Nineteenth century writer and mathematician Lewis Carroll (1832-1898) gave his character, Humpty Dumpty, these words: "When I use a word, it means just what I choose it to mean -- neither more nor less." And so it is in mathematics -- where, for example, the term "rational" (used in the poem"The Disposition of Art," shown below) has a precise meaning that differs from its typical conversational usage.
The photo below shows computer-generated art by Silver Spring artist Allen Hirsh -- and, beside it, a framed version of the poem mentioned above. Our work was exhibited together at last summer's BRIDGES and MAA conferences. A clearer presentation of Hirsh's art -- "An Outgrabed Mome Rath" -- is available here. My poem is presented below, beneath the photo.
Showing posts with label rational. Show all posts
Showing posts with label rational. Show all posts
Monday, September 21, 2015
Tuesday, November 5, 2013
Love mathematics!
In the stanzas below, I have some fun with math terminology. Hope you'll enjoy it too.
Love! by JoAnne Growney
Love algebra! Through variable numbers
of factored afternoons and prime evenings,
party in and out of your circle of associates,
identify your identity, meet your inverse.
Love! by JoAnne Growney
Love algebra! Through variable numbers
of factored afternoons and prime evenings,
party in and out of your circle of associates,
identify your identity, meet your inverse.
Labels:
arithmetic,
calculus,
chaos,
identity,
imaginary,
Integral,
inverse,
Mobius band,
pi,
prime,
rational,
real,
symmetries,
tangent
Sunday, March 11, 2012
Chatting about REAL numbers
The term "real number" confuses many who are not immersed in mathematics. For these, to whom 1, 2, 3 and the other counting numbers seem most real, the identification of the real numbers as all infinite decimals (i.e., all numbers representable by points on a number line) seems at first to go beyond intuition. But, upon further reflection, the idea of a number as "real" iff it can represent a distance on a line to the right or left of a central origin, 0, indeed seems reasonable.
Professor Fred Richman of Florida Atlantic University takes on the questions of computability and enumerability of the real numbers in his poem, "Dialogue Between Machine and Man":
Labels:
Cantor,
compute,
decimal,
Fred Richman,
infinite,
irrational,
number line,
pi,
rational,
real number,
recursive
Monday, December 13, 2010
Satire Against Reason . . .
John Wilmot (1647-1680), 2nd Earl of Rochester, was a friend of King Charles II, and author of much satirical and bawdy poetry. Even though logical reasoning is central in mathematics, reason has not lead us to a utopian society -- and Wilmot's poem, "Satire Against Reason and Mankind," reminds us of the many ways that we can be wrong.
Labels:
error,
John Wilmot,
logic,
mathematics,
poetry,
rational,
reason,
reasoning
Sunday, November 28, 2010
Poetry with base 10
In his collection, Rational Numbers (Truman State, 2000) Harvey Hix presents "Orders of Magnitude" -- a collection of 100 stanzas in which each stanza has ten lines and each line has ten syllables. Beyond this numeric structure is frequent use of mathematical imagery; here are samples (stanzas 42 and 100):
Labels:
curvature,
decimal,
Euclid,
fractions,
Gauss,
H. L. Hix,
mathematics,
numbers,
orders of magnitude,
poetry,
rational,
Strange Attractors,
Truman State
Tuesday, July 20, 2010
In the same family -- a poet and a mathematician
When a poet and a mathematician are members of the same family, understandings result. Ohio poet Cathryn Essinger is a twin of a mathematician and writes about this relationship. Here are opening stanzas of two of her poems.
Labels:
bound,
Cathryn Essinger,
combinatorics,
congruence,
counting,
geometry,
infinity,
Kathabela Wilson,
mathematics,
node,
poetry,
prime,
rational,
Rick Wilson,
twin,
two
Subscribe to:
Posts (Atom)