Miscellaneous mathematical mumblings
- An attempted visualization of the Petersen graph
(2016-02-16)
- Measurable sets with non-measurable Minkowski sum
(2011-05-27;
PDF;
2 pages)
- Euler's formula without calculus
(2014-07-29, modified 2014-09-16;
PDF;
31 pages)
- An illustration of Euclid I.47
(2014-06-28)
- Dissection of a cube into six congruent tetrahedra
(2014-06-21)
- Integral of powers of sine
(2013-12-03;
PDF;
4 pages)
- A short introduction to tensor products of vector spaces
(2013-11-30, modified 2013-12-17;
PDF;
10 pages)
- References for seminar on K-convexity
(2011-11-08;
PDF;
2 pages)
- Notes for seminar on covering numbers
(2010-03-21, modified 2010-07-10;
PDF;
15 pages)
- Notes for seminar on volume ratio
(2009-11-27, modified 2011-08-05;
PDF;
26 pages)
- Estimating central binomial coefficients
(2009-07-06, modified 2013-12-06;
PDF;
2 pages)
- K7 on the torus
(2008-04-27)
- Commuting with complement
(2008-01-31;
PDF;
1 page)
- Trigonometric motivation for the dot product
(2008-01-16;
PDF;
1 page)
- Combinational logic with 3-colouring
(2007-12-22, modified 2013-02-24;
PDF;
5 pages)
- A reduction of CLIQUE to MAX 2-SAT
(2007-11-29;
PDF;
3 pages)
- Identities on intersection and union with a fixed set
(2007-11-06, modified 2007-12-15;
PDF;
2 pages)
- On how translating the origin changes norms
(2007-08-16, modified 2007-10-18;
PDF;
2 pages)
- The largest centred ball in a simplex
(2007-06-16;
PDF;
3 pages)
- Notes on tangents to parabolas
(2007-04-03, modified 2011-08-21;
PDF;
7 pages)
- Thales' theorem and completing the square
(2007-03-18, modified 2007-03-22;
PDF;
1 page)
- Every ring is a subring of a ring with unity
(2006-12-27)
- See-saw approximations with the gamma function integral
(2006-12-19, modified 2007-05-26;
PDF;
1 page)
- Counting intersections of spirals on a torus
(2006-11-16, modified 2007-03-15;
PDF;
9 pages)
- Two proofs of a factorial identity
(2006-08-04)
- An illustration of Euclid III.21
(2006-07-21)
- Counting self-square numbers
(2006-05-23, modified 2007-06-22;
PDF;
7 pages)
- An observation on incentres
(2006-01-06;
PDF;
1 page)
- Cancelling primes in binomial coefficients
(2005-05-10, modified 2007-10-28;
PDF;
3 pages)
Mail Steven: steven@amotlpaa.org