Sunya and the Shinshu Doctrine

Free Z - module 1 Yuichi Futa Shinshu University Nagano , Japan Hiroyuki Okazaki Shinshu University Nagano , Japan Yasunari Shidama Shinshu University Nagano , Japan

In this article we formalize a free Z-module and its rank. We formally prove that for a free finite rank Z-module V , the number of elements in its basis, that is a rank of the Z-module, is constant regardless of the selection of its basis. Z-module is necessary for lattice problems, LLL(Lenstra, Lenstra and Lovász) base reduction algorithm and cryptographic systems with lattice [15]. Some theo...

The Doctrine of Signatures.

‘The Doctrine of Signatures’ started with the idea that God has marked everything he created with a sign (signature). The sign showed the purpose for the creation of the item. The ‘Doctrine of Signatures’ was promulgated by the writings of Jakob Böhme (1575–1624), a shoemaker in Görlitz, Germany, who had a profound mystical vision in which he saw a relationship between God and man that caused h...

The Real Bills Doctrine

With recession lingering and interest rates remaining high, one hears increasingly that the Fed should abandon its money growth targets and move to a policy of lowering interest rates to full employment levels. All would be well, we are told, if only the Fed would set a fixed low interest rate target consistent with full employment and then let the money stock adjust to money demand to achieve ...

The Pla’s Evolving Campaign Doctrine and Strategies

China’s military planners like to claim that in overall terms, the PLA is technologically inferior if compared with its potential adversaries. Such inferiority will continue in the foreseeable future, even though the People’s Liberation Army (PLA) has made some progress in modernizing its weaponry in recent years. On the other hand, the strategic principles of the PLA have undergone a major shi...

Sharpening the Doctrine of God