Complex Solitary Waves and Soliton Trains in KdV and mKdV Equations

We demonstrate the existence of complex solitary wave and periodic solutions of the Kortweg de-vries (KdV) and modified Kortweg de-Vries (mKdV) equations. The solutions of the KdV (mKdV) equation appear in complex-conjugate pairs and are even (odd) under the simultaneous actions of parity ($\cal{P}$) and time-reversal ($\cal{T}$) operations. The corresponding localized solitons are hydrodynamic analogs of Bloch soliton in magnetic system, with asymptotically vanishing intensity. The $\cal{PT}$-odd complex soliton solution is shown to be iso-spectrally connected to the fundamental $sech^2$ solution through supersymmetry

Beneficial impacts of goat milk on the nutritional status and general well-being of human beings: Anecdotal evidence

Goats provide an essential food supply in the form of milk and meat. Goat milk has distinct qualities, but it shares many similarities with human and bovine milk regarding its nutritional and therapeutic benefits. Because of their different compositions, goat and cow milk products could have different tastes, nutrients, and medicinal effects. Modification in composition aid of goat milk determining the viability of goat milk processing methods. Comparatively, goat's milk has higher calcium, magnesium, and phosphorus levels than cow's or human milk but lower vitamin D, B12, and folate levels. Goat milk is safe and healthy for infants, the old, and healing ailments. Capric, caprylic, and capric acid are three fatty acids that have shown promise as potential treatments for various medical issues. Considering the benefits and drawbacks of goat milk over cow milk is essential; goat milk is more digestible, has unique alkalinity, has a better buffering capacity, and has certain medicinal benefits. Acidifying goat milk shrinks fat globules and makes protein friable (with less αs1-casein and more αs2-casein). Goat milk treats malabsorption illnesses because it has more short- and medium-chain triglycerides that give developing children energy. In wealthy countries, goat milk and its products—yoghurt, cheeses, and powdered goods—are popular with connoisseurs and persons with allergies and gastrointestinal issues who need alternative dairy products. A food product category containing fermented goat milk with live probiotic microbes appears promising nutritionally and medicinally. This article presents anecdotal evidence of the therapeutic effects of consuming goat milk for human health and its nutritional value

Factors Associated with Revision Surgery after Internal Fixation of Hip Fractures

Background: Femoral neck fractures are associated with high rates of revision surgery after management with internal fixation. Using data from the Fixation using Alternative Implants for the Treatment of Hip fractures (FAITH) trial evaluating methods of internal fixation in patients with femoral neck fractures, we investigated associations between baseline and surgical factors and the need for revision surgery to promote healing, relieve pain, treat infection or improve function over 24 months postsurgery. Additionally, we investigated factors associated with (1) hardware removal and (2) implant exchange from cancellous screws (CS) or sliding hip screw (SHS) to total hip arthroplasty, hemiarthroplasty, or another internal fixation device. Methods: We identified 15 potential factors a priori that may be associated with revision surgery, 7 with hardware removal, and 14 with implant exchange. We used multivariable Cox proportional hazards analyses in our investigation. Results: Factors associated with increased risk of revision surgery included: female sex, [hazard ratio (HR) 1.79, 95% confidence interval (CI) 1.25-2.50; P = 0.001], higher body mass index (fo

Parturient with double outlet right ventricle without pulmonary stenosis: Perioperative management

Double outlet right ventricle (DORV) is a rare cardiac condition in which the heart demonstrates single ventricle physiology. The management of these patients depends upon the presence or absence of pulmonary stenosis. They can present as congestive cardia failure on one end and as cyanotic disease on the other extreme. We present a case of DORV without pulmonary stenosis for cesarean section and highlight specific management issues in these patients

Management of impacted all canines with surgical exposure and alignment by orthodontic treatment

Canine impaction is a dental problem very often encountered in orthodontic practice. After the third molar, the canine is the most frequently impacted tooth. Bringing the impacted canine into a normal position is important for functional occlusion and the final esthetics of the orthodontic treatment. This article illustrates a peculiar case, in which all four permanent canines maintained their unerupted status at age of 16 years. All four impacted canines were surgically exposed, attachment bonded, traction given with K-9 spring and ideally positioned with fixed orthodontic mechanotherapy

Orchestra: Unsupervised Federated Learning via Globally Consistent Clustering

Federated learning is generally used in tasks where labels are readily available (e.g., next word prediction). Relaxing this constraint requires design of unsupervised learning techniques that can support desirable properties for federated training: robustness to statistical/systems heterogeneity, scalability with number of participants, and communication efficiency. Prior work on this topic has focused on directly extending centralized self-supervised learning techniques, which are not designed to have the properties listed above. To address this situation, we propose Orchestra, a novel unsupervised federated learning technique that exploits the federation's hierarchy to orchestrate a distributed clustering task and enforce a globally consistent partitioning of clients' data into discriminable clusters. We show the algorithmic pipeline in Orchestra guarantees good generalization performance under a linear probe, allowing it to outperform alternative techniques in a broad range of conditions, including variation in heterogeneity, number of clients, participation ratio, and local epochs.Comment: Camera-ready ICML, 202

Development of low energy radioactive ion beam facility at NSC

20-24An in-flight radioactive ion beam (RIB) facility has been developed at Nuclear Science Centre (NSC), using the recoil mass spectrometer HIRA. The spectrometer separates the RIB species produced in the inverse reactions like (p.n), (d.n ), (3He,n) etc and transport them to the secondary target position. High purity 7Be of moderate intensity has been extracted with the set-up and used in experiment