Examples of 'geodesics' in a sentence
Meaning of "geodesics"
geodesics (noun) - plural form of geodesic; in mathematics, the shortest path between two points on a curved surface. For instance, she studied the geodesics of the Earth's surface in her geography class
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- plural of geodesic
How to use "geodesics" in a sentence
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geodesics
On the asymptotic distribution of geodesics on surfaces of revolution.
Geodesics intersecting at infinity are called limiting parallel.
Meridians are always geodesics on a surface of revolution.
Geodesics are of particular importance in general relativity.
For the sphere the geodesics are great circles.
Closed geodesics can be characterized by means of a variational principle.
The great circles are the geodesics of the sphere.
Geodesics without a particular parameterization are described by a projective connection.
Then the the geodesics satisfy the equation.
Geodesics intersecting at infinity are then called limit geodesics.
Such boundaries are generated by null geodesics.
The geodesics are great circle arcs.
These straight paths are called geodesics.
Such geodesics are made of arcs of clothoids.
We can start talking about geodesics.
See also
Geodesics can be based on any of the platonic solids.
The trajectories of the planets are precisely such geodesics.
The properties of geodesics differ from those of straight lines.
Such solutions are known as geodesics.
Inside the astroid four geodesics intersect at each point.
Torsion is particularly useful in the study of the geometry of geodesics.
Proves that the geodesics are the straight lines.
The chariot can be used to detect straight lines or geodesics.
The radii of this circle are all geodesics in different directions.
Geodesics and cartography.
Affine and projective geodesics.
Such geodesics are the generalization of the invariance of lightspeed in special relativity.
I have to calculate the geodesics.
Geodesics on a surface of revolution.
The critical points of the first variation are precisely the geodesics.
This explains why moving along the geodesics in spacetime is considered inertial.
It is known that any closed surface possesses infinitely many closed geodesics.
Unparametrized geodesics are often studied from the point of view of projective connections.
Such straightest possible lines are called the geodesics of the surface.
Manifolds all of whose geodesics are closed have been thoroughly investigated in the mathematical literature.
The trajectories of freely falling test bodies are geodesics of that metric.
Timelike geodesics in general relativity describe the motion of free falling test particles.
The zeta function is defined in terms of the closed geodesics of the surface.
For certain flat surfaces such geodesics correspond to periodic trajectories in related rational billiards.
The space between objects shrinks or grows as the various geodesics converge or diverge.
Classical geodesics eventually cross each other and the point where they converge are singularities.
In the discussion we study an alternative model where geodesics are parametrized in lower dimension.
We mark the end points and define the number of parts to draw the geodesics.
All motions are then deduced from the geodesics secreted by the field equations.
The Cauchy horizon is generated by closed null geodesics.
Morse originally applied his theory to geodesics critical points of the energy functional on paths.
Each Killing vector corresponds to a quantity which is conserved along geodesics.
Einstein showed that light beams follow geodesics as they sail through the universe.
Geodesics are commonly seen in the study of Riemannian geometry and more generally metric geometry.
The families we consider are Teichmüller geodesics in the moduli space.
