
06439670
j
2015d.00806
Malkevitch, Joseph
Words.
Consortium 107, 914 (2014).
2014
COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
EN
K20
P20
F60
patterns
words
strings
Fibonacci numbers
Fibonacci sequence
recursion
difference equations
generating strings from prior strings
concatenation
multiplication
Champernowne word
limits
square patterns
cubes
subwords
genetics
manipulation of strings
algorithms
combinatorics of words
Fibonacci word
ProuhetThueMorse sequence
history of mathematics
counting
combinatorics
finite words
oneway infinite words
binary representations
squarefree words
overlaps
combinatorics on words
From the text: When people think about mathematics they probably first think of numbers and not words. But mathematics, with its great intellectual curiosity for ideas, studies words from many points of view  doing what it often does, looking for patterns. In fact, the ``science" of patterns is sometimes offered as a succinct definition for the subject matter of mathematics as a whole. Here I will take a brief look at some of the ways mathematics has looked at words in the hope of exploiting the resulting ideas.