Transformation of the response of a linear model is a popular method in practice when attempting to satisfy the assumptions of the model. Environmental research routinely uses log-transformations due to the nature of the observed data. The choice of the transformation is often made based upon previous experience or on the comparison of models with different transformed responses. Often a transf...

In this paper we investigate a simple nonlinear shift-invariant transformation with respect to its nonlinear properties relevant in cryptographic applications. With respect to diierential cryptanalysis it is shown that the space of possible disturbances at the output of the transformation caused by a disturbance at the input of the transformation can be described as an aane variety. All disturb...

Abstract — This paper considers a linear programming problem with ellipsoidal distributions including fuzziness. Since this problem is not well-defined due to randomness and fuzziness, it is hard to solve it directly. Therefore, introducing chance constraints, fuzzy goals and possibility measures, the proposed model is transformed into the deterministic equivalent problems. Furthermore, since i...

We define a transformation of models of additivefree propositional linear logic, closely related to de Paiva’s dialectica categories, but with a modified exponential based on Oliva’s dialectica interpretation of higher-order linear logic. As a result of this modification we obtain an elegant factorisation of dialectica models as linear-nonlinear adjunctions. From the point of view of game seman...

Rotations are essential transformations in many parts of numerical linear algebra. In this paper, it is shown that there exists a family of matrices unitary with respect to an orthosymmetric scalar product J , that can be decomposed into the product of two J-unitary matrices—a block diagonal matrix and an orthosymmetric block rotation. This decomposition can be used for computing various one-si...