We report on an all-sky search for continuous gravitational waves in the frequency band 20？2000 Hz and with a frequency time derivative in the range of ½？1.0;þ0.1 × 10？8 Hz=s. Such a signal could be produced by a nearby, spinning and slightly nonaxisymmetric isolated neutron star in our Galaxy.

Rapid transmission of coronavirus disease 2019 (COVID-19) was observed in the Shincheonji Church of Jesus, a religious sect in South Korea. The index case was confirmed on February 18, 2020 in Daegu City, and within two weeks, 3081 connected cases were identified. Doubling times during these initial stages (i.e., February 18 ？March 2) of the outbreak were less than 2 days.

We consider the mathematical model of chemotaxis introduced by Patlak, Keller, and Segel. Aggregation and progression waves are present everywhere in the population dynamics of chemotactic cells.

Peritrichously flagellated bacteria swim in a fluid environment by rotating motors embedded in the cell membrane and consequently rotating multiple helical flagella. We present a novel mathematical model of a microswimmer that can freely run propelled by a flagellar bundle and tumble upon motor reversals.

A blind signature enables a user to obtain signatures on any message from an authority who cannot acquire any information on the message being signed. A blind ring signature scheme is designed as a ring signature scheme with the blindness property. The scheme allows any member of a group anonymously sign a message on behalf of the group.

This paper deals with the nutrient-taxis system derived by a food metric. The system was proposed in [Sun-Ho Choi and Yong-Jung Kim:Chemotactic traveling waves by metric of food, SIAM J. Appl. Math. 75 (2015), 2268{2289] using geometric ideas without gradient sensing, and has a simple form but contains a singular diffusive coefficient on the equation for the organism side.

To generate a mesh in a physical domain, an initial mesh of a polygonal domain that approximates the physical domain is introduced. The initial mesh is formed by using a Body Centered Cubic (BCC) lattice that can give a more efficient node ordering for the matrix vector multiplication. An optimization problem is then considered for the displacement on the initial mesh points, which maintains a good quality of triangles while aiming at fitting the initial mesh to the boundary of the physical domain.

We develop an L2-approximation strategy to study Markov semigroups generated by an infinite system of elliptic diffusion processes on a lattice.

This paper presents this filtered method and, for the first time, provides a theoretical basis for demonstrating the effectiveness of the filter-based methodology.

Light undergoes perturbation as gravitational waves pass by. This is shown by solving Maxwell’s equations in a spacetime with gravitational waves; a solution exhibits a perturbation due to gravitational waves.