MathPages: Algebra

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Algebra

Multiple Linear Regression Periods of Fibonacci Sequences mod m Kummer's Objection Irreducibility Criteria Proving Algebraic Inequalities Bit-String Orbits Under Rotate-XOR Piano Keys The Crystallographic Restriction Polynomials For Sums of Square Roots Leaning Ladders On Ptolmey's Theorem Machin's Merit The Twelve-Step Cycle of 4/sin(x) Finite Subgroups of the Mobius Group The Fundamental Theorem of Algebra String Algebra Apollonius' Tangency Problem Asymptotic Approach to 2D Arrays Iterated Logarithmic Functions Eigenvalue Problems and Matrix Invariants Iterated Means Fibonacci, 1/89, And All That Square Roots by Pencil and Paper A Quasi-Periodic Sequence Sums of Powers in Terms of Symmetric Functions Self-Similar Reverse-Sum Sequences Generalized Mediant Tangents, Exponentials, and PI Recurrences For Harmonic Sums Bernoulli Numbers and Harmonic Series Quasi-Groups Laminar Transformations Ancient Square Roots Pythagoras On Dot and Cross Products Infinite Products and a Tangent Fan Exponential Partitions Geometric Dot Products and Digit Reversals Radical Expression For cos(2pi/7) On f(x^2+y^2) = f(x)^2 + f(y)^2 Series Solution of Non-Linear Equation Compressor Stalls and Mobius Transformations Convoluting Arrays Harmonic Sums of Integers with k Binary 1's Interleaving Fibonacci Numbers Gauss' Lemma Without Divisibility Arguments Mnemonic Coins and Pattern Avoidance The Shortest Path To Trigonometric Identities Polynomials From Pascal's Triangle Bras, Kets, and Matrices Decimal Representations as Power Series Sudoku Symmetries Resistor Grids

Rounding Up to PI Reflecting on the Geometric Mean Sums of Powers Forests and Trees on a Complex Plain Inverse Square Weighted Interpolation The Fundamental Theorem For Palindromic Polynomials Reducing Quartics to Cubics Platonions Annuities With Inflation On Eulerian Numbers Intersections of Polynomials Angular Angst Quarky Vector Triple-Product From the Geometric Series to Stirling Numbers Orthomagic Square of Squares Automedian Triangles and Eigen Vectors Continued Fractions and Characteristic Recurrences On the Solution of the Cubic Phased Summations Arranging the Solutions of f(x+y+z)=xyz Tangent To PI Cross-Linear Interpolation The Super-Symmetric Mean Rational Sines of Rational Multiples of PI Cyclic Redundancy Checks Permutation Loops Simplex Volumes and the Cayley-Menger Determinant Loxodromic Aliasing Determining the Galois Group of a Polynomial Formal-Numeric Series Discrete Fourier Transforms Napoleonic Vectors Continuous From Discrete Transfer Functions Expulsion Sets Bi-Rational Substitutions Giving Squares Cyclic Divisibility The Tetratorus and Other Multi-Layered Polyhedra Maxwell and Second-Degree Commutation Inverse-Square Forces and Orthogonal Polynomials Harmonia Mensurarum Iterative Isoscelizing Galois Groups Hermitian Matrices An Algebraic Duality Linear Fractional Transformations The Resultant and Bezout's Theorem Isospectral Point Sets in Higher Dimensions Rotation Matrices Iterative Solutions of Homogeneous Linear Systems Binary Reverse-Sum Automata The Cayley-Hamilton Theorem

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