Explore Bessel through 10+ example sentences from English, with an explanation of the meaning and related words like mathematician or astronomer. Ideal for language learners, writers and word enthusiasts.
Bessel in a sentence
Bessel meaning
A surname.
Synonyms of Bessel
Using Bessel
- The main meaning on this page is: A surname.
- Useful related words include: friedrich wilhelm bessel, mathematician, astronomer, uranologist.
- In the example corpus, bessel often appears in combinations such as: bessel functions, the bessel, bessel function.
Context around Bessel
- Average sentence length in these examples: 21.6 words
- Position in the sentence: 10 start, 5 middle, 5 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Bessel
- In this selection, "bessel" usually appears near the start of the sentence. The average example has 21.6 words, and this corpus slice is mostly made up of statements.
- Around the word, friedrich, using, wilhelm, functions, hagen and function stand out and add context to how "bessel" is used.
- Recognizable usage signals include 1 see bessel s correction and 1834 friedrich bessel observed changes. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "bessel" sits close to words such as aar, abdulla and abimbola, which helps place it inside the broader word index.
Example types with bessel
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Chapter 9 deals with Bessel functions. (6 words)
Bessel had two sons and three daughters. (7 words)
Asymptotic forms The Bessel functions have the following asymptotic forms. (10 words)
He was selflessly supported at this time by Erich Bessel-Hagen, a loyal friend to the Hausdorff family who obtained books and magazines from the Library of the Institute, which Hausdorff was no longer allowed to enter as a Jew. (40 words)
Bessel functions For the case of a carrier modulated by a single sine wave, the resulting frequency spectrum can be calculated using Bessel functions of the first kind, as a function of the sideband number and the modulation index. (39 words)
About the humiliations to which Hausdorff and his family especially were exposed to after Kristallnacht in 1938, much is known and from many different sources, such as from the letters of Bessel-Hagen. (33 words)
Example sentences (20)
Bessel functions For the case of a carrier modulated by a single sine wave, the resulting frequency spectrum can be calculated using Bessel functions of the first kind, as a function of the sideband number and the modulation index.
These linear combinations are also known as Bessel functions of the third kind; they are two linearly independent solutions of Bessel's differential equation.
Sharing the same space as the Carinae system, it can be found between the Andraste systems and the Bessel/Piazza cluster.
A Bessel filter (not shown) has an even poorer transition in the frequency domain, but maintains the best phase fidelity of a waveform.
About the humiliations to which Hausdorff and his family especially were exposed to after Kristallnacht in 1938, much is known and from many different sources, such as from the letters of Bessel-Hagen.
Asymptotic forms The Bessel functions have the following asymptotic forms.
Bessel also showed that if the pendulum was made symmetrical in form about its center, but was weighted internally at one end, the errors due to air drag would cancel out.
Bessel functions are therefore especially important for many problems of wave propagation and static potentials.
Bessel had two sons and three daughters.
Bessel is responsible for the correction to the formula for the sample variance estimator named in his honour.
Bessel roughly estimated the period of the companion of Sirius to be about half a century; C. A. F. Peters computed an orbit for it in 1851.
Chapter 9 deals with Bessel functions.
E. Neuenschwander discovered in the estate of Bessel-Hagen the farewell letter that Hausdorff wrote to his Jewish lawyer Hans Wollstein.
Friedrich Wilhelm Bessel made a notable contribution in 1812 when he used a different method to measure distance.
He was selflessly supported at this time by Erich Bessel-Hagen, a loyal friend to the Hausdorff family who obtained books and magazines from the Library of the Institute, which Hausdorff was no longer allowed to enter as a Jew.
In 1764, Euler examined the partial differential equation for the vibration of a circular drum and found one of the Bessel function solutions.
In 1834, Friedrich Bessel observed changes in the proper motion of the star Sirius and inferred a hidden companion.
In 1844 Friedrich Bessel deduced that Sirius was a binary.
In normal unweighted samples, the N in the denominator (corresponding to the sample size) is changed to N 1 (see Bessel's correction ).
In this case, the second linearly independent solution is then found to be the Bessel function of the second kind, as discussed below.
Common combinations with bessel
These word pairs occur most frequently in English texts: