How to use in-sentence of “hyperbolic”:
– He is known for his works in integrable systems, fluid dynamics and shock waves, solitonic physics, hyperbolic conservation laws, and mathematical and scientific computing, among other fields.
– In practice, when rounding large sets of sampled data, because it will still preserve the hyperbolic convergence towards zero of the overall mean roundoff error bias and of its standard deviation.
– These models define a real hyperbolic space which satisfies the axioms of a hyperbolic geometry.
– A cylinder whose Cross section cross section is an ellipse, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder respectively.
– In mathematics, hyperbolic geometry is a non-Euclidean geometry, meaning that the parallel postulate of Euclidean geometry isn’t true.
– Because there is no hyperbolic analogue to Euclidean parallel lines, the hyperbolic use of “parallel” and related terms varies among writers.
– Phanerozoic marine biodiversity follows a hyperbolic trend.
– From this we see that the sum of angles of a triangle in the hyperbolic plane must be smaller than 180°.
Example sentences of “hyperbolic”:
- Other types of motion in astronomy include elliptical orbit, parabolic trajectory, and hyperbolic trajectory.
- The hyperbolic functions are like the trigonometric functions, in that they have very similar properties.
- This is called an asymptotic line in hyperbolic geometry.
– Other types of motion in astronomy include elliptical orbit, parabolic trajectory, and hyperbolic trajectory.
– The hyperbolic functions are like the trigonometric functions, in that they have very similar properties.
– This is called an asymptotic line in hyperbolic geometry.
– There are three Mathematical modelmodels commonly used for hyperbolic geometry: the Klein model, the Poincaré disc model, and the Lorentz model, or hyperboloid model.
– Many real objects look like hyperbolic planes.
– The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector.
– Similarly, the yellow and red sectors together depict an area and hyperbolic angle magnitude.
– Other types of motion in astronomy include circular orbit, parabolic trajectory, and hyperbolic trajectory.
– Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry.
– In 1868, Eugenio Beltrami provided models of it, and used this to prove that hyperbolic geometry was consistent if Euclidean geometry was.
– There are several ways to physically realize a hyperbolic plane.
– When it is generalised, not all the spheres need to have the same size, and spaces can be n-dimensional Euclidean space, or hyperbolic space.