Can infinity be divided?
Yes. Thus, infinity times two is infinity (and by convention, infinity times any real number is infinity). Since infinity divided by x is the same as saying infinity times one over x, infinity divided by any number is infinity.
Why is space not infinitely divisible?
This means that there must, therefore, be a smaller distance than what we defined as the smallest. But, since we defined no number, there must always be a smaller distance than whatever we choose to be the smallest. Thus, space must be infinitely divisible.
What is 6 divided by infinity?
Infinity is undefined. If you divide a number by an undefined value, there is no way to find the result since you divide by an undefined value. As a consequence, the result is undefined.
What is 20 divided by infinity?
Any number divided by infinity is equal to 0.
What is infinite divisibility in probability?
Infinite divisibility (probability) In probability theory, a probability distribution is infinitely divisible if it can be expressed as the probability distribution of the sum of an arbitrary number of independent and identically distributed random variables. The characteristic function of any infinitely divisible distribution is then called…
Is space infinite or infinitely divisible?
Physical space is often regarded as infinitely divisible: it is thought that any region in space, no matter how small, could be further split. Time is similarly considered as infinitely divisible.
Does infinite divisibility imply gap-Lessness?
Infinite divisibility does not imply gap-less-ness: the rationals do not enjoy the least upper bound property.
Why is the binomial distribution not infinitely divisible?
The uniform distribution and the binomial distribution are not infinitely divisible, nor are any other distributions with bounded (finite) support. The Student’s t-distribution is infinitely divisible, while the distribution of the reciprocal of a random variable having a Student’s t-distribution, is not.
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