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
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Basics (114 articles)
խմբագրելMathematics (Level 1)
Arithmetic (Level 2)
Number (Level 2)
Positional notation (Level 4)
Scientific notation (Level 4)
Functions (88 articles)
խմբագրելGeneral (41 articles)
խմբագրելFunction (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)
խմբագրելElementary 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)
խմբագրելGeneral (14 articles)
խմբագրելGeometry (Level 2)
Coordinate system (Level 4)
Dimension (Level 4)
Zero-dimensional space
One-dimensional space
Congruence (geometry)
Similarity
Two-dimensional space (40 articles)
խմբագրելTwo-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)
խմբագրելThree-dimensional space (Level 3)
Solid geometry
Cone
Cylinder
Sphere (Level 4)
Polyhedron (Level 4)
Solid angle
Skew lines
Four-dimensional space (8 articles)
խմբագրելFour-dimensional space
Rotations in 4-dimensional Euclidean space
5-cell
Tesseract
16-cell
24-cell
120-cell
600-cell
Trigonometry (4 articles)
խմբագրելTopology (12 articles)
խմբագրելTopology (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)
խմբագրելEuclidean geometry (5 articles)
խմբագրելNon-Euclidean geometry (6 articles)
խմբագրելOther (20 articles)
խմբագրելAlgebra (74 articles)
խմբագրելGeneral (2 articles)
խմբագրելElementary algebra (5 articles)
խմբագրելLinear algebra (24 articles)
խմբագրելLinear 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)
խմբագրելAbstract 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)
խմբագրելStatistics and probability (85 articles)
խմբագրելStatistics (48 articles)
խմբագրելStatistics (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)
խմբագրելProbability (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)
խմբագրելMathematical logic (32 articles)
խմբագրելMathematical logic (Level 4)
Propositional calculus (Level 4)
First-order logic (Level 4)
Higher-order logic
Intuitionistic logic
Type theory
Set theory (36 articles)
խմբագրելAxiomatic systems (19 articles)
խմբագրելAxiomatic system
Zermelo–Fraenkel set theory
Axiom of choice (Level 4)
New Foundations
Peano axioms
Hilbert's axioms
Tarski's axioms
Computability theory (26 articles)
խմբագրելComputability theory (Level 4)
Model of computation
Computable function (Level 4)
Decision problem
Oracle machine
Model theory (19 articles)
խմբագրելCategory theory (28 articles)
խմբագրելDiscrete mathematics (140 articles)
խմբագրելCombinatorics (24 articles)
խմբագրելCombinatorics (Level 3)
Combinatorial principles
Double counting (proof technique)
Method of distinguished element
Twelvefold way
Latin square
Graph theory (89 articles)
խմբագրելGraph 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)
խմբագրելCalculus and analysis (178 articles)
խմբագրելBasics (11 articles)
խմբագրելCalculus (Level 3)
Limit (Level 3)
Fundamental theorem of calculus (Level 4)
Continuous function (Level 4)
Infinitesimal
Series expansion
Linear approximation
Differential calculus (13 articles)
խմբագրելDifferential 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)
խմբագրելIntegral (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)
խմբագրելMultivariable 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)
խմբագրելDifferential 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)
խմբագրելDynamical 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)
խմբագրելSequence (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)
խմբագրելMathematical 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)
խմբագրելReal analysis (Level 4)
Real line
Extreme value theorem
Intermediate value theorem
Mean value theorem
Squeeze theorem
Complex analysis (20 articles)
խմբագրելComplex 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)
խմբագրելNumber theory (50 articles)
խմբագրելPrime numbers (12 articles)
խմբագրելPrime number (Level 3)
Primality test
Coprime integers
Euclid's theorem (Level 4)
Prime number theorem (Level 4)
Sums and products (8 articles)
խմբագրելModular arithmetic (8 articles)
խմբագրելChinese remainder theorem
Discrete logarithm
Fermat's little theorem
Quadratic residue
Wilson's theorem
Sequences (8 articles)
խմբագրելDiophantine equations (6 articles)
խմբագրելSubdisciplines (7 articles)
խմբագրելApplied mathematics (37 articles)
խմբագրելGame theory (17 articles)
խմբագրելInformation theory (7 articles)
խմբագրելOptimization (13 articles)
խմբագրելTheoretical computer science (63 articles)
խմբագրելFor topics in applied computer science, see Technology: Computing and information technology
Algorithms (23 articles)
խմբագրելAlgorithm (Level 3)