# Category:Mergeto

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Pages in this category have been suggested for merger into another page.

## Subcategories

This category has only the following subcategory.

### D

- Dimension of Proper Subspace (1 P)

## Pages in category "Mergeto"

The following 200 pages are in this category, out of 204 total.

(previous page) (next page)### A

- Absolute Value of Definite Integral
- Definition:Absolutely Convergent Integral
- Definition:Absolutely Integrable Function
- Definition:Algebra (Abstract Algebra)
- Alternative Definition of Ordinal
- Alternative Definition of Ordinal in Well-Founded Theory
- Definition:Arc Length
- Definition:Archimedean Property
- Area under Curve
- Argument of x to the n Equals n Times The Argument

### B

### C

- Definition:Canonical Epimorphism
- Definition:Cardinal
- Definition:Cardinal Number
- Cardinality of Integer Interval
- Characterisation of Linearly Independent Set through Free Module Indexed by Set
- Characterisation of Spanning Set through Free Module Indexed by Set
- Definition:Characteristic Polynomial
- Definition:Closure Axioms (Matroid)
- Closure of product equals product of closures
- Commutative Linear Transformation is G-Module Homomorphism
- Complement of Prime Ideal of Ring is Multiplicatively Closed
- Complete Linearly Ordered Space is Compact
- Definition:Complex Disk/Open
- Composition of Mapping with Inclusion is Restriction
- Condition for Cartesian Product Equivalent to Associated Cardinal Number
- Condition for Nu Function to be 1
- Connected iff no Proper Clopen Sets
- Definition:Contour/Length
- Correspondence between Rational Numbers and Simple Finite Continued Fractions
- Cycloid has Tautochrone Property

### D

- Definition:Deduction Rule
- Definite Integral is Area
- Definition of Polynomial from Polynomial Ring over Sequences
- Degree of Product of Polynomials over Ring/Corollary 1
- Derivative of Sequence of Holomorphic Functions
- Definition:Differential Operator
- Divisibility of Numerator of Sum of Sequence of Reciprocals

### E

- Eigenvalues of Hermitian Operator are Real
- Equivalence of Definitions of Integral Dependence
- Equivalence of Definitions of Norm of Linear Functional
- Equivalence of Definitions of Trigonometric Functions
- Equivalence of Well-Ordering Principle and Induction/Proof/WOP implies PFI
- Definition:Euclidean Metric/Real Vector Space
- Definition:Euclidean Space
- Definition:Euclidean Space/Euclidean Topology/Real
- Definition:Euclidean Space/Euclidean Topology/Real Number Line
- Definition:Euclidean Space/Real
- Existence-Uniqueness Theorem for First-Order Differential Equation
- Exponential Growth Equation/Special Case

### F

- Factorial Divides Product of Successive Numbers
- Definition:Field Extension/Complex
- Finite Main Lemma of Propositional Tableaus
- Fourier Series/Identity Function over Minus Pi to Pi
- Fourier Series/Sawtooth Wave/Special Cases/Half Interval Pi
- Definition:Fractional Part
- Definition:Free Group Action
- Definition:Fundamental Group
- Fundamental Theorem of Well-Ordering

### G

### I

- Identity Theorem
- Image of Ideal under Ring Epimorphism is Ideal
- Image of Small Class under Mapping is Small
- Index Laws for Monoid
- Index Laws for Monoids
- Index Laws for Monoids/Product of Indices
- Index Laws for Monoids/Sum of Indices
- Index Laws/Product of Indices/Monoid
- Index Laws/Sum of Indices/Monoid
- Indexed Union Subset
- Inductive Definition of Sequence
- Inner Product/Examples/Lebesgue 2-Space
- Integer Multiplication is Well-Defined
- Definition:Integrable Function/Unbounded
- Integral of Arcsine Function
- Integral of Distribution Function
- Definition:Integral of Integrable Function
- Integral Resulting in Arcsecant
- Intersection is Decreasing
- Interval of Ordered Set is Convex
- Interval of Totally Ordered Set is Convex
- Definition:Invertible Continuous Linear Operator
- Definition:Irreducible Element of Ring
- Definition:Isometry (Hilbert Spaces)

### L

### M

- Definition:Magnitude
- Mappings to Algebraic Structure form Similar Algebraic Structure
- Mappings to R-Algebraic Structure form Similar R-Algebraic Structure
- Template:MathSE
- Measurable Image
- Template:Mergeto
- Method of Undetermined Coefficients/Sine and Cosine/Particular Solution/i b is Root of Auxiliary Equation/Exponential Form
- Min Operation on Toset forms Semigroup
- Min Semigroup is Commutative
- Minimal Element of an Ordinal
- Definition:Minkowski Sum
- Mittag-Leffler Expansion for Cotangent Function
- Modus Ponendo Ponens for Semantic Consequence in Predicate Logic
- Monotone Convergence Theorem (Measure Theory)
- Definition:Multiplicity (Complex Analysis)

### N

- Negation as Implication of Bottom
- Definition:Neighborhood (Complex Analysis)
- Definition:Net (Preordered Set)
- Norm is Continuous
- Norm on Vector Space is Continuous Function
- Definition:Normal Subgroup of Monoid
- Normal Subgroup Test
- Definition:Number Base/Fractional Part
- Number of Digits in Number
- Numbers not Expressible as Sum of Fewer than 19 Fourth Powers

### O

### P

- Definition:P-adic Valuation/Integers
- Parallelogram Law
- Definition:Partial Differential Operator
- Partial Fractions Expansion of Cotangent
- Periodicity of Complex Exponential Function
- Definition:Permutation Symbol
- Definition:Pointwise Addition of Mappings
- Definition:Pointwise Operation
- Definition:Pointwise Scalar Multiplication of Mappings/Real-Valued Functions
- Definition:Pointwise Scalar Multiplication of Real-Valued Function
- Positive Integers not Expressible as Sum of Fewer than 19 Fourth Powers
- Definition:Prime Element of Ring
- Definition:Primitive (Calculus)/Indefinite Integral
- Primitive of Reciprocal/Corollary 2
- Principle of Finite Induction/One-Based
- Definition:Probability Mass Function
- Product of Summations is Summation Over Cartesian Product of Products
- Product of Uniformly Convergent Sequences of Bounded Functions is Uniformly Convergent
- Projector has Norm 1
- Proportion is Transitive

### R

- Ray is Convex
- Definition:Real Number/Operations on Real Numbers
- Definition:Reciprocal Proportion
- Definition:Recursive Sequence
- Definition:Region/Plane
- Definition:Relation Segment
- Restriction of Strict Total Ordering is Strict Total Ordering
- Restriction to Subset of Strict Total Ordering is Strict Total Ordering
- Ring Homomorphism whose Kernel contains Ideal
- Ring of Polynomial Forms is Integral Domain
- Ring of Polynomial Forms over Integral Domain is Integral Domain

### S

- Sequential Right-Continuity is Equivalent to Right-Continuity in the Reals
- Series Expansion for Pi Cotangent of Pi Lambda
- Series of Power over Factorial Converges
- Set Contained in Smallest Transitive Set
- Definition:Set Derivative
- Set is Equivalent to Image under Injection
- Set of Words Generates Group
- Definition:Set-Like Relation
- Definition:Similar Planes
- Solution to Simultaneous Linear Congruences
- Definition:Stable under Intersection
- Template:Stackexchange
- Definition:String/Finite
- Definition:Structure (Set Theory)
- Subgroup Action is Group Action
- Subgroup is Subset of Conjugate iff Normal
- Subgroup is Superset of Conjugate iff Normal
- Subset of Empty Set iff Empty
- Sum of Powers of Positive Integers
- Sum of Squares as Product of Factors with Square Roots
- Summation is Linear/Sum of Summations
- Summation over Cartesian Product as Double Summation
- Definition:Supremum Operator Norm
- Synthetic Basis formed from Synthetic Sub-Basis