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Accurate quantification of dislocation loops in complex functional alloys enabled by deep learning image analysis. [PDF]
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Uniqueness of polyhedral domains and p-moduli of path families
Doklady Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inequalities for Moduli of Path Families
1993In this chapter we shall derive the important inequalities for moduli of path families which form the basis for the geometric part of qr theory. The main reference for path families in connection with qc theory is the book [V4] by J. Vaisala. When convenient, we shall refer to [V4] rather than repeat proofs.
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1979
If El, E2, and G mR n then A(EI,E2;G) denotes the set of all closed paths joining E 1 and E_ in G (cf. [9, p. 21]). Let El, Bi(r) = : r E 2 cR n with 0 6 El' E2' let {x 6 R n Ixl 0, and let F r = A(EI,E2;R n ~ Bn(r)) for r > 0. In this note we shall study the problem of finding a lower bound for the n-modulus M(F r) of F r in terms of r and the ...
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If El, E2, and G mR n then A(EI,E2;G) denotes the set of all closed paths joining E 1 and E_ in G (cf. [9, p. 21]). Let El, Bi(r) = : r E 2 cR n with 0 6 El' E2' let {x 6 R n Ixl 0, and let F r = A(EI,E2;R n ~ Bn(r)) for r > 0. In this note we shall study the problem of finding a lower bound for the n-modulus M(F r) of F r in terms of r and the ...
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Antibiotic resistance in the patient with cancer: Escalating challenges and paths forward
Ca-A Cancer Journal for Clinicians, 2021Amila K Nanayakkara +2 more
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Climate change impacts on plant pathogens, food security and paths forward
Nature Reviews Microbiology, 2023Brajesh K Singh +2 more
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Hippocampal place-cell sequences depict future paths to remembered goals
Nature, 2013Brad E Pfeiffer, David J Foster
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