nonvanishing

1. (mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain.Examples: "For each nonvanishing function h, which is a solution of (2.1), we consider #92;Omega as above and we define #92;Omega#95;i#61;d#92;Omega(e#95;i),#92;#59;#92;#59;#92;#59;W#61;#92;frac#123;#92;Omega#125;#123;h#125;"; "This means that the vector space of solutions of (2.25) near #92;lambda#61;0 is generated by #92;sigma#95;1(#92;lambda) holomorphic and nonvanishing at 0, #92;left(#92;lambda#92;sigma#95;2(#92;lambda)#43;(log#92;lambda)#92;sigma#95;1(#92;lambda)#92;right) where a #92;sigma#95;2 is holomorphic and nonvanishing at 0."error-lua-execnot-comparable