Possibly under certain conditions, but not generally. Consider a nonmeasurable set A, and define f(x) = 1 if x in A 0 otherwise. Then {1} is certainly measurable but the inverse image {x | f(x) = 1} = A is not measurable.
The additive inverse of 9 is -9.
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
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f(x) = x^{2} is a continuous function on the set R of real numbers, and (-1, 1) is an open set in R, but f(-1, 1) = [0, 1), and [0, 1) is not an open set in R. So, f is not an open function on R.
Possibly under certain conditions, but not generally. Consider a nonmeasurable set A, and define f(x) = 1 if x in A 0 otherwise. Then {1} is certainly measurable but the inverse image {x | f(x) = 1} = A is not measurable.
A group has group operations. If these operations are continuous, it is called a continuos group. Addition of the real numbers under addition with the linear topology is one example. If I apply the discrete topology to any group, I can make it continuous. Note: we need continuous function and inverse!
The additive inverse of 9 is -9.
A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.
Inverse psoriasis occurs in the armpits and groin, under the breasts, and in other areas where skin flexes or folds.
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NO. Certainly not. Additive inverse and Multiplicative inverse doesn't exist for many elements.
If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.
The multiplicative inverse of a non-zero element, x, in a set, is an element, y, from the set such that x*y = y*x equals the multiplicative identity. The latter is usually denoted by 1 or I and the inverse of x is usually denoted by x-1 or 1/x. y need not be different from x. For example, the multiplicative inverse of 1 is 1, that of -1 is -1.The additive inverse of an element, p, in a set, is an element, q, from the set such that p+q = q+p equals the additive identity. The latter is usually denoted by 0 and the additive inverse of p is denoted by -p.
Until they are measurable and available
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The image is reversed under a microscope because of the way light is refracted by the microscope's lenses. This optical system produces an inverted image due to the way the objective and eyepiece lenses are configured. The inverted image is then corrected by the brain as it interprets the visual information from the microscope.