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searching for Euclidean domain 6 found (87 total)

Arrangement of hyperplanes (1,804 words) [view diff] exact match in snippet view article find links to article

specialized to be all value q, then this is called the q-matrix (over the Euclidean domain Q [ q ] {\displaystyle \mathbb {Q} [q]} ) for the arrangement and much

Navier–Stokes equations (15,320 words) [view diff] exact match in snippet view article find links to article

three-dimensional example For example, in the case of an unbounded Euclidean domain with three-dimensional — incompressible, stationary and with zero viscosity

Deepak Kapur (1,921 words) [view diff] exact match in snippet view article find links to article

August 1988). "Computing a Grobner basis of a polynomial ideal over a Euclidean domain". Journal of Symbolic Computation. 6 (1): 37–57. doi:10.1016/S0747-7171(88)80020-8

Noether normalization lemma (2,606 words) [view diff] exact match in snippet view article find links to article

is some ideal. Since k [ y ] {\displaystyle k[y]} is a PID (it is a Euclidean domain), I = ( f ) {\displaystyle I=(f)} . If f = 0 {\displaystyle f=0} we

Pythagorean triple (11,502 words) [view diff] exact match in snippet view article find links to article

(m+ni)^{2}=(m^{2}-n^{2})+2mni.} Using the facts that the Gaussian integers are a Euclidean domain and that for a Gaussian integer p | p | 2 {\displaystyle |p|^{2}} is

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

and the special Whitehead group: K1(A) ≅ A* ⊕ SK1 (A). When A is a Euclidean domain (e.g. a field, or the integers) SK1(A) vanishes, and the determinant