Explore Hankel through 7 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.
Hankel in a sentence
Hankel meaning
A surname from German.
Using Hankel
- The main meaning on this page is: A surname from German.
- In the example corpus, hankel often appears in combinations such as: hankel functions, the hankel.
Context around Hankel
- Average sentence length in these examples: 20.3 words
- Position in the sentence: 3 start, 2 middle, 2 end
- Sentence types: 7 statements, 0 questions, 0 exclamations
Corpus analysis for Hankel
- In this selection, "hankel" usually appears near the start of the sentence. The average example has 20.3 words, and this corpus slice is mostly made up of statements.
- Around the word, wayne, hermann, functions, fargo and doesn stand out and add context to how "hankel" is used.
- Recognizable usage signals include and wayne hankel fargo were and by hermann hankel in 1861. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "hankel" sits close to words such as aaba, aafc and aaib, which helps place it inside the broader word index.
Example types with hankel
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
See also the subsection on Hankel functions below. (8 words)
Hankel doesn't mention the author of the theorem. (9 words)
The late Erwin Klusmann, New Salem, N.D., and Wayne Hankel, Fargo, were the Hall of Fame inductees. (18 words)
Stokes set the theorem as a question on the 1854 Smith's Prize exam, which led to the result bearing his name, even though it was actually first published by Hermann Hankel in 1861. (34 words)
The Hankel functions are used to express outward- and inward-propagating cylindrical wave solutions of the cylindrical wave equation, respectively (or vice versa, depending on the sign convention for the frequency ). (31 words)
The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions. (22 words)
Example sentences (7)
The late Erwin Klusmann, New Salem, N.D., and Wayne Hankel, Fargo, were the Hall of Fame inductees.
Hankel doesn't mention the author of the theorem.
See also the subsection on Hankel functions below.
Stokes set the theorem as a question on the 1854 Smith's Prize exam, which led to the result bearing his name, even though it was actually first published by Hermann Hankel in 1861.
The Bessel function of the second kind then can be thought to naturally appear as the imaginary part of the Hankel functions.
The Hankel functions are used to express outward- and inward-propagating cylindrical wave solutions of the cylindrical wave equation, respectively (or vice versa, depending on the sign convention for the frequency ).
The importance of Hankel functions of the first and second kind lies more in theoretical development rather than in application.
Common combinations with hankel
These word pairs occur most frequently in English texts: