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By Lemma 2.3 and the trace of (S(G)), we can get a contradiction.
The Ricci tensor S is the trace of R with respect to g while r is the trace of S with respect to g.
By the trace of (S(G)), we have (lambda_{1}=lambda_{2}=cdots=lambda _{n}=0), a contradiction by Lemma 2.3.
Since the transmit power and the distance are fixed after optimization as optimization method in [12, 13] and notice that Tr(P i )=W i, trace of S N Ri-1i is fixed as l i - 1 i W i - 1 σ 2 = snr i.
J X) = tr(S x ), S x is the covariance of the projected eigenvector of training sample, and tr(S x ) is the trace of S x.
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The scrambled nanosheets structure shows the main existence of Ni (more than 99%), traces of S (less than 1%) was also observed.
Seismic ray traces of S-wave for D1, S, and for D2, (S) (bottom).
a A time-trace of s.
Voltage time-traces are shown within each panel, and the corresponding time-traces of s are shown below.
The trace of segment s is intersected with the segments k, u, v, and w in the neighboring frames.
For each measurement 10 traces of 10 s each were sequentially acquired.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com