We implement a second-order exponential integrator for semidiscretized advectiondiffusion-reaction equations, obtained by coupling exponential-like Euler and Midpoint integrators, and computing the relevant matrix exponentials by polynomial interpolation at Leja points. Numerical tests on 2D models discretized in space by Finite Differences or Finite Elements, show that the Leja-Euler-Midpoint ...

The oxidation-reduction potentials of the flavoproteins of skunk cabbage (Symplocarpus foetidus) mitochondria have been measured under anaerobic conditions by means of a combined spectrophotometric or fluorimetric-potentiometric method. Five components were resolved whose oxidation-reduction reactions corresponded to two-electron changes, as expected for flavoproteins. The midpoint potentials a...

BACKGROUND Due to early colonoscopy for some participants, interval-censored observations can be introduced into the data of a colorectal polyp prevention trial. The censoring could be dependent of risk of recurrence if the reasons of having early colonoscopy are associated with recurrence. This can complicate estimation of the recurrence rate. METHODS We propose to use midpoint imputation to...

OBJECTIVE Although the tibialis posterior is a potentially difficult muscle to locate for botulinum toxin injection because of its deep location, needle insertion is usually performed using anatomic landmarks for guidance. Accordingly, the ultrasonographic anatomy of the lower leg was investigated in hemiplegic children with spastic cerebral palsy to improve the safety and the accuracy of needl...

Methods: Participants included in this cross-sectional examination were 26 (13 females) obese volunteers (BMI ≥ 95th percentile) with a mean age of 13.6 ± 0.5 years and valid data on self-reported sleep, food intake (dietary record), physical activity and sedentary time (accelerometer), screen time (self-reported), and anthropometry (BMI). We categorized participants as “late sleepers” (midpoin...

Shoulder motions consist of a composite movement of three joints and one pseudo-joint, which together dictate the humerothoracic motion. The purpose of this work was to quantify the location of the centre of rotation (CoR) of the shoulder complex as a whole. Dynamic motion of 12 participants was recorded using optical motion tracking during coronal, scapular and sagittal plane elevation. The in...

In this paper, we first obtain prove two new identities for the quantum integrals. Then establish Trapezoid and Midpoint type inequalities integrals defined by Bermudo et al. in [3]. The study generalize some results obtained earlier works

In this article, we use quantum integrals to derive Hermite–Hadamard inequalities for preinvex functions and demonstrate their validity with mathematical examples. We the q?2-quantum integral show midpoint trapezoidal q?2-differentiable functions. Furthermore, an example that previously proved Hermite–Hadamard-type inequality via q?1-quantum is not valid functions, present its proper form. q?1-...

If we know the degrees of certainty (subjective probabilities) and in two statements and , then possible values of form an interval ! #"%$& '"( *),+". / 0 21 . As a numerical estimate, it is natural to use a midpoint of this interval; this midpoint is a mathematical expectation of over a uniform (second order) distribution on all possible probability distributions. This midpoint operation & is ...

Today’s protocol specifications only define the behaviour of principals representing communication endpoints. But in addition to endpoints, networks contain midpoints, which are machines that observe or filter traffic between endpoints. In this paper, we explain why midpoints should handle protocols differently from endpoints and thus midpoint specifications are needed. With a case study, using...