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Analogously, from Corollary 1 we obtain the following.

The proof follows analogously from Theorem 3. (square).

Analogously, from Theorem 2.4, we derive the following Reich's fixed point theorem on partial metric spaces.

Analogously, from these figures, the TPGs of these two oils at different temperature and the temperature breakpoints can be obtained.

Analogously, from Theorem 3.2, we obtain the following theorems, which do not require the continuity of T. Theorem 6.3 Let ( X, d ) be a complete metric space.

The basic idea is that quantized fields should be interpreted completely analogously to quantized one-particle states, just as both result analogously from imposing canonical commutation relations on the non-operator-valued classical quantities.

Analogously, starting from ν, we obtain a nondecreasing sequence ν ≤ v 1 ≤ v 2 ≤ ⋯, where v1 = Tν, vn+1= Tv n.

The key step of the synthesis of pubinernoid B (304) proceeded analogously starting from (Z )-300.

A placebo solution was analogously prepared from the same number of uninfected Daphnia and given to the non-infected treatments.

The Cy5** conjugate of decarbamoyl BLM monosaccharide (2) was prepared analogously starting from acetylated d-mannose (Scheme S2 of the Supporting Information).

Analogously, results from this study detected novel Hel-2 elements integrated in the genomes of CpBV, CsMBV as well as C. congregata BV (CcBV) and C. vestalis BV (CvBV; Figure  3; Additional file 4) which were novel and not described in prior studies [ 17].