Algebraic normal formPlanar functionPN functionAPN functionIn the design of cryptographic functions, the properties of their discrete derivatives have to be carefully considered, as many cryptographic attacks exploit these properties. One can therefore attempt to first construct derivatives with the desired...
Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected In this article we use different computer programs provided with Computer Algebraic Systems in order to compute antiderivatives of functions. The examples discussed here show that the...
Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected In this article we use different computer programs provided with Computer Algebraic Systems in order to compute antiderivatives of functions. The examples discussed here show that the...
An example of a J-I-E tower is the iterated antiderivative extensions of the field of rational functions () generated by iterated logarithms, closed at each stage by all (translation) automorphisms. We analyze the algebraic and differential structure of these extensions. In particular, we show ...
Geometric derivation of formulae for the algebraic sum of antiderivatives of goniometric functions of different argumentsPánek, Augustin
An example of a J-I-E tower is the iterated antiderivative extensions of the field of rational functions C(x) generated by iterated logarithms, closed at each stage by all (translation) automorphisms. We analyze the algebraic and differential structure of these extensions. In particular, we ...
Using Computer Algebraic Systems to compute antiderivatives: Showing some mathematical facts that should not be neglected In this article we use different computer programs provided with Computer Algebraic Systems in order to compute antiderivatives of functions. The examples discussed here show that the...