Infinity Series Radiography Cassette Imn7000 Hufriedy Group I know that $\infty \infty$ is not generally defined. however, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half as big infinity, for. Definition: infinity refers to something without any limit, and is a concept relevant in a number of fields, predominantly mathematics and physics. the english word infinity derives from latin infinitas, which can be translated as " unboundedness ", itself derived from the greek word apeiros, meaning " endless ".
Cassette Infinity Radiography Hu Friedy Similarly, the reals and the complex numbers each exclude infinity, so arithmetic isn't defined for it. you can extend those sets to include infinity but then you have to extend the definition of the arithmetic operators, to cope with that extended set. and then, you need to start thinking about arithmetic differently. Can this interpretation ("subtract one infinity from another infinite quantity, that is twice large as the previous infinity") help us with things like limn→∞(1 x n)n, lim n → ∞ (1 x n) n, or is it just a parlor trick for a much easier kind of limit?. In the process of investigating a limit, we know that both the numerator and denominator are going to infinity but we dont know the behaviour of each dynamics. Since you are talking about "dividing by infinity" then you are probably working in the extended real numbers rather than the real numbers. in such a context, yes infinity is the "largest" extended real number and 11 11 can indeed be divided by it.
Infinity Series Thin Ortho Cassette Large Imnorthl4 Hufriedy Group In the process of investigating a limit, we know that both the numerator and denominator are going to infinity but we dont know the behaviour of each dynamics. Since you are talking about "dividing by infinity" then you are probably working in the extended real numbers rather than the real numbers. in such a context, yes infinity is the "largest" extended real number and 11 11 can indeed be divided by it. Infinity plus infinity ask question asked 13 years, 3 months ago modified 2 months ago. Use this tag for questions on the concept of infinity. don't use this tag merely because ∞ ∞ appears somewhere in the question. In particular, infinity is the same thing as "1 over 0", so "zero times infinity" is the same thing as "zero over zero", which is an indeterminate form. your title says something else than "infinity times zero". The infinity can somehow branch in a peculiar way, but i will not go any deeper here. this is just to show that you can consider far more exotic infinities if you want to. let us then turn to the complex plane. the most common compactification is the one point one (known as the riemann sphere), where a single infinity ∞~ ∞ is added.
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