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sona nanpa (lipu 300)

[o ante e toki ilo]

Basics, 58

[o ante e toki ilo]
  1. Mathematics → sona nanpa
  2. Mathematician
  3. Arithmetic → sona nanpa pona
    1. Addition
      1. Euclidean algorithm
    2. Fraction (mathematics)
    3. Modular arithmetic
    4. Multiplication
    5. Percentage
    6. Subtraction
  4. Conjecture
  5. Mathematical constant
    1. 0 (number)
    2. 1 (number)
    3. −1 (number)
    4. Pi → nanpa sike
    5. e (mathematical constant)
  6. Numerical digit
    1. Equation → sama nanpa
    2. Equation solving
    3. Polynomial
    4. Quadratic equation
    5. System of linear equations
    6. Series (mathematics)
  7. Factorial
    1. Gamma function
  8. Formula
    1. Function (mathematics) → ante nanpa anu pali nanpa
    2. Exponentiation
    3. Exponential function
    4. Function composition
    5. Logarithm
    6. Square root
  9. Hilbert's problems
    1. Number → nanpa
    2. Complex number → nanpa ike
    3. Imaginary number
    4. Integer
    5. Irrational number
    6. Natural number
    7. Rational number
    8. Real number
  10. Positional notation
    1. Arabic numerals
    2. Binary number
    3. Decimal
    4. Roman numerals
  11. Theorem
    1. Pythagorean theorem
    2. Trigonometry → sona pi nanpa tu wan
    3. Inverse trigonometric functions
    4. Trigonometric functions
    5. Hyperbolic function
  12. Variable (mathematics)
  13. Constant (mathematics)
  14. Golden ratio
  15. Multiplication table

Algebra, 41

[o ante e toki ilo]
  1. Algebra
  2. Abstract algebra
    1. Algebraic topology
      1. Sheaf (mathematics)
    2. Associative property
    3. Commutative algebra
    4. Commutative property
    5. Distributive property
    6. Field (mathematics)
    7. Fundamental theorem of algebra
    8. Group (mathematics)
      1. Abelian group
      2. Classification of finite simple groups
      3. Fundamental group
      4. Group representation
      5. Group theory
    9. Homological algebra
    10. Isomorphism
    11. Module (mathematics)
    12. Representation theory
    13. Ring theory
      1. Commutative ring
      2. Field theory (mathematics)
      3. Galois theory
      4. Ring (mathematics)
  3. Algebraic geometry
    1. Algebraic variety
  4. Boolean algebra
  5. Elementary algebra
    1. Linear equation
  6. Inequality
    1. Linear algebra → sona palisa
    2. Gaussian elimination
    3. Matrix (mathematics)
      1. Determinant
      2. Eigenvalues and eigenvectors
    4. Vector space
      1. Euclidean vector
        1. Cross product
        2. Dot product
  7. Multilinear algebra

Calculus and analysis, 38

[o ante e toki ilo]
  1. Mathematical analysis → sona lili pi sona nanpa
    1. Complex analysis
      1. Cauchy's integral formula
      2. Euler's formula
      3. Euler's identity
      4. Holomorphic function
      5. Riemann surface
    2. Functional analysis
    3. Harmonic analysis
      1. Fourier analysis
      2. Fourier series
      3. Fourier transform
    4. Numerical analysis
      1. Mathematical optimization
    5. Riemann sphere
  2. Calculus
    1. Fundamental theorem of calculus
    2. Differential calculus
      1. Derivative
    3. Differential equation → sama pi nanpa lili
      1. Ordinary differential equation
    4. Integral
      1. Laplace transform
    5. Multivariable calculus
      1. Multiple integral
      2. Partial derivative
        1. Laplace's equation
        2. Partial differential equations
      3. Vector calculus
    6. Taylor series
    7. Calculus of variations
    8. Infinity → nanpa pi pini ala
  3. Limit (mathematics)
    1. Limit of a sequence
    2. Sequence
      1. Fibonacci number
  4. Real analysis
  5. Approximation theory

Discrete mathematics, 22

[o ante e toki ilo]
  1. Discrete mathematics
  2. Combinatorics
    1. Permutation
  3. Graph theory
    1. Four color theorem
    2. Graph (mathematics)
  4. Mathematical logic
    1. Axiom
    2. Computability theory
      1. Computable function
    3. Gödel's incompleteness theorems
    4. Mathematical induction
    5. Mathematical proof → tan pi sona nanpa
    6. Propositional calculus
    7. Set theory → sona pi kulupu pi ijo ante
    8. Axiom of choice
    9. Cantor's theorem
    10. Empty set
    11. Equivalence relation
    12. Naive set theory
      1. Russell's paradox
    13. Set (mathematics)

Geometry, 64

[o ante e toki ilo]
  1. Geometry → sona sijelo
  2. Analytic geometry
    1. Angle → kipisi sike lon kama wan
  3. Congruence (geometry)
    1. Coordinate system → nasin pi sona ma
    2. Cartesian coordinate system
    3. Polar coordinate system
  4. Differential geometry
    1. Atiyah–Singer index theorem
  5. Dimension (mathematics and physics)
  6. Distance
    1. Area → lipu
  7. Length
  8. Volume
    1. Plane (geometry)
    2. Three-dimensional space
    3. Two-dimensional space
  9. Euclidean geometry
    1. Euclidean space
  10. Fractal
    1. Mandelbrot set
  11. Hilbert space
  12. Line (geometry)
  13. Metric space
  14. Non-Euclidean geometry
  15. Parallel (geometry)
  16. Point (geometry)
  17. Riemannian geometry
  18. Similarity (geometry)
    1. Symmetry → sama poka
  19. Tensor
  20. Topology
    1. Compact space
    2. Euler characteristic
    3. General topology
    4. Homology
    5. Homotopy
    6. Knot theory
    7. Manifold
    8. Open set
    9. Poincaré conjecture
    10. Topological space
Shape
  1. Conic section
    1. Circle
    2. Ellipse
    3. Parabola
    4. Hyperbola
  2. Polygon
    1. Hexagon
    2. Pentagon
    3. Quadrilateral
      1. Parallelogram
      2. Rectangle
      3. Rhombus
      4. Square
      5. Trapezoid
    4. Triangle
      1. Reuleaux triangle
  3. Polyhedron
    1. Cube
    2. Prism (geometry)
    3. Pyramid (geometry)
  4. Sphere
  5. Convex set
  1. Applied mathematics
    1. Information theory
    2. Information entropy
  2. Category theory
    1. Category (mathematics)
    2. Commutative diagram
  3. Dynamical system
    1. Nonlinear system
      1. Chaos theory
  4. Control theory
  5. Game theory
    1. Number theory
    2. Algebraic number theory
      1. Algebraic number field
      2. Class field theory
    3. Analytic number theory
      1. Riemann hypothesis
    4. Diophantine equation
    5. Fermat's Last Theorem
    6. Fundamental theorem of arithmetic
    7. Prime number
      1. Prime number theorem
  6. Operations research
  7. Pure mathematics
  8. Theoretical computer science
    1. Computational complexity theory
    2. Theory of computation
  9. Linear programming
  10. Nonlinear programming
  11. P versus NP problem
  12. Principal component analysis
  13. Econometrics

Probability and statistics, 45

[o ante e toki ilo]
    1. Probability → ken
    2. Probability theory
    3. Bayes' theorem
    4. Central limit theorem
    5. Expected value
    6. Law of large numbers
    7. Markov chain
    8. Probability density function
    9. Probability distribution
      1. Binomial distribution
      2. Chi-squared distribution
      3. Exponential distribution
      4. Normal distribution
        1. Multivariate normal distribution
      5. Pareto distribution
      6. Poisson distribution
      7. Student's t-distribution
      8. Uniform distribution (continuous)
      9. Uniform distribution (discrete)
    10. Probability space
    11. Stochastic process
    12. Statistics
    13. Bayesian inference
    14. Chi-squared test
    15. Correlation and dependence
    16. Linear regression
    17. Margin of error
    18. Mean
      1. Arithmetic mean
    19. Median
    20. Maximum likelihood
    21. Mode
    22. P-value
    23. Random variable
    24. Regression analysis
    25. Standard deviation
    26. Standard error
    27. Statistical hypothesis testing
    28. Student's t-test
  2. Variance
  3. Design of experiments
  4. Randomized controlled trial
  5. Survey methodology
  6. Statistical population
  7. Sampling (statistics)
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