The difference between Nonvanishing and Nonzero
When used as adjectives, nonvanishing means (of a quantity) that is nonzero at all points in a space, whereas nonzero means not equal to zero.
Nonzero is also noun with the meaning: a quantity which is not zero.
check bellow for the other definitions of Nonvanishing and Nonzero
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Nonvanishing as an adjective (mathematics):
(of a quantity) that is nonzero at all points in a space
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Nonzero as an adjective (mathematics, of a quantity):
Not equal to zero.
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Nonzero as a noun:
A quantity which is not zero.
Examples:
"The function has 1074 nonzeros."