Text this: Micromagnetics of derivative ring-shaped nanomagnets

  ______    _____    _    _     _____     _____   
 /_   _//  |  ___|| | || | ||  |  ___||  |__  //  
   | ||    | ||__   | || | ||  | ||__      / //   
  _| ||    | ||__   | \\_/ ||  | ||__     / //__  
 /__//     |_____||  \____//   |_____||  /_____|| 
 `--`      `-----`    `---`    `-----`   `-----`