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What is infinity divided by infinity? - Mathematics Stack Exchange 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
What exactly is infinity? - Mathematics Stack Exchange 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 "
Can I subtract infinity from infinity? - Mathematics Stack Exchange 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?
Types of infinity - Mathematics Stack Exchange I understand that there are different types of infinity: one can (even intuitively) understand that the infinity of the reals is different from the infinity of the natural numbers Or that the infi
One divided by Infinity? - Mathematics Stack Exchange 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
Is 1 + infinity gt; infinity? - Mathematics Stack Exchange So new_infinity would just become "1 + infinity" They argue that you can just substitute in x for infinity and have the statement 1 + x> x which is true (but I don't think you can substitute a variable in for infinity) I asked my math professor about this question and he said 1 + ∞> ∞ is false, but I don't really remember the explanation
complex analysis - Infinity plus Infinity - Mathematics Stack Exchange You'll need to complete a few actions and gain 15 reputation points before being able to upvote Upvoting indicates when questions and answers are useful What's reputation and how do I get it? Instead, you can save this post to reference later
Ideal points and the line at infinity - Mathematics Stack Exchange Ideal points and the line at infinity Homogeneous vectors x = (x1,x2,x3)T x = (x 1, x 2, x 3) T such that x3 ≠ 0 x 3 ≠ 0 correspond to finite points in R2 R 2 One may augment R2 R 2 by adding points with last coordinate x3 = 0 x 3 = 0 The resulting space is the set of all homogeneous 3 3 -vectors, namely the projective space P2 P 2
I have learned that 1 0 is infinity, why isnt it minus infinity? This obviously makes no sense - we say that 0 0 is "undefined" because there isn't really an answer Likewise, 1 0 is not really infinity Infinity isn't actually a number, it's more of a concept If you think about how division is often described in schools, say, number of sweets shared between number of people, you see the confusion