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The lower bound (5.15) easily follows by inserting (lambda =lambda _{j}) in (5.14) and the fact (N lambda _j ge j), (forall jin mathbb N).
end{aligned}The desired identity follows by inserting these relations in the previous equation.
end{aligned}The holomorphicity follows by inserting (L x) = q(P_1) R x) q(P_2)) in the formula of Proposition 3.23 and interchanging the (bar{partial }_x -operator with the integral.
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The waveform of the PA was first observed followed by inserting the catheter approximately 2 3 cm forward and deflated the balloon.
The waveform of the pulmonary artery was first observed, followed by inserting the catheter approximately 2 3 cm forward and deflating the balloon.
A 5' truncated HA tagged PKC1 gene (pkc1Δ5'-HA3) was generated by cloning a 2.1 kb fragment containing the 3' region of PKC1 (from 1301 upstream of the stop codon to 795 bp after) into pRS406 and followed by inserting a triple HA sequence cassette immediately before the stop codon.
To further generate firefly luciferase reporter constructs with KLF-Ps, TSSs of individual KLFs were predicted from UCSC Genome Browser, and fragments of approximately 1 kb in length upstream of TSSs (Additional file 2: Table S2) were amplified and cloned into pGL4.10 vector, followed by inserting DHSs upstream of the corresponding KLF-Ps.
Cleaned beads were resuspended in 100 μl of wash buffer and incubated at 95°C for 5 min followed by inserting in the magnet for 2 min. The supernatant was discarded, and the same step was repeated once to thoroughly remove leaf mRNAs.
Follow by inserting the USB into a USB port, usually on the side of the laptop.
Plasmids containing a correctly sized insert were sequenced followed by insert amplification and ligation into the pET28b expression vector (Novagen, http://www.emdchemicals.com) using sticky end PCR [ 74].
The PCR products were digested by KpnI and XhoI, followed by being inserted into pGL3-basic.
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CEO of Professional Science Editing for Scientists @ prosciediting.com