265+ Forceful Verbs to Turn You Into a Literary Tyrannosaurus

265+ Forceful Verbs to Turn You Into a Literary Tyrannosaurus 265+ Forceful Verbs to Turn You Into a Literary Tyrannosaurus Writing is a storytelling medium. Every sentence is an opportunity to tell a part of that story, elaborating on the plot, characters, atmosphere - whatever. This also means that every time the author writes a sentence like, â€Å"Harry opened the door,† they are missing out on a key opportunity to tell us more. What if Harry â€Å"jimmied the door,† or â€Å"threw the door open†?   By using forceful verbs, we get a better sense of what’s happening without many extra words.Why should you use forceful verbs?A lot of the time, it simply comes down to using evocative verbs: doing words that not only tell us what is happening but how it is being done as well. But wait! you say, isn’t that what adverbs are for?Adverbs: who needs them?Adverbs, by definition, are modifiers that writers can use to describe an action:He walked slowlyShe ate voraciouslyThey sleep lightlyThe thing is, more often than not, you can pick a forceful verb that makes the adverb re dundant:He saunteredShe gobbledThey dozedApart from simply being economical with words and avoiding purple prose, however, there are plenty of sound reasons to choose stronger verbs. So, it had come to this: paying his bills by crying for a stock photo. (Photo by  Tom Pumford)â€Å"Show, don’t tell† was made for writing about emotion. If ever you feel the urge to write, â€Å"He was very sad,† then please power down your computer and take a nap. Nobody needs to read that. Instead of telling us how a character feels, show them doing something that reveals this emotion. Why not start by checking out these evocative verbs:BeamBroodCovetCraveFazeFretFrownGlowerHowlScowlSobStareSwoonWailYowlShining verbsâ€Å"Don’t tell me the moon is shining,† Chekhov once wrote. â€Å"Show me the glint of the light on broken glass.† As a tip of the great Russian dramatist and short story maestro, we’ll finish up with some more alternatives for shining.FlickerGleamGlistenGlitterGlowShimmerSizzleSparkleTwinkleWell-chosen, powerful verbs are the secret weapons in a wordsmith’s holster. Always remember that using a bog-standard, overused verb is a missed opportunity. Make every word count, and give your readers something they can get lost in.Have we missed out on your favorite forceful verb? Let us know in the comments below!

How Insects Provide Evidence That a Murder Victim Was Moved

How Insects Provide Evidence That a Murder Victim Was Moved In some suspicious death investigations, arthropod evidence may prove that the body was moved at some point after death. Crime scene insects can tell whether the body decomposed at the location where it was found, and even reveal gaps in the crime time line. When Insects at the Crime Scene Dont Belong There The entomologist first identifies all the collected arthropod evidence, cataloging the species present on or near the body. Not every insect belongs in every habitat. Some live in quite specific niches – on limited vegetation types, at certain elevations, or in particular climates. What if the body yields an insect that is not known to live in the area where it was found? Wouldnt that suggest the body had been moved? In his book A Fly for the Prosecution, forensic entomologist M. Lee Goff tells of one such case. He collected evidence from a womans body found in an Oahu sugar cane field. He noted that some of the maggots present were a species of fly found in urban areas, not in agricultural fields. He hypothesized that the body had remained in an urban location long enough for the flies to find it, and that it was later moved to the field. Sure enough, when the murder was solved, his theory proved correct. The killers kept the victims body in an apartment for several days while trying to decide what to do with it. When Insects at the Crime Scene Dont Fit the Timeline Sometimes insect evidence reveals a gap in the time line, and leads investigators to the conclusion that the body was moved. The primary focus of forensic entomology is the establishment of the postmortem interval, using insect life cycles. A good forensic entomologist will give detectives an estimate, to the day or even the hour, of when the body was first colonized by insects. Investigators compare this estimate with witness accounts of when the victim was last seen alive. Where was the victim between when he was last seen and when insects first invaded his corpse? Was he alive, or was the body hidden somewhere? Again, Dr. Goffs book provides a good example of a case where insect evidence established such a time gap. A body found on April 18th yielded only first instar maggots, some still emerging from their eggs. Based on his knowledge of this insects life cycle in the environmental conditions present at the crime scene, Dr. Goff concluded that the body had only been exposed to insects since the previous day, the 17th. According to witnesses, the victim was last seen alive two days prior, on the 15th. It seemed that the body must have been somewhere else, protected from exposure to any insects, in the interim. In the end, the murderer was caught and revealed he had killed the victim on the 15th, but kept the body in the trunk of a car until dumping it on the 17th. How Insects in the Soil Help Solve a Murder A dead body lying on the ground will release all its fluids into the soil below. As a result of this seepage, the soil chemistry changes substantially. Native soil organisms leave the area as the pH rises. A whole new community of arthropods inhabit this gruesome niche. A forensic entomologist will sample the soil below and near where the body was lying. The organisms found in the soil samples can determine whether the body decomposed at the location where it was found, or prior to being dumped there.

Assessment Task2 an individual report on international marketing Research Paper

Assessment Task2 an individual report on international marketing environment assessment - Research Paper Example Facilitating international business and marketing has been the underlying strategy of Australia that is directed towards strengthening the country’s economy and the country has been able to achieve that this far. The study of these factors has also enabled the researcher to determine the major challenges for international marketers as well as major prospects for international marketers in the country. The study concludes that although the Australian marketing environment is associated with certain drawbacks, the benefits and opportunities that it provides to the global marketers outweighs all drawbacks and constraints and makes marketing in Australia a prospective decision. Table of Contents 1. Introduction 4 2.International marketing environment in Australia 5 2.1.Political forces 5 2.2.Economic forces 6 2.3.Financial forces 7 2.4.Social forces 8 2.5.Cultural forces 8 2.6.Technological forces 9 2.7. Legal forces 9 3. Current challenges for international marketers 10 4. Opport unities for international marketers 10 5. Conclusion 11 Reference List 12 1. ... International marketing is the process of marketing on a global scale by integrating or taking commercial advantage of operational differences that can be identified globally as well as the similarities and opportunities present all over the world in order to fulfil objectives as far as expanding internationally is concerned (Baack, Harris and Baack, 2013). The authors have explained that international marketing involves the activity of franchising, exporting and merging or a complete direct entry of a marketing organization into a foreign country. Following this, a company needs to develop a marketing mix specific to the country of expansion as a part of its international marketing strategy (Buckley, 2002). It can be as straightforward as implementing an existing marketing strategy, product mix and tools for export and alongside that, the company can formulate highly complex relationship strategy that includes localization, pricing, regional product offerings, production and distrib ution. Globalization and international marketing caters to meet the needs and requirements of the targeted foreign country whereby a company can export its value, thereby achieving optimization and efficiency in economies of scale and scope as well as facilitating inter-firm and firm learning (Felzensztein et al., 2013). The abovementioned theories explain the importance of international marketing as far as a company’s growth and success strategy is concerned. For a company planning to expand internationally, a detailed judgement of the market prospects along with a thorough evaluation of the PESTEL environment of the target country is pivotal. This is primarily

Development in Oil and Gas Retail industries Essay

Development in Oil and Gas Retail industries - Essay Example The standard for spot prices for crude oil is considered as Brent crude oil. The prices of crude oil in the Brent crude oil index have been varying from $100 to $115 since 2012. In this period the supply of the liquid fuel has increased in the countries of North America especially the USA and Canada. However there has been an equivalent drop in the production and sell of crude oil from countries of the North Africa and some countries in the Middle East. While increase in supply from USA and Canada have brought into the market an additional 4 million barrels per day of crude oil since 2008, supply disruption and outages in North Africa and Middle East have largely offset this effect and prevented the prices from falling down. It is estimated that unplanned oil production outages have caused an average of 2.7 million barrels per day over the past two years and another fact is that the outages have increased from 1.8 million barrels per day in 2012 to about 3.5 million barrels per day i n May 2014. The main outages have been caused by OPEC countries such as Libya and Iran and non-OPEC countries such as South Sudan and Syria. The most problematic factor and the riskiness of the matter is that it is very difficult to predict when the supplies will return to normal levels given the geopolitical tabulations that are going on in these countries. The demand for oil has remained on the lower side in the recent years and this has contributed to the oil prices remaining stable for a large part of the recent years. The demand growth from countries outside the OECD has slowed down due to the fact that economic growth in the countries such as China, India, and Brazil has decreased in the recent years. The slower growth in the economies of these countries has correspondingly seen a decrease in the demand of the liquid in comparison to the past two decades. The consumption of liquid had reached a peak of 50

Linguistic Anthropology Essay Example for Free

Linguistic Anthropology Essay Ever since I was seven years old, I’ve wanted to be a writer; more specifically, a poet. I think for my chosen profession, linguistic anthropology would benefit me better than any other field of anthropology. According to the Department of Anthropology of California State University, â€Å"Linguistic anthropologists are interested in how many languages there are, how those languages are distributed across the world, and their contemporary and historical relationships. We are also interested in language variation, why variations exist, how the variations are used (i. e. , do you say ‘tomAto’ or ‘tomahto’?! ), and what they mean when they are used in various contexts. † (University, C. S, 2013). In order to be a truly great writer, I believe that one must travel the world and see different locations in order to see how people communicate differently from myself. Meaning, how people form their verbs, etc. on a daily basis. The more I know about a culture and a language, the easier it will be for me to come up with a setting and/or to develop a character’s personality based on a type of dialect. (i. e.  whether I would want a character to speak in slang or very proper) A good example of this is my interest and love for the French language. I took three years of it in high school. Laura K. Lawless explains the differences between French and English languages. â€Å"French and English are related languages in a sense, because French is a Latin language with German and English influence, while English is a Germanic language with Latin and French influence. Thus there are some similarities between them, most notably the same alphabet and a number of true cognates. † (Lawless, 2013). Here are some examples of how the two languages differ: When it comes to stressed and unstressed syllables, the French stress at end of each rhythmic group, while the English tend to stress syllables in each word, plus stress on important word. The French language also uses certain verbs that require prepositions, while the English language uses many verbs without prepositions. (Lawless, 2013). A cultural lens would be helpful in my chosen profession because, as writer Layng Wong so eloquently puts it: â€Å"As writers we can weigh in on the  discussion. Walking in someone else’s shoes and seeing the world through their eyes cultivates humanity. Historical and cultural details add emotional intensity and further deepen your characters. Awareness builds understanding. † (Wong,2013). I agree with Wong whole-heartedly on this point in order to get a true feeling of what subject one’s writing about, the author, even a poet must study and immerse themselves into a culture in every way possible. Bibliography Lawless, L. K. (2013). Differences between french and english . Retrieved from http://french. about. com/od/lessons/a/differences. htm University, C. S. (2013. ). Linguistic anthropology. Retrieved from http://www. csulb. edu/colleges/cla/departments/anthropology/linguistic-anthropology/ Wong, L. (2013, March 16). Looking through the cultural lens. Retrieved from http://laynewong. com/looking-through-the-cultural-lens/

Confucius :: essays research papers

Confucius   Ã‚  Ã‚  Ã‚  Ã‚  If our government was run for the people, and not for the enrichment of its rulers, the US would be a more tightly unified nation. Confucius stressed that a government be run for the well-being of the people, and if that was applied today, results would be outstanding. Confucius also said to put aside military conquests and to work for the good of the country. Applied today, that would really help our USA.   Ã‚  Ã‚  Ã‚  Ã‚  Confucius taught that government should be run for the well-being of the people. For that to happen, more power has to be given to state governments, in order to really suit the needs of the countries people. The government could narrow down on the struggles of each part of the country. I think they would find a good number of the struggles to be similar. Therefore, stated would work together in order to solve universal problems. For example, you could eliminate a problem in Olympia, Washington and Miami, Florida at the same time. Because of their similar problems.   Ã‚  Ã‚  Ã‚  Ã‚  Another teaching of Confucius is to put aside military conquests and focus on the good of the country. The US definitely needs to do this. Every day on television we see poor, famined children persuading us to support their struggle. Them commercials should be outlawed. The commercials should be on the poor famined kids in the United States. We have our own poverty problem in our country. We should take care of that before we solve another countries problem. The U.S. has also money and military force in the middle east. Sure we get some valuable products from them, but we should solve our own problems before we decide to dive into the rebuilding of some foreign nation.

Article “Cradle-to-cradle: the next packaging paradigm?” Essay

In his article â€Å"Cradle-to-cradle: the next packaging paradigm? † David Newcorn suggests three entirely new strategies for packaging items—strategies which may at first instigate eyebrows to rise. On closer look, however, Newcorn’s suggestions may indeed live up to one of its goals: to arrive at a packaging strategy conducive for the environment. Newcorn has three objectives in mind in order to achieve such an end: use more packaging materials, not less; design the best package possible instead of designing with the cheapest materials without worrying about per-package cost, and; ‘littering’ can help the environment. But how are these supposedly ‘environmental threats’ do the exact opposite of further degrading the environment and contribute to the crusade for the strengthening of the environment through strategic and environmentally friendly packaging schemes? In order to arrive at a better understanding of Newcorn’s suggestions, it is equally important to note that what separates Newcorn’s suggestions from the rest is that the suggestions actually target the possibilities of the future. By offering three distinct strategies which may at first seem threatening to the environment, Newcorn turns the table around by citing examples of ‘what if’s’, possible situations which have a high probability of being real sometime in the future. For the moment, however, the efficiency of Newcorn’s suggestions seems to hang in the balance for a few good reasons. First, Newcorn suggests that by using more packaging materials instead of less, we can actually save the environment from being harmed because sometime in the future there will be ice cream wrappers which turn into a ‘biosafe liquid’ or foam food containers which contain essential nutrients which revitalize the earth’s topsoil, for instance. While the prospects for his suggestion are noble, it can hardly be denied that the possibilities remain to be seen. Newcorn even admits that the possibilities are yet to be obtained. If the possible elements in the illustrations he has elaborated in his article remain to be seen, then there is little reason to believe that manufacturers of these products should immediately adopt the strategies he offers. The same goes for the designers who have the same inclinations as Newcorn. In current times, using more packaging materials or ‘littering’ the environment with these materials is only effective in theory. At the least, designers can hardly deny the fact that the current environmental measures being taken all around the world are in startling contrast to Newcorn’s suggestion precisely because the environmental problems which beset the modern societies are the result of piles and piles of garbage produced on a daily basis. What Newcorn’s suggestions give the designers, however, are insights into the future. Although the situations he has given in his article are possibilities, they nevertheless give designers a glimpse of what the future may look like. Given these brief future sketches of packaging strategies, designers cannot simply dismiss the thought that Newcorn’s suggestions are worth the efforts of being studied. Both scholars and designers concerned in the packaging sector may very well agree that there is more than what meets the eye in Newcorn’s assumptions. Technical and biological nutrients may indeed soon take over the packaging materials used in products. Science and technology are constantly evolving and are relentlessly seeking new methods and designs to improve the materials we use daily in the larger effort to preserve the environment. Recycling packages which may soon be eco-effective without the downside of degrading the quality of the packages for commodities is another thought worth pondering (Bendor, Terry and Kenneth, p. 175). Newcorn, however, may be correct in insisting that a large amount of history involving packaging materials should have to be beaten first before anything else of the efforts to resort to recycling and using eco-effective packaging materials can be fully achieved. Much of what companies do in order to sustain their operations is to use whatever is cheaper and more efficient in the market. The fact that bottling companies for soft drinks have relied â€Å"less and less on bottles and more and more on cheap and recyclable aluminum cans as containers (Banks, p. 72)† suggest that money-making ventures may find it difficult to fully adjust and align their packaging strategies according to what Newcorn’s assumptions for the future. Any designer involved in the packaging sector will think that the problems which beset the environment also have consequences on their part and to the rest of the world. Newcorn’s efforts serve as a model not only for the big companies under the packaging sector but also for the average citizen. However, Newcorn’s suggestions face the direct criticism of failing to obtain in the contemporary time which is in deep need of innovations in packaging strategies. It may be high time for designers in the packaging industry to settle down and think of other innovative ideas which will provide ways to counter and prevent environmental problems brought by wastes from packages which are also attainable in the soonest possible time. The future of the environment is indeed filled both with good prospects that are hanging and with contemporary as well as previous problems in terms of garbage from packaging materials which pose problems which cannot be easily set aside for the benefit of acquiring more profit. It is logical enough to presume that the future does not promise anything clear. Yet it would also be absurd to assume that nothing can be done to anticipate and, hopefully, resolve the current environmental problems and the future environmental hazards both at the same time. Newcorn’s suggestions may still lack its applicability in contemporary times. However, the effects and prospects of Newcorn’s suggestions are promising and may prove to be more than useful in the coming years. WORKS CITED Banks, Seymour. â€Å"The Measurement of the Effect of a New Packaging Material Upon Preference and Sales. † The Journal of Business of the University of Chicago 23. 2 (Apr. , 1990): 71-80. Bendor, Jonathan, Terry M. Moe, and Kenneth W. Shotts. â€Å"Recycling the Garbage Can: An Assessment of the Research Program. † The American Political Science Review 95. 1 (2001): 169-90. Newcorn, David. â€Å"Cradle-to-Cradle: The Next Packaging Paradigm? † 2003. Packaging World Magazine. January 13 2008. .

Number theory

The number theory concerns about numbers i.e. whole numbers or rational numbers (fractions). Number theory is one of the oldest branches of pure mathematics and one of the largest. It is a branch of pure mathematics concerning with the properties and integers. Arithmetic is also used to refer number theory. It is also called higher arithmetic. The earliest geometric use of Diophantine equations can be tracked back to the Sulba Sutras, which were written, between 8th and 6th centuries BC. There are various number theories described as follows: Elementary Number theory Analytic Number theory Algebraic Number theory Geometric number theory Combinational number theory Computational number theory FUNCTIONS Number theory is connected with higher arithmetic hence it is the study of properties of whole numbers. Primes and prime factorization are important in number theory. The functions in number theory are divisor function, Riemann Zeta function and totient function. The functions are linked with Natural numbers, whole numbers, integers and rational numbers. The functions are also linked with irrational numbers. The study of irrational numbers may be done with Surd, Extraction of Square roots of natural numbers, Logarithms and Mensuration. At present Number Theory functions have 848 formulas, which are related with Prime Factorization Related functions and Other Functions. Prime Factorization Related Functions Factor Integer [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   70 Formulas Division [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   66 Formulas Prime [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   83 Formulas PrimePi [x]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   83 Formulas Divisor Sigma [k,n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   128 Formulas Euler Phi [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   109 Formulas Moebius Mu [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   79 Formulas Jacobi Symbol [n,m]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   101 Formulas Carmichasel Lambda [n]  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   63 Formulas Digit Count [n, b]   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   66 Formulas Computational number theory It is a study of effectiveness of algorithms for computation of number-theoretic quantities. It is also considers integer quantities (for example class number) whose usual definition is non constructive, and real quantities (eg. The values of zeta functions) which must be computed with very high precision. Hence in this function overlaps both computer algebra and numerical analysis. Combinational Number Theory It involves the number-theoretic study of objects, which arise naturally from counting or iteration. It is also study of many specific families of numbers like binomial coefficients, the Fibonacci numbers, Bernoulli numbers, factorials, perfect squares, partition numbers etc. which can be obtained by simple recurrence relations. The method is very easy to state conjectures in this area, which can often be understood without any particular mathematical training. Integer factorization Given two large prime numbers, p and q, their product pq can easily be computed. However, given pq, the best known algorithms to recover p and q require time greater than any polynomial in the length of p and q. Discrete logarithm Let G be a group in which computations are reasonably efficient. Then given g and n, computing gn is not too expensive. However, for some groups G, computing n given g and gn, called the discrete logarithm, is difficult. The commonly used groups are Discrete logarithms modulo p Elliptic curve discrete logarithms REFERENCE: http://functions.wolfram.com/NumberTheoryFunctions/ Weil, Andre: â€Å"Number theory, An approach through history†, Birkhauser Boston, Inc. Mass., 1984 ISBN-0-8176031410 Ore, Oystein, â€Å"Number theory and its history, Dover Publications, Inc., New York, 1988. 370 pp. ISBN 0-486-65620-9.

Joan of Arc by Jules Bastien Le Page essays

Joan of Arc by Jules Bastien Le Page essays Joan of Arc, was painted by the French realist artist Jules Bastien-Lepage in 1879. After the province of Lorraine was lost to Germany following the Franco-Prussian War in 1821, The Frenchmen saw in Joan of Arc a new and powerful symbol. In 1875, Bastien-Lepage, a native of Lorraine began to make studies for a picture of her. In the present painting, exhibited in the Salon of 1880, Joan is shown receiving her revelation in her parents garden. Behind her are Saints Michael, Margaret, and Catherine. (Caption next to painting in The Metropolitan) Jules Bastien-Lepage creates a realistic atmosphere, including a supernatural, religious-like presence within his painting. Oil on canvas was used to create the realistic quality of the work. By closely examining the artists technique, it is clear that he uses delicate brush strokes in a true to life manner. The colors, and use of light seem to be painted in a layered fashion to give the landscape a sense of depth. The background of the painting is a garden which include foliage and brush that surrounds the primary focus of the painting, Joan of Arc. The artist put a great effort into the details of the scene. Bastien-Lepage uses a distinct realistic quality in his painting which is visible in each individual leaf and branch. Various hues of earth tones, green and brown being the most evident, are blended together in the garden scene. In the foreground of the painting is Joan of Arc. She is painted with a seemingly thicker paint technique. This makes her a more easily visible aspect in the painting, and catches the onlookers eye. Joan is dressed in a long brown skirt and blue-gray shirt with white underneath which is the typical clothing style of the 19th century. The clothing is painted to show its wear and tear. Her features and her figure are quite realistic. She seems to have a calm, but troubled expression on her face, as though she i...

[WATCH] How to encourage your employees to speak up in meetings

[WATCH] How to encourage your employees to speak up in meetings Attention HR – Introverted or technically focused team members can often struggle when it comes time to publicly contribute to the work conversation.   But we all know we’re better when all our voices are heard. Developing the confidence to actively and intelligently participate in meetings takes some serious courage (and planning). This week’s Bossy Skirt outlines a clear and simple three-part approach that you may find helpful when working with your quieter colleagues.   After all, everyone deserves a chance at the mic.Source:[DailyFuel]

Dream Job Essay Example | Topics and Well Written Essays - 500 words

Dream Job - Essay Example In fact, from my early childhood, I have cherished assisting my peers learn new or difficult things. I always seek to lead group discussions as this gives me an opportunity to exercise my love for teaching. Thus, this job would provide me with the opportunity to practice what I enjoy. My choice of university as a place to exercise my love for teaching follows my belief that institutions of higher learning provide greater challenge to the teacher than pre-university institutions. It would be useful to appreciate that the undergraduate and postgraduate students could have greater knowledge of what is being taught than the instructor. As such, I would constantly be seeking for knowledge, thus keeping me active in the academic field. Universities stand out as institutions of higher learning where there is access to resources required to gain further knowledge, thus an advantage I would utilize to increase my knowledge. Furthermore, the diversity in the university population bringing toge ther nearly every aspect of the international outlook would provide me with the opportunity for beneficial networking. It would also be useful to appreciate that the career is well paying, the Government of Canada citing 90.1% practitioners in the field earning an annual income of greater than $50,000. Therefore, there are many push and pull factors that inform my choice of university instructor as my dream job. Even so, to achieve my dream would require a lot of hard work in my academics. As noted by the Government of Canada, a doctorate in a field of instruction would be the minimum requirement for any university to admit me as an instructor despite the huge variation in the requirements from different universities. However, it gives relief to note that holders of Master’s degree could also be considered as long as they are pursuing their doctorate studies or holders of Bachelor’s degrees with extensive experience in the area of instruction. This means