Use of Landscape as form of Expression in Tintern Abbey by William Word

Wordsworth is a split and exiled, yet transcendent and visionary poet who creates community by inserting the idealized Romantic poet into the ideological center interpellating those around him into similar subject positions. But, how can Wordsworth, a separated individual, reveal his heightened awareness to the rest of humanity? He answers in his "Preface to Lyrical Ballads" when he asserts that poets like himself can communicate their alternate awareness "[u]ndoubtably with our moral sentiments and animal sensations, and with the causes which excite these; with the operations of the elements and the appearances of the visible universe [. . .]" (Norton 173). Poets can express their alternate perception through a shared experience of the landscape. Landscapes are a reflection of the ideology at the centre. Simon Schama argues in Landscapes and Memory, "Landscapes are culture before they are nature; constructs of the imagination projected onto wood, and water and rock" (61). The real world exists but because we can never unproblematically engage with reality, we make it over, re-present it as landscape. In this way, landscape is ideological, is a cultural construct draped over reality. As Wordsworth writes in Tintern, the perceptions of the eye and ear are "both what they half-create and what perceive" (107-108). According to Wordsworth, nature has become the "anchor" (110) of his thoughts, the tether that restrains his creative imagination. But because landscape is based on the real, it can also be used to express an alternate ideology. Wordsworth's approach to landscape is chiliastic, to use Karl Mannheim's term. In Ideology and Utopia, Mannheim argues that although Chiliasm "has always accompanied revolutionary ... ..., a book of poetry by Black, lesbian, Trinidadian-Canadian poet Dionne Brand. Read in conjunction with Wordsworth's 14th book of the Prelude, we can see the obvious parallels between landscape and subject construction. However, rather than taking flight from a precipice, Brand's poetic self takes flight from a beach, from ground level, symbolizing her non-universal yet communal creation of landscape. She writes: I have become myself. A woman who looks at a woman and says, here, I have found you, in this, I am blackening in my way. You ripped the world raw. It was as if another life exploded in my face, brightening, so easily the brow of a wing touching the surf, so easily I saw my own body, that is, my eyes followed me to myself, touched myself as a place, another life, terra. They say this place does not exist, then, my tongue is mythic. I was here before.

Ada Solution Manual

This ? le contains the exercises, hints, and solutions for Chapter 1 of the book †Introduction to the Design and Analysis of Algorithms,† 2nd edition, by A. Levitin. The problems that might be challenging for at least some students are marked by ; those that might be di? cult for a majority of students are marked by . Exercises 1. 1 1. Do some research on al-Khorezmi (also al-Khwarizmi), the man from whose name the word â€Å"algorithm† is derived. In particular, you should learn what the origins of the words â€Å"algorithm† and â€Å"algebra† have in common. 2. Given that the of? cial purpose of the U. S. patent system is the promotion of the â€Å"useful arts,† do you think algorithms are patentable in this country? Should they be? 3. a. Write down driving directions for going from your school to your home with the precision required by an algorithm. b. Write down a recipe for cooking your favorite dish with the precision required by an algorithm. 4. Design an algorithm for swapping two 3 digit non-zero integers n, m. Besides using arithmetic operations, your algorithm should not use any temporary variable. 5. Design an algorithm for computing gcd(m, n) using Euclid’s algorithm. 6. Prove the equality gcd(m, n) = gcd(n, m mod n) for every pair of positive integers m and n. 7. What does Euclid’s algorithm do for a pair of numbers in which the ? rst number is smaller than the second one? What is the largest number of times this can happen during the algorithm’s execution on such an input? 8. What is the smallest and the largest number of divisions possible in the algorithm for determining a prime number? 9. a. Euclid’s algorithm, as presented in Euclid’s treatise, uses subtractions rather than integer divisions. Write a pseudocode for this version of Euclid’s algorithm. b. Euclid’s game (see [Bog]) starts with two unequal positive numbers on the board. Two players move in turn. On each move, a player has to write on the board a positive number equal to the difference of two numbers already on the board; this number must be new, i. e. , different from all the numbers already on the board. The player who cannot move loses the game. Should you choose to move ? rst or second in this game? 10. The extended Euclid’s algorithm determines not only the greatest common divisor d of two positive integers m and n but also integers (not necessarily positive) x and y, such that mx + ny = d. a. Look up a description of the extended Euclid’s algorithm (see, e. g. , [KnuI], p. 13) and implement it in the language of your choice. b. Modify your program for ? nding integer solutions to the Diophantine equation ax + by = c with any set of integer coef? cients a, b, and c. 11. Locker doors There are n lockers in a hallway, numbered sequentially from 1 to n. Initially all the locker doors are closed. You make n passes by the lockers, each time starting with locker #1. On the ith pass, i = 1, 2, . . . n, you toggle the door of every ith locker: if the door is closed, you open it; if it is open, you close it. For example, after the ? rst pass every door is open; on the second pass you only toggle the even-numbered lockers (#2, #4, . . . ) so that after the second pass the even doors are closed and the odd ones are open; the third time through, you close the door of locker #3 (opened from the ? rst pass), open the door of locker #6 (closed from the second pass), and so on. After the last pass, which locker doors are open and which are closed? How many of them are open? 2 Hints to Selected Exercises 1. 1 1. It is probably faster to do this by searching the Web, but your library should be able to help, too. 2. One can ? nd arguments supporting either view. There is a well-established principle pertinent to the matter, though: scienti? c facts or mathematical expressions of them are not patentable. (Why do you think this is the case? ) But should this preclude granting patents for all algorithms? 3. You may assume that you are writing your algorithms for a human rather than a machine. Still, make sure that your descriptions do not contain obvious ambiguities. Knuth ([KnuI], p. 6) provides an interesting comparison between cooking recipes and algorithms. 6. Prove that if d divides both m and n (i. e. , m = sd and n = td for some positive integers s and t), then it also divides both n and r = m mod n and vice versa. Use the formula m = qn + r (0 ? r < n) and the fact that if d divides two integers u and v, it also divides u + v and u ? v. (Why? ) 7. Perform one iteration of the algorithm for two arbitrarily chosen integers m < n. 9. a. Use the equality gcd(m, n) = gcd(m ? n, n) for m ? n > 0. b. The key is to ? gure out the total number of distinct numbers that can be written on the board, starting with an initial pair m, n where m > n ? 1. You should exploit a connection of this question to the question of part (a). Considering small examples, especially those with n = 1 and n = 2, should help, too. 10. Of course, for some coef? cients, the equation will have no solutions. 11. Tracing the algorithm by hand for, say, n = 10 and studying its outcome should help answering both questions. 3 Solutions to Exercises 1. 1. Al-Khwarizmi (9th century C. E. ) was a great Arabic scholar, most famous for his algebra textbook. In fact, the word â€Å"algebra† is derived from the Arabic title of this book while the word â€Å"algorithm† is derived from a translation of Al-Khwarizmi’s last name (see, e. g. , [KnuI], pp. 1-2, [Knu96], pp. 88-92, 114). 2. This legal issue has yet to be settled. The current lega l state of a? airs distinguishes mathematical algorithms, which are not patentable, from other algorithms, which may be patentable if implemented as computer programs (e. g. , [Cha00]). 3. n/a 4. ALGORITHM Exchange valueswithoutT(a,b) //exchange the two values without using temporary variable //Input:two numbers a,b. //Output:exchange values of a,b a=a+b; b=a-b; a=a-b; ALGORITHM Euclid (m,n) // Computes gcd(m. n) by Euclid’s algorithm // Input: Two nonnegative, not-both-zero integers m and n // Output : Greatest common divisor of m and n while n ? 0 do r 5. 6. Let us ? rst prove that if d divides two integers u and v, it also divides both u + v and u ? v. By de? nition of division, there exist integers s and t such that u = sd and v = td. Therefore u  ± v = sd  ± td = (s  ± t)d, i. . , d divides both u + v and u ? v. 4 Also note that if d divides u, it also divides any integer multiple ku of u. Indeed, since d divides u, u = sd. Hence ku = k(sd) = (ks)d, i. e. , d divides ku. Now we can prove the assertion in question. For any pair of positive integers m and n, if d divides both m and n, it also divides both n and r = m mod n = m ? qn. Similarly, if d divides bot h n and r = m mod n = m ? qn, it also divides both m = r + qn and n. Thus, the two pairs (m, n) and (n, r) have the same ? nite nonempty set of common divisors, including the largest element in the set, i. . , gcd(m, n) = gcd(n, r). 7. For any input pair m, n such that 0 ? m < n, Euclid’s algorithm simply swaps the numbers on the ? rst iteration: gcd(m, n) = gcd(n, m) because m mod n = m if m < n. Such a swap can happen only once since gcd(m, n) = gcd(n, m mod n) implies that the ? rst number of the new pair (n) will be greater than its second number (m mod n) after every iteration of the algorithm. 8. Algorithm: While i 0) && (numbers[j-1] > index)) { numbers[j] = numbers[j-1]; j = j – 1; } numbers[j] = index; } } 3. Align the pattern with the beginning of the text. Compare the corresponding characters of the pattern and the text left-to right until either all the pattern characters are matched (then stop–the search is successful) or the algorithm runs out of the text’s characters (then stop–the search is unsuccessful) or a mismatching pair of characters is encountered. In the latter case, shift the pattern one position to the right and resume the comparisons. 4. a. If we represent each of the river’s banks and each of the two islands by vertices and the bridges by edges, we will get the following graph: 0 a a b c b c d d (This is, in fact, a multigraph, not a graph, because it has more than one edge between the same pair of vertices. But this doesn’t matter for the issue at hand. ) The question is whether there exists a path (i. e. , a sequence of adjacent vertices) in this multigraph that traverses all the edges exactly once and returns to a starting vertex. Such paths are called Eulerian circuits; if a path traverses all the edges exactly once but does not return to its starting vertex, it is called an Eulerian path. b. Euler proved that an Eulerian circuit exists in a connected (multi)graph if and only if all its vertices have even degrees, where the degree of a vertex is de? ned as the number of edges for which it is an endpoint. Also, an Eulerian path exists in a connected (multi)graph if and only if it has exactly two vertices of odd degrees; such a path must start at one of those two vertices and end at the other. Hence, for the multigraph of the puzzle, there exists neither an Eulerian circuit nor an Eulerian path because all its four vertices have odd degrees. If we are to be satis? d with an Eulerian path, two of the multigraph’s vertices must be made even. This can be accomplished by adding one new bridge connecting the same places as the existing bridges. For example, a new bridge between the two islands would make possible, among others, the walk a ? b ? c ? a ? b ? d ? c ? b ? d a a b c b c d d If we want a walk that returns to its starting point, all the vertices in the 21 corres ponding multigraph must be even. Since a new bridge/edge changes the parity of two vertices, at least two new bridges/edges will be needed. For example, here is one such â€Å"enhancement†: a a c b c d d This would make possible a ? b ? c ? a ? b ? d ? c ? b ? d ? a, among several other such walks. 5. A Hamiltonian circuit is marked on the graph below: 6. a. At least three â€Å"reasonable†criteria come to mind: the fastest trip, a trip with the smallest number of train stops, and a trip that requires the smallest number of train changes. Note that the ? rst criterion requires the information about the expected traveling time between stations and the time needed for train changes whereas the other two criteria do not require such information. . A natural approach is to mimic subway plans by representing stations by vertices of a graph, with two vertices connected by an edge if there is a train line between the corresponding stations. If the time spent on changing a tra in is to be taken into account (e. g. , because the station in question is on more than one line), the station should be represented by more then one vertex. 22 7. procedure Queens(unused, board, col, N) if col > N then print board else{ col

Should Marijuana Be Legalized - 1714 Words

Julie Nguyen Nguyen 1 Professor Gary Jason Business Ethics 312 18 April 2016 Drugs in the United States There has been controversy centered around the thought of legalizing drugs in the U.S and the effects of legalizing or not legalizing drugs. There are several drugs such as cocaine, heroin, opium, to name a few, with the most common being marijuana. The question raised on this topic is whether we should prohibit drug use, making it illegal or only allow marijuana to be legal. Discussions on this topic mention that drugs will be available in the market despite marking it illegal and will still be accessible in the black market regardless whether we choose to have this option available. However, some argue that these†¦show more content†¦$8.7 billion in savings would result under marijuana alone, and 32.6 billion on the scale of other drugs, like heroin and opium. Nguyen 2 Many see the legalization of drugs an opportunity for financial growth in the economy. This would garner interest in California, as the state government faced a budget deficit of around $20 billion during the year 2011. Following this argument, both Waldock and Miron mention that costs saved from legalizing drugs are greater than the option of decriminalization. They argue that this result is the cause of three reasons, first, jail sentences or even arrests made for possessing a small amount is significantly decreased. Second, costs related to prosecution or incarceration in comparison to decriminalization, which is shown to be much more minimal in savings. Third, a tax can be placed in drug production and also for being sold as well. In addition, another benefit in which legalizing drugs can provide would it’s health benefits. This argument is more applicable for the drug, marijuana, as there are many uses for this drug for medicinal purposes. Massachusetts, California and New Jersey are some states that legalize marijuana and use of the drug under certain conditions. A medical condition that marijuana has proven to have shown a positive effect on is cancer. Many patients diagnosed with cancer who experience and have to go under chemotherapy find that marijuana helps in aspects of mood, nausea and vomiting and