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Step 2. Assume f is not radial and f ∈ C 0 ∞ ( B R ).
It is well-known that the second eigenvalue λ2 of the Dirichlet Laplacian on the ball is not radial.
Then c ( s ) < λ i, i = 1, 2. In particular, nontrivial Fučík eigenvalues on the first curve of the Fučík spectrum are not radial.
We believe that the crustal magnetic anomalies may inhibit the downward proton flux to the atmosphere, at least in regions where the field is not radial.
It was conjectured in [1, p. 16], that if Ω is a radially symmetric bounded domain, then every eigenfunction u of (1) corresponding to some ∈ C is not radial.
A numerical approach has shown that, when the flow dimension is not radial, using the derivative analysis rather than the conventional Theis and Cooper-Jacob methods helps to estimate much more accurately the hydraulic conductivity of the aquifer.
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The numerical solutions are certainly axially symmetric but not radially symmetric because of using the structured grid that does not have radial symmetry.
BLBP is also strongly expressed at E27 in the VZ, but not in radial processes (Figure 1C E); whereas in the ganglionic eminence, radial processes express BLBP (Figure 1F).
This approach labels multiple, but not all, radial glia, thus enabling the evaluation of individual interneuron-radial glial interactions.
As our phenotypic studies in podxl embryos did not show radial migration alterations, NCAM and PC may have redundant functions in neuronal radial migration.
If is not a radial function, inequality (2.6) also holds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com