Sentence examples for on a unit circle from inspiring English sources
If the cosine and sine functions are defined as the projections on the x- and y-axes, respectively, of a point moving on a unit circle (a circle with its centre at the origin and a radius of 1), then these functions will repeat their values every 360°, or 2π radians.
Let A i,i = 1,…,N, be anchors located uniformly on a unit circle in two dimensional space, with locations denoted as x Ai, ∥ x A i ∥ = 1.
Next, these data were re-positioned on a unit circle to represent the data on an annulus with fixed radius (Figure 3, right square).
Polar plots use end-point data to plot points on a unit circle and the red line indicates the direction and magnitude of the resultant mean vector [24].
Measurements of RNFL thickness from 3 scans were averaged to provide a mean measurement of the RNFL thickness average, as well as the following retinal regions: temporal (316° to 45° on a unit circle), superior (46° to 135°), nasal (136° to 225°) and inferior (226° to 315°).
(12) J i = d Δ ρ i d ρ i d Δ ρ i d α i d Δ α i d ρ i d Δ α i d α i For the polymorphic equilibrium to be stable in a discrete time dynamical system, both eigenvalues of J i must lie within a unit circle centered on (-1, 0) in the complex plane.
The inverse problem of recovering a smooth simply connected multisheet planar domain from its Steklov spectrum is equivalent to the problem of determination, up to a gauge transform, of a smooth positive function a on the unit circle from the spectrum of the operator aΛ, where Λ is the Dirichlet-to-Neumann operator of the unit disk.
We prove the existence of a C2-function f T→C defined on the unit circle, a unitary operator U and a self-adjoint operator Z in the Hilbert Schmidt class S2, such thatf eiZU −f(U −ddt(f eitZU |t="0∉S1, the space of trace class operators.
In particular, in the case of functions of unitary operators we can consider the problem of differentiability of the function (tmapsto fbig (e^{mathrm{i}tA}U)), (tin {mathbb R}), where f is a function on the unit circle ({mathbb T}), U is a unitary operator and A is a bounded self-adjoint operator.
a We assume that M z) does not have a zero on the unit circle.
Given an MOPS on the unit circle, orthogonal with respect to a linear functional, to find necessary and sufficient conditions in order to make a sequence of monic polynomials defined by.
