Category:Improvements
These are pages containing proofs that, although correct, are not the best they could be.
See the Improve template.
Pages in category "Improvements"
The following 99 pages are in this category, out of 99 total.
A
B
C
- Cantor's Theorem (Strong Version)/Proof 2
- Characteristic of Ordered Integral Domain is Zero
- Definition:Class (Descriptive Statistics)
- Compact First-Countable Space is Sequentially Compact
- Compact Subspace of Linearly Ordered Space
- Compact Subspace of Linearly Ordered Space/Reverse Implication
- Compact Subspace of Linearly Ordered Space/Reverse Implication/Proof 2
- Compactness Theorem
- Condition for Ideal to be Total Ring
- Conditions for Strong Minimum of Functional
- Continuum Property/Proof 1
- Definition:Contravariant Hom Functor
- Cosine of Sum/Proof 4
- Countable Union of Finite Sets is Countable
- Definition:Covariant Hom Functor
D
- De Morgan's Laws imply Uniquely Complemented Lattice is Boolean Lattice
- Definite Integral from 0 to Half Pi of Even Power of Sine x
- Definite Integral from 0 to Half Pi of Odd Power of Sine x
- User:Dfeuer/thought
- Diagonals of Rhombus Bisect Angles
- Disjunction has no Inverse
- Divergent Series/Examples/n over n^2 + i
E
- Eigenvalues of Normal Operator have Orthogonal Eigenspaces
- Equation for Perpendicular Bisector of Two Points
- Equivalence of Definitions of Transitive Closure (Set Theory)
- Equivalence of Subobjects is Equivalence
- Euler Polyhedron Formula
- Euler's Equation for Vanishing Variation is Invariant under Coordinate Transformations
- Euler's Number: Limit of Sequence implies Base of Logarithm
- Exponential of Sum/Real Numbers/Corollary
F
G
I
- Image of Small Class under Mapping is Small
- Increasing Sequence in Ordered Set Terminates iff Maximal Element
- Indexed Summation of Multiple of Mapping
- Intersection of Ordinals is Smallest
- Inverse of Vandermonde Matrix
- Definition:Irreducible (Representation Theory)
- Definition:Irreducible (Representation Theory)/G-Module
M
N
O
P
- P-Product Metrics on Real Vector Space are Topologically Equivalent
- P-Product Metrics on Real Vector Space are Topologically Equivalent/Inequality for General Case
- Perpendicular Bisector of Triangle is Altitude of Medial Triangle
- Primary Decomposition Theorem
- Primitive of Reciprocal of x squared plus a squared/Proof 3
- Primitive of x over Root of a x + b by Root of p x + q
- Product of Sigma and Euler Phi Functions
- Projection from Product Category
- Pullback of Quotient Group Isomorphism/Examples/C6 with A4
R
- Rational Numbers with Denominators Coprime to Prime under Addition form Group
- Recursively Defined Sequence/Examples/Term is Term of Index less 1 plus 6 times Term of Index less 2
- Relation between Two Ordinals
- Relationship between Transitive Closure Definitions
- Residue Field of P-adic Norm on Rationals/Lemma 1
S
- Seifert-van Kampen Theorem
- Shape of Cosecant Function
- Shape of Secant Function
- Sign of Composition of Permutations
- Sine to Power of Odd Integer
- Solution to Legendre's Differential Equation
- Strictly Increasing Sequence induces Partition
- Strictly Increasing Sequence of Natural Numbers
- Subband of Induced Operation is Set of Subbands
- Subset Relation is Compatible with Subset Product
- Subset Relation is Compatible with Subset Product/Corollary 2
- Sufficient Conditions for Uncountability
- Sum of Indexed Suprema
- Sum of Sequence of Seventh Powers
- Sums of Squares of Diagonals of Order 3 Magic Square
- Supremum of Absolute Value of Difference equals Supremum of Difference
