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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 "
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
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 x for infinity and have the statement 1 + x> x 1 + x> x which is true (but I don't think you can substitute a variable in for infinity)
What is imaginary infinity, - Mathematics Stack Exchange 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
infinity - How does it equal -1 12? - Mathematics Stack Exchange So all my friends keep telling me that if you add up all the numbers from 1 to infinity, (1+2+3+4 ) then the answer is -1 12 They showed me this proof with infinite sums, but I didn't understand it, so all I'm asking is does it really equal -1 12?
What is the square root of infinity and what is infinity^2? Thus both the "square root of infinity" and "square of infinity" make sense when infinity is interpreted as a hyperreal number An example of an infinite number in ∗R ∗ R is represented by the sequence 1, 2, 3, … 1, 2, 3, One way of constructing MAX is to use a finitely additive measure ξ ξ on subsets of N N with values 0 0 or 1 1