11. The last 4 buttons have an auxiliary function when the " Auto " button is pushed. 12. The function w here is an auxiliary function , defined uniquely from v up to a holomorphic summand. 13. In the following excerpt from ML program, local declaration of function leap, using an auxiliary function multiple: 14. Solar power may be also used to provide power for communications or controls or other auxiliary functions . 15. The " Glavsevmorput " was limited to maintaining coastal navigation, its auxiliary function relegated to Dalstroy and other organizations. 16. The auxiliary function in Liouville's work is very simple, merely a polynomial that vanishes at a given algebraic number. 17. In the path integral formulation of quantum field theory, these auxiliary functions are commonly referred to as source fields. 18. The socket also provides a 5V input option, for cards that require the additional voltage to power auxiliary functions . 19. The second battalion was organized as an operational Naval State Guard, and the 3rd Division provided support and auxiliary functions . 20. It passes through many of the abandoned towns that at one time served auxiliary functions to the mines of Tombstone.