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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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.”
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—Ralph Waldo Emerson (18031882)
“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 boys will is his life, and he dies when it is broken, as the colt dies in harness, taking a new nature in becoming tame.”
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“Are not all finite beings better pleased with motions relative than absolute?”
—Henry David Thoreau (18171862)
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—Ralph Waldo Emerson (18031882)