The density of ramified primes in semisimple p-adic Galois representations

We prove that the density of ramified primes in semisimple p-adic representations of Galois groups of number fields is 0. Ravi Ramakrishna has produced examples of such representations that are infinitely ramified

On Heegner points of large conductors

Given a parametrisation of an elliptic curve over Q by a Shimura curve, we show that the images of almost all Heegner points are of infinite order. For parametrisations of elliptic curves by modular curves this was proven earlier by Nekovar and Schappacher by a different method

Practical IBC Using Hybrid-Mode Problems: Factoring and Discrete Logarithm

Shamir proposed the concept of the ID-based cryptosystem (IBC) in 1984. Instead of generating and publishing a public key for each user, the ID-based scheme permits each user to choose his name or network address as his public key. This is advantageous to public-key cryptosystems because the public-key verification is so easy and direct. In such a way, a large public key file is not required. Since new cryptographic schemes always face security challenges and many integer factorization problem and discrete logarithm based cryptographic systems have been deployed, therefore, the purpose of this paper is to design practical IBC using hybrid mode problems factoring and discrete logarithm. We consider the security against a conspiracy of some entities in the proposed system and show the possibility of establishing a more secure system

Discrete Logarithm and Integer Factorization Using ID-based Encryption

Shamir proposed the concept of the ID-based Encryption (IBE) in [1]. Instead of generating and publishing a public key for each user, the ID-based scheme permits each user to choose his name or network address as his public key. This is advantageous to public-key cryptosystems because the public-key verification is so easy and direct. In such a way, a large public key file is not required. Since new cryptographic schemes always face security challenges and many integer factorization and discrete logarithm based cryptographic systems have been deployed, therefore, the purpose of this paper is to design a transformation process that can transfer the entire discrete logarithm and integer factorization based cryptosystems into the ID-based systems rather than re-invent a new system. We consider the security against a conspiracy of some entities in the proposed system and show the possibility of establishing a more secure system

Study of length of umbilical cord and fetal outcome: a study of 1000 deliveries

Background: Human embryo develops inside the body of the mother. One of the important part of the fetoplacental unit is the umbilical cord. The umbilical cord is the lifeline of the fetus. Objective of present study was to investigate the correlation of umbilical cord length with fetal parameters like APGAR score, sex, weight, and length, and its effect on labor.Methods: This prospective study conducted in the Department of OBG of VIMS, Bellary, from 1st February 2016 to 31st January 2017. The 1000 pregnant women of >37 weeks were studied following delivery for length of umbilical cord, any loop around neck, trunk, shoulder and number of loops of cord; knots of cord etc. Fetal parameters recorded were sex, weight, and length of the newborn and APGAR score at 1 and 5 min.Results: Cord length varied from 22 to 126 cm. The mean cord length was 66 cm (±10 cm). Maximum cases have cord length of 61and 70 cm. Lower 5th percentile and upper 5th percentile considered as short and long cord. Short-cord group was associated with significantly higher (p<0.05) incidence of LSCS cases. The incidence of all types of cord complications increases as the cord length increases (p<0.001). Nuchal cords had higher mean cord length and as the number of loops in a nuchal cord increases to two or more loops, the operative interference and fetal heart abnormalities increases. Fetal heart rate abnormalities and birth asphyxia increase with extremes of cord length (p<0.001).Conclusions: Short and long cords are associated with increased incidence of cord complications, operative interference, intrapartum complications, increased fetal heart rate abnormalities, and birth asphyxia. But cord length did not vary according to the weight, length, and sex of the baby

Surgical management of vaginal agenesis using a modified Mc Indoe’s technique: VIMS experience

Background: Mullerian agenesis is a challenge to reconstructive surgeons. In order to create a new vagina that mimic the normal one in size, lining and appearance, multiple techniques have been designed; among these techniques Mc Indoe’s vaginoplasty represents the simplest one with good results. Mc Indoe’s operation which involves the creation of a space between bladder and rectum, insertion of a mould covered with split-thickness skin graft into that neo-vaginal space, and use of postoperative vaginal mould for dilation and to avoid stenosis. However, many modifications have been introduced in time in an attempt to increase the success rates. The purpose of vaginal agencies treatment is to create an adequate passage for penetration during sexual intercourse.Methods: Between Jan 2010 to June 2017, ten patients with vaginal agenesis were admitted to Dept of Obstetrics and Gynaecology, VIMS Ballari for vaginal reconstruction. All cases underwent a modified Mc Indoe’s technique, and follow up was done for one year.Results: All ten cases of vaginal agenesis underwent vaginal reconstruction by modified Mc Indoe's technique. Post-operative vaginal length varied from 5 to 7 cm in patients who used mould regularly. Successful skin graft take was achieved in 6 cases. one case of perforation of rectum and one case of vaginal stricture was noted.Conclusions: To optimize sexual comfort, the clinical management of women with vaginal agenesis must be multidisciplinary and individually tailored. Our findings suggest that the modified Mc Indoe’s technique is a simple, effective procedure for the treatment of vaginal agenesis, but proper mould usage after surgery remains the cornerstone of the treatment

Underground Corrosion by Microorganisms Part II : Role of Anaerobic Sulphate Reducing Bacteria-Desulfotomaculum SP

During the course of studies on the corrosion causing soil microflora from different geoclimatic regions of India, several strains of anaerobic sulphate reducing bacteria belonging to genus Desulfotomaculum were isolated and characterised. Their corrosive action on mild steel, galvanised iron and structural aluminium, the three main metals of construction of underground structures, have been studied under laboratory conditions

Recurrent madura foot without draining sinuses: a case report

Madura foot or mycetoma is a chronic granulomatous disease characterized by localized infection of subcutaneous tissues by actinomycetes or fungi. The recurrence rate for the disease if treated inadequately is very high. Recurrence presents with swelling and multiple discharging sinuses. This is an unusual presentation of the disease without discharging sinuses which is probable the first report of this kind in the literature. A 34 year old, male, presented with the painless, progressive swellings over right foot since 4 years. No sinuses or discharge could be found on skin surface. The postoperative recurrence rate is very high, and this can be local or distant at the regional lymph nodes. This could be due to the disease biology and behavior or inadequate surgical excision. Usually it presents with multiple sinus tracts, and granule. We reported a case with classical absence of sinus tracts in recurrent actinomycosis

Anti-inflammatory Activity of Matricaria recutita L. against Acute and Chronic Inflammatory Models

Chamomile (Matricaria recutita L.) is most popular used medicinal plant and extensively consumed as a tea and food. We investigated the effects of Matricaria recutita L. (MR) in acute and chronic inflammatory conditions. The anti-inflammatory activity of Matricaria recutita was studied against carrageenan induced hind paw, arachidonic acid, acetic acid and complete Freund’s adjuvant (CFA)-induced arthritis in rats. The methanol extract of Matricaria recutita was administered at the dose of 100, 200 and 300  mg/kg body weight. In CFA-induced model ESR, vascular permeability, histamine release from blood and biochemical parameters were carried out. Chamomile methanol extract showed dose dependent significant   (P<0.001) anti-inflammatory activity by inhibition of rat paw oedema  against carrageenan and arachidonic acid and inhibition of writhing induced by acetic acid. The significant anti-arthritic activity was observed with  administration of Chamomile extract in the Freund’s adjuvant induced model of arthritis. Chronic treatment of extract of Chamomile showed  significant decrease the development of arthritis and reduced ESR  observed. It also reduced the histamine release from blood and vascular permeability at joint. The methanol extract of Matricaria recutita possess potential anti-inflammatory activity against acute and chronic inflammatory model