Remark 1 In this text, we always work between 0 and 1 with 1/2 playing the rôle of the midpoint. A simple rescaling allows to work between −1 and 1 with 0 playing the rôle of a midpoint. • A valued relation T is said to be reflexive if T (x, x) = 1, for all x ∈ X. A valued relation T on X such that T (x, y) ∈ {0, 1}, for all x, y ∈ X, is said to be crisp. As is usual, we write x T y instead of ...

To this end, we describe an area that arises from the midpoint of the navicular-calcaneal line (MPNCL), which contains both nerve divisions in the majority of cases. We called this area the danger zone. We identified the size and location of this danger zone by dissecting a total of 50 cadaveric feet. We measured the distance from the origin of each nerve division to both the navicular tuberosi...

This paper proposes a new technique to solve n-th order linear uncertain but bounded (interval) differential equations with interval initial conditions using the interval midpoint. First, the interval differential equation is solved in terms of the interval midpoint. This solution is then used to find the solution of the original interval differential equation. The method is discussed by consid...

The present paper includes the local and semilocal convergence analysis of a fourth-order method based on quadrature formula in Banach spaces. weaker hypotheses used are only first Fréchet derivative. new approach provides residual errors, number iterations, radii, expected order convergence, estimates uniqueness solution. Such not provided approaches using Taylor expansions involving higher-or...