R. LEMKIN'S CONTRIBUTION TO THE DEVELOPMENT OF MODERN INTERNATIONAL LAW AND INTERNATIONAL CRIMINAL LAW

This article presents the significance and impact of Lemkin's concept of genocide on the development of international law. We will randomly present the jurisprudence of international courts such as the ICJ, the ICC, the ICTY and the ICTR, which analyzed the concepts of genocide, including cultural heritage crimes. Residual functions of the ICTY, including oversight of sentences and consideration of any appeal proceedings initiated since 1 July 2013, are under the jurisdiction of a successor body, the International Residual Mechanism for Criminal Tribunals (IRMCT). The article also invites attention to the impact on R2P and the human rights, as well as international state responsibility and the individual responsibility.

An improved reduction method for phase stability testing in the single-phase region

A new reduction method for mixture phase stability testing is proposed, consisting in Newton iterations with a particular set of independent variables and residual functions. The dimension of the problem does not depend on the number of components but on the number of components with nonzero binary interaction parameters in the equation of state. Numerical experiments show an improved convergence behavior, mainly for the domain located outside the stability test limit locus in the pressure–temperature plane, recommending the proposed method for any applications in which the problematic domain is crossed a very large number of times during simulations.

Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method

In this paper, a study of a numerical approximate solution to fuzzy Volterra integro-differential equations is presented under strongly generalised differentiability by applying an influent effective technique, called the Residual Power Series (RPS) method. The solution approach can be expressed on Taylor's series formula in terms of elementary σ-level representation, whereas the coefficients can be computed by utilising its residual functions. Furthermore, a numerical computational example is given to test and validate the proposed method. The results reached show several features concerning the RPS method such as potentiality, generality and superiority to handle many problems arising in physics and engineering.

Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method

In this paper, a study of a numerical approximate solution to fuzzy Volterra integro-differential equations is presented under strongly generalised differentiability by applying an influent effective technique, called the Residual Power Series (RPS) method. The solution approach can be expressed on Taylor's series formula in terms of elementary σ-level representation, whereas the coefficients can be computed by utilising its residual functions. Furthermore, a numerical computational example is given to test and validate the proposed method. The results reached show several features concerning the RPS method such as potentiality, generality and superiority to handle many problems arising in physics and engineering.

Numerical Investigation to Fuzzy Volterra Integro-Differential Equations via Residual Power Series Method

In this paper, a study of a numerical approximate solution to fuzzy Volterra integro-differential equations is presented under strongly generalised differentiability by applying an influent effective technique, called the Residual Power Series (RPS) method. The solution approach can be expressed on Taylor's series formula in terms of elementary σ-level representation, whereas the coefficients can be computed by utilising its residual functions. Furthermore, a numerical computational example is given to test and validate the proposed method. The results reached show several features concerning the RPS method such as potentiality, generality and superiority to handle many problems arising in physics and engineering.

Accuracy Tests on Built-In Algorithms Applied to the Lorenz System

This work investigate, An idea of checking accuracy of algorithms from mathematical black box by means of residual functions. Lorenz system is used as case study as the chaotic system does not have analytical solution. The numerical procedures examined include BDF, Adams method and Implicit Runge Kutta methods. The interval of numerical results is t ∈ [0; 10].

Multipath Residual Network for Spectral-Spatial Hyperspectral Image Classification

Convolutional neural networks (CNNs) have recently shown outstanding capability for hyperspectral image (HSI) classification. In this work, a novel CNN model is proposed, which is wider than other existing deep learning-based HSI classification models. Based on the fact that very deep residual networks (ResNets) behave like an ensemble of relatively shallow networks, our proposed network, called multipath ResNet (MPRN), employs multiple residual functions in the residual blocks to make the network wider, rather than deeper. The proposed network consists of shorter-medium paths for efficient gradient flow and replaces the stacking of multiple residual blocks in ResNet with fewer residual blocks but more parallel residual functions in each of it. Experimental results on three real hyperspectral data sets demonstrate the superiority of the proposed method over several state-of-the-art classification methods.