AbstractIn this paper, we define two differentials D(f) and Δ(f) for a boolean polynomial f, with n variables. D(f), for instance, is chosen in such a way that its roots are exactly those of f(x) = m(f), where m(f) is the minimum of f on Bn. Then D(f) ⩽ f. We first state different properties for the differentiation, which is shown to be a boolean algebraic operator, then solve three boolean differential equations, among which are: D(f) = θf(θ ϵ B), and the quadrature equation, D(f) = g
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
AbstractIn [1] are given two theorems related to the number of parameters of the solution of the equ...
For a function F : Fn Fn, it is defined the associated Boolean function yF in 2n variables as follow...
AbstractIn this paper, we define two differentials D(f) and Δ(f) for a boolean polynomial f, with n ...
The Boolean Differential Calculus (BDC) significantly extends the Boolean Algebra because not only B...
The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Bo...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
AbstractThe main goal of this work is to introduce the relation between the partial boolean derivati...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
Abstract. In this paper, we rst nd a raising operator and a lowering operator for multiple Bessel po...
Consider two differential operators L1 = � aid i and L2 = � bjd j with coefficients in a different...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
AbstractThe main goal of this work is to introduce the relation between the partial boolean derivati...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
AbstractIn [1] are given two theorems related to the number of parameters of the solution of the equ...
For a function F : Fn Fn, it is defined the associated Boolean function yF in 2n variables as follow...
AbstractIn this paper, we define two differentials D(f) and Δ(f) for a boolean polynomial f, with n ...
The Boolean Differential Calculus (BDC) significantly extends the Boolean Algebra because not only B...
The Boolean Differential Calculus (BDC) is a very powerful theory that extends the structure of a Bo...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
AbstractThe main goal of this work is to introduce the relation between the partial boolean derivati...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
summary:We consider four combinatorial interpretations for the algebra of Boolean differential opera...
Abstract. In this paper, we rst nd a raising operator and a lowering operator for multiple Bessel po...
Consider two differential operators L1 = � aid i and L2 = � bjd j with coefficients in a different...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
AbstractFor any univariate polynomial with coefficients in a differential field of characteristic ze...
AbstractThe main goal of this work is to introduce the relation between the partial boolean derivati...
In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P...
AbstractIn [1] are given two theorems related to the number of parameters of the solution of the equ...
For a function F : Fn Fn, it is defined the associated Boolean function yF in 2n variables as follow...
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