The phrase "a known result" is correct and usable in written English.
It can be used in contexts where you refer to a conclusion or finding that is widely recognized or accepted in a particular field.
Example: "In mathematics, the Pythagorean theorem is a known result that applies to right-angled triangles."
Alternatives: "a recognized outcome" or "an established finding."
This theorem generalizes a known result for Hankel operators and applies to λ-Hankel operators for certain λ.
For the special case of M/D/∞ vacation queue, we also provide a new proof of a known result.
We first derive general properties of these discrete operators, then we extend a known result on numerical stability for such systems to general order of accuracy.
The present connection between modal density and the smoothed real mobilities is a matrix formulation of a known result, but introduces a treatment of modal density as the smoothed product of an orthogonal polynomial fit (rather than an average taken over bands of modes, such as used in Statistical Energy Analysis).
For diffusion of a single sorbed species the Fick surface diffusivity D1V is related to the GMS diffusivity Đ 1V by D1V = Đ 1V/(1 − θ1) a known result; the GMS coefficient Đ 1V is commonly referred to as the "intrinsic" or "corrected" diffusivity while the Fick coefficient D1V is usually termed the "apparent" diffusivity.
Our final result for light, isotropic, nonlinear damping, mimicks a known result for light, isotropic, linear damping, namely for a slowly rotating symmetric body, Bryan's effect is invariant and the rate of rotation of the damped pattern is the same as it would be for the pattern of an ideal slowly rotating symmetric body.
It is a well known result that, due to the presence of measurement noise, time domain identification methods often result in biased estimators.
It is a well known result that control objectives such as command tracking and noise attenuation can be expressed in terms of the sensitivity function.
As is continuous, from a well known result in -fuzzy (probabilistic) normed space (see, [51, Chap.
This is a well known result in trade theory, but one that rarely makes its way into introductory economics textbooks.
The mathematical aspects of the limit in (38) reuse a well known result for ħ → 0 [36].
