Category:Basic Refactoring
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These are pages which are in the process of being refactored.
The required work is believed to be of basic level.
See the {{Refactor}} template.
Subcategories
This category has the following 3 subcategories, out of 3 total.
H
R
- Riemann-Stieltjes Integral (14 P)
Pages in category "Basic Refactoring"
The following 200 pages are in this category, out of 242 total.
(previous page) (next page)A
B
C
- Characterisation of Local Rings
- Definition:Chebyshev Polynomials/First Kind
- Definition:Chebyshev Polynomials/Second Kind
- Definition:Choice Function/Use of Axiom of Choice
- Definition:Chord
- Chord Length for Regular Polygon
- Definition:Closed Linear Span
- Definition:Cohomology Groups
- Combination of Recursive Functions
- Compositions of Closure Operators are both Closure Operators iff Operators Commute
- Conditions for Integer to have Primitive Root
- Axiom:Content Axioms
- Continued Fraction Identities/First/Infinite
- Definition:Continued Product/Infinite
- Continuous Real Function is Darboux Integrable
- Definition:Convergent Net
- Convergent Sequence with Finite Number of Terms Deleted is Convergent
- Correspondence between Rational Numbers and Simple Finite Continued Fractions
- Cyclic Group of Order 6
D
- Dependent Choice for Finite Sets
- Derivative of Constant Multiple/Real/Corollary
- Definition:Derivative/Higher Derivatives/Second Derivative
- Determinant of Matrix Exponential is Non-Zero
- Definition:Diagonalizable Operator
- Definition:Differentiable Mapping between Manifolds
- Definition:Differential of Mapping/Vector-Valued Function
- Definition:Dihedral Group
- Disjunction and Conditional
- Definition:Disk
- Divisors of Repunit with Composite Index
- Definition:Dual Statement (Category Theory)
- Duality Principle (Category Theory)/Formal Duality
E
- Definition:Embedding (Differential Geometry)
- Definition:Embedding (Model Theory)
- Epimorphism from Real Numbers to Circle Group
- Equality implies Substitution
- Equation of Catenary/Cartesian/Formulation 1/Proof
- Definition:Equidistance
- Equivalence of Definitions of Absolute Convergence of Product
- Equivalence of Definitions of Closed Linear Span
- Equivalence of Definitions of Gamma Function
- Equivalence of Definitions of Norm of Linear Functional
- Equivalence of Definitions of Null Set in Euclidean Space
- Equivalence of Definitions of Sigma-Algebra
- Equivalence Relation induced by Congruence Relation on Quotient Structure is Congruence
- Euler Formula for Sine Function/Real Numbers/Proof 1
- Euler's Homogeneous Function Theorem
- Existence and Uniqueness of Direct Limit of Sequence of Groups
- Existence and Uniqueness of Generated Topology
- Existence of Abscissa of Absolute Convergence
- Existence of Abscissa of Convergence
- Existence of Banach Limits
- Existence of Real Logarithm
- Extremal Length of Union
F
G
H
I
K
L
- Definition:Labeled Graph
- Lagrange's Four Square Theorem/Proof 2
- Definition:Language
- Definition:Language of Propositional Logic
- Definition:Language of Propositional Logic/Formal Grammar
- Definition:Language of Propositional Logic/Formal Grammar/Bottom-Up Specification
- Definition:Lebesgue Integral
- Left-Truncated Automorphic Number is Automorphic
- Lexicographic Order forms Well-Ordering on Ordered Pairs of Ordinals
- Limit Inferior of Inclusion Net is Supremum of Directed Subset
- Limit Inferior of Repetition Net
- Definition:Limit of Complex Function
- Definition:Linear Recurrence Relation
- Linearly Independent Set is Contained in some Basis
- Definition:Local Dimension of Topological Space
- Definition:Local Ring
- Definition:Localization of Ring
- Lower Bounds for Denominators of Simple Continued Fraction
M
- Meet Preserves Directed Suprema
- Definition:Metagraph
- Definition:Minimization
- Definition:Model (Boolean Interpretations)
- Definition:Module Defined by Ring Homomorphism
- Monotonicity of Real Sequences
- Morley's Trisector Theorem
- Morley's Trisector Theorem/Proof 2
- Multiplication of Real and Imaginary Parts
- Definition:Multiplicatively Closed Subset of Ring
- Definition:Multiplicity (Polynomial)
N
- Definition:N-Ary Operation Induced by Binary Operation
- Definition:Nagata Criterion
- Definition:Natural Isomorphism between Covariant Functors
- Necessary Condition for Integral Functional to have Extremum/Two Variables/Lemma
- Newton's Identities
- Newton's Identities/Proof 2
- Definition:Nicely Normed Star-Algebra
- No Largest Ordinal
- Definition:NP Complexity Class
- Definition:Null Polynomial
- Definition:Null Set
- Number is Sum of Five Cubes
- Number of Characters on Finite Abelian Group
- Definition:Numerators and Denominators of Continued Fraction
O
- One-to-Many Relation Composite with Inverse is Coreflexive
- Open and Closed Sets in Multiple Pointed Topology
- Definition:Operation
- Definition:Order Indiscernible
- Order is Preserved on Positive Reals by Squaring
- Order Isomorphism between Ordinals and Proper Class/Corollary
- Definition:Orientable Manifold
- Definition:Orthogonal Group
- Definition:Orthogonal Projection
- Definition:Outer Product
P
- P-adic Norm forms Non-Archimedean Valued Field/P-adic Numbers
- Axiom:Pasch's Axiom (Tarski's Axioms)
- Pi is Irrational/Proof 2/Lemma
- Definition:Pointwise Operation/Real-Valued Functions
- Definition:Pole of Complex Function
- Definition:Polynomial Function/Complex
- Definition:Polynomial Function/Real
- Definition:Polynomial Ring/Indeterminate
- Positive Power Function on Non-negative Reals is Strictly Increasing
- Power Sets of Equinumerous Sets are Equinumerous
- Definition:Pre-Abelian Category
- Primary Decomposition Theorem
- Primitive of Reciprocal/Corollary 2
- Probability of Occurrence of At Least One Independent Event
- Product of Coprime Ideals equals Intersection
- Definition:Product of Ideals of Ring
- Product of Powers in B-Algebra
- Product of Rationally Expressible Numbers is Rational
- Properties of Affine Spaces
- Properties of Grötzsch and Teichmüller Moduli
- Properties of Legendre Symbol
- Properties of Ordered Field
- Properties of Ordered Ring
- Properties of Semi-Inner Product
- Pumping Lemma for Regular Languages
R
- Definition:Ramification
- Range of Idempotent is Kernel of Complementary Idempotent
- Definition:Ratio
- Real and Imaginary Part Projections are Continuous
- Definition:Real Vector Space
- Recurrence Formula for Bessel Function of the First Kind
- Definition:Regular Continued Fraction
- Riemann-Hurwitz Formula
- Definition:Riemann-Stieltjes Integral
- Definition:Ring of Formal Laurent Series
- Definition:Ring of Formal Power Series
- Ring of Integers Modulo 2/Cayley Tables
- Rokhlin's Theorem on Bounded Manifolds and Induced Spin Structures
- Rule of Transposition/Formulation 2/Forward Implication/Proof
S
- Definition:Saturation of Multiplicatively Closed Subset of Ring
- Second Borel-Cantelli Lemma
- Definition:Separably Closed Field
- Sequence of Powers of Number less than One
- Definition:Set of Literals
- Set Operations on Primitive Recursive Relations
- Shape of Cotangent Function
- Shape of Tangent Function
- Definition:Simple Function
- Simultaneous Equation With Two Unknowns
- Singleton Equality
- Definition:Singular Conjunction
- Definition:Space of Bounded Linear Transformations
- Definition:Space of Simple Functions
- Spectral Theorem for Compact Hermitian Operators
- Spectrum of Self-Adjoint Densely-Defined Linear Operator is Real and Closed
- Definition:Stability (Differential Equations)