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Originally posted by circlemaker
Originally posted by muzzleflash
∞ / ∞ = 1
Actually it's both +1 and -1. Infinity, like 0, has no polarity.
In mathematics, the affinely extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (read as positive infinity and negative infinity respectively). The projective extended real number system adds a single object, ∞ (infinity) and makes no distinction between "positive" or "negative" infinity. These new elements are not real numbers. It is useful in describing various limiting behaviors in calculus and mathematical analysis, especially in the theory of measure and integration. The affinely extended real number system is denoted R or [−∞, +∞].
When the meaning is clear from context, the symbol +∞ is often written simply as ∞.
Originally posted by muzzleflash
In mathematics, the affinely extended real number system is obtained from the real number system R by adding two elements: +∞ and −∞ (read as positive infinity and negative infinity respectively). The projective extended real number system adds a single object, ∞ (infinity) and makes no distinction between "positive" or "negative" infinity. These new elements are not real numbers. It is useful in describing various limiting behaviors in calculus and mathematical analysis, especially in the theory of measure and integration. The affinely extended real number system is denoted R or [−∞, +∞].
This is different than zero however. So infinity does indeed have polarity while zero has no polarity.
Originally posted by circlemaker
Originally posted by buddhasystem
Originally posted by circlemaker
Originally posted by muzzleflash
∞ / ∞ = 1
Actually it's both +1 and -1. Infinity, like 0, has no polarity.
If it doesn't, why do we integrate from - to + infinity in some cases?
+/-infinity defines which direction you take to get there. You can go towards infinity in the positive or negative directions but once you're there it's all the same thing.