We show that the hard-square lattice gas with activity z = −1 has a number of remarkable properties. We conjecture that all the eigenvalues of the transfer matrix are roots of unity. They fall into groups (“strings”) evenly spaced around the unit circle, which have interesting number-theoretic properties. For example, the partition function on an M × N lattice with periodic boundary condition i...

Abstract This climate manipulation prototype is a tool that helps monitor vine condition and automatically carries out the treatment. The design of this can also make it easier to care for plants remotely. plant state be controlled with android application which display in real-time. type research & development uses waterfall model, has stages: analysis, design, coding, testing. Based on re...

This paper proposes a novel approach for living and missing vine identification characterization in goblet-trained plots using aerial images. Given the periodic structure of goblet vineyards, RGB color coded parcel image is analyzed proper processing techniques order to determine locations vines. Vine achieved by implementing marker-controlled watershed transform where centers vines serve as ob...