{"id":88,"date":"2020-11-04T22:52:18","date_gmt":"2020-11-04T22:52:18","guid":{"rendered":"https:\/\/www.roenby.com\/?page_id=88"},"modified":"2020-11-08T23:14:53","modified_gmt":"2020-11-08T23:14:53","slug":"mmm-begreber","status":"publish","type":"page","link":"https:\/\/www.roenby.com\/?page_id=88","title":{"rendered":"MMM begreber"},"content":{"rendered":"\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Dansk<\/td><td>Engelsk<\/td><\/tr><tr><td>Line\u00e6r ligning<\/td><td>Linear equation<\/td><\/tr><tr><td>Line\u00e6rt ligningssystem<\/td><td>System of linear equations<\/td><\/tr><tr><td>Line\u00e6rt system<\/td><td>Linear system<\/td><\/tr><tr><td>Variabel<\/td><td>Variable<\/td><\/tr><tr><td>Ubekendte<\/td><td>Unknown<\/td><\/tr><tr><td>Koefficienter<\/td><td>Coefficient<\/td><\/tr><tr><td>Konstant led<\/td><td>Constant term<\/td><\/tr><tr><td>L\u00f8sning til line\u00e6r ligning<\/td><td>Solution<\/td><\/tr><tr><td>L\u00f8sning til line\u00e6rt ligningssystem<\/td><td>&nbsp;<\/td><\/tr><tr><td>Konsistent<\/td><td>Consisteint<\/td><\/tr><tr><td>Inkonsistent<\/td><td>Inconsistent<\/td><\/tr><tr><td>Matrix<\/td><td>Matrix<\/td><\/tr><tr><td>St\u00f8rrelse af matrix<\/td><td>Size of matrix<\/td><\/tr><tr><td>Format af matrix<\/td><td>Size of matrix<\/td><\/tr><tr><td>R\u00e6kker<\/td><td>Row<\/td><\/tr><tr><td>S\u00f8jler<\/td><td>Column<\/td><\/tr><tr><td>Element<\/td><td>Element<\/td><\/tr><tr><td>Indgang<\/td><td>Entry<\/td><\/tr><tr><td>Totalmatrix<\/td><td>Augmented matrix<\/td><\/tr><tr><td>Udvidet matrix<\/td><td>Augmented matrix<\/td><\/tr><tr><td>Element\u00e6re r\u00e6kkeoperationer (ERO)<\/td><td>Elementary row operations<\/td><\/tr><tr><td>Skalar<\/td><td>Scalar<\/td><\/tr><tr><td>Trappeform<\/td><td>Row Ecehelon Form<\/td><\/tr><tr><td>R\u00e6kke Echelon Form<\/td><td>Row Ecehelon Form<\/td><\/tr><tr><td>REF<\/td><td>REF<\/td><\/tr><tr><td>Nulr\u00e6kke<\/td><td>Zero row<\/td><\/tr><tr><td>Ledende element<\/td><td>Leading entry<\/td><\/tr><tr><td>Pivotelement<\/td><td>Pivot element<\/td><\/tr><tr><td>Pivots\u00f8jle<\/td><td>Pivot column<\/td><\/tr><tr><td>Reduceret r\u00e6kke echelon form<\/td><td>Reduced row echelon form<\/td><\/tr><tr><td>Reduceret trappeform<\/td><td>Reduced Row echelon form<\/td><\/tr><tr><td>RREF<\/td><td>RREF<\/td><\/tr><tr><td>Bundne variable<\/td><td>Basic variable<\/td><\/tr><tr><td>Frie variable<\/td><td>Free variable<\/td><\/tr><tr><td>Gauss elimination<\/td><td>Gauss elimination<\/td><\/tr><tr><td>Bagl\u00e6ns substitution<\/td><td>Back-substitution<\/td><\/tr><tr><td>Matrix addition<\/td><td>Matrix addition<\/td><\/tr><tr><td>Matrix multiplication med skalar<\/td><td>Matrix multiplication with scalar<\/td><\/tr><tr><td>Nulmatrix<\/td><td>Zero matrix<\/td><\/tr><tr><td>Transponering af matrix<\/td><td>Transposing of matrix<\/td><\/tr><tr><td>Transponeret matrix<\/td><td>Transpose matrix<\/td><\/tr><tr><td>Hoveddiagonal<\/td><td>Main diagonal<\/td><\/tr><tr><td>Diagonal<\/td><td>Diagonal<\/td><\/tr><tr><td>S\u00f8jlevektor<\/td><td>Column vector<\/td><\/tr><tr><td>R\u00e6kkevektor<\/td><td>Row vector<\/td><\/tr><tr><td>Koordinater<\/td><td>Coordinates<\/td><\/tr><tr><td>Linearkombination<\/td><td>Linear combination<\/td><\/tr><tr><td>Koefficienter<\/td><td>Coefficients<\/td><\/tr><tr><td>V\u00e6gte<\/td><td>Weights<\/td><\/tr><tr><td>Vektorligning<\/td><td>Vector equation<\/td><\/tr><tr><td>Sp\u00e6nd<\/td><td>Span<\/td><\/tr><tr><td>Udsp\u00e6nde<\/td><td>Span<\/td><\/tr><tr><td>Generere<\/td><td>Generate<\/td><\/tr><tr><td>Matrix-vektor produkt<\/td><td>Matrix vector product<\/td><\/tr><tr><td>Nulvektor<\/td><td>Zero vector<\/td><\/tr><tr><td>Koefficientmatrix<\/td><td>Coefficient matrix<\/td><\/tr><tr><td>Parametriseret vektorform<\/td><td>Parametrised vector form<\/td><\/tr><tr><td>Homogen<\/td><td>Homogeneous<\/td><\/tr><tr><td>Inhomogen<\/td><td>Inhomogeneous<\/td><\/tr><tr><td>Standardvektor<\/td><td>Standard unit vector<\/td><\/tr><tr><td>Enhedsvektor<\/td><td>Unit vector<\/td><\/tr><tr><td>Enhedsmatrix<\/td><td>Identity matrix<\/td><\/tr><tr><td>Identitetsmatrix<\/td><td>Identity matrix<\/td><\/tr><tr><td>Matrix multiplikation<\/td><td>Matrix multiplication<\/td><\/tr><tr><td>Matrix produkt<\/td><td>Matrix product<\/td><\/tr><tr><td>Kvadratisk matrix<\/td><td>Square matrix<\/td><\/tr><tr><td>Potens af matrix<\/td><td>Power of matrix<\/td><\/tr><tr><td>Undermatrix<\/td><td>Submatrix<\/td><\/tr><tr><td>Den trivielle l\u00f8sning<\/td><td>The trivial solution<\/td><\/tr><tr><td>Trekantsmatrix<\/td><td>Triangular matrix<\/td><\/tr><tr><td>\u00d8vre trekantsmatrix<\/td><td>Upper triangular matrix<\/td><\/tr><tr><td>Nedre trekantsmatrix<\/td><td>Lower triangular matrix<\/td><\/tr><tr><td>Invers matrix<\/td><td>Inverse matrix<\/td><\/tr><tr><td>Inverterbar<\/td><td>Invertible<\/td><\/tr><tr><td>Invertibel<\/td><td>Invertible<\/td><\/tr><tr><td>Entydig<\/td><td>Unique<\/td><\/tr><tr><td>Determinant<\/td><td>Determinant<\/td><\/tr><tr><td>Ikke-invertibel<\/td><td>Non-invertible<\/td><\/tr><tr><td>Singul\u00e6r<\/td><td>Singular<\/td><\/tr><tr><td>Degenereret<\/td><td>Degenerate<\/td><\/tr><tr><td>Element\u00e6re matrix<\/td><td>Elementary matrix<\/td><\/tr><tr><td>S\u00e6dvanlig\/ordin\u00e6r differentialligning<\/td><td>Ordinary differential equation<\/td><\/tr><tr><td>ODE (Ordinary differential equation)<\/td><td>ODE<\/td><\/tr><tr><td>Afledte<\/td><td>Derivative<\/td><\/tr><tr><td>N\u2019te afledte<\/td><td>N\u2019th derivative<\/td><\/tr><tr><td>Stamfunktion<\/td><td>Antiderivative<\/td><\/tr><tr><td>L\u00f8sning<\/td><td>Solution<\/td><\/tr><tr><td>Partikul\u00e6rl\u00f8sning<\/td><td>Particular solution<\/td><\/tr><tr><td>Fuldst\u00e6ndig\/generelle l\u00f8sning<\/td><td>General solution<\/td><\/tr><tr><td>Integrationskonstanter<\/td><td>Integration constants<\/td><\/tr><tr><td>1. ordens differentialligning<\/td><td>1st order differential equation<\/td><\/tr><tr><td>Eksplicit form af 1. ordens differentialligning<\/td><td>Explicit form of 1st order differential equation<\/td><\/tr><tr><td>1. ordens differentialligning p\u00e5 implicit form<\/td><td>Implicit form of 1st order differential equation<\/td><\/tr><tr><td>Separation af variable<\/td><td>Separation of variables<\/td><\/tr><tr><td>Begyndelsesv\u00e6rdiproblem<\/td><td>Initial value problem<\/td><\/tr><tr><td>Line\u00e6r 1. ordens differentialligning<\/td><td>Linear 1st order differential equation<\/td><\/tr><tr><td>Standardform<\/td><td>Standard form<\/td><\/tr><tr><td>Homogen<\/td><td>Homogeneous<\/td><\/tr><tr><td>Inhomogen<\/td><td>Inhomogeneous<\/td><\/tr><tr><td>Panserformlen<\/td><td>&#8211;<\/td><\/tr><tr><td>2. ordens differentialligning<\/td><td>2nd order differenetial equation<\/td><\/tr><tr><td>Line\u00e6r 2. ordens differentialligning<\/td><td>Linear 2nd order differential euqation<\/td><\/tr><tr><td>Line\u00e6r 2. ordens differentialligning med konstante koefficienter<\/td><td>Linear 2nd order differential equation with constant coefficients<\/td><\/tr><tr><td>Homogen, line\u00e6r 2. ordens differentialligning med konstante koefficienter<\/td><td>Homogeneous, linear 2nd order differential equation with constant coefficients<\/td><\/tr><tr><td>Karakteristisk ligning og dens r\u00f8dder<\/td><td>Auxiliary equation and its roots<\/td><\/tr><tr><td>Diskriminanten<\/td><td>Discriminant<\/td><\/tr><tr><td>Linearkombination af funktioner<\/td><td>Linear combination of functions<\/td><\/tr><tr><td>Line\u00e6rt uafh\u00e6ngige funktioner<\/td><td>Linearly independent functions<\/td><\/tr><tr><td>L\u00f8snings base<\/td><td>Solution basis<\/td><\/tr><tr><td>Inhomogen, line\u00e6r 2. ordens differentialligning med konstante koefficienter<\/td><td>Inhomogeneous, linear 2nd order differential equation with constant coefficients<\/td><\/tr><tr><td>De ubestemte koefficienters metode\/g\u00e6ttemetoden<\/td><td>Method of undetermined coefficients<\/td><\/tr><tr><td>Superpositionsprincippet<\/td><td>Superposition principle<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><tr><td>&nbsp;<\/td><td>&nbsp;<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dansk Engelsk Line\u00e6r ligning Linear equation Line\u00e6rt ligningssystem System of linear equations Line\u00e6rt system Linear system Variabel Variable Ubekendte Unknown Koefficienter Coefficient Konstant led Constant term L\u00f8sning til line\u00e6r ligning Solution L\u00f8sning til line\u00e6rt ligningssystem &nbsp; Konsistent Consisteint Inkonsistent Inconsistent &hellip; <a 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