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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—Friedrich Nietzsche (1844–1900)
“Under an oak, whose antique root peeps out
Upon the brook that brawls along this wood.”
—William Shakespeare (1564–1616)
“Certainly for us of the modern world, with its conflicting claims, its entangled interests, distracted by so many sorrows, so many preoccupations, so bewildering an experience, the problem of unity with ourselves in blitheness and repose, is far harder than it was for the Greek within the simple terms of antique life. Yet, not less than ever, the intellect demands completeness, centrality.”
—Walter Pater (1839–1894)
“Are not all finite beings better pleased with motions relative than absolute?”
—Henry David Thoreau (1817–1862)
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—John Milton (1608–1674)