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Quaternion Association
The Quaternion Association 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. 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. Genesis In 1895, Professor P. Molenbroek of The Hague, Holland, and Shinkichi Kimura studying at Yale put out a call for scholars to form the association in wide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scientific Society
A learned society ( ; also scholarly, intellectual, or academic society) is an organization that exists to promote an academic discipline, profession, or a group of related disciplines such as the arts and sciences. Membership may be open to all, may require possession of some qualification, or may be an honour conferred by election. Most learned societies are non-profit organizations, and many are professional associations. Their activities typically include holding regular conferences for the presentation and discussion of new research results, and publishing or sponsoring academic journals in their discipline. Some also act as professional bodies, regulating the activities of their members in the public interest or the collective interest of the membership. History Some of the oldest learned societies are the (founded 1323), (founded 1488), (founded 1583), (founded 1603), (founded 1635), German National Academy of Sciences Leopoldina (founded 1652), Royal Society ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tensor Of A Quaternion
William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton's original treatment of quaternions, using his notation and terms. Hamilton's treatment is more geometric than the modern approach, which emphasizes quaternions' algebraic properties. Mathematically, quaternions discussed differ from the modern definition only by the terminology which is used. Classical elements of a quaternion Hamilton defined a quaternion as the quotient of two directed lines in tri dimensional space; or, more generally, as the quotient of two vectors. A quaternion can be represented as the sum of a ''scalar'' and a ''vector''. It can also be represented as the product of its ''tensor'' and its ''versor''. Scalar Hamilton invented the term ''scalars'' for the real numbers, because they span the "scale of progression from positive to negative infinity" or because they represent the "comparison of positions upon one common scale". Hamilton regarded o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Financial Statement
Financial statements (or financial reports) are formal records of the financial activities and position of a business, person, or other entity. Relevant financial information is presented in a structured manner and in a form which is easy to understand. They typically include four basic financial statements accompanied by a management discussion and analysis: # A balance sheet reports on a company's assets, liabilities, and owners equity at a given point in time. # An income statement reports on a company's income, expenses, and profits over a stated period. A profit and loss statement provides information on the operation of the enterprise. These include sales and the various expenses incurred during the stated period. # A statement of changes in equity reports on the changes in equity of the company over a stated period. # A cash flow statement reports on a company's cash flow activities, particularly its operating, investing and financing activities over a stated pe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles Jasper Joly
Charles Jasper Joly FRS FRAS MRIA (27 June 1864 – 4 January 1906) was an Irish mathematician and astronomer who was Andrews Professor of Astronomy from 1897 until his death in 1906. He was an important figure in the study of quaternions. Early life Joly was born at St Catherine's Rectory, Hop Hill, Tullamore, County Offaly, the eldest of six children of Rev. John Swift Joly (1818-1887) and Elizabeth Slator (1835-1904). He was a second cousin to John Joly. He was educated at Galway Grammar School. In 1882, he was enrolled at Trinity College Dublin on a mathematical scholarship and graduated with first place in mathematics in 1886. Winning a studentship and following his great interest in experimental physics, he moved to Berlin to work in Helmholtz’s laboratory. Career In 1897, Joly was appointed Andrews Professor of Astronomy at Trinity College Dublin. Although there was some dispute as to his suitability, his mathematical skill was recognised, particularly his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robert Stawell Ball
Sir Robert Stawell Ball (1 July 1840 – 25 November 1913) was an Irish astronomer who founded the screw theory. He was Royal Astronomer of Ireland at Dunsink Observatory. Life He was the son of naturalist Robert Ball and Amelia Gresley Hellicar. He was born in Dublin. and was educated at Trinity College Dublin where he won a scholarship in 1859 and was a senior moderator in both ''mathematics'' and ''experimental and natural science'' in 1861. Ball worked for Lord Rosse from 1865 to 1867. In 1867, he became Professor of Applied Mathematics at the Royal College of Science in Dublin. There he lectured on mechanics and published an elementary account of the science. In 1873, he became a Fellow of the Royal Society. In 1874, he was appointed Royal Astronomer of Ireland and Andrews Professor of Astronomy in Trinity College Dublin at Dunsink Observatory. Ball contributed to the science of kinematics by delineating the screw displacement: :When Ball and the screw theorists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Guthrie Tait
Peter Guthrie Tait (28 April 18314 July 1901) was a Scottish Mathematical physics, mathematical physicist and early pioneer in thermodynamics. He is best known for the mathematical physics textbook ''Treatise on Natural Philosophy'', which he co-wrote with William Thomson, 1st Baron Kelvin, Lord Kelvin, and his early investigations into knot theory. His work on knot theory contributed to the eventual formation of topology as a mathematical discipline. His name is known in graph theory mainly for Tait's conjecture on cubic graphs. He is also one of the namesakes of the Tait–Kneser theorem on osculating circles. Early life Tait was born in Dalkeith on 28 April 1831 the only son of Mary Ronaldson and John Tait, secretary to the Walter Montagu Douglas Scott, 5th Duke of Buccleuch, 5th Duke of Buccleuch. He was educated at Dalkeith Grammar School then Edinburgh Academy, where he began his lifelong friendship with James Clerk Maxwell. He studied mathematics and physics at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monatshefte Für Mathematik
'' Monatshefte für Mathematik'' is a peer-reviewed mathematics journal established in 1890. Among its well-known papers is " Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" by Kurt Gödel, published in 1931. The journal was founded by Gustav von Escherich and Emil Weyr in 1890 as ''Monatshefte für Mathematik und Physik'' and published until 1941. In 1947 it was reestablished by Johann Radon under its current title. It is currently published by Springer in cooperation with the Austrian Mathematical Society. The journal is indexed by ''Mathematical Reviews'' and Zentralblatt MATH. Its 2009 MCQ was 0.58, and its 2009 impact factor The impact factor (IF) or journal impact factor (JIF) of an academic journal is a type of journal ranking. Journals with higher impact factor values are considered more prestigious or important within their field. The Impact Factor of a journa ... was 0.764. External links *''Monatshefte für Mathematik und ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Charles-Ange Laisant
Charles-Ange Laisant (1 November 1841 – 5 May 1920), French politician and mathematician, was born at Indre, near Nantes on 1 November 1841, and was educated at the École Polytechnique as a military engineer. He was a Freemason and a libertarian socialist. Politics He defended the fort of Issy at the Siege of Paris, and served in Corsica and in Algeria in 1873. In 1876 he resigned his commission to enter the Chamber as deputy for Nantes in the republican interest, and in 1879 he became director of the ''Le Petit Parisien''. For alleged libel on General Courtot de Cissey in this paper he was heavily fined. The Encyclopaedia Britannica article has the erroroneous "Anne" for the correct "Ange". In the Chamber he spoke chiefly on army questions; and was chairman of a commission appointed to consider army legislation, resigning in 1887 on the refusal of the Chamber to sanction the abolition of exemptions of any kind. He then became an adherent of the revisionist policy of G ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Stafford Hathaway
Arthur Stafford Hathaway (1855 — 1934) was an American mathematician. Arthur was born September 15, 1855, in Keeler, Michigan. A student at Cornell University, Hathaway earned a bachelor's degree in 1879. For two years he was instructor in mathematics at Friends High School in Baltimore. Hathaway studied with James Joseph Sylvester at Johns Hopkins University. From Sylvester's lectures he learned some number theory and published notes on congruences. He was an instructor at Cornell University from 1885 to 1890 and an assistant professor in 1891. In October 1884 William Thomson, Baron Kelvin led a master class on "Molecular Dynamics and the Wave Theory of Light" at Johns Hopkins. Kelvin did not provide a text for his course and Hathaway made notes in short-hand. He wrote up the notes and duplicated them with a Papyrograph, a recent stencil-based device. As the demand outstripped the supply, Hathaway corresponded with Kelvin back in Glasgow to prepare for proper publication. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aleksandr Kotelnikov
Aleksandr Petrovich Kotelnikov (; October 20, 1865 – March 6, 1944) was a Russian and Soviet mathematician specializing in geometry and kinematics. Biography Aleksandr was the son of , a colleague of Nikolai Lobachevsky. The subject of hyperbolic geometry was non-Euclidean geometry, a departure from tradition. The early exposure to Lobachevsky's work eventually led to Aleksandr undertaking the job of editing Lobachevsky's works. Kotelnikov studied at Kazan University, graduating in 1884. He began teaching at a gymnasium. Having an interest in mechanics, he did graduate study. His thesis was ''The Cross-Product Calculus and Certain of its Applications in Geometry and Mechanics''. His work contributed to the development of screw theory and kinematics. Kotelnikov began instructing at the university in 1893. His habilitation thesis was ''The Projective Theory of Vectors'' (1899). In Kiev, Kotelnikov was professor and head of the department of pure mathematics until 1904. Retu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Schlegel
Victor Schlegel (4 March 1843 – 22 November 1905) was a German mathematician. He is remembered for promoting the geometric algebra of Hermann Grassmann and for a method of visualizing polytopes called Schlegel diagrams. In the nineteenth century there were various expansions of the traditional field of geometry through the innovations of hyperbolic geometry, non-Euclidean geometry and algebraic geometry. Hermann Grassmann was one of the more advanced innovators with his anticipation of linear algebra and multilinear algebra that he called "Extension theory" (''Ausdehnungslehre''). As recounted by David E. Rowe in 2010: :The most important new convert was Victor Schlegel, Grassmann’s colleague at Stettin Gymnasium from 1866 to 1868. Afterward Schlegel accepted a position as Oberlehrer at the Gymnasium in Waren, a small town in Mecklenburg. In 1872 Schlegel published the first part of his ''System der Raumlehre'' which used Grassmann’s methods to develop plane geometr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander McAulay
Alexander McAulay (9 December 1863 – 6 July 1931) was the first professor of mathematics and physics at the University of Tasmania, Hobart, Tasmania. He was also a proponent of dual quaternions, which he termed "octonions" or "Clifford biquaternions". McAulay was born on 9 December 1863 and attended Kingswood School in Bath. He proceeded to Caius College, Cambridge, there taking up a study of the quaternion algebra. In 1883 he published an article "Some general theorems in quaternion integration". McAulay took his degree in 1886, and began to reflect on the instruction of students in quaternion theory. In an article "Establishment of the fundamental properties of quaternions" he suggested improvements to the texts then in use. He also wrote a technical article on integration. Departing for Australia, he lectured at Ormond College, University of Melbourne from 1893 to 1895. As a distant correspondent, he participated in a vigorous debate about the place of quaternions in phys ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
