# New in *MathWorld* -- July
2002

### Wednesday July 31, 2002

- Free Group (modified)
- Hawaiian Earring (modified)
- Hemisphere (modified)
- Married Couples Problem (modified)
- Pattern of Two Loci (modified)
- Turing Machine (modified)

### Tuesday July 30, 2002

- Method of Steepest Descent (modified)
- Mobile Automaton (modified)

### Monday July 29, 2002

- Bounded Operator
- Compact Operator
- Complete Riemannian Metric (modified)
- Firing Squad Problem
- Flat Manifold
- Frame Bundle
- Fredholm Alternative
- Gauge Theory
- Goat Problem (modified)
- Grassmannian
- Group Automorphism (modified)
- Hawaiian Earring (modified)
- Iterated Map
- Langton's Ant (modified)

### Sunday July 28, 2002

- Algebraic Number Minimal Polynomial
- Class Field
- Coin Problem (modified)
- Compact Subset
- Completely Regular Space
- Complex Number Paradox
- Computation Time (modified)
- Conjugate Elements
- Connected im Kleinen
- Coordinate Ring
- Coproduct
- Cyclotomic Field (modified)
- Dedekind Ring (modified)
- Disconnected Space
- Discrete Family
- Discrete Metric
- Divisible Property
- Duel
- Fractional Ideal
- Local Field (modified)
- Ring (modified)
- Topological Cube

### Saturday July 27, 2002

### Friday July 26, 2002

- Algorithm (modified)
- Arc (modified)
- Blum's Speed-Up Theorem
- Computation (modified)
- Computation Time (modified)
- Constructible Function
- Ellipse (modified)
- Figure Eight
- Rabin's Compression Theorem
- Ring of Fractions (modified)
- Row Space
- Total Ring of Fractions

### Wednesday July 24, 2002

- Catalan's Constant (modified)
- Hawaiian Earring
- Hurwitz Zeta Function (modified)
- Menelaus Point
- Multiplicative Group
- Multiplicative Inverse (modified)
- Oblique Coordinates

### Tuesday July 23, 2002

- Affine
- Affine Coordinates
- Affine Scheme (modified)
- Cap (modified)
- Cellular Automaton (modified)
- Chinese Remainder Theorem (modified)
- Column Space
- Cup (modified)
- Elementary Cellular Automaton (modified)
- Euclidean
- Euclidean Tools
- Euclidean Topology
- Metric (modified)
- Pseudometric
- Register Machine (modified)
- Simultaneous Equations
- Tag System (modified)

### Monday July 22, 2002

### Sunday July 21, 2002

- Computation
- Computational Reducibility
- Computation Time
- Cyclic Tag System
- Generalized Mobile Automaton
- Mobile Automaton (modified)
- Register Machine (modified)
- Tag System (modified)

### Friday July 19, 2002

- Combinator (modified)
- Computational Irreducibility
- Domineering (modified)
- Lambda Calculus (modified)

### Thursday July 18, 2002

- Fibonacci Polynomial (modified)
- Fredholm Integral Equation of the Second Kind (modified)
- Integral Equation (modified)
- Principle of Computational Equivalence (modified)
- Standard Deviation (modified)
- Vector Basis (modified)

### Wednesday July 17, 2002

- Asymptotic Notation (modified)
- Landau Symbols (modified)
- Möbius Function (modified)
- Sphere (modified)
- Sphere Point Picking (modified)
- Spherical Polyhedron

### Tuesday July 16, 2002

- Cartesian Coordinates (modified)
- Cartesian Pattern
- Cartesian Plane
- Characterization
- Closed Map
- Coordinate Plane
- Essentially Unique
- Existence (modified)
- Existence Theorem
- Pattern of Two Loci
- Riemann Surface (modified)
- Triple Torus (modified)
- Uniqueness Theorem

### Monday July 15, 2002

- Cartesian Equation
- Hankel Matrix (modified)

### Sunday July 14, 2002

### Saturday July 13, 2002

- Dissection Proof
- Eventually
- Existential Sentence
- For All (modified)
- For Some
- Galton Board
- Group Direct Sum
- Indecomposable Module
- Invertible
- Invertible Element
- Invertible Polynomial
- Irreducible Submodule
- Large Submodule
- Quincunx (modified)
- Regular Ring (modified)
- Small Submodule
- Sufficiently Large
- von Neumann Regular Ring

### Friday July 12, 2002

- Neighborhood (modified)
- Open Neighborhood

### Thursday July 11, 2002

- Euler Brick (modified)
- Highly Composite Number (modified)
- Superabundant Number

### Wednesday July 10, 2002

- Bow (modified)
- Bullet Nose (modified)
- Capricornoid (modified)
- Complete Riemannian Metric
- Quartic Curve (modified)
- Sextic Curve
- Walsh Function (modified)

### Tuesday July 9, 2002

- Congruent (modified)
- Euclidean Algorithm (modified)
- Geometric Congruence (modified)
- Gnomonic Projection (modified)
- Lamé's Theorem (modified)
- Polygamma Function (modified)

### Monday July 8, 2002

- Billiards (modified)
- Distinct Prime Factors (modified)
- Prime Factor (modified)

### Sunday July 7, 2002

### Thursday July 4, 2002

### Tuesday July 2, 2002

- Dobiński's Formula (modified)
- Orthopolar Line

### Monday July 1, 2002

- Infinite Product (modified)

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