# New in *MathWorld* -- October
2004

### Sunday October 31, 2004

- Bead-Sort
- Bolyai Expansion
- Digit Count (modified)
- Digit Sum (modified)
- Euler Number (modified)
- Gauss Map (modified)
- Hilbert Curve (modified)
- Legendre Identity
- L'Hospital's Rule (modified)
- Medial Parallelogram
- Mertens Function (modified)
- Parity (modified)
- Power Tower (modified)
- Real Number (modified)
- Redheffer Matrix
- Rule 30 (modified)
- Sinai Billiards
- Thue-Morse Constant (modified)
- Thue-Morse Sequence (modified)
- Trigonometry Angles--Pi/7 (modified)
- Trigonometry Angles--Pi/9 (modified)

### Saturday October 30, 2004

- Benney Equation
- Burridge-Knopoff Model
- de Rham's Function
- Fourier Transform (modified)
- Gauss's Root Theorem
- Jensen Disk
- Jensen's Theorem (modified)
- Matrix Exponential (modified)
- Pisot Number
- Pisot-Vijayaraghavan Constant (modified)

### Friday October 29, 2004

### Thursday October 28, 2004

- Isospectral Graphs (modified)
- Magic Eye Stereogram
- Sangaku Problem (modified)
- Sign (modified)
- Taylor Circle (modified)
- Trotter Product Formula

### Wednesday October 27, 2004

- Absolute Retract
- Connected Set (modified)
- Embedding (modified)
- Faithful Representation
- Local P-Algebra
- Spencer-Brown Form
- St. Ives Problem (modified)
- Structure Homomorphism
- Unicoherent Space

### Tuesday October 26, 2004

- Alcuin's Sequence (modified)
- Catalan's Constant (modified)
- Glaisher-Kinkelin Constant (modified)
- Sgn (modified)
- Sign (modified)
- Soldner's Constant (modified)
- Trinomial Coefficient (modified)

### Monday October 25, 2004

- Bitwin Chain (modified)
- Brocard Axis (modified)
- de Longchamps Line (modified)
- Discrete Logarithm
- Euler Line (modified)
- Gergonne Line (modified)
- Lemoine Axis (modified)
- Nagel Line (modified)
- Orthic Axis (modified)
- Soddy Line (modified)

### Friday October 22, 2004

- Desargues' Theorem (modified)
- Evans Conic (modified)
- Incidence Matrix (modified)
- Polar Circle (modified)

### Thursday October 21, 2004

### Wednesday October 20, 2004

- Curtate Cycloid (modified)
- Desargues Configuration (modified)
- Feigenbaum Constant Approximations (modified)
- Madelung Constants (modified)

### Tuesday October 19, 2004

- Circumcircle (modified)
- Croatian Cross
- Cyclotomic Polynomial (modified)
- Darboux Cubic (modified)
- Incircle (modified)
- Polar Circle (modified)
- Stammler Hyperbola (modified)
- Taylor Circle (modified)

### Monday October 18, 2004

- Class 1 Graph (modified)
- Class 2 Graph (modified)
- Continuum (modified)
- Diagonal Points
- Divisibility Tests (modified)
- Exponential Polynomial (modified)
- Nine-Point Conic (modified)
- Spherical Triangle (modified)

### Sunday October 17, 2004

- de Longchamps Ellipse (modified)
- Evans Conic (modified)
- MacBeath Inconic (modified)
- Stammler Hyperbola (modified)

### Saturday October 16, 2004

- Brocard Inellipse (modified)
- Inconic (modified)
- Lemoine Inellipse (modified)
- Mandart Inellipse (modified)
- Orthic Inconic (modified)

### Friday October 15, 2004

- Circumconic (modified)
- Class 1 Graph
- Class 2 Graph
- Closed Graph Theorem (modified)
- Compactification (modified)
- Darboux Integral (modified)
- Delta-Ring (modified)
- Diffie-Hellman Protocol
- Fitting Subgroup (modified)
- Fréchet Topological Vector Space
- Kiepert Parabola (modified)
- Lower Sum (modified)
- One-Point Compactification (modified)
- Open Mapping Theorem (modified)
- Scale-Free Network
- Steiner Circumellipse (modified)
- Steiner Inellipse (modified)
- Upper Sum (modified)
- Vizing's Theorem
- Yff Parabola (modified)

### Thursday October 14, 2004

- Feuerbach Hyperbola (modified)
- Jerabek Hyperbola (modified)
- Kiepert Hyperbola (modified)
- Kimberling Center (modified)
- Toroidal Polyhedron (modified)

### Wednesday October 13, 2004

- Ore's Conjecture (modified)
- Petersen-Schoute Theorem (modified)

### Tuesday October 12, 2004

- Newton's Iteration (modified)
- Partial Differential Equation (modified)

### Friday October 8, 2004

- Apéry's Constant (modified)
- Ordinary Differential Equation (modified)

### Thursday October 7, 2004

- Coproduct (modified)
- Gaussian Integral (modified)
- Grelling's Paradox (modified)
- Hermite Normal Form (modified)
- Hessenberg Decomposition (modified)
- Polya
- Polyhedron Coloring (modified)

### Wednesday October 6, 2004

- Polyhedron Coloring (modified)
- Uniform Circular Motion (modified)

### Tuesday October 5, 2004

- Common Logarithm (modified)
- Demiregular Tessellation (modified)
- Divergent Sequence (modified)
- Fréchet Space
- Lorentzian Function (modified)
- Odd Perfect Number (modified)
- Pi Wordplay (modified)
- PolynomialMod
- Ramsey's Theorem (modified)
- T_1-Space (modified)
- Uniform Tessellation
- Xi-Function (modified)

### Monday October 4, 2004

- Congruence (modified)
- Harmonic Number (modified)

### Saturday October 2, 2004

### Friday October 1, 2004

- Ambihelical Hexnut (modified)
- Impossible Fork (modified)
- Polynomial (modified)
- Polynomial Identity
- Tribox (modified)

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