▪Μαθηματικές σελίδες: Άλγεβρα

Multiple Linear Regression and Fourier Series

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

The Algebra of an Infinite Grid of Resistors

Eigen Systems

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

Resistor Grids and Matrix Square Roots