AngouriMath
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IsNeverNegative(AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
Whether an expression is real and not negative wherever it has a value, by its
form: an absolute value, a power of such a thing to a real exponent, a product or a
quotient of them, a positive constant.
form: an absolute value, a power of such a thing to a real exponent, a product or a
quotient of them, a positive constant.
Remarks
The sign a vanishing divisor keeps is otherwise read off its derivatives, which an
absolute value does not have where it vanishes: the derivative of abs(x) is sgn(x),
0 at 0, and the next one has no value there. So 1/abs(x) at 0 was left unevaluated
from each side and NaN from both, where it is +oo. Where such an expression vanishes
it does so from above, whatever its argument does.
absolute value does not have where it vanishes: the derivative of abs(x) is sgn(x),
0 at 0, and the next one has no value there. So 1/abs(x) at 0 was left unevaluated
from each side and NaN from both, where it is +oo. Where such an expression vanishes
it does so from above, whatever its argument does.
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