Sentence examples for a resolution of unity from inspiring English sources
A resolution of unity is minimal for quantitative analysis using peak areas.
Then ({varphi _{j},jinmathbb{Z}}) is a homogeneous smooth dyadic resolution of unity in (mathbb{R}^{n}), namely (sum_{jinmathbb{Z}}varphi_{j}(x)=1) for all (xinmathbb{R}^{n}).
Let B : D ( B ) ⊂ H → H be a self-adjoint operator and the Hilbert space H, and let E μ be its spectral resolution of unity.
Despite its dualistic overtones, the overall unity of the picture is central to its ability to provide a resolution of the problem of evil.
Thus, a visual acuity of unity indicates a power of resolving detail subtending one minute of arc at the eye; a visual acuity of two indicates a resolution of one-half minute, or 30 seconds of arc.
As a method of increasing the resolution, a partition of unity based extrinsic enrichment is used.
However, in the third movements and especially in the finales, this contrasting tonal realm is gradually integrated into its environment, bringing a sense of unity and resolution to the tonal conflict which was presented at the beginning of the sonata.
In a rare display of unity, the resolution was jointly drafted by Russian and American diplomats, who tabled the lengthy 28-page text earlier this week.
