diagonalization
/daɪˌæɡənələˈzeɪʃən/
noun
- The process of arranging numbers or symbols in a diagonal line, especially in mathematics or computing.
- In linear algebra, diagonalization simplifies complex calculations by turning a matrix into a diagonal form.
- The student learned diagonalization as a key technique for eigenvalue problems.
- The diagonalization of the matrix made it easier to solve the system of equations.
- A method used in logic and computer science to prove that certain sets are uncountable or that certain problems are undecidable, often associated with Cantor's diagonal argument.
- Cantor's diagonalization showed that there are more real numbers than integers.
- Diagonalization is a fundamental proof technique in theoretical computer science.
- The professor explained diagonalization as a way to demonstrate that some infinite sets are larger than others.
- The act of placing something in a diagonal position or arrangement.
- For the art project, the diagonalization of the lines gave the drawing a sense of movement.
- The diagonalization of the tiles on the floor created a striking visual pattern.
- The designer suggested diagonalization of the shelves to make the room look more dynamic.