How do you use Cayley in a sentence? See 10+ example sentences showing how this word appears in different contexts, plus the exact meaning.
Cayley in a sentence
Cayley meaning
- A surname from Old French of Norman origin from a place name Cailly in France.
- A hamlet in Foothills County, southern Alberta, Canada.
Using Cayley
- The main meaning on this page is: A surname from Old French of Norman origin from a place name Cailly in France. | A hamlet in Foothills County, southern Alberta, Canada.
- In the example corpus, cayley often appears in combinations such as: the cayley, cayley dickson, arthur cayley.
Context around Cayley
- Average sentence length in these examples: 22.9 words
- Position in the sentence: 9 start, 5 middle, 6 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Cayley
- In this selection, "cayley" usually appears near the start of the sentence. The average example has 22.9 words, and this corpus slice is mostly made up of statements.
- Around the word, arthur, songwriter, staff, dickson, numbers and algebra stand out and add context to how "cayley" is used.
- Recognizable usage signals include cayley dickson construction and 1839 and cayley began their. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "cayley" sits close to words such as abstention, acadiana and actuarial, which helps place it inside the broader word index.
Example types with cayley
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Despite the best efforts of medical staff, Cayley was gone. (10 words)
Cayley never accepted Klein's argument, believing it to be circular. (11 words)
About the time of Jacobi's last memoirs, Sylvester (1839) and Cayley began their work. (15 words)
Cayley–Dickson construction details All of the Clifford algebras Cℓ p,q (R) apart from the real numbers, complex numbers and the quaternions contain non-real elements that square to +1; and so cannot be division algebras. (37 words)
Arthur Cayley in 1879 in The Newton-Fourier imaginary problem was the first to notice the difficulties in generalizing Newton's method to complex roots of polynomials with degree greater than 2 and complex initial values. (36 words)
Cayley's theorem states that every group G is isomorphic to a subgroup of the symmetric group on the elements of G, as a group acts on itself faithfully by (left or right) multiplication. (34 words)
Example sentences (20)
Appendix reprinted in The Collected Mathematical Papers, Johnson Reprint Co., New York, 1963, p. 127 and are sometimes referred to as Cayley numbers or the Cayley algebra.
Cayley Dickson construction A more systematic way of defining the octonions is via the Cayley Dickson construction.
Yorkshire Air Ambulance (YAA) has seen the installation of a new public defibrillator outside its Cayley House head office, on South Lane, in Elland.
Edmonton singer/songwriter Cayley Thomas shared her debut EP, How Else Can I Tell You?, earlier this month.
Despite the best efforts of medical staff, Cayley was gone.
Kim recently celebrated Caitlyn's birthday in late October with siblings Kourtney Karashian, Kendall, Kylie - with Brandon and his pregnant girlfriend Cayley Stoker, as well as Sophia Hutchins.
Nineteenyear- old Cayley Mandadi took advantage of the weekend day to take a break from her studies at Trinity University to attend the Mala Luna music festival with her boyfriend, Mark Howerton.
Domaine showcases a diverse array of dimensions using several scenarios and esteemed choreographers such as Shannon Glover, Burnise Silvius, Cayley Hodson and Paige Sundelson.
About the time of Jacobi's last memoirs, Sylvester (1839) and Cayley began their work.
A celebrated result of nineteenth-century mathematicians Arthur Cayley and George Salmon states that there are exactly 27 straight lines that lie entirely on such a surface.
A convenient mnemonic for remembering the products of unit octonions is given by the diagram at the right, which represents the multiplication table of Cayley and Graves.
A glider designed by Cayley carried out the first true manned, controlled flight in 1853.
All hypercomplex number systems after sedenions that are based on the Cayley–Dickson construction contain zero divisors.
Arthur Cayley in 1879 in The Newton-Fourier imaginary problem was the first to notice the difficulties in generalizing Newton's method to complex roots of polynomials with degree greater than 2 and complex initial values.
Arthur Cayley noted that distance between points inside a conic could be defined in terms of logarithm and the projective cross-ratio function.
By the 1850s, a handful of other mathematicians such as Cayley and Grassman had also considered higher dimensions.
Cayley–Dickson construction details All of the Clifford algebras Cℓ p,q (R) apart from the real numbers, complex numbers and the quaternions contain non-real elements that square to +1; and so cannot be division algebras.
Cayley never accepted Klein's argument, believing it to be circular.
Cayley's theorem states that every group G is isomorphic to a subgroup of the symmetric group on the elements of G, as a group acts on itself faithfully by (left or right) multiplication.
Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object.
Common combinations with cayley
These word pairs occur most frequently in English texts:
- the cayley 10×
- cayley dickson 8×
- arthur cayley 4×
- cayley and 3×
- as cayley 2×
- and cayley 2×
- by cayley 2×
- cayley in 2×
- cayley graphs 2×
- george cayley 2×