Meaning E

SYZYGY17 is a convergence of both people and their meanings. Identity has nothing to do with a card in my pocket or yours. It has to do with how I am known by you. Like John said:

I know you

you know me

one thing I can tell you is you’ve got to be free…

From ‘Come Together’ – Beatles

So come together in Carbondale, Makanda, Paducah or in the field out in front of the Army Base. E pluribus unim.

Applied Math and Media

Growing up during the Cold War in Kentucky gave my world-view a little less than complete treatment as to who I would become, what I would do for a living and how my relationships would later serve mainly to break my heart and hang me out to dry. In spite of all that, I managed to survive to my current age of 61 and am determined not to let the remainder of my life on Earth get dominated by the Evil One. I have wasted plenty of breath trying to convince certain close relatives and distant friends that something positive is going on in the world, completely separate and apart from what is reported on TV News programs. (There’s a reason they are called ‘programs’ by the way.)

Recently, I was introduced to an awesome term which to me represents that “lost chord” that The Moody Blues sent me in search of about four decades ago. If you’ve been following me along in my various web-spaces and spheres of influence (and confluence), you’ll “get”, as I have, the full scope of what this little term ‘syzygy‘ means in all of its glory as a generalized principle much akin to the meta-term SYNERGY of the 20th Century, which I learned of through reading books by R. Buckminster Fuller. Just have a look:

Syzygy (mathematics)

From Wikipedia, the free encyclopedia
For other uses, see Syzygy (disambiguation).

In mathematics, a syzygy (from Greek συζυγία ‘pair’) is a relation between the generators of a module M. The set of all such relations is called the “first syzygy module of M“. A relation between generators of the first syzygy module is called a “second syzygy” of M, and the set of all such relations is called the “second syzygy module of M“. Continuing in this way, we derive the nth syzygy module of M by taking the set of all relations between generators of the (n − 1)th syzygy module of M. If M is finitely generated over a polynomial ring over a field, this process terminates after a finite number of steps; i.e., eventually there will be no more syzygies (see Hilbert’s syzygy theorem). The syzygy modules of M are not unique, for they depend on the choice of generators at each step.

The sequence of the successive syzygy modules of a module M is the sequence of the successive images (or kernels) in a free resolution of this module.

Buchberger’s algorithm for computing Gröbner bases allows the computation of the first syzygy module: The reduction to zero of the S-polynomial of a pair of polynomials in a Gröbner basis provides a syzygy, and these syzygies generate the first module of syzygies.

Further reading


Ripples of Influence
The Common Good is always there waiting for some attention. It seems that attention is at a premium these days with the bombardment of our psyches with the steady stream of nonsense coming from the commercially prostituted media that has driven sanity to the margins of daily life. Who are we to withhold ourselves from the task of restoring Common Sense to our lives?
OzoneFarm is here to assist in the process of realization of the ideal for our own slice of the “masses” which is fairly small according to our year-end stats. But our aim is more toward quality rather than quantity. The ideal that we look to is not of this current world. It comes from a future world that can only be imagined and scarcely even described. All we know for sure is that justice and love will be the dominant themes.
Building real community requires openness, honesty and oneness of both heart and mind. The confusing forces that plague civic life and the overall well-being planet-wide appear to have a common source – an inordinate desire for material gain on the part of an ever-thinner slice of Humanity. Our philosophy is based in the belief that Community is Capital. To us, wealth consists of physical well-being, spiritual liberation and collective cognition of Earth’s ecosystem. It has nothing to do with finance, commerce or even government.
The battle lines are drawn along physical boundaries using ideals that are functions of collective acceptance of a few principles that empower mainly those who have material advantage through the usurpation of civil authority. This condition creates wide-spread misery and despair and results in crime and misbehavior on every level. Every problem ranging from irreparable damage to the ecosystem to mass starvation of innocent children is solvable through a return of the uniquely Human faculty of critical thinking and problem-solving that has delivered us through two World Wars and into a third. This war, though, is one of mind and spirit..
In 2016, we hope to show what can be achieved through tightly-focused community development and cyber-active vocational rehabilitation of our systems and networks. We are ramping up our efforts to build brick-and-mortar instances of maker spaces, rebuild centers, B corporations, permaculture projects, local food networks and other down-to-earth efforts to change things at the local level. At the same time, we are working on forming a collectively-rendered prototype of a new system of accountability and communication based, not upon greed but upon the κοινωνία principle.