Topology
noun
The study of properties of space that are preserved under continuous transformations.
He is studying topology to understand the spatial characteristics of different shapes.
Often appears as...
- study of topology
- topology of space
Usage tips
Academic
noun
The way in which constituent parts are interrelated or arranged.
The topology of the network was revised to improve data flow.
Often appears as...
- network topology
- topology of system
noun
A set of rules defining the computational structure of a neural network.
The topology of the neural network was designed to mimic human cognition.
Often appears as...
- neural network topology
- define topology
Usage tips
Technical
noun
The study of properties of space that are preserved under continuous transformations.
He is studying topology to understand the spatial characteristics of different shapes.
Often appears as...
- study of topology
- topology of space
Usage tips
Academic
noun
The way in which constituent parts are interrelated or arranged.
The topology of the network was revised to improve data flow.
Often appears as...
- network topology
- topology of system
noun
A set of rules defining the computational structure of a neural network.
The topology of the neural network was designed to mimic human cognition.
Often appears as...
- neural network topology
- define topology
Usage tips
Technical
Definition 1 of 3
Pro Tip 1/3Not Just Shape
Topology goes beyond mere shape to consider properties that don't change even when objects are stretched or bent.
The topology course examined how a doughnut and a coffee cup are topologically the same due to one hole.
Pro Tip 2/3Academic Field
Topology is a high-level mathematical concept often studied in advanced courses or research.
After completing basic geometry, he advanced to studying topology.
Pro Tip 3/3Continuous Transformations
The transformations in topology involve gradually changing an object without cutting or gluing.
Topology is fascinated with how a square and a circle can be continuously transformed into each other.
Pro Tip 1/3Not Just Shape
Topology goes beyond mere shape to consider properties that don't change even when objects are stretched or bent.
The topology course examined how a doughnut and a coffee cup are topologically the same due to one hole.
Pro Tip 2/3Academic Field
Topology is a high-level mathematical concept often studied in advanced courses or research.
After completing basic geometry, he advanced to studying topology.
Pro Tip 3/3Continuous Transformations
The transformations in topology involve gradually changing an object without cutting or gluing.
Topology is fascinated with how a square and a circle can be continuously transformed into each other.
Pro Tip 1/3Not Just Shape
Topology goes beyond mere shape to consider properties that don't change even when objects are stretched or bent.
The topology course examined how a doughnut and a coffee cup are topologically the same due to one hole.
Pro Tip 2/3Academic Field
Topology is a high-level mathematical concept often studied in advanced courses or research.
After completing basic geometry, he advanced to studying topology.
Pro Tip 3/3Continuous Transformations
The transformations in topology involve gradually changing an object without cutting or gluing.
Topology is fascinated with how a square and a circle can be continuously transformed into each other.
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Video examples
What in the world is...
can exhibit macroscopic properties and phases that are topological. But what does that mean? First of all, topology is a branch of mathematics that focuses on fundamental properties of objects.
Video examples
The call to learn PIPE...
it can hold fluids. So it's highly -- that one's the cool one. That was a month of my life. But although I would love to talk about topology with you, I'm not going to.
Video examples
What in the world is...
can exhibit macroscopic properties and phases that are topological. But what does that mean? First of all, topology is a branch of mathematics that focuses on fundamental properties of objects.
Video examples
The call to learn PIPE...
it can hold fluids. So it's highly -- that one's the cool one. That was a month of my life. But although I would love to talk about topology with you, I'm not going to.
Example 1 of 2
Quote examples
Jacques Lacan
French Psychologist
A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit?
Quote examples
Edward Witten
American Mathematician
In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything.
Quote examples
Whitfield Diffie
American Scientist
I thought of computers as very low class. I thought of myself as a pure mathematician and was interested in partial differential equations and topology and things like that.
Quote examples
Edward Witten
American Mathematician
There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change.
Quote examples
Henri Poincare
French Mathematician
Point set topology is a disease from which the human race will soon recover.
Quote examples
Jacques Lacan
French Psychologist
A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit?
Quote examples
Edward Witten
American Mathematician
In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything.
Quote examples
Whitfield Diffie
American Scientist
I thought of computers as very low class. I thought of myself as a pure mathematician and was interested in partial differential equations and topology and things like that.
Quote examples
Edward Witten
American Mathematician
There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change.
Quote examples
Henri Poincare
French Mathematician
Point set topology is a disease from which the human race will soon recover.
Example 1 of 5
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