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Give a rationale for your answer. It can be seen from Eq. Equation 2. Plane stress is the situation where the stresses in one of the direction on an element are zero; plane strain is the situation where the strains in one of the direction are zero.
Would it matter if the coating was harder or softer than the substrate? The answer depends on whether the coating is relatively thin or thick. For a relatively thick coating, conventional hardness tests can be conducted, as long as the deformed region under the indenter is less than about one-tenth of the coating thickness.
If the coating thickness is less than this threshold, then one must either rely on nontraditional hardness tests, or else use fairly complicated indentation models to extract the material behavior. As an example of the former, atomic force microscopes using diamond-tipped pyramids have been used to measure the hardness of coatings less than nanometers thick. As an example of. Several answers that are acceptable, and the student is encouraged to develop as many as possible. Two possible answers are: 1.
There is a tradeoff between mathematical complexity and accuracy in modeling material behavior 2. Some materials may be better suited for certain constitutive laws than others 2.
By the student. An example of a bar chart for the elastic modulus is shown below. Metallic materials Tungsten. There is a smaller range for metals than for nonmetals; 2. Thermoplastics, thermosets and rubbers are orders of magnitude lower than metals and other non-metals; 3. Diamond and ceramics can be superior to others, but ceramics have a large range of values.
The results show indicate that the hardness is too high, indicating that the material may not have sufficient ductility for the intended application. The supplier is reluctant to accept the return of the material, instead claiming that the diamond cone used in the Rockwell testing was worn and blunt, and hence the test needed to be recalibrated. Is this explanation plausible? Refer to Fig. This then translates into a higher hardness. The explanation is plausible, but in practice, hardness tests are fairly reliable and measurements are consistent if the testing equipment is properly calibrated and routinely serviced.
The 0. The value of 0. A yield stress, representing the transition point from elastic to plastic deformation, is difficult to measure. This is because the stress-strain curve is not linearly proportional after the proportional limit, which can be as high as one-half the yield strength in some metals. Therefore, a transition from elastic to plastic behavior in a stress-strain curve is difficult to discern. The use of a 0. The hardness is related to a multiple of the uniaxial compressive stress, not just the uniaxial compressive stress, because:.
The volume of material that is stressed is different - in a hardness test, the volume that is under stress is not just a cylinder beneath the inventor. The stressed volume is constrained by the elastic material outside of the indentation area.
This often requires material to deform laterally and counter to the indentation direction - see Fig. There are many possible other definitions, of course.
It is stretched in three steps: first to a length of 1. Show that the total true strain is the sum of the true strains in each step, that is, that the strains are additive. Show that, using engineering strains, the strain for each step cannot be added to obtain the total strain. If the original material from which the wire is made is a rod 15 mm in diameter, calculate the longitudinal and diametrical engineering and true strains that the wire has undergone during processing.
The true strain from step 1 to 3 is. Therefore the true strains are additive. Using the same approach for engineering strain as defined by Eq. The engineering strain from step 1 to 3 is. Note the large difference between the engineering and true strains, even though both describe the same phenomenon. Note also that the sum of the true strains 0. The following Matlab code is useful:. Calculate its strength coefficient, K.
Note from Eq. The approach is the same as in Example 2. Assuming that a tensile-test specimen made from this material begins to neck at a true strain of 0.
The cross-sectional area at the onset of necking is obtained from Ao ln. We also know that the ratio of the original to necked areas of the specimen is given by. Following the same procedure as in Example 2.
At this point the true stresses in each cable are, from Eq. Alternately, a computer program can be written to determine the maximum load. Observe from Fig. The following Matlab code is helpful to investigate other parameters. The important equation is Eq. E GPa 14 0. G GPa 4. Recall that toughness is the area under the stress-strain curve, hence the toughness for this material would be.
Note that these values are slightly different than the. Calculate the shear stress and the normal stress, respectively, acting on the fracture surface. Assuming that compression takes place without friction, note that two of the principal stresses will be zero. This is due to the fact that a highly cold-worked metals such as these have a much higher yield stress than the annealed materials described in the text; and b arbitrary property values are given in the statement of the problem.
The work done is calculated from Eq. K and n are obtained from Table 2. For example, for O aluminum, where K is MPa and n is 0. Referring to Fig. From Eq. Therefore, the results can be tabulated as follows. The modulus of resilience is calculated from Eq. For steel: 2. What was the load on it at fracture?
The following Matlab code allows for variation in parameters for this problem. Consider a tensiontest specimen that has been strained to necking and then unloaded. Upon loading it again in tension, it will immediately begin to neck. If the original length in diagram a is mm, what should be the stretched length in diagram b so that, when unloaded, the strip will be free of residual stresses?
Note that the yield stress can be obtained from Eq. Prove that the final diameters will be the same. Subscripts f and o indicate final and original, respectively. Because both specimens undergo the same percent reduction in height, htf. This observation suggests that specimen b cannot have a true stress-true strain curve typical of metals, and that it will have a maximum at some strain.
See the accompanying figure. The force F is located at a distance ratio of Both specimens have an original cross-sectional area of 0. Plot the true-stress-true-strain curve that the material for specimen b should have for the bar to remain horizontal. Does a typical strain-hardening material behave in that manner? Based on the discussions in Section 2. Hint: Observe the events shown in Fig. The series of events that takes place in straightening a bent bar by stretching it can be visualized by starting with a stress distribution as in Fig.
As we apply tension, we algebraically add a uniform tensile stress to this stress distribution. Note that the change in the stresses is the same as that depicted in Fig.
The compressive stress. By inspecting the figure in the problem statement, we note that while specimen a gets longer, it will continue exerting some force Fa. However, specimen b will eventually acquire a cross-sectional area that will become infinite as x approaches mm, thus its strength. Eventually, the whole cross section reaches the constant yield stress, Sy. Because we now have a uniform stress distribution throughout its thickness, the bar becomes straight and remains straight upon unloading.
The radius of curvature to the neutral axis is 0. The bar is 25 mm thick and is made of an elastic, perfectly. Calculate the length to which this bar should be. In particular, it should be recognized that when the curved bar becomes straight, the engineering strain it undergoes is given by the expression t.
The distortion-energy criterion for this stress state is. Therefore, we know that the bar must be loaded in the plastic range. Following the description in Answer 2. Hence, the yield criterion is unaffected by the superposition of a hydrostatic pressure. In order to obtain the same answer for the two yield. The following Matlab code is helpful. The companion website and mobile version include links to glossaries of idioms and phrasal verbs, and the Coursepack includes exercises and handouts.
New MLA style. The MLA chapter has been updated to explain the new core principles introduced in and to provide color-coded templates and models for documenting the kinds of sources college students most often cite [MLA-a to MLA-d]. Two new genre chapters. Access it at digital. Access the site at digital.
No extra costs, no registration codes. Access the coursepack at wwnorton. Acknowledgments It takes a big team to publish even a small handbook. We owe a big thank you to all our friends at Norton, starting with Claire Wallace for her excellent editorial work on both the new chapters in the book and the editing exercises in InQuizitive for Writers. We are grateful as well to Tenyia Lee for her incredibly detailed work on all the documentation chapters.
A deep bow goes to Erica Wnek for all her work on InQuizitive, the companion website, the coursepack, and the ebook—and to Ava Bramson as well. We are once again grateful to Carin Berger and Debra Morton Hoyt for yet another charming cover design. Finally, we thank Marilyn Moller, the guiding intelligence behind all our textbooks. Tuley at Fayetteville Technical Community College.
Finally, he thanks his wife, Barb, for her unwavering and good-humored support. Fran thanks Marilyn for trading places with her so many years ago and her husband, Larry Strauss, for his confidence in her at all times. Hats off to you all. Maybe you need to find sources for a report on organic farming in your state. Or you may just want to make sure that the punctuation in your cover letter is perfect before you apply for a new job.
Color-coded organization. Guidelines for common writing assignments. Help editing common errors that matter. We all make mistakes and need to learn how to edit them out. Color-coded chapters cover each style, with directories in the back of the book that lead to the specific examples you need.
Color-coded templates show what information to include, and documentation maps show you where to find the information required. Scanning for information. You could scan the red headings to find where the topic is explained. Write I think I did pretty well, considering I started out with nothing but a bunch of blank paper. This chapter discusses each of these elements and provides some questions that can help you think about some of the choices you have to make as you write.
We write to explore our thoughts, express ourselves, and entertain; to record words and events; to communicate with others; to persuade others to think or behave in certain ways. How will they use what you tell them?
What expectations do they have from you? What motivates them? Do they have any political attitudes or interests that may affect the way they read your piece? What do you need to tell them?
Do you want them to do or believe something? Something else? What kind of information will they find interesting or persuasive? Are there any design elements that will appeal to them? Each one has certain features and follows particular conventions of style and presentation. How do they affect the type of content you should include? As you choose a topic, keep in mind your rhetorical situation and any requirements specified by your assignments.
Do you need to do research? What do you want to learn more about? What topics from your courses have you found intriguing? What local, national, or global issues do you care about? For example, you might be objective, critical, passionate, or indifferent. Do you want to be seen as reasonable? Should you openly reveal it, or would it be better to tone it down?
For example, long paragraphs may be fine on paper, but bulleted phrases work better on slides. Should it look serious? Is there anything you should highlight by putting it in a box or italics? Does your genre or medium require them? Is there any information that would be easier to understand as a chart? This chapter describes some of the elements expected in academic writing. A clear, appropriately qualified thesis. A response to what others have said.
Joanna MacKay offers several reasons that sales of human kidneys should be legalized: a surplus exists; the risk to the donor is not great; and legalization would enable the trade in kidneys to be regulated, thereby helping many patients and donors. For that third reason, her evidence includes statistics about death from renal failure.
Acknowledgment of multiple perspectives. Brandon King, for instance, looks at the American Dream from several angles: the ways it is defined, the effects of government policies on achieving it, the role of education, and so on.
Carefully documented sources. If your text will appear online, you can direct readers to online sources by using hyperlinks, but your instructor may want you to document them formally as well. An indication of why your topic matters. Careful attention to correctness. What is your purpose, apart from fulfilling those expectations? Are any required?
We follow a recipe or the directions on a box to bake a cake; we divide a piece of music into various singing parts to arrange it for a choir. So it is when we write. We rely on various processes to get from a blank page to a finished product. Jot down everything that comes to mind about your topic, working either alone or with others. Look over your list, and try to identify connections or patterns. Write as quickly as you can without stopping for 5 to 10 minutes.
Then underline interesting passages. Write more, using an underlined passage as your new topic. Write for 5 to 10 minutes, jotting down whatever you know about your subject. Then write a one-sentence summary of the most important idea. Use this summary to start another loop. Keep looping until you have a tentative focus. Clustering is a way of connecting ideas visually. Write your topic in the middle of a page, and write subtopics and other ideas around it. Circle each item, and draw lines to connect related ideas.
You might start by asking What? You could also ask questions as if the topic were a play: What happens? Who are the participants? When does the action take place? Why does this happen? Depending on your topic and purpose, you might do a little preliminary research to get basic information and help you discover paths you might follow.
Here are some steps for developing a tentative thesis statement: 1. To move from a topic to a thesis statement, start by turning your topic into a question: What causes fluctuations in gasoline prices? One way to establish a thesis is to answer your own question: Gasoline prices fluctuate for several reasons. A good way to narrow a thesis is to ask and answer questions about it: Why do gasoline prices fluctuate?
The answer will help you craft a narrow, focused thesis. Though you may sometimes want to state your thesis strongly and bluntly, often you need to acknowledge that your assertion may not be unconditionally true. You may want to use an outline to help organize your ideas before you begin to draft. You can create an informal outline by simply listing your ideas in the order in which you want to write about them. At some point, you need to write out a draft.
As you draft, you may need to get more information, rethink your thesis, or explore some new ideas. But first, you just need to get started. Try to write a complete draft, or a complete section of a longer draft, in one sitting. Parts of your first draft may not achieve your goals. You can check words, dates, and spelling at a later stage. For now, just write. We also need to get feedback from other readers.
If so, how does it do so? If not, how else might the piece begin? Is it stated directly? If not, should it be? Are they accurately quoted, and have any changes and omissions been indicated with brackets and ellipses? Does each part relate to the thesis? If so, are they clearly labeled with captions? If you did not create them yourself, have you cited your sources? Where might they need more information or guidance? What does it leave readers thinking? How else might the text end?
Does it announce your topic and give some sense of what you have to say? Start with global whole-text issues, and gradually move to smaller, sentence-level details. Set deadlines that will give you plenty of time to work on your revision. Try to get some distance.
If you can, step away from your writing for a while and think about something else. Does each paragraph contribute to your main point? Does your beginning introduce your topic and provide any necessary contextual information? Does your ending provide a satisfying conclusion? Make sure that all your key ideas are fully explained. If you add evidence, make sure that it all supports your point and includes any needed documentation.
You may find it helpful to outline your draft to see all the parts readily. Look closely at your title to be sure it gives a sense of what your text is about. The following guidelines can help you check the paragraphs, sentences, and words in your drafts. Does every sentence in the paragraph relate to that point? Does each one follow smoothly from the one before it? Do you need to add transitions?
How else might you begin? How else might you conclude? Sometimes these words help introduce a topic, but often they make a text vague. For example, do you need to replace verbs like be or do with more specific verbs? Your writing will almost always be better without such predictable expressions. Proofreading This is the final stage of the writing process, the point when you check for misspelled words, mixed-up fonts, missing pages, and so on.
Use your finger or a pencil as a pointer. Ask someone else to read your text. Here are some guidelines for collaborating successfully. This is especially important when collaborating online. Without tone of voice, facial expressions, and other body language, your words carry all the weight. Remember also that what you write may be forwarded to others. Group members may not all have access to the same equipment and software.
Name files carefully. Appoint one person as timekeeper and another person as group leader; a third member should keep a record of the discussion and write a summary afterward. Here one writer recalls when he first understood what a paragraph does. The words themselves were mostly foreign, but I still remember the exact moment when I first understood, with a sudden clarity, the purpose of a paragraph.
The words inside a paragraph worked together for a common purpose. They had some specific reason for being inside the same fence. It offers tips and examples for composing strong paragraphs. There is, of course, nothing naturally abhorrent in the human impulse to dwell in marketplaces or the urge to buy, sell, and trade. Rural Americans traditionally looked forward to the excitement and sensuality of market day; Native Americans traveled long distances to barter and trade at sprawling, festive encampments.
In Persian bazaars and in the ancient Greek agoras the very soul of the community was preserved and could be seen, felt, heard, and smelled as it might be nowhere else. Often, but not always, you might start a paragraph with a topic sentence, as in this example from an essay about legalizing the sale of human kidneys.
Dialysis is harsh, expensive, and, worst of all, only temporary. Acting as an artificial kidney, dialysis mechanically filters the blood of a patient.
It works, but not well. With treatment sessions lasting three hours, several times a week, those dependent on dialysis are, in a sense, shackled to a machine for the rest of their lives.
Adding excessive stress to the body, dialysis causes patients to feel increasingly faint and tired, usually keeping them from work and other normal activities. See how this strategy works in another paragraph in the essay about kidneys. In a legal kidney transplant, everybody gains except the donor. The doctors and nurses are paid for the operation, the patient receives a new kidney, but the donor receives nothing. Sure, the donor will have the warm, uplifting feeling associated with helping a fellow human being, but this is not enough reward for most people to part with a piece of themselves.
In an ideal world, the average person would be altruistic enough to donate a kidney with nothing expected in return. The real world, however, is run by money. We pay men for donating sperm, and we pay women for donating ova, yet we expect others to give away an entire organ with no compensation. If the sale of organs were allowed, people would have a greater incentive to help save the life of a stranger. I came to the United States in at age 3 with my family and immediately stopped speaking Spanish.
Whether or not you announce the main point in a topic sentence, be sure that every sentence in a paragraph relates to that point. Edit out any sentences that stray off topic, such as those crossed out below. Previous generations of immigrants were encouraged to speak only English. When someone poses a question to her in Spanish, she often has to respond in English.
In other instances, she tries to speak Spanish but falters over the past and future tenses. Situations like these embarrass Barrientos and make her feel left out of a community she wants to be part of. Native Guatemalans who are bilingual do not have such problems. Analyzing cause and effect. The following paragraph about air turbulence identifies some of its causes.
A variety of factors can cause turbulence, which is essentially a disturbance in the movement of air. See how two social scientists use classification to explain the ways that various types of social network websites SNSs make user profiles visible. The visibility of a profile varies by site and according to user discretion.
By default, profiles on Friendster and Tribe. Alternatively, LinkedIn controls what a viewer might see based on whether she or he has a paid account. Structural variations around visibility and access are one of the primary ways that SNSs differentiate themselves from each other. See how the following paragraph divides the concept of pressure into four kinds. I see four kinds of pressure working on college students today: economic pressure, parental pressure, peer pressure, and selfinduced pressure.
But there are no villains; only victims. One is to shift back and forth between each item point by point, as in this paragraph contrasting the attention given to a football team and to academic teams.
The football players enjoyed the attentions of an enthralled school, complete with banners, assemblies, and even video announcements in their honor, a virtual barrage of praise and downright deification. As for the three champion academic teams, they received a combined total of around ten minutes of recognition, tacked onto the beginning of a sports assembly.
After all, why should they? See how this approach works in the following example, which contrasts photographs of Bill Clinton and Hillary Clinton on the opening day of the baseball season. The next day photos of the Clintons in action appeared in newspapers around the country. The one of Bill Clinton showed him wearing an Indians cap and warm-up jacket. The President, throwing lefty, had turned his shoulders sideways to the plate in preparation for delivery.
He was bringing the ball forward from behind his head in a clean-looking throwing action as the photo was snapped. In preparation for her throw she was standing directly facing the plate. A right-hander, she had the elbow of her throwing arm pointed out in front of her. Her forearm was tilted back, toward her shoulder. The ball rested on her upturned palm. As the picture was taken, she was in the middle of an action that can only be described as throwing like a girl.
See how one writer uses analogy to explain the way DNA encodes genetic information. Although the complexity of cells, tissues, and whole organisms is breathtaking, the way in which the basic DNA instructions are written is astonishingly simple. Like more familiar instruction systems such as language, numbers, or computer binary code, what matters is not so much the symbols themselves but the order in which they appear.
In exactly the same way the order of the four chemical symbols in DNA embodies the message. The following paragraph provides brief definitions of three tropical fruits.
I walked onto a patio speckled with dark stains, as if the heavens had been spitting down on it. I looked up; there were the two trees responsible. One was a lollipop mango tree. The other was a nispero tree. Beyond the patio, I saw a mammee tree, which bears large, football-shaped fruit. Here a paragraph weaves together details of background, appearance, and speech to create a vivid impression of Chuck Yeager, the first pilot to break the sound barrier.
His father was a gas driller drilling for natural gas in the coalfields , his older brother was a gas driller, and he would have been a gas driller had he not enlisted in the Army Air Force in at the age of eighteen. In , at twenty, he became a flight officer, i.
Even in the tumult of the war Yeager was somewhat puzzling to a lot of other pilots. What was puzzling was the way Yeager talked. He seemed to talk with some older forms of English elocution, syntax, and conjugation that had been preserved uphollow in the Appalachians.
Cookbooks explain many processes step-by-step, as in this explanation of how to pit a mango. The simplest method for pitting a mango is to hold it horizontally, then cut it in two lengthwise, slightly off-center, so the knife just misses the pit. Repeat the cut on the other side so a thin layer of flesh remains around the flat pit.
Holding a half, flesh-side up, in the palm of your hand, slash the flesh into a lattice, cutting down to, but not through, the peel. Carefully push the center of the peel upward with your thumbs to turn it inside out, opening the cuts of the flesh. Then cut the mango cubes from the peel. One such incident that has stayed with me, though I recognize it as a minor offense, happened on the day of my first public poetry reading. It took place in Miami in a boat-restaurant where we were having lunch before the event.
I was nervous and excited as I walked in with my notebook in my hand. An older woman motioned me to her table. Thinking foolish me that she wanted me to autograph a copy of my brand-new slender volume of verse, I went over. She ordered a cup of coffee from me, assuming that I was the waitress. Easy enough to mistake my poems for menus, I suppose.
We shook hands at the end of the reading, and I never saw her again. She has probably forgotten the whole thing but maybe not. Illustrating a point with one or more examples is a common way to develop a paragraph, like the following one, which uses lyrics as examples to make a point about the similarities between two types of music. On a happier note, both rap and [country-and-western] feature strong female voices as well.
Repetition, parallelism, and transitions are three strategies for making paragraphs flow. One way to help readers follow your train of thought is to repeat key words and phrases, as well as pronouns referring to those key words. Not that long ago, blogs were one of those annoying buzz words that you could safely get away with ignoring. Unlike a big media outlet, bloggers focus their efforts on narrow topics, often rising to become de facto watchdogs and self-proclaimed experts.
Blogs can be about anything: politics, sex, baseball, haiku, car repair. There are blogs about blogs. Predictably, the love of cinema has waned. And wonderful films are still being made. The disease was bubonic plague, present in two forms: one that infected the bloodstream, causing the buboes and internal bleeding and was spread by contact; and a second, more virulent pneumonic type that infected the lungs and was spread by respiratory infection.
The presence of both at once caused the high mortality and speed of contagion. Yolanda, the third of the four girls, became a schoolteacher but not on purpose. For years after graduate school, she wrote down poet under profession in questionnaires and income tax forms, and later amended it to writer-slash-teacher. Today the used-book market is exceedingly well organized and efficient. Campus bookstores buy back not only the books that will be used at their university the next semester but also those that will not.
Those that are no longer on their lists of required books they resell to national wholesalers, which in turn sell them to college bookstores on campuses where they will be required. This means that even if a text is being adopted for the first time at a particular college, there is almost certain to be an ample supply of used copies. But while a brief, one- or two-sentence paragraph can be used to set off an idea you want to emphasize, too many short paragraphs can make your writing choppy.
Opening paragraphs. In the following opening paragraph, the writer begins with a generalization about academic architecture, then ends with a specific thesis stating what the rest of the essay will argue.
Academic architecture invariably projects an identity about campus and community to building users and to the world beyond. Yet in other cases, the architectural language established in surrounding precedents may be more appropriate, even for high-tech facilities.
The bottom line is that drastically reducing both crime rates and the number of people behind bars is technically feasible. Whether it is politically and organizationally feasible to achieve this remains an open question. Sometimes you can rely on established design conventions: in academic writing, there are specific guidelines for headings, margins, and line spacing. No matter what your text includes, its design will influence how your audience responds to it and therefore how well it achieves your purpose.
To keep readers oriented as they browse multipage documents or websites, use design elements consistently.
In a print academic essay, choose a single font for your main text and use boldface or italics for headings. In writing for the web, place navigation buttons and other major elements in the same place on every page. Keep it simple. Resist the temptation to fill pages with unnecessary graphics or animations. Aim for balance. Create balance through the use of margins, images, headings, and spacing. Use color and contrast carefully. Academic readers usually expect black text on a white background, with perhaps one other color for headings.
Make sure your audience will be able to distinguish any color variations in your text well enough to grasp your meaning. Use available templates. To save time and simplify design decisions, take advantage of templates. In Microsoft Word, for example, you can customize font, spacing, indents, and other features that will automatically be applied to your document. Websites that host personal webpages and presentation software also offer templates that you can use or modify.
The following guidelines will help you make those decisions. The fonts you choose will affect how well readers can read your text. Decorative fonts such as should be used sparingly. If you use more than one font, use each one consistently: one for headings, one for captions, one for the main body of your text. Every common font has regular, bold, and italic forms. Layout is the way text is arranged on a page. An academic essay, for example, will usually have a title centered at the top and one-inch margins all around.
Items such as lists, tables, headings, and images should be arranged consistently. Line spacing. In general, indent paragraphs five spaces when your text is double-spaced; either indent or skip a line between paragraphs that are single-spaced.
When preparing a text intended for online use, single-space your document, skip a line between paragraphs, and begin each paragraph flush left no indent. Use a list format for information that you want to set off and make easily accessible. Number the items when the sequence matters in instructions, for example ; use bullets when the order is not important. Set off lists with an extra line of space above and below, and add extra space between the items on a list if necessary for legibility.
White space and margins. To make your text attractive and readable, use white space to separate its various parts. In general, use one-inch margins for the text of an essay or report. Headings make the structure of a text easier to follow and help readers find specific information. Whenever you include headings, you need to decide how to phrase them, what fonts to use, and where to position them.
Phrase headings consistently. Make your headings succinct and parallel in structure. Whatever form you decide on, use it consistently. Make headings visible. Position headings appropriately. If you are not following a prescribed format, you get to decide where to position the headings: centered, flush with the left margin, or even alongside the text, in a wide lefthand margin.
Position each level of head consistently. In print documents, you can often use photos, charts, graphs, and diagrams. Online or in spoken presentations, your options expand to include video and printed handouts. A discussion of Google Glass might be clearer when accompanied by this photo. Tables are useful for displaying numerical information concisely, especially when several items are being compared. Presenting information in columns and rows permits readers to find data and identify relationships among the items.
Pie charts can be used to show how a whole is divided into parts or how parts of a whole relate to one another. Percentages in a pie chart should always add up to Plotting the lines together enables readers to compare the data at different points in time. Be sure to label the x and y axes and limit the number of lines to four at the most. Some software offers 3-D and other special effects, but simple graphs are often easier to read.
Diagrams and flowcharts are ways of showing relationships and processes. This diagram shows how carbon moves between the Earth and its atmosphere. Flowcharts can be made by using widely available templates; diagrams, on the other hand, can range from simple drawings to works of art. Avoid clip art. Position images as close as possible to the relevant discussion.
Italian Economic Growth Rate, — If you use data to create a graph or chart, include source information directly below. Large files may be hard to upload without altering quality and can clog email inboxes.
Linking also allows readers to see the original context. To include your own video, upload it to YouTube; choose the Private setting to limit access. Be sure to represent the original content accurately, and provide relevant information about the source. Whatever the occasion, you need to make your points clear and memorable.
This chapter offers guidelines to help you prepare and deliver effective presentations. Spoken texts need a clear organization so that your audience can follow you.
The beginning needs to engage their interest, make clear what you will talk about, and perhaps forecast the central points of your talk.
The ending should leave your audience something to remember, think about, or do. In the Gettysburg Address, Abraham Lincoln follows a chronological structure. A tone to suit the occasion. In a presentation to a panel of professors, you probably would want to avoid too much slang and speak in complete sentences.
Slides and other media. Organize and draft your presentation. If in drafting you find you have too many points for the time available, leave out the less important ones. Thank your listeners, and offer to take questions and comments if the format allows.
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