The Military Academy (AM; Academia Militar in Portuguese) is a Portuguese military establishment, which has the ability to confer educational qualifications equivalent to a university. It develops activities of teaching, research and support for the communities with the purpose of training and forming officers for the Portuguese Army and the Republican National Guard..
The standard cosmological analysis with the Lycx forest relies on a continuum fitting procedure that suppresses information on large scales and distorts the three-dimensional correlation function on all scales. In this work, we present the first cosmological forecasts without continuum fitting distortion in the Lycx forest, focusing on the recovery of large-scale information. Using idealized synthetic data, we compare the constraining power of the full shape of the Lycx forest auto-correlation and its cross-correlation with quasars using the baseline continuum fitting analysis versus the true continuum. We find that knowledge of the true continuum enables a similar to 10% reduction in uncertainties on the Alcock-Paczy & nacute;ski (AP) parameter and the matter density, ohm m. We also explore the impact of large-scale information by extending the analysis up to separations of 240 h-1Mpc along and across the line of sight. The combination of these analysis choices can recover significant large-scale information, yielding up to a similar to 15% improvement in AP constraints. This improvement is analogous to extending the Lycx forest survey area by similar to 40%.
This paper investigates the existence of solutions, stability, and numerical simulations for a generalized fractional jerk equation with fractional antiperiodic boundary conditions, both involving Caputo derivatives. The model features non-integer order derivatives in the equation and boundary conditions, resulting in a more general formulation. Fixed-point theory is employed to establish sufficient conditions for the existence and uniqueness, leading to novel results. Furthermore, Ulam-Hyers stability and its generalized form are analyzed to ensure robustness of the solutions. Examples are presented to demonstrate the applicability of the theoretical findings, with the system's behavior and stability analyzed for various fractional orders a and /i using MATLAB. A special case of the proposed system is also discussed in the conclusion.
In this paper, our interest is the numerical simulation of a free surface flow problem over pertubed topography at the bottom of an infinite 2D channel. We take into account both of the gravity and the superficial tension. The flow is assumed to be stationnary, irrotational and supercritical; The fluid is perfect and incompressible. We proceed by transforming the Bernoulli equation (written on the free surface flow) on fKdV equation in one dimension. The problem is solved numerically by the finite difference method. Various results are given in the cases of different topographies, and different values of the Froude number and the Bond number.
