ABSTRACT Future ground-based gravitational wave (GW) detectors, i.e. Einstein telescope (ET) and Cosmic Explorer (CE), are expected to detect a significant number of lensed binary neutron star (BNS) mergers, which may provide unique tool probe cosmology. In this paper, we investigate the detectability optical/infrared electromagnetic (EM) counterparts (kilonovae/afterglows) from these BNS merge...

we give further results for perron-frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. we indicate two techniques for establishing the main theorem ofperron and frobenius on the numerical range. in the rst method, we use acorresponding version of wielandt's lemma. the second technique involves graphtheory.

Energy prediction used for building heating has attracted particular attention because it is often required in the development of various strategies to improve energy efficiency buildings, especially those undergoing thermal improvements. The complexity, dynamics, uncertainty, and nonlinearity existing systems create a great need modeling techniques. One them machine learning models, which are ...