Talk:Munchausen numbers: Difference between revisions

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Revision as of 19:51, 24 September 2016 (view source) Tigerofdarkness (talk \| contribs) (→‎0 to the power 0 is considered as 0 for Munchausen numbers) ← Older edit		Latest revision as of 20:22, 17 August 2023 (view source) Tigerofdarkness (talk \| contribs) m (The Wikipedia link now works)
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Line 6: ::: Where would those leading zeros come from? --[[User:Rdm\|Rdm]] ([[User talk:Rdm\|talk]]) 00:33, 24 September 2016 (UTC) :::: See the current ALGOL 68 sample which holds the 4 digits as separate numbers and indexes a table of powers - the non-standard 0^0 allows indexing the table of powers without having to worry whether the digit is a leading zero or not. The sample does this to avoids any multiplication, division or modulo operations. --[[User:Tigerofdarkness\|Tigerofdarkness]] ([[User talk:Tigerofdarkness\|talk]]) 19:51, 24 September 2016 (UTC) ::::: Ok, so it's a hack that lets the programmer use a fixed width array of digits without having to bother with the relevant array length. --[[User:Rdm\|Rdm]] ([[User talk:Rdm\|talk]]) 20:22, 24 September 2016 (UTC) :::::: Or it's a feature of the definition that can be exploited :) --[[User:Tigerofdarkness\|Tigerofdarkness]] ([[User talk:Tigerofdarkness\|talk]]) 09:40, 25 September 2016 (UTC) ::::::: How is that any different? [[User:Rdm\|Rdm]] ([[User talk:Rdm\|talk]]) 09:48, 25 September 2016 (UTC) ------------------------------------------------------------------------------------- I would like to point out that +438579088, in the Algol60 output is not correct... +/ x * x ← 4 3 8 5 7 9 0 8 8 438579089 Note that is APL so * is exponentiation not multiplication. :APL I'm sure, will be using the mathematical definition of exponentiation where 0^0 is defined to be 1. As the title of this section of this discussion page indicates, Munchausen numbers use an alternative definition of 0^0 = 0 ( being vaguely from a mathematical background, I thought it was worth highlighting it ). :If you use 0^0 = 1, there are only two Munchausen numbers, 1 and 3435. If you use 0^0 = 0, there are four: 0, 1, 3435 and 438579088. :I see the Wikipedia page (Perfect digit-to-digit invariant) now discusses Munchausen numbers using either convention, as does the Mathworld page (which spells Munchhausen with two h letters). :There are a number of other language samples for this task that show the four Munchausen numbers, including Java, Kotlin and Pascal. :Incidentally, there currently isn't an Algol 6<b>0</b> sample, the language you are singling out for criticism is Algol 6<b>8</b> :) :BTW, please sign your posts. :--[[User:Tigerofdarkness\|Tigerofdarkness]] ([[User talk:Tigerofdarkness\|talk]]) 20:00, 17 August 2023 (UTC)