A ruptured cornual pregnancy successfully managed in a patient with a history of oophorectomy and salpingectomy: A rare case report

Cornual pregnancy is a rare condition that accounts for approximately 2-4% of ectopic pregnancies worldwide. Herein, we report an unstable case of a 32-year-old female with a history of oophorectomy, and salpingectomy who was admitted for a ruptured cornual pregnancy in the left cornu which was successfully managed by laparotomy.

Seismological constraints on the solar coronal heating function

Aims. The hot solar corona exists because of the balance between radiative and conductive cooling and some counteracting heating mechanism that remains one of the major puzzles in solar physics. Methods. The coronal thermal equilibrium is perturbed by magnetoacoustic waves, which are abundantly present in the corona, causing a misbalance between the heating and cooling rates. As a consequence of this misbalance, the wave experiences a back-reaction, either losing or gaining energy from the energy supply that heats the plasma, at timescales comparable to the wave period. Results. In particular, the plasma can be subject to wave-induced instability or over-stability, depending on the specific choice of the coronal heating function. In the unstable case, the coronal thermal equilibrium would be violently destroyed, which does not allow for the existence of long-lived plasma structures typical for the corona. Based on this, we constrained the coronal heating function using observations of slow magnetoacoustic waves in various coronal plasma structures.

Control power as a special case of protean power: thoughts on Peter Katzenstein and Lucia Seybert's Protean Power: Exploring the Uncertain and Unexpected in World Politics

Human experience of control is an illusion; all forms of power are a special, transient, and unstable case of protean power. Taking risks is governed by critical uncertainty less because of our lack of perfect knowledge than because the world is physically and socially indeterminate. Power, thus, lies not only in agents' potential to dominate each other, but also in acting in concert to turn propensities into reality. Radical uncertainty is, therefore, not necessarily bad news. Whether protean power endangers or protects humanity depends less on calculating risks than on agents practicing common humanity values. I revise Katzenstein's and Seybert's concepts accordingly and illustrate by discussing Artificial Intelligence's challenges to humanity.

On the origin of GW190425

ABSTRACT The LIGO/Virgo collaborations recently announced the detection of a binary neutron star merger, GW190425. The mass of GW190425 is significantly larger than the masses of Galactic double neutron stars known through radio astronomy. We hypothesize that GW190425 formed differently from Galactic double neutron stars, via unstable ‘case BB’ mass transfer. According to this hypothesis, the progenitor of GW190425 was a binary consisting of a neutron star and a ∼4–$5\, {\mathrm{ M}_\odot }$ helium star, which underwent common-envelope evolution. Following the supernova of the helium star, an eccentric double neutron star was formed, which merged in ${\lesssim }10\, {\rm Myr}$. The helium star progenitor may explain the unusually large mass of GW190425, while the short time to merger may explain why similar systems are not observed in radio. To test this hypothesis, we measure the eccentricity of GW190425 using publicly available LIGO/Virgo data. We constrain the eccentricity at $10\, {\rm Hz}$ to be e ≤ 0.007 with $90{{\ \rm per\ cent}}$ confidence. This provides no evidence for or against the unstable mass transfer scenario, because the binary is likely to have circularized to e ≲ 10−4 by the time it was detected. Future detectors will help to reveal the formation channel of mergers similar to GW190425 using eccentricity measurements.

A high risk unstable case of left main bifurcation lesion treated with simultaneous kissing stents as salvage procedure

Bifurcation treatment with percutaneous coronary intervention is still one challenging task especially the left main bifurcation. And it becomes still more challenging when it is done in emergency situation in a very unstable patients. There are many one-stent and two-stent approaches available to treat the bifurcation lesions but no approach has proven superior to other. Here, we present a case of a 78-year-old male diagnosed with distal left main bifurcation lesion treated with simultaneous kissing stents technique presented with acute coronary syndrome, non-ST elevation myocardial infarction with pulmonary oedema in cardiogenic shock.

A long sought result: Closed analytical solutions of the Bohr Hamiltonian with the Morse potential

Closed analytical solutions of the Morse potential for nonzero angular momenta has been an open problem for decades, solved recently by the Asymptotic Iteration Method (AIM) for solving differential equations. Closed analytical expressions have been obtained for the energy eigenvalues and B(E2) rates of the Bohr Hamiltonian in the γ-unstable case, as well as in an exactly separable rotational case with γ ≈ 0, called the exactly separable Morse (ES-M) solution. All medium mass and heavy nuclei with known β1 and γ1 bandheads have been fitted by using the two-parameter γ-unstable solution for transitional nuclei and the three-parameter ES-M for rotational ones. It is shown that bandheads and energy spacings within the bands are well reproduced for more than 50 nuclei in each case. Comparisons to the fits provided by the Davidson and Kratzer potentials, also soluble by the AIM, are made.

On the Bickel–Rosenblatt test of goodness-of-fit for the residuals of autoregressive processes

We investigate in this paper a Bickel–Rosenblatt test of goodness-of-fit for the density of the noise in an autoregressive model. Since the seminal work of Bickel and Rosenblatt, it is well-known that the integrated squared error of the Parzen–Rosenblatt density estimator, once correctly renormalized, is asymptotically Gaussian for independent and identically distributed (i.i.d.) sequences. We show that the result still holds when the statistic is built from the residuals of general stable and explosive autoregressive processes. In the univariate unstable case, we prove that the result holds when the unit root is located at − 1 whereas we give further results when the unit root is located at 1. In particular, we establish that except for some particular asymmetric kernels leading to a non-Gaussian limiting distribution and a slower convergence, the statistic has the same order of magnitude. We also study some common unstable cases, like the integrated seasonal process. Finally, we build a goodness-of-fit Bickel–Rosenblatt test for the true density of the noise together with its empirical properties on the basis of a simulation study.