The Quaternion Society was a scientific society , self-described as an "International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics". At its peak it consisted of about 60 mathematicians spread throughout the academic world that were experimenting with quaternions and other hypercomplex number systems. The group's guiding light was Alexander Macfarlane who served as its secretary initially, and became president in 1909. The association published a Bibliography in 1904 and a Bulletin (annual report) from 1900 to 1913.
52-403: The Bulletin became a review journal for topics in vector analysis and abstract algebra such as the theory of equipollence . The mathematical work reviewed pertained largely to matrices and linear algebra as the methods were in rapid development at the time. In 1895, Professor P. Molenbroek of The Hague, Holland, and Shinkichi Kimura studying at Yale put out a call for scholars to form
104-552: A plenary address at the International Congress of Mathematicians in 1924 in Toronto: A finite world-radius and some of its cosmological implications . In 1935, following a controversial debate with Albert Einstein , Silberstein published a solution of Einstein's field equations that appeared to describe a static, axisymmetric metric with only two point singularities representing two point masses. Such
156-609: A Letter to the Editor in which they pointed out a critical flaw in Silberstein's reasoning. Unconvinced, Silberstein took the debate to the popular press, with The Evening Telegram in Toronto publishing an article titled "Fatal blow to relativity issued here" on March 7, 1936. Nonetheless, Einstein was correct and Silberstein was wrong: as we know today, all solutions to Weyl's family of axisymmetric metrics, of which Silberstein's
208-557: A discussion on the theoretical implications of such research. Systematic reviews are more highly regarded and selected than narrative reviews due to their specificity and neutrality. In the field of clinical research , the Cochrane organisation publishes systematic reviews (called Cochrane Reviews ) on healthcare topics in the Cochrane Database of Systematic Reviews . A meta-analysis summarises quantitative results from
260-423: A dramatic loss in future citations. Typically, the review gets cited instead of the specific articles mentioned in the review." The study identifies an exception to this trend: articles that are characterized by the review as being bridges between clusters of scholarship tend to get disproportionate future attention. An analysis was conducted by McAlister et al. of review articles in six different medical journals. Of
312-506: A field; they are known as review journals. The concept of "review article" is separate from the concept of peer-reviewed literature. A review article, even one that is requested or "peer-invited", will be either peer-reviewed or non-peer-reviewed depending on how submissions are treated. According to a 2021 study in the American Sociological Review , "papers cited by formal review articles generally experience
364-401: A form of secondary literature . Literature reviews provide a summary of what the authors believe are the best and most relevant prior publications. Systematic reviews determine an objective list of criteria, and find all previously published original papers that meet the criteria; they then compare the results presented in these papers. Some academic journals likewise specialize in review of
416-491: A greater impact on readers than those that did not include review articles. In terms of the growth of review articles, the rate has been exponential. The number of papers on the topic of 'pathology' has increased 2.3 times between the years 1991 to 2006. Within the science discipline, the number of review articles in the Science Citation Index increased from 14,815 to 45,829 between 1991 and 2005. Following
468-531: A professional standard; for instance the Manual of Quaternions (1905) of Joly has no bibliography beyond citation of Macfarlane. Furthermore, in 1967 when Michael J. Crowe published A History of Vector Analysis , he wrote in the preface (page ix) : Every year more papers and books appeared that were of interest to Association members so it was necessary to update the Bibliography with supplements in
520-827: A quaternion collaborator with Charles-Ange Laisant , author of Methode des Quaterniones (1881). Victor Schlegel reported on the new institution in the Monatshefte für Mathematik . When the society was organized in 1899, Peter Guthrie Tait was chosen as president, but he declined for reasons of poor health. The first president was Robert Stawell Ball , and Alexander Macfarlane served as secretary and treasurer. In 1905 Charles Jasper Joly took over as president and L. van Elfrinkhof as treasurer, while Macfarlane continued as secretary. In 1909 Macfarlane became president, James Byrnie Shaw became secretary, and van Elfrinkhof continued as treasurer. The next year Macfarlane and Shaw continued in their posts, while Macfarlane also absorbed
572-464: A rate of 2,500 per year on the MEDLINE platform (Moher et al., 2007). The increase in prevalence of review articles within these disciplines can be attributed to the pull towards " evidence-based practice ". This term was coined by Sackett (2000) and refers to the combination of available research, practitioner expertise, and consumer values. Due to the inundation of original research in the field, there
SECTION 10
#1732787437360624-413: A solution clearly violates our understanding of gravity : with nothing to support them and no kinetic energy to hold them apart, the two masses should fall towards each other due to their mutual gravity, in contrast with the static nature of Silberstein's solution. This led Silberstein to claim that A. Einstein 's theory was flawed, in need of a revision. In response, Einstein and Nathan Rosen published
676-524: A variety of research articles on a chosen topic. Given that these articles are formulating conclusions from multiple data sets, meta-analyses adhere to specific guidelines stipulated by the journals where they are published. A meta-analysis lends itself more to statistical research, often converting the original research into one common metric referred to as "effect sizes", so as to easily identify patterns and anomalies among publications. Systematic reviews may include meta-analysis results. The first edition of
728-461: Is a need for review articles which highlight relevant studies, results and trends. The varying methods and participants used among original research studies can provide inconsistent results, thereby presenting a challenge in synthesising information using one common metric. The conjunction of meta-analyses and systematic reviews has proven to be more effective in organising data and drawing conclusions, especially when it comes to clinical trials within
780-402: Is also dependent on the quality of the review articles published. Separate to the quality of articles, the number of review articles published poses its own challenge to those searching for succinct but comprehensive research analysis. This makes it just as difficult for experts to navigate through the synthesised review articles as it is to sift through the primary research itself. Additionally,
832-399: Is always vulnerable. Criticising is easy, and of little value; it is more important to explain how research builds upon previous findings rather than to claim previous research is inadequate and incompetent." Within this section of the review article is the suggestion of improvements and areas to further extend the research in reference. The bibliography included at the end of review articles
884-639: Is an article that summarizes the current state of understanding on a topic within a certain discipline. A review article is generally considered a secondary source since it may analyze and discuss the method and conclusions in previously published studies. It resembles a survey article or, in news publishing, overview article , which also surveys and summarizes previously published primary and secondary sources , instead of reporting new facts and results. Survey articles are however considered tertiary sources , since they do not provide additional analysis and synthesis of new conclusions. A review of such sources
936-400: Is equally important as it leads to further information on the study being discussed and is a way for academics and students alike to further their research. These are secondary sources . Meyers and Sinding say, " ... The review selects from these (research) papers, juxtaposes them, and puts them in a narrative that holds them together… clearly the best reviews are not only concerned with what
988-564: Is not clear or lacking synergy. A key aim of review articles is to pose other potential avenues of research, stating the limitations of the empirical studies under review and how future studies of the same nature can be improved. They also present findings of other studies within the same discipline, comparing results and drawing conclusions based on each individual finding. Essentially, they are an evaluation of already published academic research. Review articles do not introduce new results, but reiterate existing results and draw conclusions on
1040-467: Is now available on-line in the Internet Archive (see references). The quaternions used are actually biquaternions . The book is highly readable and well-referenced with contemporary sources in the footnotes. Several reviews were published. Nature expressed some misgivings: In his review Morris R. Cohen wrote, "Dr. Silberstein is not inclined to emphasize the revolutionary character of
1092-558: Is often referred to as a tertiary review . Academic publications that specialize in review articles are known as review journals. Review journals have their own requirements for the review articles they accept, so review articles may vary slightly depending on the journal they are being submitted to. Review articles teach about: A meta-study summarizes a large number of already published experimental or epidemiological studies and provides statistical analysis of their result. Review articles have increased in impact and relevance alongside
SECTION 20
#17327874373601144-427: Is valuable, but an expert's assessment of the literature can be more valuable. When reading individual articles, readers could miss features that are apparent to an expert clinician-researcher. Readers benefit from the expert's explanation and assessment of the validity and applicability of individual studies. Review articles come in the form of literature reviews and, more specifically, systematic reviews ; both are
1196-688: The Bulletin . The categories used to group the items in the supplements give a sense of the changing focus of the Association: In 1913 Macfarlane died, and as related by Dirk Struik , the Society "became a victim of the first World War". James Byrnie Shaw, the surviving officer, wrote 50 book notices for American mathematical publications. The final article review in the Bulletin was The Wilson and Lewis Algebra of Four-Dimensional Space written by J. B. Shaw. He summarizes, The article reviewed
1248-555: The Handbook of Research Synthesis aided the development of various analysis techniques that could be used in systematic review articles, thereby developing this form of literature. Review articles initially identify the scope and aim. If submitting the review article to a journal, the author must familiarise themselves with the theme of the journal as well as its conditions for submission. Some journals only accept review articles whereas others strictly publish original research . Once
1300-772: The University of Chicago , the University of Toronto , and Cornell University . He lived until January 17, 1948. At the International Congress of Mathematicians (ICM) in 1912 at Cambridge , Silberstein spoke on "Some applications of quaternions". Though the text was not published in the proceedings of the Congress, it did appear in the Philosophical Magazine of May, 1912, with the title "Quaternionic form of relativity". The following year Macmillan published The Theory of Relativity , which
1352-572: The original research , and innovative suggestions to further develop the field through further studies. A systematic review is more detailed and structured than a narrative review . It details the aims, hypothesis, and research method clearly so as to remain transparent and neutral. This review format adheres to explicit criteria when selecting what research is included in the review. Common methods used to analyse selected research articles include text mining , citation , co-citation analysis , and topic modelling . These types of reviews also include
1404-428: The 538 review articles published in pathology journals within the year 2005, a mere 21% of them have been cited over ten times following their issuance. Furthermore, in a 2000-2006 comparison of journals; The American Journal of Pathology , The Journal of Pathology , and Laboratory Investigation , published both with and without review articles included, it was found that journals published with review articles had
1456-426: The article are fellow academics or experts within the field under discussion in the paper. Sending out a peer review allows for gaps in the paper to be acknowledged so that the review can be as well-informed and comprehensive as possible. Peers will often recommend other research articles and studies to be included in the review, which can add strength to the article. Confusion amongst peers also indicates that your paper
1508-430: The audience of the article, and should describe what the article is about. Search engine optimisation is important when publishing articles within a discipline where the literature is already saturated. Like most academic articles, a review article includes an ' abstract' at the start. The 'Abstract' section of the review article should include: a synopsis of the topic being discussed or the issue studied, an overview of
1560-715: The field description with complexification . This contribution has been described as a crucial step in modernizing Maxwell's equations , while E + i B {\displaystyle \mathbf {E} +i\mathbf {B} } is known as the Riemann–Silberstein vector . Silberstein taught in Rome until 1920, when he entered private research for the Eastman Kodak Company of Rochester, New York . For nine years he maintained this consultancy with Kodak labs while he gave his relativity course on occasion at
1612-442: The field of biodiversity alone. This overload of research papers makes it difficult for scientists and clinicians to remain up to date on current findings and developments within their discipline. Research articles form the basis of review articles. Review articles use the original information presented in research articles to draw conclusions and pose suggestions for future research. Research and empirical articles are reporting
Quaternion Society - Misplaced Pages Continue
1664-484: The field whilst still being grounded in academia. When finding sources, it is ideal to search through multiple databases and search engines . This ensures a wide berth of knowledge that presents multiple perspectives and allows for a reasonably balanced article. Some disciplines encourage the use of certain search engines. For example, science-based review articles heavily utilise Medline , Embase and CINAHL . The title, abstract and keywords chosen bring awareness to
1716-418: The inclusion of poorly referenced, inadequately researched, and overly biased review articles serve to muddy the water and make it even harder to determine quality writing. Following the release of the Handbook of Research Synthesis , the use of review articles within the social, behavioural and health science disciplines has proliferated. 2007 statistics showed that systematic review articles were produced at
1768-460: The increase in the amount of research that needs to be synthesised. They are a concise way of collating information for practitioners or academics that are not able to read the plethora of original research that is being published. There are various categories of review articles, including narrative reviews, systematic reviews , and meta-analysis . Review articles do not introduce new results, but rather state existing results, drawing conclusions on
1820-446: The intended audience. The discussion section of the article presents multiple perspectives, stating limitations and potential extensions of the study being reviewed. Also, within this section, similarities and dissonances among studies are stated. The presentation of both the shortcomings and advancements of the research papers under review is important for comprehensiveness. Daft (1985, p 198) emphasised this by saying " Previous work
1872-600: The medical field. Ludwik Silberstein Ludwik Silberstein (May 17, 1872 – January 17, 1948) was a Polish -American physicist who helped make special relativity and general relativity staples of university coursework. His textbook The Theory of Relativity was published by Macmillan in 1914 with a second edition, expanded to include general relativity, in 1924. Silberstein was born on May 17, 1872, in Warsaw to Samuel Silberstein and Emily Steinkalk. He
1924-511: The new ideas, but rather concerned to show their intimate connection with older ones." Another review by Maurice Solovine states that Silberstein subjected the relativity principle to an exhaustive examination in the context of, and with respect to, the principal problems of mathematical physics taken up at the time. On the basis of the book, Silberstein was invited to lecture at the University of Toronto . The influence of these lectures on John Lighton Synge has been noted: Silberstein gave
1976-531: The office of treasurer. When Macfarlane died in 1913 after nearly completing the issue of the Bulletin , Shaw completed it and wound up the association. The rules state that the president had the power of veto. The Bulletin of the Association Promoting the Study of Quaternions and Allied Systems of Mathematics was issued nine times under the editorship of Alexander Macfarlane. Every issue listed
2028-460: The officers of the Association, governing council, rules, members, and a financial statement from the treasurer . Today HathiTrust provides access to these publications that are mainly of historical interest: Published in 1904 at Dublin, cradle of quaternions, the 86 page Bibliography of Quaternions and Allied Systems of Mathematics cited some one thousand references. The publication set
2080-597: The results of the author's study, thereby deeming it a primary source . They often include raw data and statistics, using the words participants , sample , subjects , and experiment frequently throughout. Review articles are academic but are not empirical . As opposed to presenting the results of a study (which would be a research article ), review articles evaluate the results of already published studies. Review articles in academic journals analyze or discuss research previously published by others, rather than reporting new experimental results. An expert's opinion
2132-428: The results presented across many research articles. Review articles hold importance as they forecast to see new research opportunities by synthesising the existing research and identifying gaps in this research. They were born out of the necessity to categorise and make sense of the ongoing plethora of research publications being released annually. Between 1991 and 2008, there were forty times more papers published within
Quaternion Society - Misplaced Pages Continue
2184-441: The results presented. Review articles can be categorised by using the same domain, underlying theory, or research method . Sometimes these categories overlap. Narrative reviews describe the published information on a theme or topic, but often does not include the methodological process involved in researching the topic. This can lead to narrative review articles being biased , missing important theoretical details pertaining to
2236-505: The same trend, the number of dedicated review journals within the Science Citation Index database grew from 163 to 198 between 1999 and 2006. Although, the percentage of review articles in review journals that formed the foundation of review literature decreased by 17% between 1999 and 2005. This indicates that most review articles are being allocated to original research journals as opposed to strictly review journals. This
2288-401: The scope of the journal the author intends to submit to is identified, then identify the own personal scope and aim for the article. Experienced author, Angus Crake emphasises the need to define a scope that is "manageable, not too large or small" and to "focus on recent advances if the field is well established". This equates to a succinct, refreshing review article that adds a new perspective to
2340-412: The six journals, less than 25% included a description, evaluation, or synthesis of evidence that had been provided. Only one-third of the articles had a clinical topic at the forefront, and only half of the articles presented quantitative data that support the suggestions made at the end of the piece. Historically, review journals have a higher impact than primary research journals. The year 2006 showed
2392-558: The society in widely circulated journals: Nature , Science , and the Bulletin of the American Mathematical Society . Giuseppe Peano also announced the society formation in his Rivista di Matematica . The call to form an Association was encouraged by Macfarlane in 1896: In 1897 the British Association met in Toronto where vector products were discussed: A system of national secretaries
2444-399: The study participants used in the empirical study being reviewed, a discussion of the results found and conclusions drawn by the scholars conducting the study, an explanation of how such findings have already or could potentially impact the theory and practice within the relevant discipline. Within this section, context and the relevance of the review is included. The jargon used will depend on
2496-448: The top 10 most impactful journals to be compiled exclusively of review articles. In addition to this, review articles are cited more frequently than research articles. There are currently no studies commenting on the effect of review articles on the impactfullness of journals that usually only publish research papers. This prevents one from saying with certainty that review articles could replace original research papers in large journals. Of
2548-674: Was "The space-time manifold of relativity, the non-Euclidean geometry of mechanics, and electromagnetics". However, when the textbook The Theory of Relativity by Ludwik Silberstein in 1914 was made available as an English understanding of Minkowski space , the algebra of biquaternions was applied, but without references to the British background or Macfarlane or other quaternionists of the Society. The language of quaternions had become international, providing content to set theory and expanded mathematical notation , and expressing mathematical physics . Review journal A review article
2600-514: Was announced in the AMS Bulletin in 1899: Alexander McAulay for Australasia, Victor Schlegel for Germany, Joly for Great Britain and Ireland, Giuseppe Peano for Italy, Kimura for Japan, Aleksandr Kotelnikov for Russia, F. Kraft for Switzerland, and Arthur Stafford Hathaway for the USA. For France the national secretary was Paul Genty, an engineer with the division of Ponts et Chaussees, and
2652-446: Was done in the past, but also present a means to sculpt the future." Reference management software such as Papers , EndNote , and Zotero are useful for when it comes to actually structuring and writing your review article. The process of review articles being peer-reviewed is critical to their credibility. The peer review process is a way to ensure the article is as polished and accurate as possible. Most often, those reviewing
SECTION 50
#17327874373602704-830: Was educated in Kraków , Heidelberg , and Berlin . To teach he went to Bologna , Italy from 1899 to 1904. Then he took a position at Sapienza University of Rome . In 1907 Silberstein described a bivector approach to the fundamental electromagnetic equations. When E {\displaystyle \mathbf {E} } and B {\displaystyle \mathbf {B} } represent electric and magnetic vector fields with values in R 3 {\displaystyle \mathbb {R} ^{3}} , then Silberstein suggested E + i B {\displaystyle \mathbf {E} +i\mathbf {B} } would have values in C 3 {\displaystyle \mathbb {C} ^{3}} , consolidating
#359640