Math

[Astro] Finding the Common Intersection of Three Planes Each Foundby a Fit Using LSQ
LSQ (linear least squares) This is a problem that is based in astronomy for meteor work. A meteoroid (rock) is traveling in a straight line through the earth's atmosphere. By physical laws it will be in a plane of a great circle that passes through the earth's center. For simplicity, assume the earth is a sp... 7 May 2010 21:10

Square root of a matrix
For a real symmetric matrix R, I define its square root as R=A^0.5 X (A^0.5)' where ' is transpose. Now I can put U'U =I where U is a unitary matrix and I is the identity matrix and squeeze that in-between so that the solution is not unique. ie R=A^0.5 XU'U X (A^0.5)' = B^0.5 X (B^0.5)' where B=A... 8 May 2010 06:51

My feet! My feet! why can you not lead me into nights slumber!
glird wrote: For the sake of others, i will make believe that Androcles was right in claiming that there is a third system, kappa (x',y'.z';t'), in Einstein's equations along the way to the LTE. Since John Walker seems to be afraid to argue with me on these newsgroups, I will play his part in this myth... 7 May 2010 17:52

To PI or not to PI challenge. Stern-Brocot
Dear readers, At my webpage: http://domingogomez.web.officelive.com/brocotfraction.aspx I have posed a challenge entitled "To PI or not to PI", it deals with a generalized continued fraction (bifurcated fraction) whose coeficients are all the Stern-Brocot fractions, that is, all the positive rational numb... 7 May 2010 14:31

i will play the part of Androcles.
For the sake of others, i will make believe that Androcles was right in claiming that there is a third system, kappa (x',y'.z';t'), in Einstein's equations along the way to the LTE. Since John Walker seems to be afraid to argue with me on these newsgroups, I will play his part in this mythical exercise, which wil... 11 May 2010 12:17

JSH: Morphic non-linear Factoring Random solved
I have solved the field within and around a morphic unit which organizes its random structure and pattern of factoring. I underlie the form and behavior of holons or morphic units at all levels of complexity. This includes your morphogenetic, behavioral, social, cultural, and mental fields. I am shaped and st... 7 May 2010 12:16

Call for participants
Join NFS(a)Home! Help finish the Cunningham project, the longest ongoing computational project in history. ... 13 May 2010 11:36

Inscribed triangles
Hi. I'm trying to solve the following (self-posed ;-) ) problem: "Let ABC and A'B'C' be given triangles of the Euclidean plane. Determine whether A'B'C' can be inscribed inside of ABC. That means, determine whether there is a triangle T' congruent to A'B'C' such that T' is a subset of ABC". Right now, I only ... 8 May 2010 20:00

The best way of writing FOL with identity and membership.
Logical connectives: Negation ~ Disjunction | Implication > Conjunction juxtapositioning of the formulae. Example: QP stands for: Q and P Biconditional <> Quntifiers Existential quantifier _ _x stands for "there exist x" Unique existential quantifier ! !x stands for "there ex... 14 May 2010 00:52

Chapt 3, Fiberglass Experiment; Are the quasars nothing more than the last of the Supernova in view? #65; ATOM TOTALITY
Now here is an interesting brainstorming thoughts. I went to see what the frequency of having a Supernova in the Cosmos was. I found a figure of 1 supernova in a average galaxy every 50 years. A rough estimate of the number of galaxies in the Cosmos is 10^11 and the number of stars on average in a galaxy is 10... 7 May 2010 04:34