MathPro Classification Scheme
- Algebra
- Age problems
- cryptarithm
- digits
- fathers and sons
- primes
- reciprocals of squares of ages
- Algorithms
- Ancestors
- Calculators
- Calendar problems
- calendar cycles
- day of week
- days in month
- digit problems
- Friday the 13th
- nonstandard calendars
- significant dates
- Clock problems
- angle of hands
- geometry
- hands
- meters
- water clocks
- Complex numbers
- geometry of complex numbers
- identities
- inequalities
- Continued fractions
- arithmetic progressions
- peridoic
- periodic
- radicals
- solution of equations
- Determinants
- Bernoulli numbers
- combinatorial properties
- combinatorics
- factorials
- fractions
- gamma function
- Hankel matrices
- integrals
- polynomials
- symmetric group
- Discriminants
- Elections
- Exponential equations
- Factorization
- degree 2
- degree 4
- degree 5
- degree 8
- degree n
- irreducible polynomials
- Fair division
- Finite differences
- Finite products
- Finite sums
- binomial coefficients
- factorials
- fractions
- harmonic series
- logarithms
- polynomials
- Floor function
- degree 3
- finite sums
- identities
- inequalities
- linear
- radicals
- solution of equations
- Functional equations
- 1 parameter
- 2 parameters
- derivatives
- Functions
- Gaussian polynomials
- Geometry of zeroes
- complex numbers
- cubic
- cubics
- degree n
- derivatives
- determinants
- Graphs
- degree 4
- equations
- exponentials
- parabolas
- Identities
- a+b+c=0
- finite sums
- multinomial coefficients
- Pascal's triangle
- powers
- Inequalities
- absolute value
- binomial coefficients
- degree 2
- degree 3
- degree 4
- degree 6
- equivalence
- exponentials
- finite products
- finite sums
- fractions
- harmonic series
- infinite sums
- logarithms
- polynomials
- positive reals
- powers
- radicals
- Interest problems
- Iterated functions
- Logarithms
- Maxima and minima
- combinations
- constrained extrema
- exponentials
- finite products
- finite sums
- fractions
- graphs
- permutations
- polynomials
- radicals
- Means
- arithmetic mean
- geometric mean
- Measuring problems
- Money problems
- interchanged digits
- multiply equals add
- ratios
- Numerical calculation
- Partial fractions
- Partitioned sequences
- Fibonacci numbers
- plus 1
- plus 4
- plus 6
- Periodic sequences
- Polynomial divisibility
- complex numbers
- degree 5
- Polynomials
- Bernstein polynomials
- degree 3
- degree 3n
- factorization
- fixed points
- homogeneous
- integer coefficients
- largest coefficients
- linear independence
- number of terms
- orthogonal polynomials
- positive definite
- properties
- roots and coefficients
- zeroes
- Radicals
- continued radicals
- sum of cube roots
- sum of square roots
- Range
- Rate problems
- cars
- drummers
- maxima and minima
- particles
- planes
- records
- rowing
- running
- swimming
- trains
- trips
- Recurrences
- 2 by 2 non-linear difference systems
- degree 3
- difference equations
- find a formula
- fractions
- sequences
- Roots of unity
- Sequences
- find formula
- functions
- inequalities
- odd and even
- rational expressions
- Sets
- Solution of equations
- absolute value
- degree 2
- degree 4
- degree 5
- degree 6
- degree 7
- exponential equations
- fractions
- logarithms
- radicals
- Sports
- baseball
- billiards
- car racing
- pool
- Spring scale
- Substitution
- Sum of powers
- degree 5
- formulas
- inequalities
- polynomials
- recurrences
- roots
- Systems of equations
- 2 variables
- 3 variables
- 5 variables
- 8 variables
- equations over fields
- logarithms
- n variables
- porisomatic equations
- sum of powers
- Theory of equations
- constraints on roots
- functions of roots
- identities
- location of zeroes
- number of solutions
- rational roots
- real roots
- roots
- systems of equations
- Undetermined coefficients
- Uniform growth
- grazing
- provisions
- snowplows
- Units
- Venn diagrams
- Weights
- balance scales
- beam balance
- innacurate balance
- Word problems
- area
- expressions
- math contests
- passengers
- percentage
- races
- sequences
- Work problems
- Analysis
- Arc length
- Bessel functions
- Bijections
- Borel sets
- Complex variables
- analytic continuation
- analytic function
- analytic functions
- Banach spaces
- bijections
- bounded functions
- conformal mapping
- finite sums
- Fourier series
- harmonic functions
- inequalities
- maxima and minima
- number theory
- rational functions
- Convergence of sequences
- complex l squared space
- exponentials
- finite sums
- logarithms
- recurrences
- Convergence of series
- convergence criteria
- exponentials
- factorials
- functions
- harmonic series
- inequalities
- logarithms
- partial sums
- polynomials
- powers
- primes
- summability
- tails
- Cosine transform
- Curves
- barycentric coordinates
- curve stitching
- horizontal tangents
- parametric curves
- second derivatives
- sketching
- space curves
- tangent-normals
- tangents
- transformations
- Derivatives
- chain rule
- convex functions
- decimal representation
- finite sums
- functions
- Gateaux and Frechet derivatives
- higher derivatives
- inequalities
- maxima and minima
- monotone functions
- one-sided derivatives
- roots
- Diffeomorphisms
- Differential equations
- domain of definition
- initial value problems
- order 2
- order 3
- order n
- Riccati equation
- separable equations
- Folium of Descartes
- Fourier series
- Fractional parts
- Functions
- 3 variables
- analytic
- composition of functions
- continuous functions
- convex functions
- differentiable functions
- entire functions
- graphs
- infinite series
- linear
- meromorphic functions
- monotone functions
- periodic
- polynomials
- real-valued functions
- uniform continuity
- Gamma function
- Hypergeometric functions
- differential-recurrence relations
- evaluations
- gamma function
- positive integers
- transformations
- Inequalities
- centroids
- infinite sums
- point moving in a square
- Infinite products
- Infinite sums
- binomial coefficients
- doubly infinite series
- exponentials
- factorials
- floor function
- fractions
- integrals
- multinomial coefficients
- nearest neighbor
- radicals
- Integral inequalities
- definite integrals
- derivatives
- improper integrals
- improper Riemann integrals
- Integrals
- area
- binomial coefficients
- Claussen's integral
- differentiability
- double integrals
- evaluations
- finite products
- finite sums
- fractional integrals
- functions
- gamma function
- improper double integrals
- improper integrals
- maxima and minima
- multiple integrals
- principal value
- triple integrals
- Laplace transforms
- Legendre polynomials
- Limits
- binomial coefficients
- exponentials
- factorials
- finite products
- finite sums
- floor function
- functions
- inequalities
- infinite products
- infinite sums
- iterated functions
- logarithms
- nearest integer
- normed spaces
- number theory
- radicals
- recurrences
- sequences
- sum of powers
- sum of products
- trigonometry
- Location of zeroes
- complex variables
- determinants
- exponential equations
- exponentials
- orthogonal polynomials
- polynomials
- Maclaurin series
- Maxima and minima
- geometry
- polynomials
- trigonometric series
- Measure theory
- almost everywhere linear functions
- arcs
- Borel sets
- Cantor-Lebesgue function
- computational complexity
- finitely-additive measures
- finitely additive measures
- harmonic analysis
- homeomorphisms
- integrals
- Lebesgue integrals
- measurable functions
- polynomials
- residual subsets
- unit circle
- Partial derivatives
- Power series
- coefficients
- factorials
- integrals
- Properties of functions
- Pursuit problems
- circles
- pigs
- rabbits
- ships
- Rate problems
- Riemann zeta function
- inequalities
- infinite sums
- limits
- Sequences
- density
- infinite matrices
- infinite series
- iterated functions
- limit point
- limits
- logarithmic convexity
- pairs of sequences
- power series
- Systems of differential equations
- 2x2 homogeneous systems
- 2x2 non-linear systems of ODE's
- 2x2 systems of non-linear ordinary differential equations
- 2x2 systems of ordinary differential equations
- 3x3
- degree 2
- nxn
- Theta series
- Applied Mathematics
- Airplanes
- Astronomy
- Computer science
- Electrical networks
- Physics
- buoyancy
- cogwheels
- equations of motion
- knots
- masses
- moving particles
- particles
- pendulums
- rods
- rolling particles
- rotation
- Combinatorics
- Arrays
- array operations
- Bingo
- hexagons
- nim
- paths
- positive and negative
- rank
- symbols in squares
- Ballots
- Card shuffling
- Coloring problems
- circles
- intervals
- points in a square
- points in plane
- points in space
- points on a circle
- prisms
- triangles
- Compositions
- Computational complexity
- Configurations
- collections of objects
- collinear points
- committees
- couples
- docking
- groups of people
- Latin rectangles
- Latin squares
- leagues
- maxima and minima
- v-k-lambda
- Counting problems
- average value
- billiards
- cards
- combinations
- inversions
- parenthesization
- paths
- Scrabble
- sequences
- stacking of balls
- subsets
- targets
- Dice problems
- Digit problems
- binary numbers
- consecutive digits
- distinct digits
- increasing or decreasing
- normal integers
- page numbers
- partitions
- permutations
- product of digits
- Elevators
- Geometry
- circles
- configurations
- distances
- hexagons
- Hilbert space
- lines in a plane
- n-dimensional geometry
- partitions
- pentagons
- points in plane
- points in space
- polygons
- tetrahedra
- toothpicks
- Graph theory
- arrays
- directed walks
- distance
- Eulerian circuits
- Hamiltonian circuits
- infinite tree
- matchings
- matrices
- networks
- Petersen graph
- planar graphs
- properties
- reconstruction
- subgraphs
- vertex degrees
- Lattice paths
- Lattice points
- Letters and envelopes
- Locks and keys
- Measuring problems
- Money problems
- coin tossing
- maxima and minima
- stamps
- Mutual acquaintances
- 10 people
- 5 people
- 6 people
- circular table
- groups of 4 people
- hand shakes
- Pascal's triangle
- Paths
- Permutations
- cycles
- digits
- fixed points
- products of transpositions
- rises
- sorting
- up-down permutations
- vector products
- Points on circle
- Polygon counting
- equilateral triangles
- parallelograms
- rectangles
- squares
- triangles
- Prisoners
- Seating arrangements
- Sequences
- Series
- Sets of numbers
- closure properties
- counting problems
- odd and even
- Ramsey Theory
- sums
- Sorting
- Substitution codes
- Switches
- Tournaments
- algorithms
- chess tournaments
- incidence matrices
- tennis
- Word formation
- counting problems
- good arrangements
- Cryptarithms
- Alphametics
- animals
- base conversions
- cards
- chemical equations
- chess moves
- Christmas
- colors
- congruences
- constructions
- crossword puzzle
- division
- doubly true
- elements
- equations
- Etruscan
- factorials
- fish
- floor function
- food
- formulas
- German
- Hebrew
- indefinite sums
- Japanese
- measures
- money
- multiplication
- names
- numbers
- phrases
- places
- planets
- Polish
- Pythagorean alphametics
- radicals
- simultaneous alphametics
- squares
- states
- story problems
- words
- Digimetics
- Encrypted messages
- encrypted date
- geometry
- Integrals
- Multiplication
- Powers
- Prime factorization
- Repeating decimals
- Simultaneous cryptarithms
- Skeletons
- division
- multiplication
- square roots
- Word squares
- squares
- Geometry
- Affine transformations
- Analytic geometry
- area
- centroids
- circles
- conics
- distance
- family of lines
- locus
- maxima and minima
- parametric equations
- polar curves
- symmetry
- Angle measures
- circles
- slope
- Annulus
- area
- covering problems
- rectangles
- Arbelos
- Butterfly problem
- Cake cutting
- Chain of circles
- tangent circles
- Characterizations
- circles
- concurrence
- equilateral triangle
- limiting figures
- semicircles
- star of David
- triangles
- Circles
- angles
- arcs
- area
- chords
- concurrent circles
- mixtilinear triangles
- orthogonal circles
- two circles
- Combinatorial geometry
- circles
- lines in a plane
- regions
- triangulations
- Conics
- conjugates
- constructions
- hexagon
- hyperbolas
- projective geometry
- quadratic relations
- Constructibility
- Constructions
- angles
- chords
- circles
- conics
- equilateral triangles
- lines
- points
- rulers
- squares
- straightedge only
- triangles
- Convexity
- balls
- buoyancy
- corners
- diameters
- inequalities
- ovals
- points of symmetry
- radius of curvature
- Steiner symmetrizations
- Covering problems
- covering a square
- covering a triangle
- covering of points
- perimeter
- Cyclic quadrilaterals
- angle bisectors
- n-dimensional geometry
- parallelograms
- perpendiculars
- ratios
- Differential geometry
- Dissection problems
- circles
- isosceles triangles
- polygons
- quadrilaterals
- rectangles
- rhombuses
- right triangles
- squares
- triangles
- Ellipses
- area
- chords
- focal radii
- inscribed in kite
- inscribed in rhombus
- inscribed in triangle
- maxima and minima
- parabolas
- regions
- tangent ellipses
- Envelopes
- Equilateral triangles
- altitudes
- area
- centroids
- circles
- circumcircle
- concentric triangles
- hexagons
- interior point
- maxima and minima
- orthogonal projection
- reflections
- right triangles
- semicircles
- squares
- Fallacies
- Family of lines
- Grazing goat
- Hexagons
- circles
- closure theorems
- conic sections
- convex hexagons
- equiangular
- equilateral triangles
- opposite sides parallel
- Inequalities
- altitudes
- area
- circumcircle
- medians
- parallelograms
- point in triangle
- points in plane
- polygons
- quadrilaterals
- radii
- trapezoids
- triangles
- Isoperimetric inequalities
- area
- polygons
- squares
- Isosceles right triangles
- Ladders
- Lattice points
- area
- center of gravity
- centroids
- collinear points
- discs
- distances
- mappings
- midpoints
- spirals
- taxicab metric
- Lattice polygons
- equilateraltriangles
- lattice polyhedra
- lattice triangles
- regular pentagons
- right triangles
- squares
- triangles
- Lehmus's Theorem
- Limiting figures
- chain of circles and polygons
- circles
- incribed triangles and circles
- polygons
- quadrilaterals
- right triangles
- triangles
- Locus
- angles
- area
- circles
- conics
- ellipses
- equilateral triangles
- hyperbolas
- hyperboloids
- linkages
- parabolas
- parallel lines
- right triangles
- squares
- triangles
- trigonometry
- Malfatti circles
- Map problems
- Maxima and minima
- area
- circular arcs
- compact subsets of the plane
- corridors
- curves
- excircles
- incircle
- isosceles triangles
- rectangles
- right triangles
- shortest paths
- solid geometry
- triangles
- N-dimensional geometry
- combinatorial geometry
- cubes
- distances
- n-cube
- rectangular parallelepiped
- regular simplex
- simplex
- unit ball
- volume
- width
- Non-Euclidean geometry
- Packing problems
- Paper folding
- circles
- cubes
- equilateral triangles
- octahedron
- regular tetrahedron
- tetrahedrons
- Parabolas
- circles
- derivatives
- normals
- tangents
- Parallelograms
- area
- convex quadrilaterals
- directly similar triangles
- midpoint property
- right triangles
- Pentagons
- Pigeonhole
- annulus
- circles
- equilateral triangles
- regular hexagons
- Points in plane
- Polygons
- equilateral
- hexagons
- reflex angles
- sum of diagonals
- Projective geometry
- 5th dimension
- cross ratio
- homogeneous coordinates
- photographs
- projective 3-space
- straight lines
- triangles
- Quadrilaterals
- area
- centroid
- circles
- circumscribed
- erected figures
- inscribed and circumscribed
- maxima and minima
- perpendicular diagonals
- perpendicular lines
- Rectangles
- circles
- equilateral triangles
- golden rectangle
- inscribed
- triangles
- Regular dodecagons
- Regular heptagons
- Regular hexagons
- Regular octagons
- Regular pentagons
- Regular polygons
- angles
- area
- inequalities
- infinite products
- inscribed polygon
- interior point
- limits
- maxima and minima
- rigidity
- sum of segments
- Right triangles
- altitudes
- circular arcs
- erected figures
- incircle
- interior points
- length of sides
- perimeter
- perpendiculars
- radii
- rectangles
- similar triangles
- square on hypotenuse
- Rolling
- Rusty compass
- Semicircles
- Similarity
- cevians
- directly similar
- triangles
- Squares
- areas
- circles
- determination of angles
- inscribed in triangle
- interior line segments
- interior point
- lengths
- paths
- right triangles
- Sylvester's Theorem
- Tessellations
- Chinese checkerboard
- equilateral triangles
- hexagons
- rectangles
- squares
- Tiling
- Trapezoids
- areas
- cyclic
- harmonic range
- sides
- Triangle inequalities
- altitudes
- altitudes and medians
- angle bisectors
- angle bisectors and medians
- angle bisectors extended
- angles
- angles and radii
- angles and sides
- Brocard angle
- circumradii extended
- interior points
- medians and sides
- medians extended
- point in space
- radii
- radii and sides
- sides
- sides and area
- two triangles
- Triangles
- 120 degree angle
- altitudes
- angle bisectors
- area
- Brocard angles
- centers
- centroids
- cevial triangles
- cevians
- circles
- circumcircles
- equal areas
- erected figures
- excircles
- exradii
- incenter
- inscribed circles
- inscribed squares
- inscribed triangle
- interior point
- isosceles triangles
- length
- limits
- medial triangle
- medians
- orthocenter
- relations among parts
- special types
- symmedians
- transformations
- Vectors
- Higher Algebra
- Binary operations
- number theory
- polynomials over fields
- Fields
- Galois theory
- Groups
- affine motion
- alternating and symmetric groups
- alternating group
- center by finite groups
- character theory
- commutativity conditions
- complex numbers
- finite groups
- groups of isometries
- homomorphisms
- isomorphisms
- normal subgroups
- permutation groups
- sets
- simple non-abelian groups
- subgroups
- triangles
- Lattices
- Rings
- associative ring
- commutative rings
- division rings
- divisors of zero
- endomorphisms
- equations
- group of units
- ideals
- lattices
- linear algebra
- modules over commutative rings
- partial ordering
- R-modules
- squares
- Semigroups
- Linear Algebra
- Determinants
- limits
- maxima and minima
- partitioned matrices
- singular
- submatrices
- Eigenvalues
- commuting matrices
- complex numbers
- Gram matrix
- Hermitian matrices
- pairs of matrices
- polynomials
- real tri-diagonal matrices
- Eigenvectors
- Gram-Schmidt process
- Hilbert spaces
- Linear transformations
- Maps
- Matrices
- 0-1 matrices
- adjoints
- column vectors
- Hermitian
- inequalities
- inverses
- orthogonal
- Perron roots
- positive definite
- positive semidefinite
- reflection
- skew symmetric
- stochastic matrices
- submatrices
- symmetric
- triangular
- Vandermonde
- Matrix equations
- Matrix sequences
- Minimal polynomials
- Normed spaces
- Permanents
- Rank
- matrices
- nonsingular matrix
- Trace
- Vector spaces
- Number Theory
- Abundant numbers
- Additive number theory
- Algebraic number theory
- Algorithms
- Amicable numbers
- Arithmetic operations
- Arithmetic progressions
- 1983
- cubes
- powers
- primes
- squares
- sum of squares
- ternary representation
- triangular numbers
- Arrays
- 3 by 3
- cubical array
- divisibility
- finite sums
- hexagons
- infinite arrays
- multiples
- n by n
- nine non-zero digits
- numbers in an array
- pandigital numbers
- pentagons
- primes
- relatively prime integers
- sum of products
- sum of series
- Base systems
- base 2
- digit reversals
- divisibility
- factorials
- hexagonal numbers
- logic
- maxima and minima
- negative base systems
- palindromes
- parity
- permutations
- primes
- repdigits
- squares
- terminal digits
- Beatty's Theorem
- Bernoulli numbers
- Binomial coefficients
- analysis
- combinatorics
- congruences
- consecutive
- divisibility
- finite sums
- inequalites
- odd and even
- powers
- primes
- remainders
- Collatz problem
- insomniac numbers
- sequences
- Composite numbers
- Congruences
- binomial coefficients
- coprime integers
- divisors
- Euler numbers
- exponential
- Fermat
- primes
- quadratic
- recurrences
- triangular numbers
- Continued fractions
- Cubes
- Decimal representation
- approximations
- automorphic numbers
- digit problems
- digit sums
- period
- periods
- recursion equations
- sequences of squares
- Dedekind's function
- Deficient numbers
- Dense sets
- Difference equations
- congruences
- exponentials
- Fibonacci numbers
- nth differences
- second order
- Digit problems
- base conversion
- cancelled digits
- consecutive digits
- cubes
- cyclic shift
- cyclically consecutive
- deleted digit
- distinct digits
- divisibility
- inequalities
- interchanged digits
- juxtapositions
- maxima and minima
- missing digits
- multiples
- multiplicative digital root
- numerical evaluation
- partitions
- permutations
- powers
- primes
- product of consecutive integers
- pronic numbers
- reversals
- squares
- sum of cubes of digits
- sum of digits
- sum of squares of digits
- terminal digits
- Diophantine equations
- degree 11
- degree 2
- degree 3
- degree 4
- degree 5
- degree 8
- exponential equations
- factorials
- Fermat's Problem
- Fibonacci numbers
- linear equations
- primes
- radicals
- solution in primes
- solution in rationals
- systems of equations
- Diophantine representation
- Divisibility
- binomials
- consecutive divisors
- consecutive integers
- exponentials
- factorials
- finite products
- finite sums
- infinite sums
- polynomials
- primes
- remainders
- Divisors
- 1981
- finite sums
- number of divisors
- powers of 2
- product of divisors
- quadratic forms
- Equations
- Euler totient
- composite numbers
- congruences
- Dirichlet set
- divisibility
- finite series
- finite sums
- inequalities
- limits
- modulo arithmetic
- primes
- series
- summation
- Factorials
- factorization
- fractions
- inequalities
- pandigital numbers
- prime factorization
- squares
- summation of series
- terminal digits
- terminal zeroes
- Farey sequences
- Fermat numbers
- Fibonacci and Lucas numbers
- arithmetic means
- congruences
- divisibility
- finite sums
- forms
- geometry
- identities
- probability
- progressions
- Fibonacci numbers
- congruences
- covering problems
- factors
- finite sums
- forms
- geometry
- greatest common divisor
- identities
- infinite products
- infinite sums
- properties
- Floor function
- absolute values
- cube roots
- Euler totient
- finite sums
- forms of numbers
- golden ratio
- identities
- number of solutions
- odd and even
- sequences
- square roots
- summation
- Forms of numbers
- Boneh numbers
- congruences
- difference of two squares
- exponentials
- finite series
- primes
- rational numbers
- squares
- Fractional parts
- exponential equations
- powers
- primes
- sqrt 5
- Gaussian sums
- Generating functions
- Geometry
- area
- chessboards
- dissection
- divisibility
- hexagons
- integral distances
- Plutarch
- pyramids
- rectangles
- rectangular parallelepipeds
- right triangles
- semicircles
- squares
- tetrahedra
- triangles
- Goldbach's conjecture
- Greatest common divisor
- Harmonic series
- Heronian triangles
- Higher order recurrences
- Inequalities
- absolute value
- divisibility
- exponential
- fractional negative exponents
- multiples
- products
- rational expressions
- sum of series
- Integer-valued polynomials
- Least common multiple
- committees
- ordered quadruples
- series
- Legendre symbol
- finite sums
- primes
- quadratic reciprocity
- Lucas numbers
- congruences
- divisibility
- divisibility properties
- forms
- geometry
- identities
- polynomial divisibility
- right triangles
- ring of integers modulo n
- trigonometry
- Maxima and minima
- distances
- divisibility
- partitions
- powers
- products
- radicals
- sum of two squares
- Mersenne numbers
- Modular arithmetic
- factorials
- infinite sums
- iterated exponentials
- Legendre symbol
- odd integers
- sum of series
- Moebius function
- Monotone functions
- Multigrades
- Multiplicative functions
- Normal numbers
- Number representations
- cubes
- powers of 2
- simplification of radicals
- sum of fourth powers
- Palindromes
- base systems
- concatenation of squares
- infinite sums
- pandigital numbers
- prime factors
- primes
- products
- squares
- Pandigital numbers
- divisibility
- maxima and minima
- multiples
- palindromes
- persistent numbers
- power of prime
- powers
- primes
- square and cube roots starting pandigitally
- square roots
- squares
- Partitions
- inequalities
- maxima and minima
- maximum product
- partitions of 12
- perfect partitions
- sum of elements
- Pascal's triangle
- Pell numbers
- Perfect numbers
- Permutations
- matrices
- maxima and minima
- multipliers
- power loops
- products
- Polygonal numbers
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