# New in *MathWorld* -- January
2004

### Saturday January 31, 2004

- Apeirogon (modified)
- Factor (modified)
- Frobenius Automorphism
- Steiner Tree (modified)

### Friday January 30, 2004

- Barker Code
- Fisher Information Matrix
- Rolle's Theorem (modified)
- Unitary Amicable Pair (modified)
- Wolf Prize

### Thursday January 29, 2004

- Arithmetic-Geometric Mean (modified)
- Buffon's Needle Problem (modified)
- Definite Integral (modified)
- Elliptic Lambda Function (modified)
- Exponent Laws (modified)
- LCF Notation (modified)
- Prime Formulas (modified)
- Prime Products (modified)
- Riemann Zeta Function (modified)
- Trott Constants

### Wednesday January 28, 2004

- Binomial Series (modified)
- Complete Elliptic Integral of the First Kind (modified)
- Elliptic Integral of the First Kind (modified)
- Factorial Sums (modified)
- Permutation Group (modified)
- Stieltjes Constants (modified)
- Watson's Triple Integrals (modified)

### Tuesday January 27, 2004

- Artin's Conjecture (modified)
- Big-Omega Notation
- Big-Theta Notation
- Computational Number Theory (modified)
- Erf (modified)
- Erfc (modified)
- Gamma Function (modified)
- Generalized Fermat Number (modified)
- Generalized Riemann Hypothesis (modified)
- Harmonic Number (modified)
- Home Prime (modified)
- Infinitary Perfect Number (modified)
- Khinchin-Lévy Constant (modified)
- Natural Logarithm (modified)
- Parabolic Cylinder Function (modified)
- Pólya's Random Walk Constants (modified)
- Quantum Bit
- Qubit
- Ramanujan Continued Fractions
- Riemann Hypothesis (modified)
- Ring of Integers (modified)
- Watson's Triple Integrals
- Whittaker Function (modified)

### Monday January 26, 2004

- Continued Fraction (modified)
- Diophantine Equation--4th Powers (modified)
- Disdyakis Triacontahedron (modified)
- FixedPointList
- Gibrat's Distribution (modified)
- Harmonic Number (modified)
- Horn Function (modified)
- Irrationality Exponent
- Irrationality Measure (modified)
- LCF Notation (modified)
- Real Normed Algebra (modified)

### Sunday January 25, 2004

- Ballantine's Series
- Buffon's Needle Problem (modified)
- Definite Integral (modified)
- Euler-Mascheroni Constant (modified)
- Exponent Laws (modified)
- Gamma Function (modified)
- Gelfond's Constant
- Gelfond's Theorem (modified)
- Machin-Like Formulas (modified)
- Pi Digits (modified)
- Pi Formulas (modified)
- Pi Iterations

### Saturday January 24, 2004

- ECPP
- Elliptic Curve Primality Proving (modified)
- Fixed Point (modified)
- Happy End Problem (modified)
- Hyperbolic Secant (modified)
- Mann Iteration
- Primality Test (modified)
- Quadratic Equation (modified)
- Riemann Hypothesis (modified)
- Riemann Zeta Function (modified)
- Sharkovsky's Theorem (modified)

### Friday January 23, 2004

- Asymptote (modified)
- Asymptotic (modified)
- Commutator Subgroup (modified)
- Integrally Closed (modified)
- Irrationality Measure (modified)
- Orthographic Projection (modified)
- Real Normed Algebra (modified)
- Rhombic Hexecontahedron (modified)

### Thursday January 22, 2004

- Harmonic Number (modified)
- Mertens Constant (modified)
- Prime Factor (modified)
- Prime Zeta Function (modified)

### Wednesday January 21, 2004

- Distinct Prime Factors (modified)
- Generalized Petersen Graph (modified)
- Goldbach Conjecture (modified)
- Kermack-McKendrick Model (modified)
- Klein's Absolute Invariant (modified)
- LCF Notation (modified)
- Rooted Tree (modified)
- Tait's Hamiltonian Graph Conjecture (modified)
- Tree (modified)
- Tutte 8-Cage (modified)

### Tuesday January 20, 2004

- Algebra (modified)
- Cartan Algebra
- Distributive (modified)
- Exceptional Lie Algebra
- Homogeneous Ordinary Differential Equation
- Near-Square Prime (modified)
- Ordinary Differential Equation (modified)
- Simple Lie Algebra
- x-Axis (modified)

### Sunday January 18, 2004

- Archimedean Solid (modified)
- Consecutive Number Sequences (modified)
- Graham-Pollak Sequence
- Riemann Zeta Function Zeros (modified)
- Skewes Number (modified)
- Smarandache-Wellin Number

### Saturday January 17, 2004

- Bailey-Borwein-Plouffe Formula (modified)
- BBP Formula (modified)
- BBP-Type Formula
- Catalan's Constant (modified)
- Clausen's Integral (modified)
- Double Series (modified)
- Euler Sum (modified)
- Euler-Zagier Sum
- Feigenbaum Constant (modified)
- Figure Eight Knot (modified)
- Landau-Ramanujan Constant (modified)
- Logistic Map (modified)
- Log Sine Integral
- Multiple Series
- Natural Logarithm of 2 (modified)
- Near-Square Prime

### Friday January 16, 2004

- Alternating Permutation (modified)
- Definite Integral (modified)
- Dodecahedral Graph (modified)
- Gregory Series (modified)
- Mercator Series (modified)
- Multinomial Series (modified)
- Natural Logarithm of 2 (modified)
- Necker Cube (modified)
- Pi Formulas (modified)
- Polylogarithm (modified)
- Secant Number (modified)
- Tangent Number (modified)
- Two Trains Puzzle (modified)

### Thursday January 15, 2004

- Carmichael Number (modified)
- Cubic Symmetric Graph (modified)
- Definite Integral (modified)
- Diagonalizable Matrix (modified)
- Divides (modified)
- LCF Notation (modified)
- Lehmer's Totient Problem (modified)

### Wednesday January 14, 2004

- Clausen's Integral (modified)
- Feuerbach's Conic Theorem (modified)
- Mercator Series (modified)
- Pólya's Random Walk Constants (modified)
- Tangent Number (modified)

### Tuesday January 13, 2004

- Butterfly Curve (modified)
- Definite Integral (modified)
- Klein's Absolute Invariant (modified)
- Square Line Picking (modified)

### Monday January 12, 2004

- Diagonalizable Matrix (modified)
- Multinomial Series (modified)

### Sunday January 11, 2004

- Gregory Series (modified)
- Quintic Equation (modified)
- Tangent Number (modified)

### Saturday January 10, 2004

- Configuration (modified)
- Desmic Configuration
- Diagonalizable Matrix (modified)
- Goodstein Sequence (modified)
- Goodstein's Theorem (modified)
- Gregory Series (modified)
- Gregory's Formula (modified)
- Linearly Independent (modified)
- Mercator Series (modified)
- Natural Logarithm of 2 (modified)
- Normal Matrix (modified)
- Number Partitioning Problem
- Paris-Harrington Theorem
- Ramsey's Theorem (modified)
- Secant Number (modified)
- Two Trains Puzzle (modified)

### Wednesday January 7, 2004

- Cube Line Picking (modified)
- Definite Integral (modified)
- Euler Sum (modified)
- Square Line Picking
- Subset Sum Problem (modified)

### Tuesday January 6, 2004

- Circumradius (modified)
- Complete Biorthogonal System
- Complete Orthogonal System (modified)
- Cubical Graph (modified)
- Desargues Graph (modified)
- Dyck Graph (modified)
- Foster Graph (modified)
- Fourier-Legendre Series (modified)
- Generalized Fourier Series (modified)
- Heawood Graph (modified)
- Madelung Constants (modified)
- Möbius-Kantor Graph (modified)
- Ordinary Line (modified)
- Orthogonal Functions (modified)
- Orthonormal Functions (modified)
- Pappus Graph (modified)
- Pentagon (modified)
- Pentagonal Rotunda (modified)
- Utility Graph (modified)

### Monday January 5, 2004

### Sunday January 4, 2004

- Arithmetic-Geometric Mean (modified)
- Binary Plot
- Complete Orthogonal System (modified)
- Dilogarithm (modified)
- Experimental Mathematics
- Fermat Number (modified)
- Fourier-Legendre Series (modified)
- Fourier Series (modified)
- Fourier Series--Semicircle
- Gauss's Constant (modified)
- Legendre Series (modified)
- Lemniscate Function (modified)
- Merit Factor Problem
- Parseval's Equation
- Petersen Graph (modified)
- Polylogarithm (modified)
- P Versus NP Problem
- SIR Model

### Saturday January 3, 2004

- Catalan's Triangle (modified)
- Central Binomial Coefficient (modified)
- Contact Triangle (modified)
- Excentral Triangle (modified)
- Fourier-Bessel Series (modified)
- Fourier Series (modified)
- Generalized Fourier Series
- Isosceles Tetrahedron (modified)
- Kepler's Equation (modified)
- Laplace Series (modified)
- Metacyclic Group (modified)
- Newton's Iteration (modified)
- Nonnegative Partial Sum (modified)
- Schlömilch's Series (modified)
- Spherical Harmonic (modified)

### Thursday January 1, 2004

- Dedekind Eta Function (modified)
- Harmonic Number (modified)
- Klein's Absolute Invariant (modified)
- Nome (modified)
- Partial Sum
- q-Series (modified)
- Supersingular Prime
- Trace Form

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