Վիքիպեդիա:Կարևորագույն հոդվածներ/մակարդակ/5/Մաթեմատիկա
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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
- See also: People: Mathematicians
Basics (114 articles)[խմբագրել կոդը]
- Mathematics (Level 1)
- Arithmetic (Level 2)
- Number (Level 2)
- Positional notation (Level 4)
- Scientific notation (Level 4)
Functions (88 articles)[խմբագրել կոդը]
General (41 articles)[խմբագրել կոդը]
- Function (Level 3)
- Algebraic function
- Function of a real variable
- Arithmetic function
- Inverse function (Level 4)
- Implicit function (Level 4)
- Function composition (Level 4)
- Graph of a function (Level 4)
- Parametric equation (Level 4)
- Even and odd functions
- Piecewise
- Bijection, injection and surjection
- Domain of a function
- Range of a function
- Zero of a function
- Fixed point
- Critical point
- Limit of a function (Level 4)
- Multivalued function
- Partial function
- Reflection
- Rotation
- Scaling
- Bounded function
- Vector-valued function
- Real-valued function
- Analytic function
- Elliptic function
- Periodic function
- Curvature
Specific functions (47 articles)[խմբագրել կոդը]
- Elementary function
- Rational function
- Exponentiation (Level 3)
- Logarithm (Level 3)
- nth root (Level 3)
- Trigonometric functions (Level 4)
- Hyperbolic functions (Level 4)
- Bessel function
- Floor and ceiling functions
- Gamma function (Level 4)
- Prime-counting function
- Weierstrass function
- Error function
- Step function
- Dirac delta function
- Kronecker delta
- Absolute value
- Lambert W function
- Exponential integral
Geometry (139 articles)[խմբագրել կոդը]
General (14 articles)[խմբագրել կոդը]
- Geometry (Level 2)
- Coordinate system (Level 4)
- Dimension (Level 4)
- Zero-dimensional space
- One-dimensional space
- Congruence (geometry)
- Similarity
Two-dimensional space (40 articles)[խմբագրել կոդը]
- Two-dimensional space (Level 4)
- Plane (Level 4)
- Angle (Level 3)
- Polygon (Level 3)
- Conic section (Level 3)
- Cardioid
- Cycloid
- Lemniscate
- Elliptic curve
- Catenary
- Parallel
- Perpendicular
- Line–line intersection
Three-dimensional space (22 articles)[խմբագրել կոդը]
- Three-dimensional space (Level 3)
- Solid geometry
- Cone
- Cylinder
- Sphere (Level 4)
- Polyhedron (Level 4)
- Solid angle
- Skew lines
Four-dimensional space (8 articles)[խմբագրել կոդը]
- Four-dimensional space
- Rotations in 4-dimensional Euclidean space
- 5-cell
- Tesseract
- 16-cell
- 24-cell
- 120-cell
- 600-cell
Trigonometry (4 articles)[խմբագրել կոդը]
Topology (12 articles)[խմբագրել կոդը]
- Topology (Level 3)
- General topology (Level 4)
- Topological space (Level 4)
- Compact space (Level 4)
- Manifold (Level 4)
- Open set (Level 4)
- Homology (Level 4)
- Homotopy (Level 4)
- Euler characteristic (Level 4)
- Knot theory (Level 4)
- Poincaré conjecture (Level 4)
- Winding number
Measurement (8 articles)[խմբագրել կոդը]
Euclidean geometry (5 articles)[խմբագրել կոդը]
Non-Euclidean geometry (6 articles)[խմբագրել կոդը]
Other (20 articles)[խմբագրել կոդը]
Algebra (74 articles)[խմբագրել կոդը]
General (2 articles)[խմբագրել կոդը]
Elementary algebra (5 articles)[խմբագրել կոդը]
Linear algebra (24 articles)[խմբագրել կոդը]
- Linear algebra (Level 3)
- Linear map
- Linear equation (Level 4)
- System of linear equations
- Gaussian elimination (Level 4)
- Jacobi method
- Gauss–Seidel method
- Cramer's rule
- Successive over-relaxation
- LU decomposition
- Matrix (Level 4)
- Vector space (Level 4)
Abstract algebra (31 articles)[խմբագրել կոդը]
- Abstract algebra (Level 3)
- Algebraic topology (Level 4)
- Associative property (Level 4)
- Commutative algebra (Level 4)
- Commutative property (Level 4)
- Distributive property (Level 4)
- Field (Level 4)
- Fundamental theorem of algebra (Level 4)
- Galois theory (Level 4)
- Group (Level 4)
- Homological algebra (Level 4)
- Isomorphism (Level 4)
- Module (Level 4)
- Multiplicative inverse
- Representation theory (Level 4)
- Ring theory (Level 4)
Other algebra topics (12 articles)[խմբագրել կոդը]
Statistics and probability (85 articles)[խմբագրել կոդը]
Statistics (48 articles)[խմբագրել կոդը]
- Statistics (Level 2)
- Bayesian inference (Level 4)
- Bayesian statistics
- Confidence interval
- Correlation (Level 4)
- Data visualization (Level 4)
- Design of experiments (Level 4)
- Frequentist statistics
- Mean (Level 4)
- Maximum likelihood estimation
- Median (Level 4)
- Meta-analysis (Level 4)
- Mode (Level 4)
- Observational study (Level 4)
- Principal component analysis
- Sample mean and covariance (Level 4)
- Standard deviation (Level 4)
- Standard error (Level 4)
- Statistical hypothesis testing (Level 4)
- Survey methodology (Level 4)
- Type I and type II errors
- Analysis of variance
Probability (37 articles)[խմբագրել կոդը]
- Probability (Level 3)
- Probability theory (Level 4)
- Probability space
- Bayes' theorem (Level 4)
- Central limit theorem (Level 4)
- Covariance
- Law of large numbers (Level 4)
- Moment
- Probability distribution (Level 4)
- Random variable (Level 4)
- Stochastic process (Level 4)
- Monty Hall problem
Foundations (161 articles)[խմբագրել կոդը]
Mathematical logic (32 articles)[խմբագրել կոդը]
- Mathematical logic (Level 4)
- Propositional calculus (Level 4)
- First-order logic (Level 4)
- Higher-order logic
- Intuitionistic logic
- Type theory
Set theory (36 articles)[խմբագրել կոդը]
Axiomatic systems (19 articles)[խմբագրել կոդը]
- Axiomatic system
- Zermelo–Fraenkel set theory
- Axiom of choice (Level 4)
- New Foundations
- Peano axioms
- Hilbert's axioms
- Tarski's axioms
Computability theory (26 articles)[խմբագրել կոդը]
- Computability theory (Level 4)
- Model of computation
- Computable function (Level 4)
- Decision problem
- Oracle machine
Model theory (19 articles)[խմբագրել կոդը]
Category theory (28 articles)[խմբագրել կոդը]
Discrete mathematics (140 articles)[խմբագրել կոդը]
Combinatorics (24 articles)[խմբագրել կոդը]
- Combinatorics (Level 3)
- Combinatorial principles
- Double counting (proof technique)
- Method of distinguished element
- Twelvefold way
- Latin square
Graph theory (89 articles)[խմբագրել կոդը]
- Graph theory (Level 4)
- Clique (graph theory)
- Connectivity (graph theory)
- Flow network
- Graph homomorphism
- Matching (graph theory)
- Edge cover
- Path (graph theory)
- Planar graph
- Snark (graph theory)
- Spectral graph theory
Order theory (26 articles)[խմբագրել կոդը]
Calculus and analysis (178 articles)[խմբագրել կոդը]
Basics (11 articles)[խմբագրել կոդը]
- Calculus (Level 3)
- Limit (Level 3)
- Fundamental theorem of calculus (Level 4)
- Continuous function (Level 4)
- Infinitesimal
- Series expansion
- Linear approximation
Differential calculus (13 articles)[խմբագրել կոդը]
- Differential calculus (Level 4)
- Differentiable function
- Differential operator
- Derivative (Level 4)
- Differentiation rules
- L'Hôpital's rule
- Taylor's theorem
- Related rates
Integral calculus (11 articles)[խմբագրել կոդը]
- Integral (Level 4)
- Antiderivative
- Lebesgue integration
- Numerical integration (Level 4)
- Riemann integral
- Constant of integration
- Improper integral
- Integration by parts
- Integration by substitution
- Limits of integration
- Riemann sum
Multivariable and vector calculus (29 articles)[խմբագրել կոդը]
- Multivariable calculus (Level 4)
- Vector calculus (Level 4)
- Multiple integral (Level 4)
- Iterated integral
- Partial derivative (Level 4)
- Total derivative
- Directional derivative
- Differential form
- Vector field
- Del (Level 4)
- Poisson's equation
- Line integral
- Surface integral
- Volume integral
- Stokes' theorem
- Jacobian matrix and determinant
- Lagrange multiplier
- Helmholtz decomposition
Differential equations (44 articles)[խմբագրել կոդը]
- Differential equation (Level 4)
- Boundary value problem
- Separation of variables
- Integrating factor
- Power series solution of differential equations
- Change of variables
- Numerical methods for ordinary differential equations
- Numerical methods for partial differential equations
- Dirichlet problem
- Elliptic operator
- System of differential equations
Dynamical systems (20 articles)[խմբագրել կոդը]
- Dynamical systems theory (Level 4)
- Dynamical system (Level 4)
- Phase space
- Stability theory
- Control theory (Level 4)
- Chaos theory (Level 4)
- Multibody system
- Initial condition
- Conserved quantity
- Dynamic simulation
- Flow
- Lyapunov exponent
- Attractor
Sequences and series (18 articles)[խմբագրել կոդը]
- Sequence (Level 4)
- Series (Level 3)
- Taylor series (Level 4)
- Laurent series
- Convergent series
- Divergent series
- Geometric series
- Power series
- Dirichlet series
- Binomial series
- Harmonic series
- Multipole expansion
Mathematical analysis (52 articles)[խմբագրել կոդը]
- Mathematical analysis (Level 3)
- Approximation theory (Level 4)
- Numerical analysis (Level 4)
- Functional analysis (Level 4)
- Measure
- Calculus of variations (Level 4)
- Asymptotic analysis
- Interpolation
Real analysis (12 articles)[խմբագրել կոդը]
- Real analysis (Level 4)
- Real line
- Extreme value theorem
- Intermediate value theorem
- Mean value theorem
- Squeeze theorem
Complex analysis (20 articles)[խմբագրել կոդը]
- Complex analysis (Level 4)
- Complex plane
- Contour integration
- Euler's formula (Level 4)
- Euler's identity (Level 4)
- Holomorphic function (Level 4)
- Riemann surface (Level 4)
- Liouville's theorem
- Cauchy–Riemann equations
- Cauchy principal value
- Conformal map
- Singularity
- Picard theorem
- Residue
- Branch point
- Root of unity
Harmonic analysis (10 articles)[խմբագրել կոդը]
Number theory (50 articles)[խմբագրել կոդը]
Prime numbers (12 articles)[խմբագրել կոդը]
- Prime number (Level 3)
- Primality test
- Coprime integers
- Euclid's theorem (Level 4)
- Prime number theorem (Level 4)
Sums and products (8 articles)[խմբագրել կոդը]
Modular arithmetic (8 articles)[խմբագրել կոդը]
- Chinese remainder theorem
- Discrete logarithm
- Fermat's little theorem
- Quadratic residue
- Wilson's theorem
Sequences (8 articles)[խմբագրել կոդը]
Diophantine equations (6 articles)[խմբագրել կոդը]
Subdisciplines (7 articles)[խմբագրել կոդը]
Applied mathematics (37 articles)[խմբագրել կոդը]
Game theory (17 articles)[խմբագրել կոդը]
Information theory (7 articles)[խմբագրել կոդը]
Optimization (13 articles)[խմբագրել կոդը]
Theoretical computer science (63 articles)[խմբագրել կոդը]
For topics in applied computer science, see Technology: Computing and information technology
Algorithms (23 articles)[խմբագրել կոդը]
- Algorithm (Level 3)