Some Reduction Formulas and the Characterization of Singular and Nonsingular Directed Fans S. Gervacio, l. Jose (pp. 34-38) Abstract A diagraph is called singular or nonsingular according as its adjacency matrix is singular or nonsingular. An expression of the determinant …
On Semi-Continuous Functions S. Canoy, Jr., J. Benitez (pp. 22-25) Abstract This paper gives equivalent statements of semi-continuity, a concept introduced by N. Levine in 1963. In particular, we give a characterization of semi-continuity which utilizes the concept of semi-closure …
A Closed Integral Form for the Background Gauge Connection E. Rodulfo, J. Pagaran (pp. 17-21) Abstract By the appropriate use of the Fock-Schwinger gauge properties, we derive the closed integral form of the 'point-split' non-local background gauge connection originally expressed …