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Mathematics, Statistics, and Teaching

• Authors : Cobb, George W.; Moore, David S.

• Source: American Mathematical Monthly; November 1997, Vol. 104 Issue: 9 p801-823, 23p

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Hubert 90 for Biquadratic Extensions.

• Authors : Dwilewicz, Roman¹ ; Mináë, Jan² ; Schultz, Andrew³

Subjects: *QUADRATIC equations; *QUADRATIC forms; *HILBERT algebras

• Source: American Mathematical Monthly. Aug/Sep2007, Vol. 114 Issue 7, p577-587. 11p.

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On a Certain Lie Algebra Defined by a Finite Group.

• Authors : Cohen, Arjeh M.¹ ; Taylor, D. E.²

Subjects: *MATHEMATICS; *LIE algebras; *ABSTRACT algebra

• Source: American Mathematical Monthly. Aug/Sep2007, Vol. 114 Issue 7, p633-639. 7p.

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Rotation in a Normed Plane.

• Authors : Cook, Jack; Lovett, Jonathan; Morgan, Frank¹

Subjects: *MATHEMATICS; *PLANE geometry; *EUCLID'S elements

• Source: American Mathematical Monthly. Aug/Sep2007, Vol. 114 Issue 7, p628-632. 5p.

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A Harmonic Measure Interpretation of the Arithmetic—Geometric Mean.

• Authors : Walden, Byron L.¹ ; Ward, Lesley A.²

Subjects: *MATHEMATICAL formulas; *ARITHMETIC; *GEOMETRY

• Source: American Mathematical Monthly. Aug/Sep2007, Vol. 114 Issue 7, p610-622. 13p.

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Newton's Method Obeys Benford's Law.

• Authors : Berger, Arno¹ ; Hill, Theodore P.²

Subjects: *MATHEMATICS; *NEWTON-Raphson method; *FLOATING-point arithmetic

• Source: American Mathematical Monthly. Aug/Sep2007, Vol. 114 Issue 7, p588-601. 14p.

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A Simple Example of a New Class of Landen Transformations.

• Authors : Manna, Dante¹ ; Moll, Victor H.²

Subjects: *MATHEMATICAL transformations; *MATHEMATICAL formulas; *AUTOMATIC theorem proving

• Source: American Mathematical Monthly. Mar2007, Vol. 114 Issue 3, p232-241. 10p. 1 Chart.

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Noting the Difference: Musical Scales and Permutations.

• Authors : Silverman, Danielle¹ ; Wiseman, Jim²

Subjects: *MUSICAL intervals & scales; *PERMUTATIONS; *DIATONICISMMYERSON, G.; CLOUGH, J.

• Source: American Mathematical Monthly. Aug/Sep2006, Vol. 113 Issue 7, p648-651. 4p. 3 Diagrams.

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Recovering a Function from a Dini Derivative.

• Authors : Hagood, John W.¹ ; Thomson, Brian S.²

Subjects: *MATHEMATICAL functions; *FRACTIONAL calculus; *INTEGRALSSAKS, S.

• Source: American Mathematical Monthly. Jan2006, Vol. 113 Issue 1, p34-46. 13p.

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Irreducible Quartic Polynomials with Factorizations modulo p.

• Authors : Driver, Eric ; Leonard, Philip A.¹ ; Williams, Kenneth S.²

Subjects: *IRREDUCIBLE polynomials; *FACTORIZATION; *BIQUADRATIC equations

• Source: American Mathematical Monthly. Dec2005, Vol. 112 Issue 10, p876-890. 15p.

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