4 ms·
1 / 0 = +infinity Implies that 0 * +infinity = 1, so it does run into make of the same issues. There are instances that make it useful, but the extended real n
by comte7092 4y ago
1 / 0 = +infinity Implies that 0 * +infinity = 1, so it does run into make of the same issues.
There are instances that make it useful, but the extended real number line isn’t used heavily in practice.
- tshaddox 4y agoYeah, I don't really see what this gets you. With basic real number division you have to make the exception for zero in the definition: a/b = c if and only if a = c*b and b!=0 And with this infinity thing you just have to make essentially the same exception for multiplication and infinity: c*b = a if and only if a/b = c and b!=infinity and c!=infinity
- Grustaf 4y agoYou might not have much use for the real projective line when tallying up prices in the grocery store, but projective geometry is definitely very useful. https://en.wikipedia.org/wiki/Projective_geometry https://en.wikipedia.org/wiki/Projective_geometry
- scotty79 4y agoIn normal math 1/0 is undefined but in a math where 1/0 is defined to be inf the 0*inf is still undefined.
- hgsgm 4y agoWhat is the "issue"? "/" means "* reciprocal of". If "infinity" is defined as "reciprocal of 0", what is the problem? Yes it is an exception to 0*n=0. It won't work in every setting, but it works in some settings, like inversive geometry.