Get to know Quintic better with 9 real example sentences, the meaning.
Quintic in a sentence
Quintic meaning
Of or relating to the fifth degree, such as a quintic polynomial which has the form ax⁵+bx⁴+cx³+dx²+ex+f=0 (containing a term with the independent variable raised to the fifth power).
Using Quintic
- The main meaning on this page is: Of or relating to the fifth degree, such as a quintic polynomial which has the form ax⁵+bx⁴+cx³+dx²+ex+f=0 (containing a term with the independent variable raised to the fifth power).
- In the example corpus, quintic often appears in combinations such as: quintic equation, general quintic, quintic equations.
Context around Quintic
- Average sentence length in these examples: 23.6 words
- Position in the sentence: 2 start, 6 middle, 1 end
- Sentence types: 8 statements, 1 questions, 0 exclamations
Corpus analysis for Quintic
- In this selection, "quintic" usually appears in the middle of the sentence. The average example has 23.6 words, and this corpus slice is mostly made up of statements.
- Around the word, general, conquered, see, equation, equations and formula stand out and add context to how "quintic" is used.
- Recognizable usage signals include for a quintic equation yields and is no quintic formula that. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "quintic" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.
Example types with quintic
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Are they the conquered quintic equations or elliptic functions? (9 words)
During that time, Abel started working on the quintic equation in radicals. (12 words)
This is a result of Galois theory (see Quintic equations and the Abel–Ruffini theorem ). (15 words)
Since the Galois group of the general quintic equation is isomorphic to the symmetric group on five letters, and this normal subgroup is simple and non-abelian, the general quintic equation does not have a solution in radicals. (38 words)
The same method for a quintic equation yields a polynomial of degree 24, which does not simplify the problem, and in fact solutions to quintic equations in general cannot be expressed using only roots. (34 words)
The most famous contribution of this manuscript was a novel proof that there is no quintic formula – that is, that fifth and higher degree equations are not generally solvable by radicals. (31 words)
Are they the conquered quintic equations or elliptic functions? (9 words)
Example sentences (9)
Since the Galois group of the general quintic equation is isomorphic to the symmetric group on five letters, and this normal subgroup is simple and non-abelian, the general quintic equation does not have a solution in radicals.
The same method for a quintic equation yields a polynomial of degree 24, which does not simplify the problem, and in fact solutions to quintic equations in general cannot be expressed using only roots.
Are they the conquered quintic equations or elliptic functions?
During that time, Abel started working on the quintic equation in radicals.
For, in 1823, Abel had at last proved the impossibility of solving the quintic equation in radicals (now referred to as the Abel–Ruffini theorem ).
His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals.
The most famous contribution of this manuscript was a novel proof that there is no quintic formula – that is, that fifth and higher degree equations are not generally solvable by radicals.
This is a result of Galois theory (see Quintic equations and the Abel–Ruffini theorem ).
Zwiebach 2009, p. 8 A cross section of a quintic Calabi–Yau manifold Compactification is one way of modifying the number of dimensions in a physical theory.
Common combinations with quintic
These word pairs occur most frequently in English texts: