transpose
/træns'pouz/
Học thuậtThân thiện
Definition
Verb:
- To change the order or arrangement of two or more items: This is the most general meaning, referring to swapping the positions of elements.
- To transfer a term in mathematics: In algebra, to move a quantity from one side of an equation to the other, reversing its sign to maintain equality.
- To change the key of a piece of music: In music, to rewrite or perform a composition in a different key.
- To transfer or shift something from one context or place to another: To move an idea, story, or object from its original setting to a new one.
Noun:
- A matrix with rows and columns interchanged: In mathematics, a matrix formed from a given one by interchanging its rows and columns.
Usage Examples
Verb:
- Dyslexics often transpose letters in a word. (They swap the order of letters.)
- You must transpose the variable to the other side of the equation to solve for x. (Move the term across the equals sign.)
- Can you transpose this fugue into G major? (Rewrite the music in the key of G major.)
- The director transposed the classic play to a modern city setting. (Transferred the story to a new context.)
Noun:
- The transpose of the matrix is calculated by swapping its rows and columns. (The resulting interchanged matrix.)
Advanced Usage
"Transpose of a matrix": A fundamental operation in linear algebra where the rows and columns of a matrix are switched.
- Finding the transpose is the first step in many matrix operations.
"Transpose for": To exchange or substitute one thing for another.
- The mechanic said he needed to transpose the old part for a new one.
Variants and Related Words
Transposition (n): The act or result of transposing.
- The transposition of the two chapters improved the book's flow.
Transposable (adj): Capable of being transposed.
- These musical themes are transposable to any key.
Synonyms
- Swap: To exchange two items.
- Reverse: To turn something to the opposite position or order.
- Transfer: To move from one place to another.
Related Phrasal Verbs / Constructions
Transpose into: To change something into a different form or key.
- The composer transposed the melody into a minor key.
Transpose with: To exchange one item for another.
- You can transpose this component with a compatible model.
Related Idioms
Noun
- a matrix formed by interchanging the rows and columns of a given matrix
Verb
- change key
- Can you transpose this fugue into G major?
- exchange positions without a change in value
- These operators commute with each other
- put (a piece of music) into another key
- transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
- cause to change places
- interchange this screw for one of a smaller size
- transfer from one place or period to another
- The ancient Greek story was transplanted into Modern America
- change the order or arrangement of
- Dyslexics often transpose letters in a word