The generalized inverse Gaussian distribution converges in law to the inverse gamma or the gamma distribution under certain conditions on the parameters. It is the same for the Kummer’s distribution to the gamma or beta distribution. We provide explicit upper bounds for the total variation distance between such generalized inverse Gaussian distribution and its gamma or inverse gamma limit laws, on the one hand, and between Kummer’s distribution and its gamma or beta limit laws on the other hand.

In this article, we continue our research on quasi-ordered residuated systems introduced in 2018 by S. Bonzio and I. Chajda and various types of filters in them. Some fundamental properties of strong quasi-ordered residuated systems are given in this article. In addition, the concepts of prime and irreducible filters in such systems are introduced and analyzed.

Marriage is the living together of two persons as husband and wife. Separation and Divorce are the frontier challenges facing the existence of stable family system. In this paper, we construct an epidemiological model of divorce epidemic using standard incidence function as force of marital disunity. The study examines qualitatively that the two equilibra (divorce-free and endemic equilibrium point) are globally stable by Lyapunov functions. Numerical results reveal that, anti-divorce protocols and reconciliation can jointly stabilize marriages, and Married cases that survive divorce epidemic in 30 years period of marriage (twice the survival period of separation) cannot break again.

Each $p$-ring class field $K_f$ modulo a $p$-admissible conductor $f$ over a quadratic base field $K$ with $p$-ring class rank ${\varrho }_f$ mod $f$ is classified according to Galois cohomology and differential principal factorization type of all members of its associated heterogeneous multiplet $\mathbf{M}(K_f)=[(N_{c,i}{)}_{1\le i\le m(c)}{]}_{c\mid f}$ of dihedral fields $N_{c,i}$ with various conductors $c\mid f$ having $p$-multiplicities $m(c)$ over $K$ such that $\sum _{c\mid f}m(c)=\frac{p^{{\varrho }_f}-1}{p-1}$. The advanced viewpoint of classifying the entire collection $\mathbf{M}(K_f)$, instead of its individual members separately, admits considerably deeper insight into the class field theoretic structure of ring class fields. The actual construction of the multiplet $\mathbf{M}(K_f)$ is enabled by exploiting the routines for abelian extensions in the computational algebra system Magma.

The aim of this paper is to assess Serum Adenosine Deaminase (ADA), Erythrocyte Sedimentation Rate (ESR) and C-Reactive Protein (CRP) levels in patients with Psoriasis. Sixty- four patients with psoriasis were divided into three groups (mild, moderate, and severe) based on PASI scores. PASI score <10 defined psoriasis as mild, between 10 and 20 as moderate, and >20 as severe. The hsCRP was assayed by an enzyme-linked immunosorbent assay BIOS kit. ADA was measured through kinetic method. ESR was calculated using Westergren method. Group I patients had 8 males (mild), 9 males (moderate) and 10 males (severe) and group II had 20 males. There were 12 females (mild), 14 females (moderate) and 11 females (severe) and group II had 30 females. A non- significant difference was observed (P> 0.05). The mean hSCRP level in group I patients was 54.2 ng/ml and in group II was 19.6 ng/ml. The mean ADA level in group I patients was 22.5 U/L and in group II was 8.1 U/L. The mean ESR was 28.4 mm/h in group I and 13.2 mm/h in group II. A significant difference was observed (P< 0.05). This study demonstrated higher hSCRP, ESR and ADA level among patients suffering from psoriasis compared to healthy control.

The aim of this paper is to diagnose pre-eclampsia with spot urine albumin-creatinine ratio (ACR). Our study comprised of one hundred ten pregnancies within 20-28 weeks of gestation. Spot mid- stream urine sample was collected from all pregnant females and urine ACR estimation was done using immunoturbidimetric microalbumin method and modified Jaffe’s method for creatinine estimation. We found sensitivity of 90.4%, specificity of 98%, PPV of 91.6% and NPV of 97.2%. Systolic blood pressure in unaffected subjects was 110.2 mm Hg and in pre- eclamplsia was 152.6 mm Hg. Diastolic blood pressure in unaffected subjects was 78.4 mm Hg and in pre- eclamplsia was 96.8 mm Hg. In unaffected subjects, 4.5% showed positive test and 95.5% showed negative test. In pre- eclampsia subjects, 87.2% showed positive test and 12.8% showed negative test. Mann Whitney U test showed significant difference between two (Significant, P< 0.05). It has been observed that the role of urine albumin creatinine ratio in detection of Pre-eclampsia is evident. A higher sensitivity and specificity revealed its usefulness in early detection.

Aim: To assess various risk factors for development of CHD among patients. \Methodology: Seventy- eight patients of either sex were included. Various parameters such as age, gender, cardiac markers, family history, history of alcohol intake and smoking was recorded. Results: There were 32 patients >45 years of age and 46 below 45 years of age. Out of 78 patients, females were 27 and males were 51. It was found that 26 had primary education, 37 had secondary and 15 had higher education. 38 were employed and 40 were non- employed. 42 were married and 36 were unmarried. Family history was positive in 51 and negative in 26. 20 had hypertension, 36 had CHD and 22 had both HTN & CHD. 45 had habit of smoking, 47 had alcoholism and 40 had no physical activity. A significant difference was observed (P< 0.05). Conclusion: Common risk factors for CHD was obesity, hyperglycaemia, family history, high LDL- C, ALT level, smoking, alcoholism and lack of physical activity.

Aim: To study 82 cases of nasal polyposis undergoing functional endoscopic sinus surgery (FESS). Methodology: Our study comprised of 82 patients presenting with the symptoms of nasal polyposis (38 male patient, 44 female patients). All managed with FESS. Parameters assessed were NOSE score and nasal endoscopy score pre- operatively which was compared with post- operative score at 6 months and 12 months. Results: We found pre- operative NOSE score was $65.2\pm 5.7,$ at 6 months was $28.4\pm 4.1$ and at 12 months post- operatively was $24.2\pm 3.6.$ We found pre- operative nasal endoscopic score was 6.02, 6 months score was 3.1 and 12 months score was 2.5. Conclusion: Patients nasal endoscopy score and NOSE symptom score was improved after treatment. Functional endoscopic sinus surgery is treatment of choice in patients with chronic rhinosinusitis with nasal polyps.

In this decade there will an unprecedented growth of generated data, computations, instructions, and operations. This growth may not compromise clean air, clean water and a sustainable energy and material usage, but rather facilitate these prerequisites for flora and fauna. There are many indications (expected trends and estimates) showing that the Internet Sector will be able to provide solutions to other Sectors such as Buildings, Transportation and Industry which will help reduce the total global consumption of energy and materials. For instance, products are replaced by virtual services e.g. by using e-readers instead of paperbacks, and transportation is avoided by online shopping or Internet meetings. This is more resource and energy efficient than before and entire sectors, like transport, industry, and agriculture can be optimized. Internet may foster new sustainable lifestyles which can lower the affluence despite certain rebound effects. The underlying idea is that e.g. human-related global greenhouse gas (GHG) supply can be significantly halted if existing and developing ICT Solutions are used in other sectors (and in the Internet infrastructure itself) to cause a handprint. Such solutions include products-sold-as-services, smart Grid and smart metering. Compared to earlier approaches, the 2020 transformative effects on smart work, land use and smart circularity are included in the discussion, as well as consequential LCA modelling. Internet’s handprint will be 4-7 times its footprint in 2030. The handprint is highly dependent e.g. on how large share of the buildings can adopt smart metering and the product to service rate. Internet will in itself use intelligent ICT solutions as well as neuromorphic, reversible and superconducting computing as well as nanophotonics to mitigate its own material and energy use. However, more importantly the intelligent ICT solutions should be used in the rest of the society to reach efficiency goals. Power saving is a highly efficient strategy for cost reduction in the Internet Sector itself and beyond.

The energy of a graph is the sum of absolute values of its eigenvalues. The nullity of a graph is the algebraic multiplicity of number zero in its spectrum. Empirical facts indicate that graph energy decreases with increasing nullity, but proving this property is difficult. In this paper, a method is elaborated by means of which the effect of nullity on graph energy can be quantitatively estimated.