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Member for
11 years 6 months
My articles: 
$L^p$-space
$\operatorname{ker} L=\{0\}$ if and only if $L$ is injective
2-3 tree
a connected and locally path connected space is path connected
a line segment has at most one midpoint
A. Cohn's irreducibility criterion
additive inverse of an inverse element
algebraic connectivity of a graph
alternating knot
amalgamation property
amphicheiral knot
another proof of cardinality of the rationals
anti-isomorphism
any rational number is a sum of unit fractions
approximation of the log function
area of a polygonal region
area of a quadrilateral
area of a spherical triangle
axial vector
B-tree
Baker-Campbell-Hausdorff formula(e)
balance
balanced tree
BB(alpha) tree
betweenness relation
bibliography for topology
biconditional
binary search tree
binomial distribution
bornological space
bounded set
canonical basis for symmetric bilinear forms
Cartesian product of vector spaces
Cauchy's root test
Cayley graph
characteristic
characterizations of majorization
Chebyshev functions
chromatic number of a metric space
Clairaut's theorem
clique
comparison between Lebesgue and Riemann Integration
completely normal
completely reducible
compound matrix
concepts of voting
confocal
conformal partitioning
connected im kleinen
connected sum
contact point
continuous convergence
continuum
contour integral
de Bruijn digraph
derivation of geometric mean as the limit of the power mean
derivation of Hartley function
determinant in terms of traces of powers
diagonalizable
differential entropy
direct product of modules
Dirichlet eta function
disjoint disks property
distribution function
dodecahedron
dual module
Dunkl-Williams inequality
equilateral triangle
Euler characteristic
Euler's polyhedron theorem
every finite dimensional subspace of a normed space is closed
every subspace of a normed space of finite dimension is closed
example of an operator
example of pigeonhole principle
example of quasi-affine variety that is not affine
existence of nth root
finite projective plane
fixed point
free module
Fr\'echet derivative is unique
full subgroup
fully indecomposable matrix
fully T4
fundamental theorem of algebra
Gaussian curvature
Gaussian distribution maximizes entropy for given covariance
generalization of the parallelogram law
generalized Cartesian product
generalized H\"older inequality
generalized mean
generalized Vandermonde matrix
generalized zeta function
genus of topological surface
geodesic
geometric distribution
global field
Golab's theorem
golden ratio
Google matrix
googol
Graeco-Latin squares
group inverse
Hadamard conjecture
Hamming distance
Hardy's inequality
Harnack's principle
Hausdorff dimension
height
height-balanced tree
Helmholtz equation
Hermite-Hadamard integral inequality
history of prime numbers
Hlawka's inequality
Hopkins theorem
How are normal and T4 spaces defined in books?
imaginary unit
immanent
incidence matrix with respect to an orientation
inductive proof of binomial theorem
internal direct sum of ideals
invertible sheaf
Jordan canonical form theorem
Jordan content of an $n$-cell
key
Kronecker product
Landau notation
Laplace equation
Laplacian matrix of a graph
Latin square
Lazear model of a private school
length of curve in a metric space
linear congruence
linear convergence
linear ordered geometry
linear recurrence
linear time invariant system
Lipschitz condition and differentiability
Lucas numbers
MacLaurin's inequality
Markov chain
matching
mean curvature (plane curve)
metacompact
midpoint
minimality of integral basis
Minkowski functional
mirror image of a knot
Moore graph
multidimensional Gaussian integral
multigraph
M\"obius strip
necessary and sufficient condition for diagonalizability
neighborhood system
non-multiplicative function
normed plane
onto linear transformation, definition of
order (of a graph)
orthocenter
parallelogram law
partial derivative
Peano space
permutation operator
Poincar\'e dodecahedral space
polygon
polyhedron
positive multiple of an abundant number is abundant
positive semidefinite
prime knot
primitive matrix
principle of inclusion-exclusion
prismatoid
probability distribution function
projective curve
proof of Banach-Alaoglu theorem
proof of PTAH inequality
proof of Hilbert space is uniformly convex space
proof of area of a quadrilateral
proof of arithmetic-geometric-harmonic means inequality
proof of Cayley-Hamilton theorem in a commutative ring
proof of functional equation for the theta function
proof of Gaussian maximizes entropy for given covariance
proof of generalization of the parallelogram law
proof of inequalities for difference of powers
proof of parallelogram law
proof of Schwarz lemma
proof of Stewart's theorem
proof that components of open sets in a locally connected space are open
proof that Hadamard matrix has order 1 or 2 or 4n
proposed elementary proof of Fermat's last theorem
Prouhet-Thue-Morse sequence
pseudograph
PTAH inequality
Pythagorean n-tuple
quadrant
quasi-invariant
quasipositive matrix
Ramanujan sum
range voting
reducible matrix
relation as union of functions
relative entropy
resultant
resultant (alternative treatment)
Riemann-Stieltjes integral
ringed space
rotund space
Sard's theorem
search tree
secant line
second order linear differential equation with constant coefficients
second proof of Wedderburn's theorem
set
sigma--ring of sets
simplex algorithm
simplicial approximation
simplicial approximation theorem
simplicial mapping
singular
skew Hadamard matrix
Smith normal form
some theorems on strict betweenness relations
some theorems on the axioms of order
space curve
standard basis
standard n-ball
strict betweenness relation
strong law of small numbers
submatrix notation
symmetric multilinear function
symmetric tensor
symmetrizer
system state
tangent line
termwise differentiation
test newcommand and nested lists
the topologist's sine curve has the fixed point property
theorem about cyclic subspaces
theorem for normal triangular matrices
Thomassen's theorem on $3$-connected graphs
time invariant
topology induced by uniform structure
totally bounded
totally positive matrix
uniformly continuous on $\mathbb{R}$ is roughly linear
unimodular group
unitary representation
values of the Riemann zeta function in terms of Bernoulli numbers
very ample
Wagner's theorem
wave equation
wild
Wishart distribution
yet another proof of parallelogram law
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algebraic closure of a finite field editors
constructible numbers editors
Egyptian Fractions, Hultsch-Bruins Method editors
Euclidean field editors
jirkaeditors
PM Community Guidelines editors
puzioeditors
rmeditors
World Writable
My questions: 
approximate eigenpair
arc sine law
Multirow tables
Riemann curvature tensor
Forename: 
Thomas
Surname: 
Foregger
City: 
Berkeley Heights
State: 
NJ
Country: 
Homepage: 
Preamble: 
% this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here
Bio: 
Ph.D in math from University of Wisconsin in algebra and combinatorics.
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