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In general, to solve the MC problem, the sampling operator (mathcal {P}) must satisfy the modified restricted isometry property, which is the case when uniform random sparse sampling is employed in both rows and columns of matrix M [42].
Differing from that, the component functions of quaternionic regular functions are harmonic, the component functions of H λ -regular functions satisfy the modified Helmholtz equation, that is ( λ 2 − Δ ) ψ i = 0, i = 1, 2. We give out a distribution solution of the inhomogeneous equation D u = f and study some properties of the solution.
To test the generalized multi-symplectic scheme, several numerical experiments on the travelling front solution are carried out, the results of which imply that the generalized multi-symplectic scheme can simulate the travelling front solution accurately and satisfy the modified conservation laws well when step sizes and the damping parameter satisfy the inequality (41).
Generally, drawing cause-disease conclusion based on PCR sequencing needs vigilance to satisfy the modified Koch postulates (5 ).
Therefore, studies in patients with spondyloarthritis with preradiographic sacroiliitis or early evidence of sacroiliitis (and who do not yet satisfy the modified New York criteria) may be more likely to demonstrate inhibition of structural damage following TNF antagonist therapy.
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The patients with AS satisfied the modified New York criteria for AS diagnosis [ 6].
The average age of the AS patients was 32 years (range, 21 53 years), and all patients satisfied the modified 1984 New York criteria [ 17].
NICE recommends adalimumab for treatment of AS if the patient satisfies the modified New York criteria, has a BASDAI score ≥4 and a score of ≥4 cm on the spinal pain VAS demonstrated on two occasions at least 12 weeks apart, and in whom conventional treatment with maximum tolerated or recommended dosages of two or more NSAIDs has failed to control symptoms (NICE 2007).
PAH was diagnosed in patients with SSc who satisfied the modified US National Institutes of Health criteria for PAH after cardiac catheterization [ 35], specifically mean pulmonary artery pressure above 25 mmHg at rest or 30 mmHg after exercise, with normal pulmonary artery wedge pressure.
The patient reported an improvement in AHI index and he was satisfied with the modified appliance.
In addition, the RPS generator checks whether applying conditions to all knowledge of numerical relationships are satisfied under the modified CWM.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com