We study the propagation of a domain wall (kink) of the 4 model in a radially symmetric environment defined by a gravity source. This source introduces a Schwarzschild-like geometry. We introduce an effective model th...
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With the advancement in technology, digital images can easily be transmitted and stored over the Internet. Encryption is used to avoid illegal interception of digital images. Encrypting large-sized colour images in th...
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We have built a distributed Ben-Ari Concurrent Interpreter (distributed BACI), which provides easy-to-use commands to implement distributed algorithms. In distributed BACI, a send process, receive process, and interpr...
Enzymes are proteins capable of accelerating biochemical reactions in the metabolism process. A wide range of applications of enzymes has been developed in biotechnology, industry, pharmaceuticals, biofuels. In this p...
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In this paper we give complete descriptions of the set of square roots of certain classical operators, often providing specific formulas. The classical operators included in this discussion are the square of the unila...
If U is a unitary operator on a separable complex Hilbert space H, an application of the spectral theorem says there is a conjugation C on H (an antilinear, involutive, isometry on H) for which CUC = U∗. In this paper...
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For a given unitary operator U on a separable complex Hilbert space H, we describe the set Cc(U) of all conjugations C (antilinear, isometric, and involutive maps) on H for which CUC = U. As this set might be empty, w...
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One of the most effective ways to help patients at the dangerous levels of diabetes is an artificial pancreas, a device that constantly monitors the patient's blood sugar level and injects insulin based on this le...
One of the most effective ways to help patients at the dangerous levels of diabetes is an artificial pancreas, a device that constantly monitors the patient's blood sugar level and injects insulin based on this level. Patient's reaction to insulin is highly individualized, so the artificial pancreas needs to be trained on each patient. It turns out that the best training results are attained when instead of the usual ReLU neurons, we use their minor modification known as Exponential Linear Units (ELU). In this paper, we provide a theoretical explanation for the empirically observed effectiveness of ELUs.
Severity-of-illness measurement is considered to be an important factor in the risk adjustment of medical outcomes. However, for those measures that involve a high level of clinical judgment, strategies have to be dev...
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