Translation for "on skalaari" to english

On skalaari

• is a scalar

Translation examples

is a scalar

Fysiikassa esimerkiksi nopeus on vektorisuure, ja sen itseisarvo, vauhti, on skalaari.
In physics, speed is a scalar quantity and velocity is a vector.

Sitä vastoin impulssimomentti L on aksiaalinen vektori L = r × p, P(L) = (–r) × (–p) = L. Klassisessa sähköopissa varaustiheys ρ on skalaari, sähkökenttä E, ja virrantiheys j polaarisia vektoreita, mutta magneettikenttä H on aksiaalinen vektori.
In classical electrodynamics, the charge density ρ {\displaystyle \rho } is a scalar, the electric field, E → {\displaystyle {\vec {E}}} , and current j → {\displaystyle {\vec {j}}} are vectors, but the magnetic field, H → {\displaystyle {\vec {H}}} is an axial vector.

Kanta voidaan esittää rivivektoreina: e 0 = ( 1 0 0 0 ) , e 1 = ( 0 1 0 0 ) , e 2 = ( 0 0 1 0 ) , e 3 = ( 0 0 0 1 ) {\displaystyle \mathbf {e} ^{0}={\begin{pmatrix}1&0&0&0\end{pmatrix}}\,,\quad \mathbf {e} ^{1}={\begin{pmatrix}0&1&0&0\end{pmatrix}}\,,\quad \mathbf {e} ^{2}={\begin{pmatrix}0&0&1&0\end{pmatrix}}\,,\quad \mathbf {e} ^{3}={\begin{pmatrix}0&0&0&1\end{pmatrix}}} niin että: A = ( A 0 A 1 A 2 A 3 ) {\displaystyle \mathbf {A} ={\begin{pmatrix}A_{0}&A_{1}&A_{2}&A_{3}\end{pmatrix}}} Perusteena näille merkintätavoille on se, että sisätulo on skalaari.
The bases can be represented by row vectors: E 0 = ( 1 0 0 0 ) , E 1 = ( 0 1 0 0 ) , E 2 = ( 0 0 1 0 ) , E 3 = ( 0 0 0 1 ) {\displaystyle \mathbf {E} ^{0}={\begin{pmatrix}1&0&0&0\end{pmatrix}}\,,\quad \mathbf {E} ^{1}={\begin{pmatrix}0&1&0&0\end{pmatrix}}\,,\quad \mathbf {E} ^{2}={\begin{pmatrix}0&0&1&0\end{pmatrix}}\,,\quad \mathbf {E} ^{3}={\begin{pmatrix}0&0&0&1\end{pmatrix}}} so that: A = ( A 0 A 1 A 2 A 3 ) {\displaystyle \mathbf {A} ={\begin{pmatrix}A_{0}&A_{1}&A_{2}&A_{3}\end{pmatrix}}} The motivation for the above conventions are that the inner product is a scalar, see below for details.