Editing 2319: Large Number Formats
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==Explanation== | ==Explanation== | ||
+ | {{incomplete|Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}} | ||
This comic shows what the way you write large numbers says about you. Different people use different methods to express large numbers. And this comic claims it can tell something about you based on the way you format large numbers. In this way, the comic is similar in idea to [[977: Map Projections]], where it was your choice of map projections that could tell something about you. | This comic shows what the way you write large numbers says about you. Different people use different methods to express large numbers. And this comic claims it can tell something about you based on the way you format large numbers. In this way, the comic is similar in idea to [[977: Map Projections]], where it was your choice of map projections that could tell something about you. | ||
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| 25,259,974,097,204 | | 25,259,974,097,204 | ||
| Normal Person | | Normal Person | ||
− | | This is the full number, 25259974097204, written out in the normal fashion, with commas to indicate powers of 1000. Although writing out the number in full is indeed a common action for normal people, the specific comma convention depicted here is only considered normal in the | + | | This is the full number, 25259974097204, written out in the normal fashion, with commas to indicate powers of 1000. Although writing out the number in full is indeed a common action for normal people, the specific comma convention depicted here is only considered normal in the Anglo-Saxon world; conventions for writing large numbers in full vary considerably across cultures. For example, in countries where the comma is used as a {{w|decimal separator}} (including Europe outside the UK), one would write the number as 25.259.974.097.204 (or 25'259'974'097'204 in Switzerland, or 25 259 974 097 204 in Poland, France and Estonia). Under the {{w|Indian numbering system}}, this number would be written as 25,25,997,40,97,204. |
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| 25 Trillion | | 25 Trillion | ||
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| {∅,{∅},{∅,{∅}},{∅,{∅},{... | | {∅,{∅},{∅,{∅}},{∅,{∅},{... | ||
| Set theorist | | Set theorist | ||
− | | | + | | In {{w|Zermelo–Fraenkel set theory}}, the natural numbers are defined recursively by letting 0 = ∅ (the {{w|empty set}}), and ''n'' + 1 = ''n'' ∪ {''n''}. So, every natural number ''n'' is the set of all natural numbers less than ''n'', and since 0 is defined as the empty set, all numbers are nested sets of empty sets. Note that writing out the full number in this fashion would take more than its square in number of characters; that is to say, if each character took up one square inch, this "number" would not fit on a square piece of paper whose edge reached to Jupiter. |
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| 1,262,998,704,860 score and four | | 1,262,998,704,860 score and four | ||
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| 10^13.4024 ''(title text)'' | | 10^13.4024 ''(title text)'' | ||
| A person who has come back to numbers after a journey deep into some random theoretical field | | A person who has come back to numbers after a journey deep into some random theoretical field | ||
− | | In some fields of mathematics, especially those dealing with very {{w|large numbers}}, numbers are sometimes represented by raising ten (or some other convenient base) to an oddly precise power, to facilitate comparison of their magnitudes without filling up pages upon pages of digits. An example of this is {{w|Skewes's number}}, which is formally calculated to be ''e''<sup>''e''<sup>''e''<sup>79</sup></sup></sup>, but is more commonly approximated as 10<sup>10<sup>10<sup>34</sup></sup></sup>. 13.4024 is a rounded version of the {{w|common logarithm}} of 25,259,974,097,204 (log<sub>10</sub> 25,259,974,097,204 = 13.4024329009); thus, this "format" is still mathematically correct, but uncommon. However, only by using many more digits will the result get close enough to be rounded to the original number 10^13.40243290087302 = 25,259,974,097,203.5, which would round up to the correct number. | + | | In some fields of mathematics, especially those dealing with very {{w|large numbers}}, numbers are sometimes represented by raising ten (or some other convenient base) to an oddly precise power, to facilitate comparison of their magnitudes without filling up pages upon pages of digits. An example of this is {{w|Skewes's number}}, which is formally calculated to be ''e''<sup>''e''<sup>''e''<sup>79</sup></sup></sup>, but is more commonly approximated as 10<sup>10<sup>10<sup>34</sup></sup></sup>. 13.4024 is a rounded version of the {{w|common logarithm}} of 25,259,974,097,204 (log<sub>10</sub> 25,259,974,097,204 = 13.4024329009); thus, this "format" is still mathematically correct, but uncommon. However, only by using many more digits will the result get close enough to be rounded to the original number 10^13.40243290087302 = 25,259,974,097,203.5, which would round up to the correct number. This number 10^13.4024 = 25,258,060,548,319.6 deviating almost 2 billion from the correct number |
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