Sentence examples for function of the plane from inspiring English sources
The classical form of Iversen's theorem asserts that if is an entire holomorphic function of the plane, then there exists a curve tending to infinity such that (6.4).
According to the contour distribution of the objective function on the plane, it is easy to decide the optimal point or region on the plane.
We introduce a family of Lagrange functions on the plane rotation group and verify that Euler-Lagrange and Hamilton equations associated to each of these functions must coincide with the Lie equations in the Lie transformation group.
In this paper, we introduce a family of Lagrange functions on the plane rotation group and verify that Euler-Lagrange and Hamilton equations associated to each of these functions must coincide with the Lie equations in the Lie transformation group.
The amplitude A Ω at the point P(2θ) (Fig. 4 ▶ a) for a beam incident at an angle Ω to a crystal plane is found by deriving the phase difference for different possible paths, which can be represented by a sinc function: The shape of this profile is a function of the scattering plane lateral dimension in the plane of the incident-beam direction, L x.
First, we calculated the HiLo images corresponding to each axial plane and then used these images as the first prior for the object function of the corresponding plane λ ^ (1 ) (x, y, z ).
Let f be a Borel measurable function of the complex plane to itself.
Fig. 4 THz amplitude modulation ΔE THz as a function of the Bragg plane inclination angle Δφ.
Specifically, the even (or odd) set of maxima in the third derivative of the time function of the transverse plane rotation provides good estimates of the heel-ground contacts [ 25].
Magnetotransport measurements have been used to study vortex lattice velocity as a function of the in-plane direction of the driving force.
