Dansk | Engelsk |
Lineær ligning | Linear equation |
Lineært ligningssystem | System of linear equations |
Lineært system | Linear system |
Variabel | Variable |
Ubekendte | Unknown |
Koefficienter | Coefficient |
Konstant led | Constant term |
Løsning til lineær ligning | Solution |
Løsning til lineært ligningssystem | |
Konsistent | Consisteint |
Inkonsistent | Inconsistent |
Matrix | Matrix |
Størrelse af matrix | Size of matrix |
Format af matrix | Size of matrix |
Rækker | Row |
Søjler | Column |
Element | Element |
Indgang | Entry |
Totalmatrix | Augmented matrix |
Udvidet matrix | Augmented matrix |
Elementære rækkeoperationer (ERO) | Elementary row operations |
Skalar | Scalar |
Trappeform | Row Ecehelon Form |
Række Echelon Form | Row Ecehelon Form |
REF | REF |
Nulrække | Zero row |
Ledende element | Leading entry |
Pivotelement | Pivot element |
Pivotsøjle | Pivot column |
Reduceret række echelon form | Reduced row echelon form |
Reduceret trappeform | Reduced Row echelon form |
RREF | RREF |
Bundne variable | Basic variable |
Frie variable | Free variable |
Gauss elimination | Gauss elimination |
Baglæns substitution | Back-substitution |
Matrix addition | Matrix addition |
Matrix multiplication med skalar | Matrix multiplication with scalar |
Nulmatrix | Zero matrix |
Transponering af matrix | Transposing of matrix |
Transponeret matrix | Transpose matrix |
Hoveddiagonal | Main diagonal |
Diagonal | Diagonal |
Søjlevektor | Column vector |
Rækkevektor | Row vector |
Koordinater | Coordinates |
Linearkombination | Linear combination |
Koefficienter | Coefficients |
Vægte | Weights |
Vektorligning | Vector equation |
Spænd | Span |
Udspænde | Span |
Generere | Generate |
Matrix-vektor produkt | Matrix vector product |
Nulvektor | Zero vector |
Koefficientmatrix | Coefficient matrix |
Parametriseret vektorform | Parametrised vector form |
Homogen | Homogeneous |
Inhomogen | Inhomogeneous |
Standardvektor | Standard unit vector |
Enhedsvektor | Unit vector |
Enhedsmatrix | Identity matrix |
Identitetsmatrix | Identity matrix |
Matrix multiplikation | Matrix multiplication |
Matrix produkt | Matrix product |
Kvadratisk matrix | Square matrix |
Potens af matrix | Power of matrix |
Undermatrix | Submatrix |
Den trivielle løsning | The trivial solution |
Trekantsmatrix | Triangular matrix |
Øvre trekantsmatrix | Upper triangular matrix |
Nedre trekantsmatrix | Lower triangular matrix |
Invers matrix | Inverse matrix |
Inverterbar | Invertible |
Invertibel | Invertible |
Entydig | Unique |
Determinant | Determinant |
Ikke-invertibel | Non-invertible |
Singulær | Singular |
Degenereret | Degenerate |
Elementære matrix | Elementary matrix |
Sædvanlig/ordinær differentialligning | Ordinary differential equation |
ODE (Ordinary differential equation) | ODE |
Afledte | Derivative |
N’te afledte | N’th derivative |
Stamfunktion | Antiderivative |
Løsning | Solution |
Partikulærløsning | Particular solution |
Fuldstændig/generelle løsning | General solution |
Integrationskonstanter | Integration constants |
1. ordens differentialligning | 1st order differential equation |
Eksplicit form af 1. ordens differentialligning | Explicit form of 1st order differential equation |
1. ordens differentialligning på implicit form | Implicit form of 1st order differential equation |
Separation af variable | Separation of variables |
Begyndelsesværdiproblem | Initial value problem |
Lineær 1. ordens differentialligning | Linear 1st order differential equation |
Standardform | Standard form |
Homogen | Homogeneous |
Inhomogen | Inhomogeneous |
Panserformlen | – |
2. ordens differentialligning | 2nd order differenetial equation |
Lineær 2. ordens differentialligning | Linear 2nd order differential euqation |
Lineær 2. ordens differentialligning med konstante koefficienter | Linear 2nd order differential equation with constant coefficients |
Homogen, lineær 2. ordens differentialligning med konstante koefficienter | Homogeneous, linear 2nd order differential equation with constant coefficients |
Karakteristisk ligning og dens rødder | Auxiliary equation and its roots |
Diskriminanten | Discriminant |
Linearkombination af funktioner | Linear combination of functions |
Lineært uafhængige funktioner | Linearly independent functions |
Løsnings base | Solution basis |
Inhomogen, lineær 2. ordens differentialligning med konstante koefficienter | Inhomogeneous, linear 2nd order differential equation with constant coefficients |
De ubestemte koefficienters metode/gættemetoden | Method of undetermined coefficients |
Superpositionsprincippet | Superposition principle |
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