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Chip-Scale Optomechanical Frequency Comb with a 1-70 GHz Span. [PDF]
Gou X +5 more
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Self-Sensing with Hollow Cylindrical Transducers for Histotripsy-Enhanced Aspiration Mechanical Thrombectomy Applications. [PDF]
Gong L, Wright AR, Hynynen K, Goertz DE.
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Spectral study of COVID-19 pandemic in Japan: The dependence of spectral gradient on the population size of the community. [PDF]
Sumi A, Koyama M, Katagiri M, Ohtomo N.
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Conditions for separately subharmonic functions to be subharmonic
Potential Analysis, 1993Let \(\Omega\) be an open set in \(\mathbb{R}^ m \times \mathbb{R}^ n\). A function \(u\) is separately subharmonic on \(\Omega\) if \(u(x,\cdot)\) is subharmonic on the \(x\)-section of \(\Omega\), and \(u(\cdot,y)\) on the \(y\)-section, for all \((x,y) \in\Omega\).
Armitage, D. H., Gardiner, Stephen J.
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Infinity of Subharmonics for Asymmetric Duffing Equations with the Lazer–Leach–Dancer Condition
In this paper, based on a generalized version of the Poincaré–Birkhoff twist theorem by Franks, we establish the existence of infinitely many subharmonics for the asymmetric Duffing equation with the classical Lazer–Leach–Dancer condition.
Dingbian Qian
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Nondestructive subharmonic imaging
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2002Ultrasound contrast agent microbubbles are intravascular agents that can be used to estimate blood perfusion. Blood perfusion may be estimated by destroying the bubbles in a vascular bed and observing the refresh of contrast agents back into the vascular bed. Contrast agents can be readily destroyed by traditional imaging techniques.
James, Chomas +3 more
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Subharmonic Oscillations of a Pendulum
Journal of Applied Mechanics, 1960Large amplitude oscillations of a simple pendulum whose support moves with a prescribed vertical oscillation are studied by an approximate method. Subharmonics of order 1/2, 1/4, 1/6, and 1/8 are discussed and the theoretical results are compared with experiments.
Skalak, Richard, Yarymovych, M. I.
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Approximation to subharmonic functions by subharmonic polynomials
Mathematical Notes of the Academy of Sciences of the USSR, 1985Let D be a domain in \({\mathcal R}^ m\) (m\(\geq 2)\) with connected boundary and let E be a compact subset of D. It is shown that if u is real-valued, continuous and subharmonic in D, then u can be uniformly approximated in E by subharmonic polynomials. This result with ''harmonic'' in place of ''subharmonic'' is a classical theorem of J. L.
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Paths for Subharmonic Functions
Proceedings of the London Mathematical Society, 1984The paths are investigated for non-negative subharmonic functions defined on the domains in \(R^ m\), \(m=2\), 3. Let u be a subharmonic function on the unit ball B(0,1) of \(R^ n\) and 0\(\leq u\leq 1\). Then for given \(\epsilon>0\) there exists \(r(\epsilon)>0\) with the following property: if \(| x-y|\epsilon\), \(u(y)>\epsilon\), \(| x|
Davis, Burgess, Lewis, John L.
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