Crossword-Solution: ABELIAN
Dictionary
| Word | Word Type | Definition |
|---|---|---|
| Abelian | n. | Alt. of Abelonian |
We have 1 clue for the answer “ABELIAN”
| Clue | Answers |
|---|---|
| Kind of math function | 1 answer |
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Hint 1 meaning
The superficial contents of any figure; the surface included
within any given lines; superficial extent; as, the area of a square or
a triangle.
Hint 2 anagram
RAEA
Hint 3 another clue
CERTAIN BRAIN SIZE
27 +1
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Sentences with ABELIAN (5)
The theta functions are referred to only once, and the principles of the theory of Abelian Functions have been illustrated only by the developments given for elliptic functions.
The totality of the self-conjugate operations of a group forms a self-conjugate Abelian subgroup, each of whose operations is permutable with every operation of the group.
For a group which is not Abelian no general law can be stated as to the existence or non-existence of a subgroup whose order is an arbitrarily assigned factor of the order of the group.
Observe that the radical, square root of a quartic function, is connected with the theory of elliptic functions, and the radical, square root of a sextic function, with that of the first kind of Abelian functions, but that the next kind of Abelian functions does not depend on the radical, square root of an octic function.
Considerations such as these have been used for determining the series of values of the independent variable, and the irrational functions thereof in the theory of Abelian integrals, but the theory seems to be worthy of further investigation.
Where this answer appears
Appears in: LAT.
Used 1 time in crossword archives (2003).