Diagonalization is an English word with synonyms like resolution or resolving. Below you'll find 3 example sentences showing how it's used in practice.
Diagonalization in a sentence
Diagonalization meaning
US spelling of diagonalisation.
Synonyms of Diagonalization
Using Diagonalization
- The main meaning on this page is: US spelling of diagonalisation.
- Useful related words include: diagonalisation, resolution, resolving.
Context around Diagonalization
- Average sentence length in these examples: 28 words
- Position in the sentence: 2 start, 1 middle, 0 end
- Sentence types: 3 statements, 0 questions, 0 exclamations
Corpus analysis for Diagonalization
- In this selection, "diagonalization" usually appears near the start of the sentence. The average example has 28 words, and this corpus slice is mostly made up of statements.
- Around the word, simultaneous and proof stand out and add context to how "diagonalization" is used.
- Recognizable usage signals include a simultaneous diagonalization of two and diagonalization the next. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "diagonalization" sits close to words such as aaaaand, aaah and aacl, which helps place it inside the broader word index.
Example types with diagonalization
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Diagonalization The next step in the proof is to obtain a statement which, indirectly, asserts its own unprovability. (18 words)
Our result here is more akin to a simultaneous diagonalization of two quadratic forms, and is useful for optimization of one form under conditions on the other. (27 words)
The diagonalization proof technique can also be used to show that several other sets are uncountable, such as the set of all infinite sequences of natural numbers and the set of all subsets of the set of natural numbers. (39 words)
The diagonalization proof technique can also be used to show that several other sets are uncountable, such as the set of all infinite sequences of natural numbers and the set of all subsets of the set of natural numbers. (39 words)
Our result here is more akin to a simultaneous diagonalization of two quadratic forms, and is useful for optimization of one form under conditions on the other. (27 words)
Diagonalization The next step in the proof is to obtain a statement which, indirectly, asserts its own unprovability. (18 words)
Example sentences (3)
Diagonalization The next step in the proof is to obtain a statement which, indirectly, asserts its own unprovability.
Our result here is more akin to a simultaneous diagonalization of two quadratic forms, and is useful for optimization of one form under conditions on the other.
The diagonalization proof technique can also be used to show that several other sets are uncountable, such as the set of all infinite sequences of natural numbers and the set of all subsets of the set of natural numbers.