-
Recent Posts
Tags
- Borsuk-Ulam
- Cayley-Hamilton Theorem
- characters
- Chinese remainder theorem
- Compression
- Diophantine approximation
- Dirichlet's theorem
- Dirichlet's approximation theorem
- Dirichlet's unit theorem
- Domino
- Dynamics
- eigenvalues
- Entropy
- Euclid
- Fourier transform
- gaussian integers
- Generic Matrix
- Geometry
- Geometry of numbers
- Ham sandwich
- Homogeneous spaces
- Hyperbolic space
- intermediate value theorem
- isoperimetric inequality
- Klein group
- lattice
- Lattices
- Linearity testing
- mediant
- Minkowski's Theorem
- mobius
- Number Theory
- Peg Solitaire
- Pell's equations
- planar geometry
- poinare disk
- prime numbers
- Pythagoras
- radar
- random walk
- self similar sets
- shortest vector problem
- Sierpinski carpet
- Sierpinski triangle
- SL_2(Z)
- stochastic matrices
- Weak Law of Large Numbers
Archives
-
Monthly Archives: January 2017
Minkowski’s theorem
In the post about Diophantine approximation, we saw that in order to find “good” rational approximations to a real number, it is enough to prove that given a lattice and a “big enough” box around the origin, the box must … Continue reading
From number theory to geometry of lattices
Number theory can mean a lot of thing to a lot of people. This is a very big part of mathematics, and it contains many areas starting with the elementary number theory (“simple” congruence like arguments), algebraic number theory (e.g. … Continue reading