In this paper we introduce a new method to produce lower bounds for the Waring rank of symmetric tensors. We also introduce the notion of ecomputability and we use it to prove that Strassen’s conjecture holds in infinitely many new cases.

Given a real projective plane S embedded in a 4？manifold X4 with Euler number 2 or ？？2, the Price twist is a surgery operation on .S/ yielding (up to) three different 4？manifolds: X4 , S.X4/ and ？S.X4/. This is of particular interest when X4 D S4 ,as then ？S.X4/ is a homotopy 4？sphere which is not obviously diffeomorphic to S4 . Here we show how to produce a trisection deion of each Price twist on S  X4 by producing a relative trisection of X4 n .S/. Moreover, we show how to produce a trisection deion of general surface complements in 4？manifolds.

To estimate the causal impact of a change in the national health insurance policy to cover the cost of respiratory syncytial virus (RSV) antigen testing on the incidence of RSV infection by age-groups, we analyzed the sentinel datasets of RSV infection in Japan from 2009？2017.

The orthogonality sampling method (OSM) is a recently developed non-iterative technique for imaging and identifying targets in inverse scattering problems.

The recovery of 3D left ventricle(LV) shape using 2D echocardiography is very attractable topic in the field of ultrasound imaging. In this paper, we propose a mathematical model to determine the 3D position of LV contours extracted from multiple 2D echocardiography images.

We extend the classical Allen？Cahn (AC) equation to the fractional Allen？Cahn equation (FAC) with triple-well potential. By replacing the spatial Laplacian and double-well potential with fractional Laplacian and triple-well potential, we observe different dynamics.

n this paper, we take into account a two-dimensional inverse scattering problem for localizing small electromagnetic anomalies when they are surrounded by small, randomly distributed electromagnetic scatterers.

The COVID-19 global pandemic has posed the biggest medical challenge of the past three years, and efforts to eradicate it have involved cross-border collaborations. Recent studies claim that the development and distribution of vaccines is an effective approach to end this infectious disease. However, this study demonstrates that a vaccine alone may not be enough due to differences in the rates of waning immunity induced by infection and vaccination. We propose that both vaccination and treatment are required to halt COVID-19 disease transmission and end the pandemic. From an epidemiological perspective, we employ the SVEIRS model by introducing vaccination and treatment into the compartmental epidemic model SIR. The experimental results suggest that the pandemic can be ended by performing both vaccination and treatment. However, the development and distribution of vaccines and treatments take time, and control measures must continue until the disease is completely eradicated.

This paper presents the gravitational-wave measurement of the Hubble constant (H0) using the detections from the first and second observing runs of the Advanced LIGO and Virgo detector network. The presence of the transient electromagnetic counterpart of the binary neutron star GW170817 led to the first standard-siren measurement of H0. Here we additionally use binary black hole detections in conjunction with galaxy catalogs and report a joint measurement.