Sentence examples for matrix solution and from inspiring English sources

Based on the discussion about the existence and design method of full-order observer for systems with monotone nonlinearities, a reduced-order observer design method is developed under the assumption that a linear matrix inequality (LMI) has positive definite matrix solution and the reduced-order observer gain matrix is computed by the solution of LMI.

2, 5-dihydroxybenzoic acid (DHB) was applied as matrix solution and the Bruker PepMix Calibration Standard (# 222570, Bruker Daltonics) for the calibration of the instrument.

The glucose concentrations of serum are obtained by measuring their response currents in NaOH matrix solution, and thus it is unnecessary to test their CVs although amperometric responses are recorded.

One microliter of the matrix solution and sample solution with a 1∶1 ratio were mixed and applied onto the Score384 target well.

For plasma, no further sample preparation steps were needed, i.e. the lysates were mixed with matrix solution and deposited on a target plate.

The clear supernatant represented the crude EC biofilm matrix solution and was used to assay the relative amount of LPS and DNA.

For MALDI-Tof MS analyses, 2 μL medium samples were spotted directly on a stainless steel plate, rinsed with matrix solutions, and air-dried before analyses with an AXIMA-CFR™plus (SHIMADZU, Japan), operated with a pulsed nitrogen laser at 337 nm.

Protein spots were obtained from the silver-stained gels, detained, and subjected to tryptic digestion as described by Gokulakannan and Niehaus[23] for MS. The peptides mixtures were re-dissolved in matrix solution, dried, and analyzed by a 4800 matrix assisted laser desorption/ionization time of flight mass spectrometry (MALDI-TOF/TOF)(Applied Biosystems, Carlsbad, CA, USA).

Then Φ t) is a fundamental matrix solution for (1.1) and satisfies Φ 0) = I 2. Suppose that α(t), β(t) and γ(t) are ω-periodic functions defined on T (i.e. (1.10) holds), then Φ(t + ω) is also a fundamental matrix solution for (1.1) ( see [18]).

In-gel digestion was proceed with 0.01 mg trypsin (Sigma Aldrich) over night at 37°C.1 µl of the digested peptide was spotted on a Anchorchip treated with matrix solution CHCA(Sigma) and washing with 0.1% TFA, then the crystallized sample was subjected to MALD-TOF-MS (ABI4700).

After air drying, another 1  μl of matrix solution was added and the spots air-dried before analysis in a PBS IIc SELDI-TOF equipped with an autoloader (Ciphergen, Biosystems Inc., Fremont, CA, USA).