Showing posts with label irrational. Show all posts
Showing posts with label irrational. Show all posts
Thursday, March 13, 2014
Tomorrow is Pi Day
Tomorrow is Pi Day and I offer no new poems but supply links to several previous posts. Poetry of π may be found on 23 August 2010 (an "irrational sonnet" by Jacques Bens), 6 September 2010 (featuring work by Kate Bush, Robert Morgan and Wislawa Szymborska), 10 September 2010 (mnemonics for π, especially from Mike Keith) , 15 March, 2011,(a poem by Lana Hechtman Ayers) 27 November 2011 (a poem by Brian McCabe) and 10 March 2013 (the opening lines of a poem "3.141592 . . ." by Peter Meinke).
Sunday, March 2, 2014
Sociology of Numbers
Robert Dawson is a mathematics professor at St Mary's University in Halifax, Nova Scotia -- an active mathematician who complements his research activity with mathematics education and with poetry. The following Dawson poem appeared here in 2013 -- in the Journal of Humanistic Mathematics, a journal whose every issue contains some poetry-with-mathematics.
Some Contributions to the Sociology of Numbers by Robert Dawson
The ones you notice first are the natural numbers.
Everybody knows their names; they are the anchors,
the stars, the alphas, the reference points. And of course
the rational numbers, who hang out with them,
sit next to them in arithmetic class.
Some Contributions to the Sociology of Numbers by Robert Dawson
The ones you notice first are the natural numbers.
Everybody knows their names; they are the anchors,
the stars, the alphas, the reference points. And of course
the rational numbers, who hang out with them,
sit next to them in arithmetic class.
Labels:
denominator,
fraction,
irrational,
mathematics,
natural,
numbers,
numerator,
numerology,
poetry,
Pythagorean,
Robert Dawson
Tuesday, December 3, 2013
Conversational mathematics
In recent weeks I have been experimenting with poems that use mathematical terminology, wondering whether -- since there are readers who are undaunted by unknown literary references (to Dante's Divine Comedy or Eliot's Prufrock, for example) -- some readers will relish a poem with unexplained mathematical connections. In this vein I have offered "Love" (posted on on November 5) and now give the following poem, "Small Powers of Eleven are Palindromes":
Labels:
Catalan,
cube,
irrational,
JoAnne Growney,
language,
mathematics,
number,
palindrome,
perfect,
poem,
power,
twin primes
Sunday, June 16, 2013
What is not possible?
It is impossible for a number to be greater than 2 if it is not greater than 1. It is impossible to find a rational number whose square is 2. Up to now it has not been possible to show that π is a normal number. Mathematicians like the challenge of the impossible. To challenge, to prove, to refute.
In the poem below Chelsea Martin devises an entertaining web of circular reasoning to explore the impossibility of eating at MacDonald's.
McDonalds Is Impossible by Chelsea Martin
Eating food from McDonald's is mathematically impossible.
Because before you can eat it, you have to order it.
And before you can order it, you have to decide what you want.
And before you can decide what you want, you have to read the menu.
And before you can read the menu, you have to be in front of the menu.
And before you can be in front of the menu, you have to wait in line.
And before you can wait in line, you have to drive to the restaurant.
And before you can drive to the restaurant, you have to get in your car.
And before you can get in your car, you have to put clothes on.
In the poem below Chelsea Martin devises an entertaining web of circular reasoning to explore the impossibility of eating at MacDonald's.
McDonalds Is Impossible by Chelsea Martin
Eating food from McDonald's is mathematically impossible.
Because before you can eat it, you have to order it.
And before you can order it, you have to decide what you want.
And before you can decide what you want, you have to read the menu.
And before you can read the menu, you have to be in front of the menu.
And before you can be in front of the menu, you have to wait in line.
And before you can wait in line, you have to drive to the restaurant.
And before you can drive to the restaurant, you have to get in your car.
And before you can get in your car, you have to put clothes on.
Labels:
Chelsea Martin,
circular,
impossible,
irrational,
mathematical,
normal,
pi,
poem,
proof,
theorem
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
Thursday, November 10, 2011
Mathematics of desire
Last Monday evening, I listened with pleasure to Pennsylvania (Fogelsville) poet Barbara Crooker read at Cafe Muse (with Meredith Davies Hadaway and Erin Murphy). Barbara writes fine poems -- and reads them well. Although she offered no mathematical poems that evening, hearing her reminded me to hunt for her love poem "The Irrational Numbers of Longing . . " and to offer it to you here:
Labels:
Barbara Crooker,
geometry,
infinite,
intersection,
irrational,
mathematics,
negative,
poem,
postive
Tuesday, March 15, 2011
Remembering Pi-day, a day late
Yesterday (3-14) was Pi-day, but my recent thoughts have been focused on my math-teacher son Eric (who has acute pancreatitis) and his family -- and I forgot to post this poem on the proper day. Thanks to Lana Hechtman Ayers for these opening lines of "Circumference: A love poem."
Labels:
area,
circumference,
finite,
infinite,
irrational,
mathematics,
pi,
poetry
Saturday, February 12, 2011
Loving a mathematician (Valentine's Day and . . . )
A perfect way to celebrate Valentine's Day -- especially for you who enjoy mathematics -- read (aloud and to each other) some "poems of love and mathematics." Such is easily possible, for the anthology, Strange Attractors: Poems of Love and Mathematics (A K Peters, 2008), edited by Sarah Glaz and me, contains words on the topic by more than 150 poetic voices.
Labels:
cardioid,
circle,
Hannah Stein,
irrational,
love,
mathematician,
mathematics,
pi,
poetry,
Sherman Stein,
square root,
Valentine
Wednesday, September 29, 2010
Is mathematics discovered -- or invented?
The issue of whether mathematics is invented or discovered is posed often. Less frequently, queries as to where poetry falls in these categories. Perhaps individual answers to these questions depend on how each of us, from the inside, views the workings of the mind. Here we have, from poet (and math teacher) Amy Uyematsu,"The Invention of Mathematics."
Monday, September 6, 2010
More of Pi in Poetry
Recording artist Kate Bush has written a song entitled “Pi” which includes some of π's digits in the lyrics. Likewise, Polish Nobelist (1996) Wislawa Szymborska also features its digits in her poem, “Pi,” which begins:
Labels:
calculation,
circle,
circumference,
compact,
diameter,
digits,
infinite,
irrational,
pi,
Robert Morgan,
transcendental,
Wislawa Szymborska
Thursday, September 2, 2010
Rhymes help to remember the digits of Pi
Calculated at the website, WolframAlpha, here are the first fifty-nine digits of the irrational number π (ratio of a circle's circumference to its diameter):
π = 3.1415926535897932384626433832795028841971693993751058209749...
Before computers became available to calculate π to lots of decimal places in an instant, people who did scientific calculations could keep the number easily available by memorizing some of the digits. The website fun-with-words offers several mnemonics for π , the most common type being a word-length mnemonic in which the number of letters in each word corresponds to a digit. For example the sentence, "How I wish I could calculate pi," gives us the first seven digits.
π = 3.1415926535897932384626433832795028841971693993751058209749...
Before computers became available to calculate π to lots of decimal places in an instant, people who did scientific calculations could keep the number easily available by memorizing some of the digits. The website fun-with-words offers several mnemonics for π , the most common type being a word-length mnemonic in which the number of letters in each word corresponds to a digit. For example the sentence, "How I wish I could calculate pi," gives us the first seven digits.
Labels:
circle,
circumference,
decimal place,
diameter,
digits,
irrational,
Mike Keith,
mnemonic,
pi,
Poe,
rhyme,
WolframAlpha
Monday, August 23, 2010
The Irrational Sonnet -- An Oulipian form
An irrational sonnet has 14 lines, just as the traditional sonnet, but differs in its stanza-division and rhyme: there are five stanzas--containing 3, 1, 4, 1 and 5 lines, respectively (these being the first five digits of the irrational number pi), and a rhyme scheme of AAB C BAAB C CDCCD. This form was devised by Oulipo member Jacques Bens (1931-2001) in 1963. (Previous postings concerning the Oulipo occurred on March 25 and August 5.)
Labels:
Drunken Boat,
irrational,
Jacques Bens,
Laurence Petit,
Oulipo,
pi,
Ravi Shankar,
rhyme scheme,
sonnet
Monday, April 26, 2010
Poems starring mathematicians - 3
Today's poems illustrate the satirical humor and rhyme that frequently inhabit poems by mathematicians. (Previous postings of poems about mathematicians include March 23, April 14, and April 15.)
I Even Know of a Mathematician by John L Drost
“I even know of a mathematician who slept with his wife only
on prime-numbered days…” Graham said.
―Paul Hoffman, The Man Who Loved Only Numbers
I Even Know of a Mathematician by John L Drost
“I even know of a mathematician who slept with his wife only
on prime-numbered days…” Graham said.
―Paul Hoffman, The Man Who Loved Only Numbers
Labels:
continua,
decimal,
discrete,
infinities,
irrational,
John Drost,
Keith Allen Daniels,
mathematician,
numbers,
pi,
primes,
Rankine,
Sandburg,
transcendental
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