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1. Quaternions: The word "quaternion " properly means " a set of four. In employing such a word to denote a new mathematical method, Sir W. Hamilton was probably influenced by the recollection of its Greek equivalent, the Pythagorean Tetractys (TerpaKrt, the number four ... [100%] 2022-09-02
2. Quaternions: Quaternions are numbers of the form a + b i + c j + d k {\displaystyle a+bi+cj+dk} , where a {\displaystyle a} , b {\displaystyle b} , c {\displaystyle c} and d {\displaystyle d} are real numbers and each of i , j ... [100%] 2024-01-08
3. Quaternion: QUATERNION kwa-tur'-ni-un (tetradion): The name given to a company of four soldiers of Herod's army (Acts 12:4). To four such companies Peter had been handed over, who would take their turn of acting as guard ... [90%] 1915-01-01
4. Quaternion: In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. (Noncommutative extension of the real numbers) [90%] 2024-01-06 [Composition algebras] [Quaternions]...
5. Quaternion: In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. (Noncommutative extension of the complex numbers) [90%] 2024-01-06 [Composition algebras] [Quaternions]...
6. Quaternion: Die Quaternionen (Singular die Quaternion, von lateinisch quaternio, -ionis f. „Vierheit“) sind ein Zahlenbereich, der den Zahlenbereich der reellen Zahlen erweitert – ähnlich den komplexen Zahlen und über diese hinaus. [90%] 2024-01-19
7. Quaternion: A hypercomplex number, geometrically realizable in four-dimensional space. The system of quaternions was put forward in 1843 by W.R. (Mathematics) [90%] 2024-01-06
8. Quaternion: In mathematics, a quaternion is a four-dimensional object important in group theory and geometry. As with the complex numbers, the quaternions can be viewed as an extension of the real number line. [90%] 2023-03-02 [Mathematics]
9. History of quaternions: In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were first described in print by Olinde Rodrigues in all but name in 1840, but independently discovered by Irish mathematician ... (Aspect of history) [76%] 2024-01-08 [Historical treatment of quaternions]
10. Treatment of cancer: Cancer can be treated by surgery, chemotherapy, radiation therapy, hormonal therapy, targeted therapy (including immunotherapy such as monoclonal antibody therapy) and synthetic lethality, most commonly as a series of separate treatments (e.g. chemotherapy before surgery). (Medicine) [65%] 2023-12-19 [Cancer treatments] [Medical treatments]...
11. Treatment of cancer: Cancer can be treated by surgery, chemotherapy, radiation therapy, hormonal therapy, targeted therapy (including immunotherapy such as monoclonal antibody therapy) and synthetic lethality, most commonly as a series of separate treatments (e.g. chemotherapy before surgery). (Overview of various treatment possibilities for cancer) [65%] 2023-10-19 [Cancer treatments] [Medical treatments]...
12. Quaternion Society: 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 ... (Special interest group of mathematicians (1899 to 1913)) [63%] 2023-12-18 [Mathematical societies] [Historical treatment of quaternions]...
13. Unit quaternion: A quaternion with norm 1, that is, $xi + yj + zk + t$ with $x^2+y^2+z^2+t^2 = 1$. The real unit quaternions form a group isomorphic to the special unitary group $\mathrm{SU}_2$ over the complex ... (Mathematics) [63%] 2023-11-01
14. Quaternion algebra: In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes a matrix algebra by extending scalars (equivalently, tensoring with a field extension), i ... (Generalization of quaternions to other fields) [63%] 2024-01-06 [Composition algebras] [Quaternions]...
15. Aguila Quaternion: Este artículo trata sobre Escudo del Sacro Imperio (1155-1806). Para escudos posteriores, véase Escudo de Alemania. Para para los escudos de los emperadores austríacos (desde 1806), véase Escudo del Imperio Austríaco. [63%] 2023-05-17
16. Quaternion algebra: over a field $F$ An associative algebra over a field $F$ that generalises the construction of the quaternions over the field of real numbers. The quaternion algebra $(a,b)_F$ is the four-dimensional vector space over $F$with basis ... (Mathematics) [63%] 2023-12-05
17. Quaternion group: A metabelian $2$-group (cf. Meta-Abelian group) of order 8, defined by generators $x,y$ and relations $$x^4=x^2y^2=xyxy^{-1}=1.$$ The quaternion group can be isomorphically imbedded in the multiplicative group of the algebra ... (Mathematics) [63%] 2023-10-17
18. Split-quaternion: In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They form an associative algebra of dimension four over the real numbers. (Four-dimensional associative algebra over the reals) [63%] 2024-02-11 [Composition algebras] [Quaternions]...
19. Quaternion Society: 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 ... (Organization) [63%] 2024-01-08 [Historical treatment of quaternions] [History of mathematics]...
20. Quaternion group: In group theory, the quaternion group Q8 (sometimes just denoted by Q) is a non-abelian group of order eight, isomorphic to the eight-element subset \displaystyle{ \{1,i,j,k,-1,-i,-j,-k\} }[/math] of the quaternions under ... [63%] 2024-01-07 [Group theory] [Finite groups]...