Euler and Hamiltonian Circuits

Euler and Hamiltonian Circuits As I type this sentence millions of students all over the country are in their math class either a) struggling to open their eyelids or b) tapping their fingers due to boredom and impatience. They have all failed to understand how the topic would later come of use. Although mathematics may seem to be â€Å"unnecessary† it teaches our brains to strategize, and think differently through the use of trial and error and problem solving. Most individuals consider mathematics to be a dreadful topic, and can never really comprehend how it can be beneficial in our lives on a daily basis.Most of the time, they may seem to be correct. However, they are not. Most of the time, we are using its strategies without even acknowledging it. We use it for almost anything we do: currency, measurement, time, etc. Two examples of math we use on a regular basis are Euler and Hamiltonian Circuits. An Euler Circuit is a circuit that reaches each edge of a graph exactly on ce. (Malkevitch, 8) This theory is named after Leonhard Euler, an outstanding mathematician during the 18th century. Euler had been the first person to study this category of circuits.In addition, he was the creator of the theory of graphs, or graph theory. One of the many things he had found was that most graphs do not have an Euler circuit at all. Euler had also contributed to the field of mathematics in various ways. He was a very creative individual, establishing more than 500 works throughout his lifetime. Euler had been considered a prodigy because he was working with the most complex mathematical calculations under the very poor conditions he lived in, and proceeded to work with these problems until he had become totally blind. Malkevitch, 9) According to Professor Clark Kimberling, some of the other things Euler had discovered or had named after him in his honor are: e (the calculus number), a,b,c (the side lengths of a triangle), f(x) (for functional value), R and r (the ci rcumradius and inradius of a triangle), sin x and cos x (values of sine and cosine functions), i (for the square root of -1), capital sigma (summation), and, lastly, capital delta (finite difference). In 1736, Euler had come up with the idea of a graph when he held the ability to solve a problem in â€Å"recreational mathematics†.He had proven that it was not possible to go to a route visiting the seven bridges of the German town of Konigsberg only, and not more than, once. A Hamiltonian Circuit is a tour that begins at a vertex of a graph and visits each vertex exactly once, and then returns to where it had originated. (Malkevitch, 35) This theory is named after Sir William Rowan Hamilton, an Irish mathematician and astronomer, who lived from 1805 to 1865. Much like Euler, Hamilton was considered a prodigy except as a child.He had the ability to read four dialects (English, Hebrew, Greek, and Latin) by the time he reached the age of four. Additionally, he enjoyed writing poe try and was able to maintain close friendships with other well-known scholars such as Wordsworth and Coleridge. When he was just twenty-three years old, he became a Professor of Astronomy in Trinity College in Dublin, Ireland. (Bowen Larry) He received the privilege of having Hamiltonian Circuits named after him because he was one of the first to study it.However, the first to discover this concept was Thomas Kirkman, a British minister with a liking for mathematics, who lived from 1806 to 1895. These two concepts are significant to the field of mathematics because they are the appropriate devices for analyzing problems where it is necessary to visit each vertex or edge only once. People often associate Hamiltonian Circuits with Euler Circuits because they both prohibit reuse. Euler Circuits prohibits the reuse of edges whereas Hamiltonian Circuits do not allow the reuse of vertices.Both Euler and Hamiltonian circuits are extremely beneficial in our daily lives because they are clas sified under problems known as â€Å"routing problems†. According to Professor Larry Bowen, â€Å"routing problems† are problems whose solution attempts the most efficient way(s) of routing things among different destinations. These problems may appear in various areas such as: transportation, communications, and the delivery of services. Without our realization, we use Euler problems on a day-to-day basis specifically in management science.Anytime it is necessary for services to go through streets or roads the Euler Circuit theory can be more resourceful. To show more specific problems, Euler circuits can help an individual while they are salting icy roads, plowing snow, mowing grass along highways, collecting garbage, collecting debris or leaves from urban curbs, inspecting railroad tracks for flaws, or reading electric meters at private houses. (Malkevitch, 19) We use them to indicate where the arrows on the streets should be placed, and in what direction they shoul d go in.In addition, we use them to construct the schedules for when parking is forbidden. Because parking-times are massive factors in street sweeping, it is essential find a circuit that visits streets when they are free of cars. Also, we use Euler circuits to distribute territory into multiple routes for street sweepers, parking officers, and sanitation workers. The objective is to find easy routes for them to travel by as well as taking traffic direction, number of lanes, parking-time restrictions, and divided routes into consideration.All of these examples are possible through management science, a field that most people would want to attain as a career in one day. (Malkevitch, Joseph) Just like Euler circuits problems, we essentially use Hamiltonian circuit problems on a daily basis as well specifically through the use of business efficiency. Hamiltonian circuits have many applications. The deliveries of mail and packages, or water meter inspections are done with the use of Ha miltonian circuit problems because it is necessary that they meet each vertex within a graph.Some examples of its regular uses are for inspecting traffic signals, for delivering mail to drop-off boxes, or for delivering Meals on Wheels to the elderly. (Malkevitch, 35) In addition, an individual can use a Hamiltonian Circuit when they plan on going on a vacation. They would construct a graph of all the places they would like to visit and figure the distances between all of the places, and essentially they would be able to figure out which is the best possible route to take as well as with the shortest distance.As shown in the examples above, Euler and Hamiltonian circuits have made advancements to their field because they give individuals assistance in transportation, communications, and delivery of services. They give all of the following areas the ability to come up with routes in a well-organized, efficient fashion. On a personal level, these types of circuits have interested me n ot only because of the history of the individuals who created them, but also because of what these circuits are used for on a daily basis.At first, when I had learned about the topic in class I was only focused on solely the arithmetic and formulas of the problems. Later, while researching into their uses, I was then aware of how they can be used in real-life situations. With a background of this information, if I ever wish to pursue a career in management science or business efficiency, I will have a general idea of how it works. Overall, these circuits can teach an individual how mathematics comes into play in real-life situations. Works Cited 1. Bowen, Larry, Dr. â€Å"Quick Summary. † Quick Summary. University of Alabama, n. . Web. 28 Nov. 2012. . 2. Malkevitch, Joseph. â€Å"Chapter 2: Business Efficiency. † For All Practical Purposes: Mathematical Literacy in Today's World. 9th ed. New York: W. H. Freeman and, n. d. 35-57. Print. 3. Malkevitch, Joseph. â€Å"Cha pter 1: Urban Services. † For All Practical Purposes: Mathematical Literacy in Today's World. 9th ed. New York: W. H. Freeman and, n. d. 5-21. Print. 4. Kimberling, Clark. â€Å"Leonhard Euler. † LEONHARD EULER. University of Evansville, n. d. Web. 29 Nov. 2012. . 5. Bowen, Larry, Dr. â€Å"Introduction. † Introduction. University of Alabama, n. d. Web. 29 Nov. 2012. .

The New Trend on the Rise Is Pop-Up Stores

Pop-up stores: new events buzz on the way Heidi Klum's old adage that, â€Å"in fashion, one day you're in, and the next day you're out,† has seldom been applied to the retail side of shopping – until now. The rise of the â€Å"pop-up shop† has emerged as a trend in shopping that, despite what its premise would suggest, has surprisingly maintained steadfast popularity. After all, fashion is arguably one of the most fickle and volatile industries out there, so it comes as no surprise that the stores that display its wares should come and go in the same manner. WHAT IS A POP STRORE AND WHAT IS IT FOR?Between street marketing and traditional boutique, for a few days, few weeks, few months, or for an indefinite period, Pop-up stores are â€Å"ephemeral store† custom created for the brand or product showcase. More user-friendly and interactive than traditional stores, these stores play mainly with the atmosphere which must symbolize a product or brand identity. As the company says, â€Å"My Pop Up Store†, specializing in the creation of ephemeral stores, Pop-up stores enable companies or brands to â€Å"enjoy a seasonal, celebrate a big event, launch a new product or repositioning.The idea is to highlight the world of a product, brand or business (traditional for the upgrade or new to anchor) through the store's decor and activities that are proposed. Finally, like any fad, and as it is still an innovative practice in France, launching a pop-up store gives the company the status of a pioneering communication company at the forefront of the trend. It is an important asset for companies whose turnover is related to fashion, new technology or who need to prove they are â€Å"connected†.THE FENOMENOUS Pop-up shops, temporary stores that have sprung up in shopping destinations worldwide, have a tendency to draw in huge crowds, buzzing with exclusivity and spontaneity. After all, who can deny the inner hipster in us just itching for items that only a few thousand will have the opportunity to own? Veritably, pop-up stores are glorified â€Å"One-of-a-Kind Shows,† in miniature. A few years ago, when cheap real estate was scarce, pop-up stores were a major investment for marketers.Now temporary stores have emerged as a perfect solution for cash-strapped brands, commission-hungry brokers and landlords faced with a glut of commercial real-estate space. Brands are using these interim spaces as a means to create buzz, test new concepts or even evaluate a new neighborhood or city. While temporary stores first began popping up with some regularity in 2003, sky-high rents and a lack of available space made them a massive undertaking for brands. Now, in the midst of the recession, the shops are being viewed as a logical, and even inexpensive, marketing tool.In the past few months, high-end brands including Hermes, Emilio Pucci and La Perla have embraced the pop-up-shop concept, as have Gap, Seven For All Mankin d, Daffy's and others. But it's not just limited to fashion brands. Furniture designer Kenyan Lewis, wine bar MADCrush, chef Tom Colicchio, and the New Jersey Division of Travel and Tourism have also jumped on the pop-up wagon. Though pop-up retail has established itself in the industry as â€Å"hip† and â€Å"cool,† it creates a frenzied experience and gives new meaning to the term â€Å"impulse shopping. There is a fine line between exclusive shopping and a hyped-up marketing stunt. Regardless of whether or not the pop-up shop will ever replace shopping at tried and true static outlets, these ad hoc retail installations are a mainstay for shopaholics and trend-hunters alike. â€Å"Opening up a pop-up store can generate a lot of buzz for the brand,† said Mike Kraus, retail adviser for AllBusiness. com. â€Å"In a media marketplace that's fragmented, [brands] are trying to find interesting ways to reach the public. No matter who opens one and where it opens, m edia is covering it. Brushfire Marketing, which worked with the New Jersey Division of Travel and Tourism on the Jersey Shore Store, said the temporary shop garnered nearly $1 million in earned media. The agency said the store led to 46 broadcast segments and 21 print and online placements. On average, 1,000 visitors passed through the store each week and 500 pieces of collateral were handed out daily. ONE-ON-ONE MARKETING â€Å"It's one-on-one marketing,† Mr. Leonardi said. â€Å"In a recession, when marketers are looking for alternatives, they need to ask how can they do something different, something maybe less expensive, something that's not a long-term investment. People familiar with the real-estate business say that, today, landlords are much more likely to entertain temporary tenants. And in many cases, rents are significantly cheaper than they were just a year ago. Indeed, brands are finding availability in major cities such as New York, Boston, Los Angeles, Miami, London, Paris and Hong Kong, as well as smaller towns such as East Hampton, New York. â€Å"The rules of the game have changed,† Mr. Kraus said. â€Å"[Brands] are finding that they can jump into a space for a few months, and they're not stuck with having to sign a five-year lease. Faith Hope Consolo, chairman of the retail division at Prudential Douglas Elliman, said landlords are embracing the shops in part because it keeps activity on the street alive. If a street starts to become quiet, shoppers will move on to other areas and may not return, even when business picks up, she said. â€Å"Landlords love these shops. It gives them some income while they continue to search for and negotiate with permanent tenants. And in some cases, these temporary stores can become the permanent tenants,† she said. â€Å"[Brands] get to test retail or a new product line or format at a greatly reduced cost.This is a win-win situation during a challenging retail time. † Probably the hardest part of determining what pop-ups mean for regular retailers is the fact that they are so hard to classify – anything goes. For instance, sisters Caillianne, Samantha and Chloe Beckerman, designers of the label Beckerman , hosted a pop-up lounge event at Yonge-Dundas Square in Toronto earlier this month. The â€Å"Summer Lounge† is pretty much exactly what it sounds like – a chance to sip drinks and enjoy music while perusing a curated selection of H&M's upcoming summer collection.Others prefer a smorgasbord of brands not readily available in the country; like Sauvage , which opened in Queen West's Burroughes Building, offering handbags and accessories from labels that have never made their way to Toronto. We've even seen the emergence of restaurant pop-ups, with celebrity and notable chefs headlining – the designers of the foodie world. It's the ultimate way for chefs to boost their personal brands, as young chef Matthew Sullivan did with his pop-up dinner series, Boxed. Even once-a-year-dinner-parties are gaining traction with celebrity chefs, in particular, the Banana Mafia.If their moniker alone isn't enough to sell you on the concept, these notable Toronto chefs, such as Nick Liu, Robbie Hojilla, Jeff Claudio and more, recently held their inaugural Asian Street Market party, which already has foodies' tummies rumbling for next year's event. BENEFITS While the lack of long term commitment is most appealing, there are also many other advantages to opening a pop up shop. For starters, it’s a great way to explore new neighborhoods, cities or even other states in an effort to test new markets for a permanent storefront.Additionally, pop up shops offer multiple vendors a chance to display their products together, creating powerful merchandising opportunities that translate into sales. The benefits for retailers are unequivocal, especially for independent and lesser known designers. For one, only operating on a temp orary basis means not having to fork out the cash for highly sought-after real estate in prime shopping areas – especially during slow months (because who wants to shop in January and February anyway? ). It's our primal instinct to want the things we can't have.So it goes without saying that spontaneity, coupled with high-end designers and exclusive collections will have us throwing cash at retailers. For shopping and fashion purists, pop-ups represent the hunt. There's nothing more satisfying than landing a piece from a designer who may not sell in your city (an all-too-familiar horror in Canada), and to rub elbows with the fashion industry's noteworthy insiders. It's becoming evident that the pop-up shop has to keep up and deliver on the hype and buzz (as well as chaos and frenzy).The products themselves are only the beginning; celebrities, exclusive collections, lounges and parties certainly deliver on what they promise. The pop-up might represent a marketing agent's wet d ream, but we're okay with that, since we get to reap the benefits too. TARGETED CONSUMER Pop-up store are particularly segmenting. They are intended for particular audiences, clearly defined and targeted. This is also the principle and interest of these ephemeral stores: address a potential target consumer using the codes it work.As shown by several studies in recent months, the overall consumption (especially with the advent of the net) is currently moving towards a greater segmentation. Brands will increasingly specialize and products covering risk losing market share. In this economic and social individualization of consumption, Pop-up store targeted â€Å"communities† seem to be one appropriate response. In this it seems logical to predict yet beautiful days at this new marketing tool. Five Things to Consider Before Popping Up 1. Do your research.Is the space empty because of a lack of foot traffic in the area or because of some issue with the property? Remember the space is vacant for a reason. 2. Don't scrimp. Even though the space is temporary, you should budget for a build out that is in keeping with the brand's image. 3. Get creative. As pop-ups become the norm, you'll need more effort to attract attention. DJs, freebies, special events, celebrity appearances and contests keep the publicity rolling. 4. Don't expect a profit. Pop-up stores are more about buzz than sales.But the longer a store is open the more likely you'll be profitable. 5. Take a chance. Try a new neighborhood, a new design, a new product, a new marketing tack. If it doesn't work, it's only temporary. That's the beauty of a pop-up. EXEMPLES OF POP-UP STORE NICOLA FORMICHETTI The fashion icon Nicola Formichetti has created its own brand of haute couture. To inaugurate the launch of the brand, it was also decided to create a pop-up store named â€Å"Nicola's† where he will present a retrospective of his work with his new creations to highlight its style, anchoring his mark an artistic universe.For the event, Nicola Formichetti took to his blog, tumblr , and twitter account, an announcement of a contest to collaborate with him in the construction of it. The announcement brought architects and construction companies from all over the world, to present their ideas to the unorthodox Formichetti. Designer for Mugler, stylist for Lady GaGa and creative director for Uniqlo, MAC, Vogue Japan and V Magazine, Nicola Formichetti is unstoppable. Coinciding with fashion week, this new installation is only viewable for 2 weeks and is intended to fuse fashion and architecture to create a new creative space.Gage/Clemenceau Architects, the winners from the BOFFO contest, a non profit organization that organized the contest for the temporary installation. The duo of architects has been working closely with Nicola, who decided them as winners, just by looking at the first page of their proposal. HERMES For the first time since its inception in 1837, Hermes have opened in May 14th 2012 its ephemeral boutique rue de Sevres in Paris. It is located in the same street as the main store. The pop up store, designed by Stephane Parmentier, is dedicated to Women shoes.You can discover the exclusive shoes collection Spring-Summer 2012 and the upcoming Fall-Winter 2012/2013, designed by the creative director of the brand Pierre Hardy. This uncluttered space to house code 2012 evokes the theme â€Å"the time ahead. † The shop now host the new Hermes Chinese brand Shang Xia. LOUIS VUITTON For the launch of a capsule collection Louis Vuitton x Yayoi Kusama, Louis Vuitton rolls out seven pop-up shops worldwile. The pop-up outlets opened for one to two months, offering a range of spotted trench coats, handbags, and other accessories created with the artist for Louis Vuitton.The European branches had also exclusively offer tentacle-festooned handbags two months ahead of their scheduled launch date. Louis Vuitton creative director Marc Jacobs must have been so taken with Kusama when she presented him with a customized a Louis Vuitton Ellipse bag during his first visit to her studio in 2006 that she should get special treatment. Out of the three other artists — Stephen Sprouse, Takashi Murakami, and Richard Prince — Jacobs selected to partner with the brand, Kusama is the only one to have multiple pop-up shops in her line’s honor.GUERLAIN Prelude to expansion work of the 68 avenue Champs Elysees, Guerlain opened his own pop-up store, avant-garde space and interactive animation for several workshops in connection with home products. Aesthetics and mischievous daring decoration translate the codes and symbols emblematic of Guerlain in an atmosphere of total modernity. The decoration was designed by Patricia GROSDEMANGE, House Architect, in collaboration with artists and designers such as Nathalie Auzepy Catherine Square and Maryse Dugois-Guillope.Each symbol (filter perfumers, honeycomb, flasks) was diverted to illus trate the ability of Guerlain maintain its history and tradition in the heart of the image while updating. A decoration which also democratize the brand prestige giving it a quirky and fun character. And the concept of pop-up store is extended into the workshops. At the entrance, the Art Box makes a point on Guerlain actuality and the newness. The Perfumers Workshop decorated with cones, bottles and raw materials, unveils Thierry Wasser’s creations, the nose of the house. Visitors can even consult an expert to help them choose the fragrance that suits them.

Classical to the Post-Modern Eras Essay

In this essay, I’m going to trace the development of Classical Music from the late 1750s to the Post-Modern era in the 2000s and provide a brief history of music, and how they link together to form what we have today. There are many preconceptions of what the history of music is. Some people think it is mainly a biography of composer’s lives, but they are wrong. The history of music is primarily the history of musical style. In order to appreciate this, it is essential to become acquainted with the different sounds and to hear them in their contexts. Fashions in history change with the generations, like fashions in musical tastes. Lets first start with the classical music, Classical is an era; it is from about 1730 to just after 1800. A few people who contributed to the music in the Classical era are: Ludwig van Beethoven, Joseph Haydn and Wolfgang Amadeus Mozart. The Classical period focused on the opposite types of sounds- music during that period was orderly, uncluttered, well planned and precise. Music was expected to be technically pleasing and grounded in certain traditions and styles that had been approved by the public, often quite formal. Composers were seen as workers who were hired to write music that would please their employer (Sagebiel). The classical period of music combined harmony, melody, rhythm, and orchestration more effectively than earlier periods of music. The classical period is best known for the symphony, a form of a large orchestral ensemble. The symphonic pieces generally had three movements, the sonata, the minuet and the finale. Building of the achievements of earlier composers, Haydn, and Mozart brought the symphony to its peak in the last twenty years of the 18th century. Haydn excelled in rhythmic drive and development of theme-based music (Bishop 325). Mozart also added to the symphony by contrasting memorable lyric themes in full sounding orchestral settings. There are many styles of music within classical music, including symphony, opera, choral works, chamber music, Gregorian chant, the madrigal, and the Mass. A Classical composition will fluctuate in mood. Not only there are contrasting themes within a movement, but there also may be striking contrasts even within (Vardy). In Classical music, there is a flexibility of rhythm. A classical composition has a wealth of rhythmic patterns. Classical music is basically homophonic. However, texture is treated as flexibly as rhythm. Classical melodies are among the most tuneful and easy to remember. The Classical composers’ interest in expressing shades of emotion led to the widespread use of gradual dynamic change – crescendo (gradually getting louder) and diminuendo ( gradually getting softer). By varying the finger pressure on the keys, a pianist can play more loudly or softly. Classical works show a great deal of musical sophistication and use development, key changes, variation, musical phrases of varying lengths, counterpoint, polyphony and advanced harmony development. It uses very specific instruments, most markedly those invented before mid-10th century and adopted in the 18th and 19th centuries, such as instruments like violin, cello, viola, woodwind instruments, brass instruments and other instruments in the orchestra and solo instruments such as piano, harpsichord, organ and guitar. The classical period had a musical style that was consistent, which means that if you were a composer in this time period; you knew what was expected of you. Haydn had a huge influence on the development if Classical music and so did Beethoven but he chose to focus on a more romantic style which had a simple chord structure. This brings us to the Romantic era; The Romantic music period began in 1825 and ran until 1900. Several historical themes were at work during this period, including the increasing role of science as a worldview, the rise of nationalism in Europe, and a growing appreciation for the arts. The style of the Romantic music period is generally characterized by a wider range of dynamics, a greater variety of instruments, more dramatic melodies, more extreme tempos, fuller harmonies, and expanded formal structures within the compositions. Some of the most famous composers of all time lived and worked during the Romantic music era. Schubert, Chopin, Wagner, Brahms, and Mahler are among the most recognizable names. The transition from nineteenth-century Romanticism to twentieth-century Modernism is perhaps one of the big points in music history. Because the speed of twentieth-century innovation in all areas has been so accelerated, music has also moved from one new idea to another with such speed that no previous era can be compared to. Technology and scientific discovery are probably the basic influences on musical creativity and production. Dissonance became very important and in fact most of the pieces are made up of dissonant chords (Palisca). During the Modern era, many new musical techniques emerged. They were seen in melody , harmony , rhythm, meter, texture, tonality, and sonority . It is important to note that during the twentieth century not all changes in music were a revolution or a return to old ideals. Contrapuntal textures in music dominate the Modern era. While, homophonic textures are present, it is to a lesser degree and with less importance. During the 20th century, tone color has become a more important element of music then it was ever before. It has a major role which is creating variety, continuity and mood. Consonance is no longer in use in the 20th century. 20th century music sound fantasy like, distant and mystifying. Chords are never as fundamental as it is in previous centuries. Poly chords are created by placing one traditional chord over another. The rhythmic vocabulary of the 20th century was expanded with increased emphasis on irregularity and unpredictability. The Melody was very elusive.

Supply and Demand of Online Music Streaming Essay - 1

Supply and Demand of Online Music Streaming - Essay Example Also, this mode of online streaming is much preferred over the illegal mods of accessing pirated versions of music because this is a legalized form of distribution. There are three main types of demands noted in the online streaming industry. The fans who prefer free audio show high relative elastic demand, the fans who are interested to pay a small amount of fees for streaming audio contents display a mild relative elastic demand in this industry and the fans who are interested to pay any amount for listening to their favourite audio contents account for the highly relative inelastic demand in the online streaming industry (Liebowitz, 2006). Not only the published contents but also electronic musical festivals which are difficult for every person to attend are seeing high popularity of online streaming, As the suppliers try to drive the prices of online streaming, this is also supported by the increasing demand of online streaming by different groups of fans. The market forces have shifted the demand curve towards a steeper trend because the changing landscapes of this industry and digital contents industry have made it favourable for online audio streaming (Krueger, 2005). Also, the increasing threat of content piracy to the considered industry has made the suppliers in this industry support the growth and popularity of online streaming of audio. The streaming of music festivals, rock concerts as well as live playing by musicians have seen an aggregate increase in demands over the recent years.

Wetted wall column Coursework Example | Topics and Well Written Essays - 3000 words

Wetted wall column - Coursework Example According to Mass balance (also known as material balance), and assuming that there no accumulation of materials in the system, or there is no loss associated with process under which the materials entering the system are undergoing, the mass of materials entering the system is equal to the mass of materials (components) leaving the system (Atkins 1997). See the diagram below. If accumulation occurs in the system, the mass of materials entering the system is equal to the mass of materials leaving the system plus the mass of materials that have accumulated in the system. This can be as shown in the equation below, One of the ways in which mass balance can be studied theoretically is through wetted column. A wetted column experiment consists of a vertical tube in which a gas is flowing either co-current or counter current to a liquid (the liquid has to be volatile in nature) (Sinnott 2007). The interface area between the liquid column (thin film) and the gas can be measured and is usually constant (Dainitiyh 1996). In the wetted column the volatile liquid is usually flowing down the surface of the wetted tube in a very thin film (Kim 2007). From the rate at which the volatile liquid change to gaseous state (evaporation), the coefficient of the mass transfer of the gas phase can be calculated. The rate of mass transfer in wetted column (also rate of evaporation) normally depends on the conditions that prevail in the area (interface) between the gas stream and the thin liquid column (film). In the wetted column, the gas flow is either laminar or turbulent, that is, the flow of the gas is either smooth or associated with ripples at the interface. The mass balance of the materials (in this case water vapour) that are transferred from the film of the liquid to the air along the column (assuming that the transfer has taken place throughout the length of the tube (column)) is

The Simplicity and Complexity of Endangerment Essay

The Simplicity and Complexity of Endangerment - Essay Example For the past number of years, there has been a tremendous increase in the rate at which species have become extinct. What's actually more alarming than that is the fact that this rate increases exponentially over time. And when it continues, the stability of the entire ecosystem will be place at risk, especially when key species in the food chain will cease to exist. Today, most of the world's habitats are changing faster than most species can adapt to such changes through evolution, or natural selection. Despite endangerment being a universal concept, most people aren't really aware as to the ins and outs of this seemingly simple concept. Most important of all, everyone should be made more conscious with regard to this issue, as drastic changes will affect everyone else over time. Animals do not just get endangered and go into extinction. ... nt can be solved, if not minimized, is for people to take charge and be more active about protecting the environment where endangered species are found. The rarer an animal or plant is, the more money it can bring on the black market. Many smugglers are amateurs, such as tourists and travelers, who attempt to conceal endangered plants, reptiles, birds, and insects in their luggage. But most are seasoned professionals who use sophisticated techniques and well-organized routes to transport their illicit cargo. There are numerous causes of endangerment of certain species, but there are certain factors that are common to all species. a. Habitat Destruction The primary causes of species extinction or endangerment are habitat destruction. Such activities like plant collecting, trade in animal plants and hunting damage and caused pollution into an area, these direct habitat destruction can cause direct destruction to most species. Due to continuous changes of our planet, animals' habitats are also continuously being changed. There are certain natural changes that happen, often at a steady pace that affects individual species. But when these natural changes happen faster than they're supposed to, then these species don't have the time they need in order to adjust. For an instance, sea turtles are considered threatened because of benign tumors that put them in a serious global threat. They are appeared to have an increasing frequency on the head and internal organs of sea turtles and can literally smother the animals to death. According to Jacobson, the scientist "Sea turtle tumors are one of the few diseases in any animals that have appear ed worldwide this could signal major changes in the earth's aquatic environment." As a consequence, this has become one of the most common

Child observation Essay Example | Topics and Well Written Essays - 4500 words - 1

Child observation - Essay Example Trish said â€Å"Hello!† and continued playing with blocks. Nate took some of her blocks from the tray and he also began to build something. Both children did not speak to each other and were very busy with what they were doing. I think Trish wanted to hold on longer to her mother because she is aware that they will be apart for the day. She was trying to assert her independence when she said â€Å"No!† which I believe is a powerful word for toddlers because it shows they can speak up for themselves. As her mother was walking away, I wonder what was running through Trish’s head. Is she afraid she will not see her mother anymore? Does she want to go with her mother? When the caregiver took her, it did not take long for Trish to stop crying as she was attracted to the toys on the shelf. I thought toddlers get distracted easily and they are fascinated with objects that stimulate their thinking. I think this is because they are in Piaget’s Pre-Operational Stage of Development when they begin playing with toys as symbols for something else. I believe she sees the blocks as tools to give life to her imagination. . I learned from Piaget that especially for very young children, they need concrete materials to help them learn better I think Trish felt comfortable with Nate because she did not mind him sitting beside her and taking some pieces of her blocks. Trish is still learning verbal skills and at her age, it is still very limited. I think if she had more verbal skills, she would engage in a conversation with Nate. I felt sorry for Trish when she clung to her mother. I just wanted to pick her up, comfort her and assure her that her mother will be back soon. As a mother myself, I feel her mother’s pain in leaving her at the centre but also understand that she needs to work. Trish was playing by herself at the play stove. The caregiver squatted near her and asked her what she was doing. Trish said