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Infinity has different meanings in different contexts. Here are some of them:
In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).
In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.
Infinity has different meanings in different contexts. Here are some of them:
In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).
In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.
Infinity has different meanings in different contexts. Here are some of them:
In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).
In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.
Infinity has different meanings in different contexts. Here are some of them:
In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).
In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.
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SteveInfinity has different meanings in different contexts. Here are some of them:
In set theory, it means a set that has an infinite (more than any finite) number of elements. For example, the sets of integers, and the set of rational numbers, are countably finite (aleph-zero), while the set of real numbers is uncountably finite (aleph-one in this case).
In calculus, it is used to indicate that something can grow without bounds - more than any specific number. For example, 1/x is not defined, in calculus, for x = 0, but if x gets closer and closer to zero, the division produces larger and larger number - larger than any number you specify. It is said, in this case, that 1/x tends towards infinity, when x tends towards zero.
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Is negative infinity times negative infinity positive infinity?
Oh, dude, negative infinity times negative infinity is technically positive infinity. It's like when you multiply two negatives, they cancel each other out and become positive. So yeah, in the wild world of math, that's how it rolls.
What is the math sign for undefined?
The mathematical symbol for "undefined" is the infinity symbol.
Infinity to the power of 1?
Anything to the power of 1 is that same something, so infinity to the power of 1 is infinity. Keep in mind that infinity is a conceptual thing, often expressed as a limit as something approaches a boundary condition of the domain of a function. Without thinking of limits, infinity squared is still infinity, so the normal rules of math would seem to not apply.
What is two times infinity?
Well, darling, technically speaking, infinity isn't a number, it's a concept representing something endless. So, if you wanna get all technical, two times infinity is still infinity because no matter how many times you multiply infinity by a finite number, you're still left with infinity. Math can be a real buzzkill sometimes, huh?
What is longer infinity or eternity?
Eternity means "lasts forever" while infinity means "without end". Neither one exists (the current age of `everything' is a mere 13.7 billion years); but in pure math terms, infinity trumps eternity.
