In this paper we propose an algorithm for enumerating diagonal Latin squares of small order. It relies on specific properties of diagonal Latin squares to employ symmetry breaking techniques, and on several heuristic optimizations and bit arithmetic techniques to make use of computational power of stateof-the-art CPUs. Using this approach we enumerated diagonal Latin squares of order at most 9,...

— We prove a quantitative version of a result of Furstenberg [20] and Deligne [13] stating that the the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime p the reduction modulo p of the diagonal of a multivariate algebraic power series f with integer coefficients is an algebrai...

A new technique invented for suppressing the FWM in SAC-OCDMA systems based on adding idle code at the sideband of the code construction to generate the virtual FWM power at the sideband of the signal, and then by subtracting these virtual FWM power from the original FWM power in the system and filtering the data part at the channel. This technique is applied for both SAC codes, Random Diagonal...

Most techniques for power system analysis model the grid by exact electrical circuits. For instance, in power flow study, state estimation, and voltage stability assessment, the use of admittance parameters (i.e., the nodal admittance matrix) and hybrid parameters is common. Moreover, network reduction techniques (e.g., Kron reduction) are often applied to decrease the size of large grid models...

This paper reports on a low-voltage CMOS power MOSFET layout technique, implemented in a 0.25μm, 5-metal layers CMOS process that is suitable for high speed switching power devices. The proposed hybrid waffle (HW) layout technique organizes MOSFET fingers in a square grid (waffle) arrangement. It is designed to provide an effective trade-off between the width of diagonal source/drain metal and ...

The allocation of distributed generation and capacitor banks is critical for success in the planning power grids. A methodology developed optimal placement renewable (wind photovoltaic powers) based on technical economic parameters. In order to preserve horoseasonal stochastic dependence nature wind solar power, uses a model that integrates sequential Monte Carlo method diagonal band Copula mod...

“Geomagnetically induced currents” (GIC) in ground-based technological networks are a manifestation of space weather. GIC are a potential source of problems to the systems and therefore important in practice. GIC in a power system (or in principle in any other discretely-earthed system) can be calculated conveniently by using matrix equations presented earlier. Since temporal variations associa...

We study the covariance of the cross-power spectrum of different tracers for the largescale structure. We develop the counts-in-cells framework for the multi-tracer approach, and use this to derive expressions for the full non-Gaussian covariance matrix. We show, that for the usual auto-power statistic, besides the off-diagonal covariance generated through gravitational mode-coupling, the discr...

This paper describes a new approach to cathode-ray tube design aimed at achieving a significant depth reduction. The addressing function of the electron beam has been separated from the light generation process by a channel electron multiplier array, allowing the use of a novel deflection system based on a low-power scanning beam. Monochrome versions of the thin tube have been made with a 12" (...