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Infinity squared is infinity. But there's more to it.
Mathematicians describe different kinds of infinities:
- The cardinality(number) of natural numbers is called Aleph0 () . This is infinite, and it has some peculiar properties:
- The cardinality of even numbers is also Aleph0.
- As is the cardinality of odd numbers.
- As is the cardinality of rational numbers (which you could view as infinity squared, but it still gives you infinity.
- The cardinality of countable ordinal numbers is called Aleph1 ().
- The cardinality of the real numbers is two to the exponent of Aleph0 ( ). The continuum hypothesis says this is equal to Aleph1.
Basically, if you square an infinite set from a given cardinality, the cardinality stays the same (meaning Aleph0 squared is still Aleph0, etc.)
If your mind just burst(cause mine did! 0_o), do not worry. This is a common reaction to set theory.
See the related link for more on Aleph numbers, which are how mathematicians view infinity.
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Infinite square
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What does negative infinity divided by infinity squared equal?
42,100,876,9765,098.6 xx :) All real numbers, except zero and one.
What is Pi squared plus Pi squared?
19.7392088 is also = to pi for instince infinaty=pi = never tnding so the formlea infinity=pi.
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 infinity plus infinity?
infinity
What is negative infinity plus negative infinity?
Negative infinity plus negative infinity equals negative infinity.
What is the domain for x squared?
X = All Real Numbers or -infinity (is less than) x (is less than) infinity
What does negative infinity divided by infinity squared equal?
42,100,876,9765,098.6 xx :) All real numbers, except zero and one.
What are all the squared numbers?
There are an infinity of numbers and each one has its square...
Why at infinity intensity of elctric field is zero?
electric feild varies inversely with distance squared. therefore @ infinity E= 0
What is the maximum point for the equation y equals X squared?
There is no maximum because y tends to + infinity as x tends to + or - infinity.
What is one-over-infinity squared?
Zero. (Regardless of where the parentheses are supposed to go.)
What is the domain and range of the function y equals 1 divided by x squared?
The domain of y = 1/x2 is all numbers from -infinity to + infinity except zero. The range is all positive numbers from zero to +infinity, except +infinity.
What does x squared look like on a graph?
honestly, a reaaallly happy smile :) y=x^2 -has a turning point at (0,0) -the range is R+ or [0, infinity) -the domain is R or (-infinity, infinity)
What is Pi squared plus Pi squared?
19.7392088 is also = to pi for instince infinaty=pi = never tnding so the formlea infinity=pi.
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.
Domain of t squared plus 1?
If t is real then [1 to infinity) ie all real numbers from 1 to infinity, including 1 but not infinity. If t is in the complex plane then the domain of t^2+1 is also the complex plane.
When a squared plus b squared equals c squared what is the square root of the square root of the square root of a squared squared squared plus b squared squared squared?
Since a squared plus b squared equals c squared, that is the same as c equals the square root of a squared plus b squared. This can be taken into squaring and square roots to infinity and still equal c, as long as there is the same number of squaring and square roots in the problem. Since this question asks for a and b squared three times, and also three square roots of a and b both, they equal c. Basically, they cancel each other out.
