Root of Unity in Finite Fields
If is a finite field and is a positive integer then a th-root of unity in is a solution of the equation in .
Read more about this topic: Root Of Unity
Famous quotes containing the words root of, root, unity, finite and/or fields:
“The bud of the apple is desire, the down-falling gold,
The catbirds gobble in the morning half-awake
These are real only if I make them so. Whistle
For me, grow green for me and, as you whistle and grow green,
Intangible arrows quiver and stick in the skin
And I taste at the root of the tongue the unreal of what is real.”
—Wallace Stevens (18791955)
“Not marble nor the gilded monuments
Of princes shall outlive this powerful rime;
But you shall shine more bright in these contents
Than unswept stone, besmeared with sluttish time.
When wasteful war shall statues overturn,
And broils root out the work of masonry,
Nor Mars his sword nor wars quick fire shall burn
The living record of your memory.”
—William Shakespeare (15641616)
“Jesus abolished the very concept of guiltMhe denied any cleavage between God and man. He lived this unity of God and man as his glad tidings ... and not as a prerogative!”
—Friedrich Nietzsche (18441900)
“Any language is necessarily a finite system applied with different degrees of creativity to an infinite variety of situations, and most of the words and phrases we use are prefabricated in the sense that we dont coin new ones every time we speak.”
—David Lodge (b. 1935)
“Gone are the days when my heart was young and gay,
Gone are my friends from the cotton fields away,
Gone from the earth to a better land I know,
I hear their gentle voices calling Old Black Joe.”
—Stephen Collins Foster (18261864)