Unique factorization

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  • The prerequisites for this book are the “standard” first-semester course in number theory (with incidental elementary algebra) and elementary calculus. There is no lack of suitable texts for these prerequisites (for example, An Introduction to the Theory of Numbers, by 1. Niven and H. S. Zuckerman, John Wiley and Sons, 1960, cari be cited ...

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  • More recently, Cox and Fisher (2009) analyzed the titles of contemporary romance novels to determine if their popularity might be related to evolutionary themes that would be expected to have widespread appeal when it comes to some of the unique and recurrent reproductive issues that women confront. The five most common words featured in romance novel titles were love, bride, baby, man, and marriage, in that order. Common themes extracted from these titles included commitment, reproduction, masculine/high ranking suitors, and resources.

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  • What makes work with rational numbers and integers comfortable are the essential properties they have, especially the unique factorization property (the Main Theorem of Arithmetic). However, the might of the arithmetic in Q is bounded. Thus, some polynomials, although they have zeros, cannot be factorized into polynomials with rational coefficients.

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  • Over the past six decades, tourism has experienced continued expansion and diversification becoming one of the largest and fastest growing economic sectors in the world. Many new destinations have emerged alongside the traditional ones of Europe and North America. In the next years an increase of travelling is expected, and the number of related infections will also be higher (http://www.unwto.org/facts/menu.html). Rickettsioses are an important chapter in the field of travel medicine.

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  • Participants from DCF stakeholder groups (provider countries / recipient countries / civil society and parliamentarians / UN system) are expected to brainstorm within their respective groups on how to advance gender equality in light of new challenges faced by development cooperation, including the transition to sustainable development and the coordination among different actors, approaches and flows to promote gender equality and the empowerment of women.

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  • Health insurers play a unique role as both sellers of insurance and buyers of health care services. These companies use their power as buyers against the smaller medical providers while cooperating with larger providers to increase profits for both.22,23 With only a handful of large insurers, physician practices often have no choice but to accept the prices offered without bargaining effectively. Larger providers, such as academic medical centers, can use their size and stature to negotiate rates.

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  • However, there is no study to date that examines the informational efficiency of the secondary market for loans relative to the market for bonds of the same corporation, largely due to the unavailability (at least until now) of secondary market prices of loans. Our study fills this gap in the literature. Specifically, we examine, using a unique dataset of secondary market daily prices of loans from November 1, 1999 through July 31, 2002, whether the loan market is informationally more efficient than the bond market. Given the nature of our sample period (i.e.

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  • Laura Bruney, Executive Director of the Arts & Business Council of Miami says, “The 101 list came about when one of our steering committee members thought people would respond [to a list of ideas] and they did! The steering committee came up with some unique items for the list. We focused on innovative and unique promotional opportunities between business and the arts. We also tried to emphasize neighborhood marketing—promoting the event/performance in the area surrounding the theatre or performance site.” When looking at the suggestions on this list, consider your target customers.

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  • Ian and Jane Campbell of Barambah Organics near Murgon in Queensland produce, process and market certified organic milk. Their movement into organic production was born from a long family interest in sustainable agriculture and the need to create a point of difference for their products. “Customers are often surprised by the unique taste of our milk. It comes from a balanced and healthy diet for the cows on our chemical-free broadacre pastures,” said Ian. Soil health and weed control are important considerations and are carefully managed with compost manures and lime.

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  • Oversight is an important role assumed by the Bundesbank in the field of payment transactions. This task is clarified with the latest amendment to Section 3 of the BBankG and is also recognised by the Treaty and the Statute as a basic task of the Eurosystem. Its aim is to ensure smooth payment transactions and encourage efficiency and security. In practical terms, this function is exercised largely by means of the general agreements on procedures and standards jointly developed with the banking sector and via institutionalised dialogues in various official bodies.

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  • All Americans have a stake in effective response to hate crimes. These crimes demand priority attention because of their special impact. Bias crimes are designed to intimidate the victim and members of the victim’s community, leaving them feeling isolated, vulnerable, and unprotected by the law. Failure to address this unique type of crime could cause an isolated incident to explode into widespread community tension. The damage done by hate crimes, therefore, cannot be measured solely in terms of physical injury or dollars and cents.

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  • Despite the increased demand for graduate business education stemming from the current economic slowdown and other contrib- uting factors, the savvy business school applicant is in a unique po- sition to secure a coveted seat in a leading MBA program through some additional due diligence. Understanding what wows and irri- tates admissions officers at leading business schools, and tailoring the MBA application accordingly, can propel one’s candidacy from unlikely to competitive.

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  • Latinas stand at a unique historical juncture in the reproductive justice movement. A new wave of Latinas are coming of age, changing the political and social landscape of this country. Without question, Latina civic and political influence will grow exponentially over the next decade, making their involvement and leadership in the reproductive rights movement a prerequisite for success. The need for reproductive justice for Latinas has never been greater.

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  • But risk factors don’t tell us everything. Having a risk factor, or even several risk factors, does not mean that you will get the disease. And some people who get the disease may have few or no known risk factors. Even if a person with basal or squamous cell skin cancer has a risk factor, it is often very hard to know how much that risk factor may have contributed to the cancer. The following are known risk factors for basal cell and squamous cell carcinomas. (These factors don't necessarily apply to other forms of non-melanoma skin cancer, such as...

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  • The expression of proteoglycans (PGs), essential macromolecules of the tumor microenvironment, is markedly altered during malignant transforma-tion and tumor progression. Synthesis of stromal PGs is affected by factors secreted by cancer cells and the unique tumor-modified extracellular matrix may either facilitate or counteract the growth of solid tumors.

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  • While many databases are focused on similar subjects, each database is unique. Differences may result from types of publications covered, data included, indexing standards, the presence of a thesaurus, or special formatting options. Details of each database are documented in its Bluesheet. A Dialog Bluesheet contains a description of the database content, provider contact information, terms of use, specific data available for searching, tagging, output formats, and other important features specific to the database. Bluesheets are available in PDF format online at library.dialog.

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  • The

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  • The NI test engineering team has developed and implemented a common test software and hardware platform that can be scaled across multiple product lines. The strategy was to create and maintain a standard test development software environment with flexible capabilities that engineers can use to focus on developing tests rather than reinventing their own, unique test frameworks.

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  • This insightful text looks at key risk factors identified with drug use among Hispanic, African-American, and White non-Hispanic adolescents, expanding on current models of drug research to account for the unique experiences of these young people. The model underlying the research draws components from three theoretical models: self-derogation/self-esteem; acculturation stress; and perceptions of racial and cultural prejudice and discrimination.

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  • Helicobacter pylori cytotoxin-associated gene-pathogenicity island (cagPAI) is responsible for the secretion of the CagA effector through a type IV secretion system (T4SS) apparatus, as well as of peptidoglycan and possibly other not yet identified factors.

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