A Quote by Maryam Mirzakhani

Sometimes, properties of a fixed hyperbolic surface can be better understood by studying the moduli space that parameterises all hyperbolic structures on a given topological surface.

Maryam Mirzakhani

Quote Topics

Space Better Fixed Given Properties Sometimes Structures Studying Surface Understood

Quote Author

Maryam Mirzakhani
Iranian - Mathematician
May 12, 1977 - July 14, 2017

One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.

Margaret Wertheim

It turns out that hyperbolic structures are very common in nature, and the place where lots of people encounter them is coral reefs. Sea slugs, and a lot of other organisms with frilly forms, are biological manifestations of hyperbolic geometry, which is also found in the structure of lettuce leaves and kales, and some species of cactus.

Margaret Wertheim

It would be nice if we could design a virtual reality in Hyperbolic Space, and meet each other there.

Donald Knuth

You can't get at the thing itself, the real nature of the sitter, by stripping away the surface. You can only get beyond the surface by working with the surface. All that you can do is manipulate that surface - gesture, costume, expression - radically and correctly.

Richard Avedon

People don't understand that the feel of the surface is so important for a footballer. The ball travels on the surface; our feet move on the surface - all of that goes into how the game is actually played.

Abby Wambach

Sometimes people are layered like that. There's something totally different underneath than what's on the surface. But sometimes, there's a third, even deeper level, and that one is the same as the top surface one. Like with pie.

Joss Whedon

I would like to start by emphasizing the importance of surfaces. It is at a surface where many of our most interesting and useful phenomena occur. We live for example on the surface of a planet. It is at a surface where the catalysis of chemical reactions occur. It is essentially at a surface of a plant that sunlight is converted to a sugar. In electronics, most if not all active circuit elements involve non-equilibrium phenomena occurring at surfaces. Much of biology is concerned with reactions at a surface.

Walter Houser Brattain

Happiness, I think, lies on the surface... when one plunges under the surface all the buoyant things disappear, and the farther down one gets the more cold and dark it seems: and the more oppressive space feels.

Lewis Mumford

Box-set culture inclines to the hyperbolic.

Howard Jacobson

In particular, I am interested in understanding hyperbolic surfaces.

Maryam Mirzakhani

I tend to be one who just speaks from my soul, and so what comes out sometimes is rather harsh. In that sense, I'm very much a part of the tradition of a Frederick Douglass or a Malcolm X who used hyperbolic language at times to bring attention to the state of emergency.

Cornel West

We know what the surface of the moon is better than we know what the surface of the sea floor is.

James Garner

Hyperbolic headlines always attract more attention than mundane truths.

Ajit Pai

I tweeted that Tom Brady's politics are 'garbage,' which may have been hyperbolic.

Josh Gondelman

Gravity is so strong that space is bent round onto itself, making it rather like the surface of the earth. If one keeps traveling in a certain direction on the surface of the earth, one never comes up against an impassable barrier or falls over the edge, but eventually comes back to where one started.

Stephen Hawking

Fan reaction is so out-sized and hyperbolic in rock music compared to other arts.

David Berman

A Quote by Maryam Mirzakhani

Quote Topics

Quote Author

Related Quotes

Related Authors