Վիքիպեդիա:Կարևորագույն հոդվածներ/մակարդակ/5/Մաթեմատիկա

Կարևորագույն հոդվածներ
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Vital articles is a list of subjects for which Wikipedia should have corresponding high-quality articles. It serves as a centralized watchlist to track the status of Wikipedia's most essential articles. This is one of the sub-lists of the fifty thousand article Vital articles/Level 5 and is currently under construction.

Վիքիպեդիա:Vital articles 5/Labels

Կաղապար:Huge

See also: People: Mathematicians

Basics (114 articles) խմբագրել

  1. B-Class article Նախկին լավ հոդված Mathematics (Level 1)
    1. B-Class article Mathematician (Level 4)
      1. B-Class article Fields Medal
    2. B-Class article Applied mathematics (Level 4)
    3. B-Class article Pure mathematics (Level 4)
    4. Start-Class article Recreational mathematics
  2. B-Class article Arithmetic (Level 2)
    1. Start-Class article Counting
      1. B-Class article Cardinal number
      2. Stub-Class article Tally marks
    2. Լավ հոդված Addition (Level 4)
      1. C-Class article Plus and minus signs
    3. B-Class article Subtraction (Level 4)
    4. C-Class article Multiplication (Level 4)
      1. C-Class article Multiplication sign
      2. Start-Class article Multiplication table
      3. B-Class article Product
    5. C-Class article Division (Level 4)
      1. Start-Class article Division sign
      2. Ընտրյալ հոդված Euclidean algorithm (Level 4)
      3. Start-Class article Long division
      4. B-Class article Division by zero
      5. C-Class article Failed good article nominee Divisibility rule
    6. B-Class article Fraction (Level 3)
      1. B-Class article Percentage (Level 4)
        1. C-Class article Percent sign
      2. C-Class article Continued fraction
      3. Start-Class article Egyptian fraction
    7. B-Class article Modular arithmetic (Level 4)
      1. Start-Class article Modulo operation
    8. C-Class article Divisor
      1. C-Class article Greatest common divisor
      2. Start-Class article Lowest common denominator
    9. Start-Class article Multiple
      1. C-Class article Least common multiple
  3. B-Class article Failed good article nominee Number (Level 2)
    1. B-Class article Natural number (Level 3)
    2. B-Class article Integer (Level 3)
      1. C-Class article Parity (Level 4)
    3. B-Class article Real number (Level 3)
      1. B-Class article Negative number (Level 4)
      2. C-Class article Sign
    4. B-Class article Complex number (Level 3)
      1. C-Class article Gaussian integer
    5. C-Class article Rational number (Level 4)
      1. C-Class article Ratio
    6. B-Class article Irrational number (Level 4)
    7. C-Class article Imaginary number (Level 4)
    8. C-Class article Algebraic number
    9. B-Class article Transcendental number
    10. Start-Class article Լավ հոդված Constructible number
    11. Start-Class article Computable number
    12. B-Class article Normal number
  4. C-Class article Positional notation (Level 4)
    1. B-Class article Numerical digit (Level 4)
    2. B-Class article Decimal (Level 4)
      1. C-Class article Decimal separator
    3. B-Class article Numeral system
      1. B-Class article Arabic numerals (Level 3)
      2. C-Class article Roman numerals (Level 4)
    4. B-Class article Binary number (Level 4)
    5. C-Class article Ternary numeral system
    6. Start-Class article Quaternary numeral system
    7. Start-Class article Quinary
    8. C-Class article Octal
    9. B-Class article Duodecimal
    10. B-Class article Hexadecimal
    11. C-Class article Vigesimal
    12. C-Class article Sexagesimal
  5. B-Class article Scientific notation (Level 4)
  1. Start-Class article Operation
    1. C-Class article Order of operations (Level 4)
  2. B-Class article Equation (Level 3)
    1. C-Class article Equation solving (Level 4)
    2. B-Class article Polynomial (Level 4)
      1. Start-Class article Monomial
      2. Start-Class article Binomial
      3. Start-Class article Trinomial
  3. C-Class article Variable (Level 3)
  4. C-Class article Constant (Level 4)
    1. Ընտրյալ հոդված (Level 3)
    2. Լավ հոդված e (Level 3)
    3. B-Class article i (Level 4)
    4. B-Class article Golden ratio (Level 4)
    5. B-Class article −1 (Level 4)
    6. B-Class article 0 (Level 3)
    7. B-Class article 1 (Level 4)
    8. C-Class article 2
    9. C-Class article 3
    10. C-Class article 4
    11. C-Class article 5
    12. C-Class article 6
    13. Start-Class article 7
    14. C-Class article 8
    15. C-Class article 9
    16. C-Class article 10
    17. B-Class article Square root of 2
    18. B-Class article Euler's constant
    19. Start-Class article Feigenbaum constants
  5. B-Class article Mathematical proof (Level 3)
    1. B-Class article Formula (Level 4)
    2. C-Class article Identity (mathematics)
    3. B-Class article Theorem (Level 4)
      1. Start-Class article Corollary
      2. Start-Class article Lemma
    4. B-Class article Conjecture (Level 4)
  6. Start-Class article Mathematical problem
    1. B-Class article Failed featured list candidate Hilbert's problems (Level 4)
    2. Start-Class article Mathematical puzzle
  7. C-Class article Approximation
    1. Start-Class article Estimation
    2. Start-Class article Extrapolation
  8. Start-Class article Mathematical notation
  9. C-Class article Mathematical constant

Functions (88 articles) խմբագրել

General (41 articles) խմբագրել

  1. B-Class article Function (Level 3)
  2. Start-Class article Algebraic function
  3. C-Class article Function of a real variable
    1. C-Class article Function of several real variables
  4. B-Class article Arithmetic function
    1. Start-Class article Additive function
    2. Start-Class article Multiplicative function
  5. C-Class article Inverse function (Level 4)
  6. C-Class article Implicit function (Level 4)
  7. B-Class article Function composition (Level 4)
  8. C-Class article Graph of a function (Level 4)
  9. C-Class article Parametric equation (Level 4)
  10. C-Class article Even and odd functions
  11. Start-Class article Piecewise
  12. B-Class article Bijection, injection and surjection
    1. Start-Class article Injective function
    2. B-Class article Surjective function
    3. C-Class article Bijection
  13. Start-Class article Domain of a function
  14. C-Class article Range of a function
  15. Start-Class article Zero of a function
  16. Start-Class article Fixed point
  17. C-Class article Critical point
    1. B-Class article Stationary point
      1. C-Class article Maxima and minima
      2. Start-Class article Saddle point
    2. C-Class article Inflection point
  18. C-Class article Failed good article nominee Limit of a function (Level 4)
  19. Start-Class article Multivalued function
  20. B-Class article Partial function
  21. Start-Class article Reflection
  22. C-Class article Rotation
  23. Start-Class article Scaling
  24. Start-Class article Bounded function
  25. Start-Class article Vector-valued function
  26. Start-Class article Real-valued function
  27. C-Class article Analytic function
    1. C-Class article Entire function
  28. C-Class article Elliptic function
  29. C-Class article Periodic function
  30. C-Class article Curvature

Specific functions (47 articles) խմբագրել

  1. Start-Class article Elementary function
  2. C-Class article Rational function
    1. C-Class article Linear function
      1. C-Class article Negation
      2. Start-Class article Constant function
      3. C-Class article Identity function
    2. C-Class article Quadratic function
      1. C-Class article Square
    3. C-Class article Cubic function
  3. C-Class article Exponentiation (Level 3)
    1. B-Class article Exponential function (Level 4)
    2. B-Class article Exponential growth
    3. C-Class article Gaussian function
    4. Start-Class article Knuth's up-arrow notation
  4. Ընտրյալ հոդված Logarithm (Level 3)
    1. C-Class article Common logarithm
    2. C-Class article Natural logarithm
    3. Լավ հոդված Binary logarithm
    4. B-Class article Complex logarithm
  5. B-Class article nth root (Level 3)
    1. B-Class article Square root (Level 4)
    2. C-Class article Cube root
  6. B-Class article Նախկին ընտրյալ հոդված Trigonometric functions (Level 4)
    1. B-Class article Sine and cosine
    2. B-Class article Inverse trigonometric functions
  7. C-Class article Hyperbolic functions (Level 4)
    1. Start-Class article Inverse hyperbolic functions
  8. B-Class article Bessel function
  9. B-Class article Floor and ceiling functions
  10. B-Class article Gamma function (Level 4)
    1. Լավ հոդված Factorial (Level 4)
      1. C-Class article Stirling's approximation
  11. C-Class article Prime-counting function
    1. B-Class article Euler's totient function
    2. C-Class article Möbius function
    3. B-Class article Riemann zeta function
  12. Start-Class article Weierstrass function
  13. C-Class article Error function
  14. Start-Class article Step function
    1. Start-Class article Heaviside step function
    2. Start-Class article Rectangular function
    3. C-Class article Sign function
  15. Լավ հոդված Dirac delta function
  16. C-Class article Kronecker delta
  17. B-Class article Absolute value
  18. B-Class article Lambert W function
  19. C-Class article Exponential integral

Geometry (139 articles) խմբագրել

General (14 articles) խմբագրել

  1. B-Class article Geometry (Level 2)
  2. B-Class article Coordinate system (Level 4)
    1. B-Class article Cartesian coordinate system (Level 4)
    2. C-Class article Cylindrical coordinate system
    3. C-Class article Նախկին ընտրյալ հոդված Polar coordinate system (Level 4)
    4. B-Class article Spherical coordinate system
  3. B-Class article Dimension (Level 4)
  4. Start-Class article Zero-dimensional space
    1. C-Class article Point (Level 4)
  5. Start-Class article One-dimensional space
    1. B-Class article Line (Level 3)
    2. C-Class article Curve (Level 4)
  6. C-Class article Congruence (geometry)
  7. C-Class article Similarity

Two-dimensional space (40 articles) խմբագրել

  1. B-Class article Two-dimensional space (Level 4)
  2. B-Class article Plane (Level 4)
    1. Start-Class article Coplanarity
  3. B-Class article Angle (Level 3)
    1. C-Class article Right angle (Level 4)
    2. Start-Class article Dihedral angle
    3. Start-Class article Internal and external angles
  4. B-Class article Polygon (Level 3)
    1. B-Class article Նախկին ընտրյալ հոդված Triangle (Level 3)
      1. C-Class article Equilateral triangle
      2. Լավ հոդված Isosceles triangle
      3. Լավ հոդված Reuleaux triangle
      4. C-Class article Right triangle
    2. C-Class article Quadrilateral (Level 4)
      1. C-Class article Square (Level 4)
      2. C-Class article Rectangle
      3. C-Class article Parallelogram
        1. C-Class article Rhombus
      4. C-Class article Trapezoid
    3. Start-Class article Pentagon
    4. C-Class article Hexagon
    5. Start-Class article Octagon
    6. Start-Class article Decagon
    7. C-Class article Regular polygon
  5. C-Class article Conic section (Level 3)
    1. B-Class article Circle (Level 3)
      1. Start-Class article Circumference
      2. C-Class article Radius
    2. C-Class article Ellipse (Level 4)
    3. C-Class article Parabola (Level 4)
    4. B-Class article Hyperbola (Level 4)
  6. C-Class article Cardioid
  7. C-Class article Cycloid
    1. C-Class article Brachistochrone curve
  8. C-Class article Lemniscate
  9. B-Class article Elliptic curve
  10. B-Class article Failed good article nominee Catenary
  11. C-Class article Parallel
  12. Start-Class article Perpendicular
  13. Stub-Class article Line–line intersection

Three-dimensional space (22 articles) խմբագրել

  1. B-Class article Three-dimensional space (Level 3)
  2. Start-Class article Solid geometry
    1. C-Class article Shape (Level 4)
    2. Start-Class article Size
    3. C-Class article Surface (mathematics)
  3. Start-Class article Cone
  4. C-Class article Cylinder
  5. B-Class article Sphere (Level 4)
  6. B-Class article Polyhedron (Level 4)
    1. B-Class article Regular polyhedron
    2. B-Class article Platonic solid
    3. C-Class article Cube (Level 4)
    4. Start-Class article Pyramid
      1. B-Class article Tetrahedron
    5. B-Class article Octahedron
    6. C-Class article Dodecahedron
      1. C-Class article Regular dodecahedron
    7. Start-Class article Icosahedron
      1. C-Class article Regular icosahedron
    8. Start-Class article Prism
  7. C-Class article Solid angle
  8. Start-Class article Skew lines

Four-dimensional space (8 articles) խմբագրել

  1. C-Class article Four-dimensional space
  2. C-Class article Rotations in 4-dimensional Euclidean space
  3. C-Class article 5-cell
  4. B-Class article Tesseract
  5. Start-Class article 16-cell
  6. B-Class article 24-cell
  7. C-Class article 120-cell
  8. Start-Class article 600-cell

Trigonometry (4 articles) խմբագրել

  1. B-Class article Failed good article nominee Trigonometry (Level 3)
  2. C-Class article Law of cosines
  3. C-Class article Law of sines
  4. Start-Class article Unit circle

Topology (12 articles) խմբագրել

  1. B-Class article Failed good article nominee Topology (Level 3)
  2. B-Class article General topology (Level 4)
  3. B-Class article Topological space (Level 4)
  4. B-Class article Compact space (Level 4)
  5. B-Class article Manifold (Level 4)
  6. C-Class article Open set (Level 4)
  7. C-Class article Homology (Level 4)
  8. B-Class article Homotopy (Level 4)
  9. B-Class article Euler characteristic (Level 4)
  10. B-Class article Knot theory (Level 4)
  11. B-Class article Poincaré conjecture (Level 4)
  12. B-Class article Winding number

Measurement (8 articles) խմբագրել

  1. B-Class article Failed good article nominee Area (Level 3)
    1. C-Class article Surface area
  2. C-Class article Volume (Level 3)
  3. Start-Class article Length (Level 4)
    1. C-Class article Perimeter
  4. C-Class article Height
  5. C-Class article Distance (Level 4)
    1. B-Class article Metric space (Level 4)

Euclidean geometry (5 articles) խմբագրել

  1. B-Class article Failed good article nominee Նախկին լավ հոդված Euclidean geometry (Level 4)
    1. B-Class article Euclidean space (Level 4)
    2. C-Class article Convex set (Level 4)
    3. Լավ հոդված Նախկին ընտրյալ հոդված Pythagorean theorem (Level 4)
  2. C-Class article Squaring the circle

Non-Euclidean geometry (6 articles) խմբագրել

  1. B-Class article Non-Euclidean geometry (Level 4)
    1. B-Class article Elliptic geometry
      1. Start-Class article Spherical geometry
    2. C-Class article Hyperbolic geometry
      1. B-Class article Hyperbolic angle
      2. Start-Class article Hyperbolic triangle

Other (20 articles) խմբագրել

  1. Start-Class article Bisection
  2. C-Class article Lattice
    1. C-Class article Minkowski's theorem
  3. C-Class article Locus
    1. Start-Class article Field line
  4. C-Class article Symmetry (Level 4)
    1. B-Class article Symmetry (geometry)
    2. B-Class article Symmetry in mathematics (Level 4)
  5. B-Class article Analytic geometry (Level 4)
  6. B-Class article Differential geometry (Level 4)
    1. B-Class article Riemannian geometry (Level 4)
    2. B-Class article Systolic geometry
  7. B-Class article Նախկին ընտրյալ հոդված Fractal (Level 4)
    1. B-Class article Cantor set
    2. B-Class article Julia set
    3. C-Class article Koch snowflake
    4. B-Class article Failed good article nominee Mandelbrot set
    5. B-Class article Sierpiński triangle
  8. C-Class article Tensor (Level 4)
  9. Լավ հոդված Tessellation (Level 4)

Algebra (74 articles) խմբագրել

General (2 articles) խմբագրել

  1. B-Class article Failed good article nominee Algebra (Level 3)
  2. Start-Class article Algebraic expression

Elementary algebra (5 articles) խմբագրել

  1. B-Class article Failed good article nominee Elementary algebra (Level 4)
  2. C-Class article Algebraic equation
    1. B-Class article Failed good article nominee Նախկին լավ հոդված Quadratic equation (Level 4)
      1. B-Class article Failed good article nominee Quadratic formula
    2. C-Class article Binomial theorem

Linear algebra (24 articles) խմբագրել

  1. B-Class article Նախկին լավ հոդված Linear algebra (Level 3)
  2. B-Class article Linear map
  3. B-Class article Linear equation (Level 4)
  4. B-Class article System of linear equations
  5. B-Class article Gaussian elimination (Level 4)
  6. C-Class article Jacobi method
  7. C-Class article Gauss–Seidel method
  8. C-Class article Cramer's rule
  9. C-Class article Successive over-relaxation
  10. C-Class article LU decomposition
  11. Լավ հոդված Matrix (Level 4)
    1. C-Class article Matrix addition
    2. B-Class article Matrix multiplication
    3. Start-Class article Transpose
    4. B-Class article Determinant (Level 4)
    5. B-Class article Նախկին ընտրյալ հոդված Eigenvalues and eigenvectors (Level 4)
    6. C-Class article Rank
  12. Լավ հոդված Vector space (Level 4)
    1. B-Class article Euclidean vector (Level 4)
    2. C-Class article Magnitude
      1. B-Class article Cross product (Level 4)
      2. C-Class article Dot product (Level 4)
    3. B-Class article Inner product space
    4. B-Class article Banach space

Abstract algebra (31 articles) խմբագրել

  1. C-Class article Abstract algebra (Level 3)
  2. B-Class article Algebraic topology (Level 4)
    1. B-Class article Sheaf (Level 4)
  3. C-Class article Associative property (Level 4)
  4. B-Class article Commutative algebra (Level 4)
  5. Լավ հոդված Commutative property (Level 4)
  6. C-Class article Distributive property (Level 4)
  7. Լավ հոդված Field (Level 4)
    1. B-Class article Finite field
    2. C-Class article Field extension
  8. B-Class article Fundamental theorem of algebra (Level 4)
  9. B-Class article Galois theory (Level 4)
  10. Ընտրյալ հոդված Group (Level 4)
    1. B-Class article Abelian group (Level 4)
    2. B-Class article Classification of finite simple groups (Level 4)
    3. B-Class article Fundamental group (Level 4)
    4. C-Class article Galois group
    5. B-Class article Group representation (Level 4)
    6. B-Class article Group theory (Level 4)
    7. C-Class article Modular group
    8. C-Class article Normal subgroup
  11. B-Class article Homological algebra (Level 4)
  12. C-Class article Isomorphism (Level 4)
  13. B-Class article Module (Level 4)
  14. C-Class article Multiplicative inverse
  15. B-Class article Representation theory (Level 4)
  16. B-Class article Ring theory (Level 4)
    1. C-Class article Algebra over a field
    2. B-Class article Commutative ring (Level 4)
    3. C-Class article Polynomial ring
    4. B-Class article Ring (Level 4)

Other algebra topics (12 articles) խմբագրել

  1. B-Class article Affine space
  2. B-Class article Algebraic geometry (Level 4)
    1. B-Class article Algebraic variety (Level 4)
    2. B-Class article Exterior algebra
    3. C-Class article Moduli space
    4. Start-Class article Quantum cohomology
  3. C-Class article Equality (mathematics)
  4. C-Class article Inequality (Level 4)
    1. B-Class article Cauchy–Schwarz inequality
    2. C-Class article Hölder's inequality
    3. B-Class article Jensen's inequality
  5. C-Class article Resultant

Statistics and probability (85 articles) խմբագրել

Statistics (48 articles) խմբագրել

  1. B-Class article Նախկին լավ հոդված Statistics (Level 2)
  2. C-Class article Bayesian inference (Level 4)
    1. Start-Class article Maximum a posteriori estimation
  3. C-Class article Bayesian statistics
    1. Start-Class article Credible interval
    2. Start-Class article Posterior probability
    3. Start-Class article Prior probability
  4. C-Class article Confidence interval
  5. B-Class article Correlation (Level 4)
    1. C-Class article Regression (Level 4)
      1. B-Class article Least squares (Level 4)
      2. B-Class article Linear regression
      3. C-Class article Logistic regression
  6. C-Class article Data visualization (Level 4)
  7. C-Class article Design of experiments (Level 4)
    1. B-Class article Randomized controlled trial (Level 4)
    2. Stub-Class article One-factor-at-a-time method
    3. Start-Class article Factorial experiment
    4. Start-Class article Fractional factorial design
    5. Start-Class article A/B testing
  8. Start-Class article Frequentist statistics
  9. B-Class article Mean (Level 4)
    1. C-Class article Arithmetic mean
    2. C-Class article Geometric mean
    3. C-Class article Harmonic mean
  10. B-Class article Maximum likelihood estimation
    1. C-Class article Expectation–maximization algorithm
  11. B-Class article Median (Level 4)
  12. C-Class article Meta-analysis (Level 4)
  13. B-Class article Mode (Level 4)
  14. Start-Class article Observational study (Level 4)
  15. C-Class article Principal component analysis
  16. Start-Class article Sample mean and covariance (Level 4)
  17. B-Class article Standard deviation (Level 4)
  18. C-Class article Standard error (Level 4)
  19. B-Class article Statistical hypothesis testing (Level 4)
    1. B-Class article p-value (Level 4)
    2. C-Class article Statistical significance
    3. C-Class article Chi-squared test (Level 4)
    4. B-Class article Student's t-test (Level 4)
  20. C-Class article Survey methodology (Level 4)
    1. Start-Class article Statistical population (Level 4)
    2. B-Class article Sampling (Level 4)
      1. B-Class article Monte Carlo method
      2. B-Class article Նախկին ընտրյալ հոդված Margin of error
      3. Sampling error
  21. B-Class article Type I and type II errors
  22. C-Class article Analysis of variance

Probability (37 articles) խմբագրել

  1. B-Class article Probability (Level 3)
  2. B-Class article Նախկին լավ հոդված Probability theory (Level 4)
  3. B-Class article Probability space
    1. C-Class article Event
      1. C-Class article Independence
    2. Sample space
      1. Outcome
  4. B-Class article Bayes' theorem (Level 4)
  5. B-Class article Central limit theorem (Level 4)
  6. C-Class article Covariance
  7. B-Class article Law of large numbers (Level 4)
  8. C-Class article Moment
    1. B-Class article Expected value (Level 4)
    2. B-Class article Variance (Level 4)
    3. C-Class article Skewness
    4. B-Class article Kurtosis
    5. Start-Class article Moment-generating function
  9. B-Class article Probability distribution (Level 4)
    1. C-Class article Cumulative distribution function
    2. B-Class article Probability density function (Level 4)
      1. C-Class article Chi-squared distribution
      2. B-Class article Continuous uniform distribution
      3. B-Class article Exponential distribution (Level 4)
      4. B-Class article Normal distribution (Level 4)
    3. Start-Class article Probability mass function
      1. B-Class article Binomial distribution (Level 4)
      2. Start-Class article Discrete uniform distribution (Level 4)
      3. Start-Class article Geometric distribution
      4. B-Class article Poisson distribution (Level 4)
    4. B-Class article Student's t-distribution
  10. B-Class article Random variable (Level 4)
  11. B-Class article Stochastic process (Level 4)
    1. B-Class article Markov chain (Level 4)
      1. C-Class article Viterbi algorithm
    2. B-Class article Poisson point process
    3. C-Class article Wiener process
  12. B-Class article Նախկին ընտրյալ հոդված Monty Hall problem

Foundations (161 articles) խմբագրել

  1. B-Class article Foundations of mathematics

Mathematical logic (32 articles) խմբագրել

  1. B-Class article Mathematical logic (Level 4)
    1. C-Class article Axiom (Level 4)
      1. Start-Class article Axiom schema
    2. Start-Class article Rule of inference
    3. Start-Class article Well-formed formula
      1. Start-Class article Atomic formula
  2. B-Class article Propositional calculus (Level 4)
    1. B-Class article Boolean algebra (Level 4)
      1. B-Class article Karnaugh map
      2. Start-Class article Truth table
    2. Start-Class article Logical connective
      1. Start-Class article Material conditional
      2. Start-Class article Sheffer stroke
    3. C-Class article Contraposition
    4. Start-Class article If and only if
    5. Start-Class article Modus ponens
    6. Start-Class article Modus tollens
    7. Start-Class article Principle of explosion
    8. Start-Class article Proof by contradiction
  3. B-Class article First-order logic (Level 4)
    1. Start-Class article Free variables and bound variables
    2. C-Class article Quantifier (logic)
      1. Start-Class article Existential quantification
      2. Start-Class article Universal quantification
    3. B-Class article Prenex normal form
      1. Start-Class article Skolem normal form
    4. B-Class article Arithmetical hierarchy
      1. B-Class article Analytical hierarchy
      2. Start-Class article Post's theorem
  4. Start-Class article Higher-order logic
  5. C-Class article Intuitionistic logic
  6. C-Class article Type theory

Set theory (36 articles) խմբագրել

  1. B-Class article Set theory (Level 4)
    1. C-Class article Naive set theory (Level 4)
      1. B-Class article Russell's paradox (Level 4)
    2. B-Class article Venn diagram (Level 4)
  2. B-Class article Set (Level 3)
    1. Start-Class article Complement
    2. Start-Class article Element (mathematics)
    3. C-Class article Empty set (Level 4)
    4. C-Class article Intersection (Level 4)
    5. C-Class article Partition of a set
    6. C-Class article Subset (Level 4)
    7. Start-Class article Union (Level 4)
    8. Start-Class article Universe (mathematics)
  3. C-Class article Tuple
    1. C-Class article Cartesian product
    2. C-Class article Ordered pair
      1. C-Class article Multiset
      2. Start-Class article Pointed set
    3. B-Class article Binary relation
      1. Start-Class article Reflexive relation
      2. Start-Class article Symmetric relation
      3. Start-Class article Transitive relation
      4. B-Class article Equivalence relation (Level 4)
  4. Start-Class article Class (set theory)
    1. C-Class article Indexed family
  5. C-Class article Cardinality
    1. C-Class article Aleph number
    2. B-Class article Cantor's theorem (Level 4)
      1. B-Class article Cantor's diagonal argument
    3. B-Class article Cardinality of the continuum
    4. B-Class article Continuum hypothesis
      1. B-Class article Forcing (mathematics)
    5. C-Class article Power set
  6. B-Class article Նախկին լավ հոդված Ordinal number
    1. C-Class article Transfinite induction
    2. C-Class article Von Neumann universe

Axiomatic systems (19 articles) խմբագրել

  1. C-Class article Axiomatic system
  2. C-Class article Zermelo–Fraenkel set theory
    1. Start-Class article Axiom of extensionality
    2. B-Class article Axiom of regularity
    3. B-Class article Axiom schema of specification
    4. B-Class article Axiom of pairing
    5. Start-Class article Axiom of union
    6. B-Class article Axiom schema of replacement
    7. C-Class article Axiom of infinity
    8. Start-Class article Axiom of power set
  3. B-Class article Axiom of choice (Level 4)
    1. B-Class article Banach–Tarski paradox
    2. Start-Class article Well-ordering theorem
    3. C-Class article Zorn's lemma
  4. C-Class article New Foundations
  5. B-Class article Peano axioms
    1. B-Class article Mathematical induction (Level 4)
  6. C-Class article Hilbert's axioms
  7. Start-Class article Tarski's axioms

Computability theory (26 articles) խմբագրել

  1. B-Class article Computability theory (Level 4)
    1. C-Class article Church–Turing thesis
  2. Start-Class article Model of computation
    1. B-Class article Combinatory logic
    2. B-Class article Lambda calculus
    3. B-Class article Turing machine
  3. B-Class article Computable function (Level 4)
    1. B-Class article General recursive function
      1. B-Class article Primitive recursive function
      2. B-Class article μ operator
    2. C-Class article Gödel numbering
      1. B-Class article Նախկին լավ հոդված Gödel's incompleteness theorems (Level 4)
      2. Stub-Class article UTM theorem
  4. Start-Class article Decision problem
    1. C-Class article Entscheidungsproblem
      1. B-Class article Halting problem
      2. C-Class article Rice's theorem
      3. B-Class article Turing's proof
      4. C-Class article Universal Turing machine
    2. Start-Class article Computably enumerable
      1. Start-Class article Computable set
      2. Start-Class article Computably inseparable
  5. C-Class article Oracle machine
    1. B-Class article Turing reduction
      1. Start-Class article Many-one reduction
      2. B-Class article Turing degree

Model theory (19 articles) խմբագրել

  1. B-Class article Model theory
    1. Start-Class article Compactness theorem
    2. Start-Class article Gödel's completeness theorem
    3. B-Class article Löwenheim–Skolem theorem
      1. B-Class article Skolem's paradox
  2. B-Class article Structure (mathematical logic)
    1. Start-Class article Elementary equivalence
    2. Start-Class article Interpretation (model theory)
    3. Start-Class article Reduct
    4. Start-Class article Saturated model
    5. B-Class article Signature (logic)
    6. C-Class article Transfer principle
    7. B-Class article Type (model theory)
    8. C-Class article Ultraproduct
  3. Start-Class article Theory (mathematical logic)
    1. Start-Class article Amalgamation property
    2. Start-Class article Model complete theory
    3. Start-Class article Quantifier elimination
    4. C-Class article Stable theory

Category theory (28 articles) խմբագրել

  1. B-Class article Category theory (Level 4)
    1. C-Class article Commutative diagram
      1. Start-Class article Five lemma
      2. Stub-Class article Nine lemma
      3. Start-Class article Snake lemma
    2. C-Class article Morphism
  2. B-Class article Category (mathematics)
    1. C-Class article Cartesian closed category
    2. Start-Class article Comma category
    3. B-Class article Concrete category
    4. Start-Class article Opposite category
    5. C-Class article Subcategory
  3. B-Class article Functor
    1. B-Class article Adjoint functors
    2. Start-Class article Forgetful functor
    3. B-Class article Hom functor
    4. Start-Class article Yoneda lemma
  4. C-Class article Universal property
    1. Start-Class article Free object
    2. Start-Class article Limit (category theory)
      1. C-Class article Coproduct
      2. Start-Class article Initial and terminal objects
      3. Start-Class article Kan extension
      4. C-Class article Product (category theory)
      5. Start-Class article Pullback (category theory)
      6. Start-Class article Pushout (category theory)
  5. C-Class article Monad (category theory)
  6. C-Class article Natural transformation

Discrete mathematics (140 articles) խմբագրել

  1. B-Class article Discrete mathematics (Level 4)

Combinatorics (24 articles) խմբագրել

  1. B-Class article Combinatorics (Level 3)
    1. C-Class article Algebraic combinatorics
    2. Start-Class article Enumerative combinatorics
    3. Start-Class article Ramsey theory
  2. Start-Class article Combinatorial principles
    1. Stub-Class article Rule of sum
    2. C-Class article Rule of product
    3. Stub-Class article Rule of division (combinatorics)
    4. C-Class article Inclusion–exclusion principle
    5. B-Class article Pigeonhole principle
  3. Start-Class article Double counting (proof technique)
  4. Start-Class article Method of distinguished element
  5. Start-Class article Twelvefold way
    1. B-Class article Combination (Level 4)
      1. C-Class article Binomial coefficient
      2. C-Class article Pascal's triangle
    2. B-Class article Permutation (Level 4)
      1. Start-Class article Partial permutation
    3. B-Class article Stirling number
      1. C-Class article Stirling numbers of the first kind
      2. C-Class article Stirling numbers of the second kind
      3. Start-Class article Lah number
  6. C-Class article Latin square
    1. C-Class article Mutually orthogonal Latin squares


Graph theory (89 articles) խմբագրել

  1. B-Class article Graph theory (Level 4)
    1. B-Class article Graph (Level 4)
      1. B-Class article Complete graph
      2. Start-Class article Degree (graph theory)
      3. C-Class article Directed graph
      4. Start-Class article Gain graph
      5. Start-Class article Multigraph
    2. C-Class article Hypergraph
  2. C-Class article Clique (graph theory)
    1. B-Class article Bipartite graph
    2. Լավ հոդված Clique problem
    3. B-Class article Graph coloring
      1. B-Class article Chromatic polynomial
      2. B-Class article Failed good article nominee Four color theorem
      3. C-Class article Vizing's theorem
    4. Start-Class article Regular graph
      1. Start-Class article Cage (graph theory)
      2. Start-Class article Coxeter graph
  3. C-Class article Connectivity (graph theory)
    1. Start-Class article Bridge (graph theory)
    2. Լավ հոդված Component (graph theory)
    3. C-Class article Tree
      1. Start-Class article Kruskal's algorithm
      2. C-Class article Prim's algorithm
  4. B-Class article Flow network
    1. Start-Class article Circulation problem
      1. Start-Class article Ford–Fulkerson algorithm
      2. Start-Class article Max-flow min-cut theorem
      3. C-Class article Maximum flow problem
      4. Start-Class article Minimum-cost flow problem
      5. Start-Class article Multi-commodity flow problem
      6. C-Class article Push–relabel maximum flow algorithm
    2. C-Class article Nowhere-zero flow
  5. Լավ հոդված Graph homomorphism
    1. Start-Class article Edge contraction
      1. B-Class article Graph minor
    2. B-Class article Graph automorphism
      1. Start-Class article Cayley graph
    3. Start-Class article Graph isomorphism
      1. Start-Class article Graph isomorphism problem
    4. Start-Class article Homeomorphism (graph theory)
    5. C-Class article Intersection graph
    6. B-Class article Line graph
  6. B-Class article Matching (graph theory)
    1. Start-Class article Matching polynomial
      1. Start-Class article Hosoya index
    2. Start-Class article Maximum cardinality matching
      1. C-Class article Blossom algorithm
      2. B-Class article Hopcroft–Karp algorithm
      3. C-Class article Kőnig's theorem (graph theory)
      4. Start-Class article Tutte–Berge formula
      5. C-Class article Vertex cover
    3. Start-Class article Rainbow matching
  7. Start-Class article Edge cover
    1. Start-Class article Perfect matching
      1. C-Class article FKT algorithm
  8. Start-Class article Path (graph theory)
    1. Start-Class article Cycle
      1. Start-Class article Girth (graph theory)
    2. C-Class article Eulerian path
      1. Start-Class article BEST theorem
      2. Լավ հոդված Handshaking lemma
      3. B-Class article Seven Bridges of Königsberg
    3. C-Class article Hamiltonian path
      1. C-Class article Hamiltonian path problem
      2. C-Class article Held–Karp algorithm
      3. B-Class article Herschel graph
      4. B-Class article Lovász conjecture
      5. Start-Class article Tait's conjecture
      6. B-Class article Travelling salesman problem
    4. C-Class article Shortest path problem
      1. C-Class article Bellman–Ford algorithm
      2. C-Class article Dijkstra's algorithm
      3. B-Class article Floyd–Warshall algorithm
  9. B-Class article Planar graph
    1. B-Class article Crossing number (graph theory)
      1. C-Class article Crossing number inequality
      2. Լավ հոդված Three utilities problem
      3. Լավ հոդված Turán's brick factory problem
    2. Start-Class article Planarization
    3. C-Class article Kuratowski's theorem
  10. C-Class article Snark (graph theory)
    1. Start-Class article Generalized Petersen graph
      1. Start-Class article Dürer graph
      2. C-Class article Petersen graph
  11. C-Class article Spectral graph theory
    1. C-Class article Adjacency matrix
    2. Start-Class article Degree matrix
    3. Start-Class article Laplacian matrix

Order theory (26 articles) խմբագրել

  1. B-Class article Նախկին լավ հոդված Order theory
    1. Start-Class article Domain theory
    2. Start-Class article Upper and lower bounds
      1. Start-Class article Greatest element and least element
      2. Start-Class article Infimum and supremum
  2. Start-Class article Preorder
  3. C-Class article Partially ordered set
    1. Start-Class article Antisymmetric relation
    2. C-Class article Comparability
      1. C-Class article Antichain
      2. Start-Class article Covering relation
      3. Start-Class article Hasse diagram
    3. Stub-Class article Duality (order theory)
    4. C-Class article Filter (mathematics)
      1. B-Class article Ultrafilter
    5. Start-Class article Ideal (order theory)
    6. B-Class article Lattice (order)
      1. B-Class article Boolean algebra (structure)
      2. C-Class article Join and meet
  4. C-Class article Stable marriage problem
    1. C-Class article Gale–Shapley algorithm
    2. Start-Class article Stable roommates problem
  5. B-Class article Total order
    1. B-Class article Connected relation
    2. B-Class article Well-order
      1. Start-Class article Well-founded relation

Calculus and analysis (178 articles) խմբագրել

Basics (11 articles) խմբագրել

  1. B-Class article Failed good article nominee Calculus (Level 3)
  2. B-Class article Limit (Level 3)
    1. C-Class article Infinity (Level 3)
    2. Start-Class article Indeterminate form
  3. B-Class article Fundamental theorem of calculus (Level 4)
  4. B-Class article Continuous function (Level 4)
  5. C-Class article Infinitesimal
    1. C-Class article Differential
  6. Stub-Class article Series expansion
  7. C-Class article Linear approximation
    1. Start-Class article Linearization

Differential calculus (13 articles) խմբագրել

  1. B-Class article Differential calculus (Level 4)
  2. Start-Class article Differentiable function
  3. C-Class article Differential operator
  4. Լավ հոդված Derivative (Level 4)
    1. Start-Class article Second derivative
  5. Start-Class article Differentiation rules
    1. B-Class article Product rule
    2. C-Class article Chain rule
    3. Start-Class article Power rule
    4. Start-Class article Differentiation of trigonometric functions
  6. C-Class article L'Hôpital's rule
  7. B-Class article Taylor's theorem
  8. Start-Class article Related rates

Integral calculus (11 articles) խմբագրել

  1. B-Class article Failed good article nominee Integral (Level 4)
  2. Start-Class article Antiderivative
  3. B-Class article Lebesgue integration
  4. B-Class article Numerical integration (Level 4)
  5. B-Class article Riemann integral
  6. Start-Class article Constant of integration
  7. C-Class article Improper integral
  8. Start-Class article Integration by parts
  9. C-Class article Integration by substitution
  10. Start-Class article Limits of integration
  11. C-Class article Riemann sum

Multivariable and vector calculus (29 articles) խմբագրել

  1. B-Class article Multivariable calculus (Level 4)
  2. B-Class article Vector calculus (Level 4)
    1. Start-Class article Tensor calculus
  3. C-Class article Multiple integral (Level 4)
  4. Start-Class article Iterated integral
  5. C-Class article Partial derivative (Level 4)
  6. B-Class article Total derivative
  7. Start-Class article Directional derivative
  8. C-Class article Differential form
  9. C-Class article Vector field
    1. C-Class article Conservative vector field
    2. Start-Class article Solenoidal vector field
  10. C-Class article Del (Level 4)
    1. C-Class article Gradient
    2. C-Class article Divergence
    3. B-Class article Curl
    4. C-Class article Laplace operator
  11. C-Class article Poisson's equation
    1. B-Class article Laplace's equation (Level 4)
  12. C-Class article Line integral
  13. C-Class article Surface integral
  14. Start-Class article Volume integral
  15. B-Class article Stokes' theorem
    1. C-Class article Green's theorem
    2. Start-Class article Gradient theorem
    3. C-Class article Divergence theorem
  16. C-Class article Jacobian matrix and determinant
  17. B-Class article Lagrange multiplier
  18. Start-Class article Helmholtz decomposition

Differential equations (44 articles) խմբագրել

  1. B-Class article Differential equation (Level 4)
    1. B-Class article Ordinary differential equation (Level 4)
    2. C-Class article Partial differential equation (Level 4)
      1. Start-Class article Parabolic partial differential equation
      2. Start-Class article Hyperbolic partial differential equation
      3. Start-Class article Elliptic partial differential equation
    3. C-Class article Linear differential equation
    4. Start-Class article Homogeneous differential equation
  2. C-Class article Boundary value problem
  3. C-Class article Separation of variables
  4. Start-Class article Integrating factor
  5. Start-Class article Power series solution of differential equations
  6. Start-Class article Change of variables
  7. B-Class article Numerical methods for ordinary differential equations
    1. B-Class article Euler method
    2. C-Class article Runge–Kutta methods
    3. Start-Class article Shooting method
  8. C-Class article Numerical methods for partial differential equations
    1. C-Class article Crank–Nicolson method
    2. C-Class article Finite element method
    3. Start-Class article Method of lines
  9. C-Class article Dirichlet problem
  10. C-Class article Elliptic operator
  11. Start-Class article System of differential equations

Dynamical systems (20 articles) խմբագրել

  1. C-Class article Dynamical systems theory (Level 4)
  2. B-Class article Dynamical system (Level 4)
    1. Start-Class article Linear dynamical system
    2. C-Class article Nonlinear system
  3. C-Class article Phase space
  4. Start-Class article Stability theory
  5. B-Class article Control theory (Level 4)
  6. B-Class article Chaos theory (Level 4)
    1. B-Class article Bifurcation theory
    2. B-Class article Butterfly effect
    3. Start-Class article Edge of chaos
  7. C-Class article Multibody system
    1. C-Class article Three-body problem
  8. Start-Class article Initial condition
  9. Start-Class article Conserved quantity
  10. Start-Class article Dynamic simulation
  11. Start-Class article Flow
  12. C-Class article Lyapunov exponent
  13. C-Class article Attractor
    1. C-Class article Limit cycle

Sequences and series (18 articles) խմբագրել

  1. C-Class article Sequence (Level 4)
    1. C-Class article Limit of a sequence (Level 4)
    2. C-Class article Generating function
  2. B-Class article Series (Level 3)
    1. C-Class article Summation
  3. Լավ հոդված Taylor series (Level 4)
  4. C-Class article Laurent series
  5. C-Class article Convergent series
    1. B-Class article Absolute convergence
    2. Start-Class article Convergence tests
    3. B-Class article Radius of convergence
  6. B-Class article Divergent series
  7. C-Class article Failed good article nominee Geometric series
  8. B-Class article Power series
  9. C-Class article Dirichlet series
  10. B-Class article Binomial series
  11. Լավ հոդված Harmonic series
  12. C-Class article Multipole expansion

Mathematical analysis (52 articles) խմբագրել

  1. B-Class article Նախկին լավ հոդված Mathematical analysis (Level 3)
  2. Start-Class article Approximation theory (Level 4)
  3. B-Class article Numerical analysis (Level 4)
  4. B-Class article Functional analysis (Level 4)
    1. Լավ հոդված Hilbert space (Level 4)
  5. B-Class article Նախկին լավ հոդված Measure
  6. B-Class article Calculus of variations (Level 4)
  7. C-Class article Asymptotic analysis
    1. C-Class article Asymptote
  8. B-Class article Interpolation

Real analysis (12 articles) խմբագրել

  1. B-Class article Real analysis (Level 4)
  2. C-Class article Real line
    1. C-Class article Extended real number line
  3. C-Class article Extreme value theorem
  4. Start-Class article Intermediate value theorem
    1. C-Class article Root-finding algorithms
      1. B-Class article Newton's method
      2. Start-Class article Bisection method
      3. C-Class article Regula falsi
      4. C-Class article Secant method
  5. C-Class article Mean value theorem
  6. Start-Class article Squeeze theorem

Complex analysis (20 articles) խմբագրել

  1. B-Class article Complex analysis (Level 4)
  2. B-Class article Complex plane
    1. B-Class article Riemann sphere
  3. C-Class article Contour integration
    1. B-Class article Cauchy's integral formula (Level 4)
  4. B-Class article Euler's formula (Level 4)
  5. B-Class article Euler's identity (Level 4)
  6. C-Class article Holomorphic function (Level 4)
  7. B-Class article Riemann surface (Level 4)
  8. C-Class article Liouville's theorem
  9. C-Class article Cauchy–Riemann equations
  10. Start-Class article Cauchy principal value
  11. Start-Class article Conformal map
  12. Start-Class article Singularity
    1. C-Class article Zeros and poles
  13. Start-Class article Picard theorem
  14. Start-Class article Residue
    1. Start-Class article Residue theorem
  15. Start-Class article Branch point
  16. B-Class article Root of unity

Harmonic analysis (10 articles) խմբագրել

  1. Start-Class article Harmonic analysis (Level 4)
  2. B-Class article Fourier analysis (Level 4)
    1. B-Class article Fourier series (Level 4)
    2. B-Class article Fourier transform (Level 4)
      1. Start-Class article Convolution theorem
      2. B-Class article Fast Fourier transform
  3. B-Class article Laplace transform (Level 4)
  4. B-Class article Harmonic function
    1. Start-Class article Harmonic conjugate
  5. Start-Class article Potential theory

Number theory (50 articles) խմբագրել

Applied mathematics (37 articles) խմբագրել

Theoretical computer science (63 articles) խմբագրել

For topics in applied computer science, see Technology: Computing and information technology


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