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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—Jimmy Carter (James Earl Carter, Jr.)
“Flower in the crannied wall,
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—Alfred Tennyson (1809–1892)
“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.”
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“Are not all finite beings better pleased with motions relative than absolute?”
—Henry David Thoreau (1817–1862)
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for a torn earth
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mountains lost.”
—Hilda Doolittle (1886–1961)