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Pronunciation varies by accent · adjective
(mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain..
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.
Use nonvanishing when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Nonvanishing means (mathematics) Of an expression, especially a function, being nonzero at a value, everywhere on a specified set, or on the entire domain..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
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;
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