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under this definition the matrix exponential is surjective for complex matrices, although still not surjective for real matrices.
under this definition the matrix exponential is surjective for complex matrices, although still not surjective for real matrices.
the natural logarithm function is a surjective and even bijective mapping from the set of positive real numbers to the set of all real numbers.
تابع لگاریتم طبیعی ln: (0,+∞) → r یک نگاشت پوشا و حتی دوسویی از مجموعهٔ اعداد حقیقی مثبت به مجموعهٔ تمام اعداد حقیقی است.
the matrix exponential is not surjective when seen as a map from the space of all "n"×"n" matrices to itself.
the matrix exponential is not surjective when seen as a map from the space of all n×n matrices to itself.
its inverse, the exponential function, is not surjective as its range is the set of positive real numbers and its domain is usually defined to be the set of all real numbers.
وارون این تابع، تابع نمایی، پوشا نیست زیرا بردش مجموعهٔ اعداد حقیقی مثبت و دامنه اش معمولاً مجموعهٔ تمام اعداد حقیقی در نظر گرفته می‌شود.
===composition and decomposition===the composite of surjective functions is always surjective: if "f" and "g" are both surjective, and the codomain of "g" is equal to the domain of "f", then is surjective.
=== composition and decomposition ===ترکیب توابع پوشا همیشه پوشا است:اگر f و g هر دو پوشا باشند و برد g برابر دامنه f باشد، آنگاه تابع fog پوشا است.
