Sentence examples for pair of projections from inspiring English sources

The iris has a pair of projections partially dividing the pupil into two, and the upper is effective for aerial vision, the lower for underwater vision.

(5.2) isn't invertible for an arbitrary pair of projections, for if (varphi in ({mathrm{ran}}, Pcap ker Q cup (ker Pcap {mathrm{ran}}Q)), then (Wvarphi =0).

SLOT detects scattered laser light from the sample at two different wavelengths to generate a pair of projection image data sets.

The look-up table related a pair of projection values (e.g., g H and g L ) at high and low energy spectra to a pair of path lengths of basis materials (e.g., d1 and d2).

Ljance's proof [433] shows a close connection to pairs of projections.

Because [324] isn't widely available, the standard reference for his approach to pairs of projections is his book [345].

There are a pair of sections on two issues that Kato studied in connection with eigenvalue perturbation theory: pairs of projections and on the Temple Kato inequalities.

We mention also Lenard [421] who computes the joint numerical range (i.e. ({(langle varphi,Pvarphi rangle,langle varphi,Qvarphi rangle ),|,||varphi ||=1})) for pairs of projections in terms of the operator (Theta ) of remark 2 to Theorem 5.6.

The second lowest cross-correlation array has a center 0 and off-peak array values of ± (p−4), because two pairs of projections from each array have their signs toggled.

The off-peak entries for p = 4k + 1 come from arrays with unbalanced pairs of projections hence the cross-correlation values can be ± (p-2i) apart, leading to a wider range of cross-correlation values.

Define begin{aligned}&widetilde{W} = PQ+ 1-P 1-Q) end{aligned} (5.4) begin{aligned}&A = PQ+ 1-P 1-Q=1-P-Q end{aligned} (5.4)The following easy algebegin{alignedtions are basic to the rich structure of pairs of projections begin{aligned}&A^2 + B^2 = {varvec{1}}; qquad AB+BA=0 end{aligned} (5.6)(which Avron [21] calls the anticommutative Pythagorean Theorem).