| Papers [1-6] of 6 | Search results on "NAPIER LOGARITHMS": |
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Napier's Logarithms, 2008.
This paper discusses the historical development of Napier's logarithms and their lack of a base with current logarithms, which employ a base 10.
2,090 words (approx. 8.4 pages), 5 sources, MLA, $ 65.95
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Abstract
This paper explains that John Napier, in 1614, took an algebraic approach by defining logarithms as a ratio of two distances within a geometric pattern, base 1/e, which substituted for his lack of a base as in the currently used common logarithmic base 10. The author points out that the real benefit of these logarithms was that they simplified mathematical calculations by providing a shortcut for exponential factors just as exponents are a shortcut for multiplication. The paper relates that, since Napier's original logarithms lacked a common base, they were more consistently accurate but not as easy to manipulate as the common logarithms employed today. The author states that the common logarithms are much easier to calculate but only sufficiently accurate as compared to Napier's original logarithms. The paper includes graphs.
Table of Contents:
Introduction
Historical Background
Napier's Logarithms
Base 10 Logarithms
Conclusion
From the Paper
"While initially Napier's logarithms did not employ a base in the traditional sense he eventually adjusted his logarithms to account for a consistent base in much the same way they are currently employed today. Napier worked with another mathematician, a man by the name of Henry Briggs, to change his logarithmic forms to the form now currently common which is the L/e equation. Thus, Naperian logarithms now are described as points that are moving along a straight trajectory and indicated by units prescribed in length."
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"The Family Crucible" by Augustus Napier, 2002.
Analysis of book based on therapy sessions of a fictitiious family (a composite of real cases).
1,350 words (approx. 5.4 pages), 1 source, $ 47.95
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Abstract
Analysis of book based on therapy sessions of a fictitious family (a composite of real cases). Napier gives an account of these sessions together with his family therapy theory and practice. The therapeutic process. Therapy construction used. Basic patterns and problems of clients. Contends book pesents an excellent example of the therapist's reasoning and practice.
From the Paper
""The Family Crucible" (1988) is Augustus Napier's artfully written account of the course of therapy undertaken by the Brice family and conducted by the author and his former teacher Carl Whitaker. With the narrative flair of a novelist Napier immediately gets the reader caught up in the problems of the fictionalized family; a composite consisting of one main case history supplemented by details and incidents from the cases of other families that Napier and Whitaker had helped. In a number of chapters the account of the Brice's sessions is supplemented by general discussions of the theory and practice of family therapy. Other cases are briefly introduced as examples but, for the most part, Napier uses aspects of the Brices' therapy to illustrate his points. These discussions are designed to address issues that may have arisen for the reader in the preceding..."
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"The Family Crucible", 2007.
A review of "The Family Crucible" by Augustus Napier, Ph.D. and Carl Whitaker, M.D. on the topic of family therapy.
2,864 words (approx. 11.5 pages), 1 source, MLA, $ 85.95
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Abstract
In "The Family Crucible" authors Augustus Napier, Ph.D. and Carl Whitaker, M. D. worked together as co-therapists doing family therapy. They take the reader through a step-by-step introduction and explanation of what family therapy involves. The paper discusses how the authors wrote this book since they believe family therapy is a more effective way to help people and that eventually it will replace individual therapy. The authors also hoped to increase public awareness of family therapy as an option. The book is written conversationally and covers in-depth the experience of one family's year-long therapy. The paper contends that the use of one in-depth family case history throughout the book makes the book consistently interesting and not just theoretical.
From the Paper
"The therapists at this juncture must "call the shots" and insist that all family members who live under the same roof be present before therapy can begin because the family as a whole has to change. In the case history which forms the first chapter of the book, the son did not appear for the first meeting because the family was not yet committed to the idea of therapy. He was "elected" not to come, probably by something the parents said clued him in that it was okay to stay away. This particular family, the Brices, was seeking therapy because the parents were having trouble with their teenage daughter. Mother and daughter were fighting all the time."
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| Term Paper # 37771 |
temporarily unavailable
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"The Family Crucible", 2002.
A review of the book "The Family Crucible: The Intense Experience of Family Therapy" by Augustus Napier and Carl Whitaker.
1,229 words (approx. 4.9 pages), 1 source, MLA, $ 41.95
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Abstract
This paper examines the above book which uncovers various aspects of family structure and family dynamics in relation to the concept of family therapy and group discussions and counseling. It looks at how it provides a clear guide as well as a detailed insightful account of family relationships and how our perceptions, attitudes, beliefs and psychological existence affect our role as friends, family members, spouses and human beings or social animals. It also details how it provides ample material for normal families that undergo change, stress and difference of opinions and how it highlights the various pragmatic techniques involved in family therapy and offers thought-provoking accounts pertaining to the problems within the family structures.
From the Paper
"The language, though is kept quite professional throughout the book, sounds not only interesting but remains spell-binding, compelling the reader to go on and on until the magnum opus culminates. The authors have done a great job in selecting words and putting them together in such a manner that with ease, the reader can understand while the writer skillfully manages to put the message across. For instance, when Napier writes on page 2, ?Here was that perpetually awkward moment: not knowing whether to shake hands. There is a social component in the beginning of a family therapy, but there is also a professional distance? (Napier & Whitaker, 1988, Chapter 1). With simple words used adequately and artistically, the tone is made effective and what goes on in the mind of therapists or co-therapists and the minor confusions that they face as well as the professional requirements that they are to meet and social responsibility that they have to shoulder, all put in one single sentence."
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Cell Phones and Cancer, 2005.
An overview of the argument that cell phones can cause cancer.
2,237 words (approx. 8.9 pages), 10 sources, MLA, $ 69.95
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Abstract
This paper examines how major concerns arise from the fact that we are increasingly exposed to logarithmically increasing, non-ionizing radiation from wireless systems, cell phones, satellite transmissions, electricity transmission, and other products. The paper aims to present a solid argument through a literature review that cell phones, in particular, may be a cause of cancer.
From the Paper
"Public health scientist George Carlo and Martin Schram (2000) discuss the connection between cell phones and brain cancer in their book, "Cell Phones: Invisible Hazards in the Wireless Age." The book asserts that cell phones were not adequately tested for safety before they were marketed for sale, even though numerous studies linked radio frequency radiation (which is emitted by cell phones) with brain tumors, lymphoma and leukemia. Modern research indicates cell phone users may have a greater risk of brain cancer, and that emissions from the phones can damage the blood brain barrier and cause micronuclei in cells, small areas of genetic damage that are a sign of cancer."
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