Beckett, Gena Branscombe, George Sainton Kaye Butterworth, Mayme Chanwai, William W. A few symbols convey a great deal. Line 7 tells who the rose-lipt girls followed by line 8, which tells where in fields where roses fade. I'm putting this in comments because it is not an answer to your question. It also alludes to prior mathematics. The expression means sum add for all pairs , where and are positive whole numbers from 1 to. Its few symbols convey a lot.
That is a lesson hard for young people to learn, because it is the nature of the young to feel emotionally that they will live forever, even though their rational minds tell them otherwise. More views: A few days after the Boston bombing, the line With rue my heart is laden climbed out of my mental attic and presented itself in the living room. It is titled With Rue My Heart is Laden With rue my heart is laden For golden friends I had, For many a rose-lipt maiden And many a lightfoot lad. So I abandoned my first associations with the poems and decided to lighten the tone. In poetry, chiasmus refers to the statement of two words or ideas and then their restatement in reverse order. Boys rove and leap in a place no longer accessible. Like other poems in that anthology, it has deep undertones of loss and bittersweet nostalgia.
That is the reality of life in the world. Our inequalities have meanings both referential and allusive. I want to mix apples and oranges by insisting on the important features shared by poetry and applied mathematics. Finally, means the minimum smaller of and , and similarly for. The patterns of the symbols and the messages of the poem are inextricable. My grade-school education in mathematics included a strict prohibition against mixing apples and oranges.
With this understanding, both poetry and applied mathematics become points of entry into understanding others and ourselves as animals who make and use symbols. We were able to distill several of our inequalities into a more abstract so-called matrix-norm inequality that is valid for any one of the four operations of addition, multiplication, maximum, and minimum—the kind of mathematical discovery that brings joy to the heart of applied mathematicians or at least to the hearts of the three of us. Only in the last three lines, where the boys and girls are laid in death, in fields where roses fade, do we finally learn that his friends are gone not only as a result of migration possibly but also as a result of mortality. Instead he speaks of brooks too broad for leaping, evoking not slender streams easily leaped but a broader, slower descent to the sea in the fullness of time. In the right lobe, is an example of chiasmus in the strict sense as the sequence is repeated in reverse order. Why are so many of our formulas true? Then it occurred to me that the reason I associated this poem with the bombing was not the opening line but the image of lightfoot lads leaping across a brook. Easy to see why I conflated the two poems.
The surface meaning is simple: I regret that my friends, once young, have died. In my age-addled brain, I wondered if the two lines were, if not in the same poem, at least written by the same poet. It was common, in the English countryside, for village lads to entertain themselves by seeing who could leap across small streams, sometimes with the assistance of a long pole that was pushed down into the water. Kemperman, retired from Rutgers University, and Gheorghe Zbaganu, University of Bucharest. The phrase needed no introduction—I had memorized it years earlier—but I did question its judgment in showing up at that moment. In applied mathematics, as in poetry, at the end of the analysis, things not yet understood remain. Examples of differences could be multiplied.
By brooks too broad for leaping The lightfoot boys are laid; The rose-lipt girls are sleeping In fields where roses fade. These symbols point to things outside themselves, and create internal structures that aim for beauty. By contrast 1859-1936 lived a quiet life. If and if , then the expression on the left side of the inequality equals , while the expression on the right side equals. Can somebody help with the big difference? In addition to meanings conveyed by patterned symbols, poetry and applied mathematics have in common both economy and mystery. Provide details and share your research! The patterns in these eight lines interweave meter, rhyme, ending accent, internal repetition, play on the letters r and l, alliteration, du-bi-du consonants, and two layers of chiasmus, within two symmetrical stanzas.
The added thrill of doing something forbidden, like eating dessert first, comes free. In 2000, Zbaganu published a fact new to mathematics: If is a positive integer a counting number like 1, 2, 3, … , and and are any nonnegative real numbers any fractional or whole number larger than or equal to zero, such as 17 or 0. They were generated by a formal process that any mathematician, pure or applied, regards with total disbelief. It was the loss of limbs, you see, that brought the poem to mind. At Cambridge, Empson won firsts in mathematics and English. That is about as far as one can go without having any idea of the meanings of the symbols.
In August 1893, Housman wrote: With rue my heart is laden For golden friends I had, For many a rose-lipt maiden And many a lightfoot lad. We must not be too weighed down by the rue of remembrance of things past, but instead must learn to live in the present and appreciate our loved ones while we have them, knowing they will not be with us always. Empson wrote: As apples do differ from oranges, poetry does differ from applied mathematics, despite their commonalities. Ward, John Ramsden Williamson The LiederNet Archive: Texts and Translations to Lieder, mélodies, canzoni, and other classical vocal music With rue my heart is laden Language: English With rue my heart is laden For golden friends I had, For many a rose-lipt maiden And many a lightfoot lad. At that level of sophistication, the surface meaning of The Odyssey is equally simple: Odysseus has trouble getting home.