Translation for "skalaarifunktio" to english

Skalaarifunktio

• scalar function

Translation examples

scalar function

Microsoft Access SQL tukee ODBC-syntaksia skalaarifunktiot varten.
Microsoft Access SQL supports the use of the ODBC defined syntax for scalar functions.

Missä tahansa useampi­ulotteisessa avaruudessa, jossa on ei-degeneroitu muoto, skalaarifunktionn gradientti on vektorikenttä ja vektorikentän divergenssi skalaarifunktio, mutta vain 3 ja 7 ulottuvuudessa (sekä triviaalisti 0 ulottuvuudessa) vektorikentän roottori on vektorikenttä, ja vain kolmi- tai seitsenulotteisessa avaruudessa voidaan vektorien ristitulo määritellä.
In any dimension, assuming a nondegenerate form, grad of a scalar function is a vector field, and div of a vector field is a scalar function, but only in dimension 3 or 7 (and, trivially, in dimension 0 or 1) is the curl of a vector field a vector field, and only in 3 or 7 dimensions can a cross product be defined (generalizations in other dimensionalities either require n − 1 {\displaystyle n-1} vectors to yield 1 vector, or are alternative Lie algebras, which are more general antisymmetric bilinear products).

Jos kolmiulotteinen vektorikenttä v {\textstyle \mathbf {v} } on pyörteetön, ts. ∇ × v = 0 {\displaystyle \nabla \times \mathbf {v} =0} , niin on olemassa skalaarifunktio ϕ ( x , y , z ) {\textstyle \phi (x,y,z)} siten, että v = ∇ ϕ {\displaystyle \mathbf {v} =\nabla \phi } .
Since the vorticity vector ω {\displaystyle {\boldsymbol {\omega }}} and the velocity vector v {\displaystyle \mathbf {v} } are parallel to each other, we can write ω × v = 0 , ω = α ( x , t ) v , {\displaystyle {\boldsymbol {\omega }}\times \mathbf {v} =0,\quad {\boldsymbol {\omega }}=\alpha (\mathbf {x} ,t)\mathbf {v} ,} where α ( x , t ) {\displaystyle \alpha (\mathbf {x} ,t)} is some scalar function.