisfactory system in place, based on the unspoken agreement that I won't tell him about my love life and he won't ask. All that sort of carry-on is Mum's department, and she advises Dad on a need-to-know basis. "Um, yes," I said.
"Very good," said Dad and, clearly appalled at having strayed so far into this emotional minefield, he began to brush his teeth with most unnecessary vigour. ~ Danielle Hawkins

In the middle of the swinging sixties people in England were apparently under some sort of obligation to have a good time and most of them didn't. A Russian and an American walked about in space to no one's particular advantage. The Beatles received their British Empire medals and, so it was said, smoked cannabis in the lavatories at Buckingham Palace. American aeroplanes were bombing Vietnam, but no one seemed to talk about the nuclear holocaust any more. ~ John Mortimer

I must recall the precise feelings that have nurtured the present circumstances, when nothing at all from outside interfered, not even thoughts of time past, present, or time future, when doubts of my own reality have dwindled away. Isn't there a moment caught between two moods, that space within, separated from life, as well as death, when the sun is faced without blinking, when eternity lies here inside; no division whatsoever, simply a series of circular motivations. But these hands with their veins from a leaf, there is no separation, only a distasteful similarity. Why though search for proof? Surely I'm not philosopher to analyse the value of reality as opposed to idea, and what is gained by delving into such linguistic labyrinths? Definitely the supreme action is to dispose of the mind, bring reality into something vital, felt seen, even smelt. ~ Ann Quin

It is odd that we never question the feasibility of a football team practicing long hours for one game; yet in writing we rarely give ourselves the space for practice. ~ Natalie Goldberg

Despite the universality of this change, which we're all buffeted by, there is a single, seemingly small change that I'll be most sorry about. It will sound meaningless, but: One doesn't see teenagers staring into space anymore. Gone is the idle mind of the adolescent. ~ Michael Harris

Travel is the realm of the impossible adventures, the quick fix, the ship passing in the night. It entitles you to meet interesting people, whom you would never meet, even if you laid traps or advertised for them. Not only do you met them, but you also unmeet them, all in the space of, it often seems, a mere compacted evening. As there is so little time, bodies in motion drop their guard and immediately get on with their stories. Then the proverbial ships part, each to its destination, never again to brush each other's wake. ~ Lawrence Millman

You're sending him to space under a tarp." "Pretty much, yeah." "Like a hastily loaded pickup truck." "Yeah. Can I go on?" "Sure, can't wait. ~ Andy Weir

Our Earth is taking part in a fantastic cosmic ballet. First, it pulls us through space at a speed of nearly twenty miles per second during its annual journey around the Sun. The Sun then drags the Earth with it during its voyage through the Milky Way at a speed of 140 miles per second. The Milky Way is falling in turn at approximately fifty-five miles per second toward Andromeda. And there's more to come. The Local Group that contains our galaxy and Andromeda is falling at about 375 miles per second toward the Virgo cluster of galaxies, which is in turn moving toward a large complex of galaxies called the Great Attractor. ~ Matthieu Ricard

You enjoyed your honeymoon?"
Christ, she thought, when was someone going to ask if she'd enjoyed being fucked around the world and into outer space? "Yes, sir. Thank you. ~ J.D. Robb

Aren't we straying as though through an infinite nothing? Isn't empty space breathing at us? ~ Friedrich Nietzsche

And the beautiful open spaces, the forests of Pennsylvania, the recreational uses that come from having these green open spaces and forests, they contribute dramatically to the level of our tourism, dramatically. ~ Ed Rendell

I hope there will be continued U.K. investment in human spaceflight to enable Britain to benefit from space travel in the longer term and that many more Britons - women and men - will travel into space. ~ Helen Sharman

As we walked, Lara ratted off statistics that I only half listened to. They were unbelievable anyway.
Over a million cubic feet of living space. More than three hundred rooms, thirty-one of which were kitchens. Ninety-eight bathrooms. Three hundred and fifty-nine windows. Two thousand four hundred and seventy-six lightbulbs. ~ Rachel Hawkins

Mal took a single tentative step toward me. Then he closed the space between us in two long strides. One hand slid around my waist, the other cupped my face. Gently, he titled my mouth up to his.
"Come back to me," he said softly. He drew me to him, but as his lips met mine, something flickered in the corner of my eye. ~ Leigh Bardugo

And we're not lost."
We are so fucking lost. Literally adrift in the nothing space between universes. ~ Blake Crouch

The concept of 'different' confines to nothing but mobility. We can be both commonplace and unique depending on the ground we occupy and the people we engage with. ~ Jay Mark Mateo Balmes

Thanks to art, instead of seeing one world only, our own, we see that world multiply itself and we have at our disposal as many worlds as there are original artists, worlds more different one from the other than those which revolve in infinite space, worlds which, centuries after the extinction of the fire from which their light first emanated, whether it is called Rembrandt or Vermeer, send us still each one its special radiance. ~ Marcel Proust