Difference between revisions of "Category:XXX Todo"

0

• Template:0^0
• 0^0

2

• 2-Dimensional rotation matrix

A

• A compact and convex subset of Euclidean n-space with non-empty interior is a closed n-cell and its interior is an open n-cell
• A continuous map induces a homomorphism on fundamental groups
• A monotonically increasing sequence bounded above converges
• A pair of identical elements is a singleton
• Example:A smooth function that is not real analytic
• Abstract simplicial complex
• Alec's c.d.f-sidestepping sampling method
• Alec's remaining probability bound
• Example:Alec's unmarked die experiment
• An open ball contains another open ball centred at each of its points

B

• Bastard's object
• Bernstein polynomial

C

• Cauchy-Schwarz inequality for inner product spaces
• Circular motion/Notes
• Contractible topological space
• Convex

D

• Notes:Delta complex
• Notes:Delta complex/Formal attempt
• Distribution of the sample median

E

• Electric charge
• Notes:Ell^p(C) is complete for p between one and positive infinity inclusive
• Equivalent statements to a set being dense
• Evenly covered by a continuous map
• Expectation of the geometric distribution

F

• For a vector subspace of a topological vector space if there exists a non-empty open set contained in the subspace then the spaces are equal
• For any vector subspace of a Hilbert space the orthogonal complement and the closure of that subspace form a direct sum of the entire space
• Notes:Functional Analysis II
• Notes:Fundamentals of Algebraic Topology - Weintraub

G

• Geometric distribution

G cont.

• Given a Hilbert space and a non-empty, closed and convex subset then for each point in the space there is a closest point in the subset
• Given two open balls sharing the same centre but with differing radius then the one defined to have a strictly smaller radius is contained in the other
• Graph (topological manifold)

H

• Hexadecimal numbers
• Template:Highlighter
• Homotopy equivalent topological spaces
• Homotopy invariance of path concatenation

I

• If the intersection of two open balls is non-empty then for every point in the intersection there is an open ball containing it in the intersection
• If two charts are smoothly compatible with an atlas then they are smothly compatible with each other
• Index of notation
• Index of notation/L
• Integer division

J

• Example:Joint probability distribution

K

• Kay (unit)

L

• Line through a point
• List of topological properties
• Local homeomorphism
• Locally Euclidean topological space of dimension n
• Locally path-connected topological space
• Loop concatenation

M

• Notes:Mdm of a discrete distribution lemma - round 2
• Mdm of the Poisson distribution
• Doctrine:Measure theory terminology
• Minimum function
• Modulo operation
• Monotone convergence theorem for non-negative numerical measurable functions
• Monotone convergence theorem for non-negative numerical measurable functions/Statement

N

• NeedEditingSpace

O

• Operations on convergent sequences of real numbers
• Order terminology
• Orthogonal complement

P

• Example:Permutation (group theory) of S5

P cont.

• Notes:Poisson and Gamma distribution
• Poisson distribution/RV
• Poisson mixture
• Notes:Polynomial ring
• Proof that the fundamental group is actually a group

Q

• Quotient vector space/New page

R

• Real projective space

S

• Exercises:Saul - Algebraic Topology - 1
• Exercises:Saul - Algebraic Topology - 1/Exercise 1.5
• Simple function under-approximation to a numerical function
• Simplex
• Simplicial complex
• Example:Smooth map between the real line and the circle (considered as smooth manifolds)
• Square lemma (of homotopic paths)
• Square root (real function)
• Notes:Statistical test random variable
• Notes:Stone-Weierstrass theorem

T

• Template:Td/template
• Tensor product of vector spaces
• The 2 foundational ways of counting
• The real numbers
• The real numbers/Infobox
• The singular homology groups of a 1-point space are all trivial except the zeroth which is isomorphic to the integers
• The vector space of all linear maps between two spaces
• There is no set of all sets
• Topological covering space
• Topology induced by a metric
• Total derivative

U

• Unique lifting property

V

• Vertex scheme of an abstract simplicial complex
• Vertex scheme of an abstract simplicial complex/Definition

X

• Template:XXX