Plancherel is an English word starting with the letter P. With 5 example sentences you'll see exactly how it works in context.
Plancherel in a sentence
Using Plancherel
- In the example corpus, plancherel often appears in combinations such as: plancherel theorem.
Context around Plancherel
- Average sentence length in these examples: 21.2 words
- Position in the sentence: 2 start, 2 middle, 1 end
- Sentence types: 5 statements, 0 questions, 0 exclamations
Corpus analysis for Plancherel
- In this selection, "plancherel" usually appears near the start of the sentence. The average example has 21.2 words, and this corpus slice is mostly made up of statements.
- Around the word, orthogonality, theorem and parseval stand out and add context to how "plancherel" is used.
- Recognizable usage signals include as do plancherel s and and completeness orthogonality plancherel parseval periodicity. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "plancherel" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.
Example types with plancherel
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Plancherel's theorem has the interpretation in the sciences that the Fourier transform preserves the energy of the original quantity. (20 words)
Without loss of generality, assume that f(x) is normalized: : It follows from the Plancherel theorem that is also normalized. (20 words)
Such properties include the completeness, orthogonality, Plancherel/Parseval, periodicity, shift, convolution, and unitarity properties above, as well as many FFT algorithms. (21 words)
Plancherel theorem is a special case of the Parseval's theorem and states: : These theorems are also equivalent to the unitary condition below. (23 words)
All of the basic properties listed above hold for the n-dimensional Fourier transform, as do Plancherel's and Parseval's theorem. (22 words)
Such properties include the completeness, orthogonality, Plancherel/Parseval, periodicity, shift, convolution, and unitarity properties above, as well as many FFT algorithms. (21 words)
Example sentences (5)
All of the basic properties listed above hold for the n-dimensional Fourier transform, as do Plancherel's and Parseval's theorem.
Plancherel's theorem has the interpretation in the sciences that the Fourier transform preserves the energy of the original quantity.
Plancherel theorem is a special case of the Parseval's theorem and states: : These theorems are also equivalent to the unitary condition below.
Such properties include the completeness, orthogonality, Plancherel/Parseval, periodicity, shift, convolution, and unitarity properties above, as well as many FFT algorithms.
Without loss of generality, assume that f(x) is normalized: : It follows from the Plancherel theorem that is also normalized.
Common combinations with plancherel
These word pairs occur most frequently in English texts: