transpose background

transpose

/tɹɑːnsˈpəʊz/ /tɹænzˈpəʊz/ /ˈtɹɑːnspəʊz/ /ˈtɹænzpəʊz/

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noun

Transponierte

(adjective) In matrix mathematics, the resulting matrix, derived from performing a transpose operation on a given matrix.

Examples :

"The transpose of the student grades matrix showed how many students scored in each grade range. "

Die Transponierte der Notenmatrix der Schüler zeigte, wie viele Schüler in jedem Notenbereich punkteten.

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verb

Vertauschen, umstellen

To reverse or change the order of (two or more things); to swap or interchange.

Examples :

"The teacher asked the students to transpose the first and last sentences of the paragraph to improve its flow. "

Der Lehrer bat die Schüler, den ersten und letzten Satz des Absatzes zu vertauschen, um den Fluss zu verbessern.

action process math technical

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verb

Umschreiben, transponieren

To rewrite or perform (a piece) in another key.

Examples :

"The pianist transposed the familiar nursery rhyme into a higher key for the young children's recital. "

Der Pianist transponierte das bekannte Kinderlied für das Konzert der kleinen Kinder in eine höhere Tonart.

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verb

Umstellen, verschieben

To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.

Examples :

"In the equation "x + 5 = 10", you can transpose the 5 to the other side to get "x = 10 - 5". "

In der Gleichung "x + 5 = 10" können Sie die 5 auf die andere Seite verschieben, um "x = 10 - 5" zu erhalten.

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verb

Transponieren

To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.

Examples :

"To get the class average score for each student from the test results, the teacher had to transpose the data table, swapping rows and columns so student names became column headers and test names became row labels. "

Um den Klassendurchschnitt für jeden Schüler aus den Testergebnissen zu erhalten, musste der Lehrer die Datentabelle transponieren und Zeilen und Spalten tauschen, sodass die Namen der Schüler zu Spaltenüberschriften und die Testnamen zu Zeilenbeschriftungen wurden.

math technical computing

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verb

Umsetzen, in nationales Recht umsetzen

(chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.

Examples :

"The EU transposed the new environmental regulations into national laws, requiring all factories to reduce emissions. "

Die EU setzte die neuen Umweltvorschriften in nationales Recht um und verpflichtete alle Fabriken zur Emissionsreduzierung.

politics government law state nation

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adjective

Transponiert

(adjective) In matrix mathematics, a matrix with the characteristic of having been transposed from a given matrix.

Examples :

"The transpose matrix of the student scores had the rows and columns switched, showing the average score for each subject. "

Die transponierte Matrix der Schülerleistungen hatte vertauschte Zeilen und Spalten, die den Durchschnittswert für jedes Fach zeigten.

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noun

Transponieren

In matrix mathematics, the process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.

Examples :

"The transpose of the student grade matrix showed how many students received each possible grade in each subject. "

Die Transponierte der Notenmatrix der Schüler zeigte, wie viele Schüler in jedem Fach jede mögliche Note erhielten.