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The decay time for a supermassive black hole of roughly 1 galaxy-mass (10 11 solar masses) due to Hawking radiation is on the order of 10 100 years. [7] Therefore, the heat death of an expanding universe is lower-bounded to occur at least one googol years in the future. A googol is considerably smaller than a centillion. [8]
As infinity is difficult to deal with for most calculators and computers, many do not have a formal way of computing division by infinity. [ 5 ] [ 6 ] Calculators such as the TI-84 and most household calculators do not have an infinity button so it is impossible to type into the calculator ' x divided by infinity' so instead users can type a ...
A typical book can be printed with 10 6 zeros (around 400 pages with 50 lines per page and 50 zeros per line). Therefore, it requires 10 94 such books to print all the zeros of a googolplex (that is, printing a googol zeros). [4] If each book had a mass of 100 grams, all of them would have a total mass of 10 93 kilograms.
The aleph numbers differ from the infinity commonly found in algebra and calculus, in that the alephs measure the sizes of sets, while infinity is commonly defined either as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or as an extreme point of the ...
Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,000 2 = 1 billion; 1,000,000 3 = 1 trillion; and so on. It was adapted from French usage, and is similar to the system that was documented or invented by Chuquet.
The degenerate distribution at x 0, where X is certain to take the value x 0. This does not look random, but it satisfies the definition of random variable. This is useful because it puts deterministic variables and random variables in the same formalism. The discrete uniform distribution, where all elements of a finite set are equally likely ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
If a formula with length is satisfied iff is equal to the finite von Neumann ordinal, we say such a formula is a "Rayo string" for , and that is "Rayo-nameable" in symbols. Then, Rayo ( 10 100 ) {\displaystyle {\mbox{Rayo}}(10^{100})} is defined as the smallest k {\displaystyle k} greater than all numbers Rayo-nameable in at most n ...