# New in *MathWorld* -- November
2002

### Saturday November 30, 2002

- Hilbert Function (modified)
- Hilbert Series (modified)
- Strang's Strange Figures

### Friday November 29, 2002

- Complexity (modified)
- Digitaddition Generator (modified)
- Form Integration (modified)
- Homology (modified)
- Integrable Differential Ideal (modified)
- Ker (modified)
- Lambert W-Function (modified)
- Logarithmic Integral (modified)
- Modified Bessel Function of the First Kind (modified)
- Modified Bessel Function of the Second Kind (modified)
- Natural Logarithm (modified)
- Nome (modified)
- Parabolic Cylinder Function (modified)
- Partial Order Ideal (modified)
- Probability Integral (modified)
- Riemann-Siegel Functions (modified)
- Riemann Zeta Function (modified)
- Shi (modified)
- Sigmoid Function (modified)
- Sign (modified)
- Sinc Function (modified)
- Sine Integral (modified)
- Spence's Function (modified)
- Spence's Integral (modified)
- Square Root (modified)
- Struve Function (modified)
- Trilogarithm (modified)
- Vector Space Flag (modified)
- Weierstrass Elliptic Function (modified)
- Xi-Function (modified)

### Thursday November 28, 2002

- Kei (modified)
- K-Function (modified)

### Wednesday November 27, 2002

- Associated Graded Module
- Associated Graded Ring
- Complete Elliptic Integral of the First Kind (modified)
- Complete Elliptic Integral of the Second Kind (modified)
- Curl (modified)
- Curl Theorem (modified)
- Dedekind Eta Function (modified)
- Del
- Digamma Function (modified)
- Dilogarithm (modified)
- Directional Derivative (modified)
- Divergence Theorem (modified)
- Erfc (modified)
- Erfi (modified)
- Escher's Map (modified)
- Exponential Function (modified)
- Exponential Integral (modified)
- Exponential Ramp (modified)
- Filtered Ring
- Filtration
- Fractional Part (modified)
- Fresnel Integrals (modified)
- Gamma Function (modified)
- Gaussian Function (modified)
- G-Function (modified)
- Graded Free Resolution
- Gudermannian (modified)
- Hankel Function of the First Kind (modified)
- Hankel Function of the Second Kind (modified)
- Hilbert-Samuel Function
- Ideal Height (modified)
- Identity Function (modified)
- Integer Part (modified)
- Inverse Tangent Integral (modified)
- Jinc Function (modified)
- Module Multiplicity
- Nabla
- Rees Module
- Rees Ring
- Vector Derivative (modified)

### Tuesday November 26, 2002

- Pearson's Skewness Coefficients (modified)
- Skewness (modified)

### Monday November 25, 2002

- Central Beta Function (modified)
- Chi (modified)
- Common Logarithm (modified)
- Constant Function (modified)
- Continued Fraction Map (modified)
- Cosine Integral (modified)
- Cube Root (modified)
- Dawson's Integral (modified)
- Hyperbolic Cosine (modified)
- Hyperbolic Sine (modified)
- Inverse Sine (modified)
- Pell-Lucas Polynomial (modified)

### Sunday November 24, 2002

- Algebraic Loop (modified)
- Bilinear Form Kernel (modified)
- Ceiling Function (modified)
- Chain Homology (modified)
- Circle Cycle (modified)
- Complex Form (modified)
- Conic Section Directrix (modified)
- Corona (modified)
- Elliptic Fixed Point (modified)
- Euler Number (modified)
- Even Vertex (modified)
- Faltung (modified)
- Fermat-Lucas Polynomial
- Fermat Number (modified)
- Fermat Polynomial (modified)
- Floor Function (modified)
- Form Envelope (modified)
- FRACTRAN (modified)
- Function Centroid (modified)
- Function Graph (modified)
- Generalized Function (modified)
- Geometric Centroid (modified)
- Graph Crossing Number (modified)
- Graph Directrix (modified)
- Graph Factor (modified)
- Graph Loop (modified)
- Group Block (modified)
- Group Center (modified)
- Group Kernel (modified)
- Group Orbit (modified)
- Homology Boundary (modified)
- Homology Cycle (modified)
- Hyperbolic Fixed Point (modified)
- Integral Kernel (modified)
- Jacobsthal-Lucas Polynomial
- Jacobsthal Polynomial (modified)
- Lie Algebra Lower Central Series (modified)
- Lie Algebra Representation (modified)
- Lie Algebra Root (modified)
- Lie Algebra Weight (modified)
- Lie Group Quotient Space (modified)
- Linear Transformation Kernel (modified)
- Link Crossing Number (modified)
- Loop (modified)
- Lucas Polynomial (modified)
- Module Kernel (modified)
- Multiperfect Number Class (modified)
- Odd Vertex (modified)
- Orthocentric Centroid (modified)
- Pell-Lucas Polynomial
- Pell Polynomial (modified)
- Polygon Density (modified)
- Polygon Diagonal (modified)
- Polyhedron Diagonal (modified)
- Polynomial Form (modified)
- Ring Kernel (modified)
- Ruled Surface Directrix (modified)
- Sequence Density (modified)
- Sequence Dispersion (modified)
- Set Block (modified)
- Set Class (modified)
- Set Closure (modified)
- Space Cone (modified)
- Space Join (modified)
- Statistical Dispersion (modified)
- Topological Cube (modified)
- Triangle Centroid (modified)

### Saturday November 23, 2002

- Convex Polygon (modified)
- Coplanar (modified)
- Determinant Identities (modified)
- Line-Line Distance
- Line-Line Intersection (modified)
- Perp Dot Product
- Perpendicular Vector
- Skew Lines (modified)

### Friday November 22, 2002

- Cosecant (modified)
- Cosine (modified)
- Cotangent (modified)
- Cube 4-Compound (modified)
- Erf (modified)
- Tetrahedron 2-Compound
- Tetrahedron 5-Compound (modified)

### Thursday November 21, 2002

- Gamma Function (modified)
- Generalized Fermat Number
- Graph Edge (modified)
- Great Circle (modified)
- Inverse Hyperbolic Cosecant (modified)
- Legendre Polynomial (modified)
- Order Statistic (modified)
- Polygon Edge (modified)

### Wednesday November 20, 2002

- Bundle Section (modified)
- Curve Genus (modified)
- Diophantine Equation--2nd Powers (modified)
- Fixed Point (modified)
- Fixed Point Node (modified)
- Form Genus (modified)
- Game of Logic (modified)
- Genus (modified)
- Geometric Form (modified)
- Googol (modified)
- Graph Vertex (modified)
- Group Fixed Point (modified)
- Group Torsion (modified)
- Knot Genus (modified)
- Leibniz Identity (modified)
- Lie Algebra Commutator Series (modified)
- Manifold Tangent Vector (modified)
- Map Fixed Point (modified)
- Polyomino (modified)
- Product Rule (modified)
- Sum of Squares Function (modified)
- Tangent Bundle Section (modified)
- Topological Basis (modified)
- Torsion (modified)
- Vector Bundle Connection (modified)
- Width (modified)

### Tuesday November 19, 2002

- Cube 4-Compound (modified)
- Derangement (modified)
- Dodecahedron-Small Triambic Icosahedron Compound (modified)
- Double Factorial (modified)
- Inverse Cosine (modified)
- Inverse Cotangent (modified)
- Inverse Secant (modified)
- Inverse Sine (modified)
- Inverse Tangent (modified)
- Putnam Mathematical Competition
- Real Number Picking (modified)
- Scintillating Grid Illusion (modified)
- Tetrahedron 5-Compound (modified)

### Monday November 18, 2002

- Hyperbolic Cosecant (modified)
- Hyperbolic Cosine (modified)
- Hyperbolic Cotangent (modified)
- Hyperbolic Secant (modified)
- Hyperbolic Sine (modified)
- Hyperbolic Tangent (modified)
- Improper Integral (modified)
- Integral (modified)
- Inverse Hyperbolic Cosine (modified)
- Inverse Hyperbolic Cotangent (modified)
- Inverse Hyperbolic Secant (modified)
- Inverse Hyperbolic Sine (modified)
- Inverse Hyperbolic Tangent (modified)
- Riemann Integral (modified)
- Secant (modified)
- Tangent (modified)

### Sunday November 17, 2002

- Bundle of Planes
- Coplanar (modified)
- Hessian Normal Form
- Parallel Planes (modified)
- Plane (modified)
- Plane-Plane Intersection (modified)
- Point-Plane Distance (modified)
- Sheaf of Planes (modified)

### Saturday November 16, 2002

- Analysis (modified)
- Bundle Orientation (modified)
- Bundle Rank (modified)
- Circle Power (modified)
- Conjugacy Class Order (modified)
- Contracted Bianchi Identities (modified)
- Curve Order (modified)
- Depth (modified)
- Difference Set Order (modified)
- Estimator Bias (modified)
- Extension Field Degree (modified)
- Field Order (modified)
- Function Order (modified)
- Geometric Contraction (modified)
- Graph Bar (modified)
- Graph Order (modified)
- Graph Orientation (modified)
- Graph Vertex (modified)
- Group Character (modified)
- Group Order (modified)
- Group Rank (modified)
- Ideal Contraction (modified)
- Ideal Extension (modified)
- Line-Line Intersection (modified)
- Map Trace (modified)
- Matrix Rank (modified)
- Matrix Trace (modified)
- Modulo Order (modified)
- Neighborhood System Base (modified)
- Number Theoretic Character (modified)
- Order
- Ordering (modified)
- Ordinary Differential Equation Order (modified)
- Parabola Vertex (modified)
- Path Trace (modified)
- Polygon Vertex (modified)
- Polyhedron Vertex (modified)
- Polytope Vertex (modified)
- Power (modified)
- Quadratic Form Rank (modified)
- Sequence Rank (modified)
- Series Bias (modified)
- Statistical Power (modified)
- Statistical Rank (modified)
- Surface Order (modified)
- Tensor Rank (modified)
- Tensor Trace (modified)
- Topological Basis (modified)
- Triangle Power (modified)
- Tube
- Vector Orientation (modified)
- Vector Space Orientation (modified)
- Vertex
- Vertex Order (modified)

### Friday November 15, 2002

- Airy Functions (modified)
- Bei (modified)
- Ber (modified)
- Champernowne Constant (modified)
- Conditional Convergence (modified)
- Dirichlet Beta Function (modified)
- Dirichlet Lambda Function (modified)
- Double Series (modified)
- Game of Logic
- Kobon Triangle (modified)
- Logarithmic Series (modified)
- Masser-Gramain Constant (modified)
- Quasirandom Number
- Sum (modified)
- Ternary (modified)

### Thursday November 14, 2002

- Digraph Topology (modified)
- Dirichlet Beta Function (modified)
- Discrepancy
- Discrete Discrepancy
- Local Discrepancy
- Mehler's Hermite Polynomial Formula (modified)
- Net (modified)
- Poker (modified)
- Star Discrepancy
- Topology (modified)

### Wednesday November 13, 2002

### Tuesday November 12, 2002

- Badly Approximable
- Binary Quadratic Form Determinant (modified)
- Characteristic (modified)
- Cross-Cap (modified)
- Divisor (modified)
- Kobon Triangle (modified)
- Polynomial (modified)
- Principle of Insufficient Reason (modified)
- Variable

### Monday November 11, 2002

- Birkhoff's Inequality
- Characteristic Function (modified)
- Gear Graph (modified)
- Infinitary Divisor (modified)
- Infinitary Multiperfect Number (modified)
- Infinitary Perfect Number (modified)
- j-Function (modified)
- Nearest Integer Function (modified)
- Piecewise Constant Function (modified)
- Stirling Transform (modified)
- Unitary Divisor (modified)

### Saturday November 9, 2002

- Small Triambic Icosahedron (modified)

### Friday November 8, 2002

- Game of Life (modified)

### Thursday November 7, 2002

- Binary Quadratic Form Discriminant (modified)
- Circle Discriminant (modified)
- Conic Section Discriminant (modified)
- Direction
- Exponentially Decreasing Function
- Exponentially Increasing Function
- Head
- i (modified)
- Identically Zero
- Imaginary Number (modified)
- Mandelbrot Set (modified)
- Metric Discriminant (modified)
- Oscillating Function
- Period
- Periodic Function (modified)
- Point-Line Distance--2-Dimensional (modified)
- Polynomial Discriminant (modified)
- Quadratic Curve Discriminant (modified)
- Quadrilateral (modified)
- Real Part (modified)
- Rhombic Triacontahedron (modified)
- Second Derivative Test Discriminant (modified)
- Tail
- Tangential Quadrilateral (modified)
- Total Variation (modified)
- Vanish Identically
- Vanishing (modified)

### Wednesday November 6, 2002

- Catalan's Constant (modified)
- Church-Turing Thesis (modified)
- Collinear (modified)
- Constant (modified)
- Cube-Octahedron 5-Compound (modified)
- Discontinuity
- Great Icosahedron (modified)
- Lebesgue Decomposition (modified)
- Octahedron 5-Compound (modified)
- Piecewise Constant Function
- Primitive Recursive Function (modified)

### Tuesday November 5, 2002

- Bertrand's Postulate (modified)
- Game of Life (modified)
- Stolarsky-Harborth Constant (modified)
- Universal Cellular Automaton (modified)
- Universal Turing Machine (modified)

### Monday November 4, 2002

- Argument (modified)
- Bang's Theorem (modified)
- Base (modified)
- Complex Argument (modified)
- Complex Modulus (modified)
- Cubic Symmetric Graph (modified)
- Elliptic Discriminant (modified)
- Elliptic Invariants (modified)
- Elliptic Modulus (modified)
- Euler Forward Method
- Family of Curves (modified)
- Integral Curve
- Matrix (modified)
- Newtonian Vector Field
- Perfect Graph (modified)
- Perfect Graph Theorem (modified)
- Polar Representation (modified)
- Quadratic Invariant Modulus (modified)
- Rabin-Miller Strong Pseudoprime Test (modified)
- Residue (modified)

### Sunday November 3, 2002

- Antimagic Square (modified)
- Berge Graph
- Graph Antihole
- Graph Difference (modified)
- Graph Hole
- Spider and Fly Problem (modified)
- Strong Perfect Graph Theorem (modified)

### Saturday November 2, 2002

- Bailey-Borwein-Plouffe Formula (modified)
- BBP Formula (modified)
- Chebyshev Functions (modified)
- Cribbage (modified)
- Icosahedron Stellations (modified)
- Pi Formulas (modified)
- Prime Counting Function (modified)
- Prime Products (modified)
- Primorial (modified)
- Primorial Prime (modified)

### Friday November 1, 2002

- Antiprism Graph (modified)
- Complete Graph (modified)
- Concentric Circles (modified)
- Graph Cycle (modified)
- Prism Graph (modified)
- Square-Free Graph
- Web Graph (modified)
- Wheel Graph (modified)

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