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 .
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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 catbird’s 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 (1879–1955)
“The bud of the apple is desire, the down-falling gold,
The catbird’s 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 (1879–1955)
“From cradle to grave this problem of running order through chaos, direction through space, discipline through freedom, unity through multiplicity, has always been, and must always be, the task of education, as it is the moral of religion, philosophy, science, art, politics and economy; but a boy’s will is his life, and he dies when it is broken, as the colt dies in harness, taking a new nature in becoming tame.”
—Henry Brooks Adams (1838–1918)
“All finite things reveal infinitude:”
—Theodore Roethke (1908–1963)
“Over the tree-tops I float thee a song,
Over the rising and sinking waves, over the myriad fields and the
prairies wide,
Over the dense-packed cities all and the teeming wharves and ways,
I float this carol with joy, with joy to thee, O death,”
—Walt Whitman (1819–1892)