<span class="searchmatch">quaternion</span> <span class="searchmatch">algebra</span> (plural <span class="searchmatch">quaternion</span> <span class="searchmatch">algebras</span>) (mathematics, <span class="searchmatch">algebra</span>) A particular kind of <span class="searchmatch">algebra</span>, generalizing the classical <span class="searchmatch">quaternions</span>: a four-dimensional...
<span class="searchmatch">quaternion</span> <span class="searchmatch">algebras</span> plural of <span class="searchmatch">quaternion</span> <span class="searchmatch">algebra</span>...
hyperbolic <span class="searchmatch">quaternion</span> (plural hyperbolic <span class="searchmatch">quaternions</span>) (mathematics, abstract <span class="searchmatch">algebra</span>) A nonassociative <span class="searchmatch">algebra</span> over the real numbers with elements of...
hypercomplex number (mathematics): versor hyperbolic <span class="searchmatch">quaternion</span> <span class="searchmatch">quaternion</span> <span class="searchmatch">algebra</span> quaternionic split-<span class="searchmatch">quaternion</span> a four-dimensional hypercomplex number (mathematics):...
polynomial <span class="searchmatch">algebra</span> power-associative <span class="searchmatch">algebra</span> prealgebra pseudoalgebra quasibialgebra <span class="searchmatch">quaternion</span> <span class="searchmatch">algebra</span> reduced <span class="searchmatch">algebra</span> semialgebra shuffle <span class="searchmatch">algebra</span> simple...
(plural Clifford <span class="searchmatch">algebras</span>) (<span class="searchmatch">algebra</span>, mathematical physics) A unital associative <span class="searchmatch">algebra</span> which generalizes the <span class="searchmatch">algebra</span> of <span class="searchmatch">quaternions</span> but which is not...
division <span class="searchmatch">algebra</span> Hypernyms: associative <span class="searchmatch">algebra</span>, linear <span class="searchmatch">algebra</span>, division ring, vector space Hyponyms: field, <span class="searchmatch">quaternions</span>, complex numbers, reals (<span class="searchmatch">algebra</span>) An...
étale <span class="searchmatch">algebras</span> over the ground field F, the four dimensional ones are the generalized <span class="searchmatch">quaternion</span> <span class="searchmatch">algebras</span>, and the eight dimensional Hurwitz <span class="searchmatch">algebras</span> are...
of Latin ūnus + <span class="searchmatch">quaternion</span>. unarion (plural unarions) (mathematics) An element in the bottom level of associative composition <span class="searchmatch">algebra</span>, which is an element...
From bi- + <span class="searchmatch">quaternion</span>. biquaternion (plural biquaternions) (<span class="searchmatch">algebra</span>) Any of the numbers w + x i + y j + z k {\displaystyle w+xi+yj+zk\ \!} where w,...