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.
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- 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)