Palindrome DefinitionDate: 03/17/2002 at 19:54:44 From: Huy Ho Subject: Palindromes Do mathematicians consider single-digit numbers palindromes? Yours, Huy Ho Date: 03/17/2002 at 22:12:57 From: Doctor Twe Subject: Re: Palindromes Hi, and thanks for writing to Dr. Math. Mathematicians are "rules lawyers" and pay close attention to the way a definition is worded, so the answer to your question depends on the precise definition of the term "palindrome" (or palindromic number) you're using. If the definition says "a number that is the same when read from left-to-right as when read right-to-left," then I would say that single-digit numbers are palindromes, though I'd call them "trivial" cases. Eric Weisstein's World of Mathematics uses this definition, as shown here: Palindromic Number http://mathworld.wolfram.com/PalindromicNumber.html The definition could be modified, however, to exclude these trivial cases. For example we could define a palindromic number as "a multi- digit number that is the same when read from left-to-right as when read right-to-left." So read your book's definition of palindrome carefully, and then decide. I hope this helps. If you have any more questions, write back. - Doctor TWE, The Math Forum http://mathforum.org/dr.math/ |
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