scholarly journals RP-179: Formulation of Solutions of Standard Bi-Quadratic Congruence Modulo a POSITIVE INTEGER MULTIPLE to nth Power of Four

2021 ◽  
Vol 9 (VII) ◽  
pp. 2598-2601
Author(s):  
Prof. B. M. Roy
Keyword(s):  
Positive Integer ◽  
Integer Multiple ◽  
Composite Modulus ◽  
First Case ◽  
Congruence Modulo ◽  
Quadratic Congruence ◽  
First Time

In this paper, the author has formulated the solutions of the standard bi-quadratic congruence of an even composite modulus modulo a positive integer multiple to nth power of four. First time a formula is established for the solutions. No literature is available for the current congruence. The author analysed the formulation of solutions in two different cases. In the first case of analysis, the congruence has the formulation which gives exactly eight incongruence solutions while in the second case of the analysis, the congruence has a different formulation of solutions and gives thirty-two incongruent solutions. A very simple and easy formulation to find all the solutions is presented here. Formulation is the merit of the paper.

scholarly journals RP-181: Formulation of Standard Quadratic Congruence of Even Composite Modulus modulo an Even Prime Raised to the Power n

2021 ◽  
Vol 9 (8) ◽  
pp. 3064-3069
Author(s):  
Prof B M Roy
Keyword(s):  
Number Theory ◽  
Positive Integer ◽  
Complete Formulation ◽  
Composite Modulus ◽  
Quadratic Congruence ◽  
Keywords Composite

Abstract: The paper presented here, is a standard quadratic congruence of composite modulus, studied rigorously and found the formulation incomplete. It was partially formulated by the earlier mathematicians. The present authors realised that the earlier formulation need a completion and a reformulation of the solutions is done along with two more results. The author considered the problem for reformulation, studied and reformulated the solutions completely. A partial formulation is found in a books of Number Theory by Zuckerman at el. There the formulation is only for an odd positive integer but nothing is said about even positive integer. The authors have provided a complete formulation of the said quadratic congruence and presented here. Keywords: Composite Modulus, Quadratic Congruence, Reformulation.

scholarly journals First case report of acute cholangitis secondary to Cronobacter sakazakii

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Syeda Sahra ◽  
Abdullah Jahangir ◽  
Neville Mobarakai ◽  
Allison Glaser ◽  
Ahmad Jahangir ◽  
...  
Keyword(s):  
Acute Cholangitis ◽  
Tube Placement ◽  
Cronobacter Sakazakii ◽  
First Case ◽  
Shunt Procedure ◽  
Intrahepatic Portosystemic Shunt ◽  
History Of ◽  
Cholecystostomy Tube ◽  
Percutaneous Cholecystostomy Tube ◽  
First Time

Abstract Introduction Cronobacter sakazakii is an opportunistic Gram-negative, rod-shaped bacterium which may be a causative agent of meningitis in premature infants and enterocolitis and bacteremia in neonates and adults. While there have been multiple cases of C. sakazakii infections, there have been no acute cholangitis cases reported in humans. Case presentation An 81-year-old male with a past medical history of basal cell carcinoma, alcoholic liver cirrhosis, transjugular intrahepatic portosystemic shunt procedure, complicated by staphylococcus bacteremia, pituitary tumor, glaucoma, and hypothyroidism presented to the emergency room with the complaint of diffuse and generalized 10/10 abdominal pain of 1 day’s duration. There was a concern for pancreatitis, acute cholangitis, and possible cholecystitis, and the patient underwent a percutaneous cholecystostomy tube placement. Blood cultures from admission and biliary fluid cultures both grew C. sakazakii. The patient was treated with a carbapenem and clinically improved. Conclusions The case study described a patient with multiple medical comorbidities that presented with C. sakazakii bacteremia and cholangitis. While this bacterium has been implicated in other infections, we believe this is the first time the bacteria is being documented to have caused acute cholangitis.

Optimization of thermal conductivity in composites loaded with the solid-solid phase-change materials

2018 ◽  
Vol 25 (6) ◽  
pp. 1157-1165
Author(s):  
Taoufik Mnasri ◽  
Adel Abbessi ◽  
Rached Ben Younes ◽  
Atef Mazioud
Keyword(s):  
Thermal Conductivity ◽  
Phase Change ◽  
Phase Change Materials ◽  
Solid Phase ◽  
Spherical Inclusions ◽  
First Case ◽  
The Matrix ◽  
Composite Conductivity ◽  
First Time

AbstractThis work focuses on identifying the thermal conductivity of composites loaded with phase-change materials (PCMs). Three configurations are studied: (1) the PCMs are divided into identical spherical inclusions arranged in one plane, (2) the PCMs are inserted into the matrix as a plate on the level of the same plane of arrangement, and (3) the PCMs are divided into identical spherical inclusions arranged periodically in the whole matrix. The percentage PCM/matrix is fixed for all cases. A comparison among the various situations is made for the first time, thus providing a new idea on how to insert PCMs into composite matrices. The results show that the composite conductivity is the most important consideration in the first case, precisely when the arrangement plane is parallel with the flux and diagonal to the entry face. In the present work, we are interested in exploring the solid-solid PCMs. The PCM polyurethane and a wood matrix are particularly studied.

scholarly journals LITOS – a new balloon-borne instrument for fine-scale turbulence soundings in the stratosphere

2011 ◽  
Vol 4 (1) ◽  
pp. 55-66 ◽  
Author(s):  
A. Theuerkauf ◽  
M. Gerding ◽  
F.-J. Lübken
Keyword(s):  
High Reliability ◽  
Sampling Rate ◽  
Atmospheric Physics ◽  
Turbulent Layer ◽  
First Case ◽  
Radiosonde Station ◽  
Wind Measurements ◽  
Scale Turbulence ◽  
Constant Temperature Anemometer ◽  
First Time

Abstract. We have developed a new compact balloon payload called LITOS (Leibniz-Institute Turbulence Observations in the Stratosphere) for high resolution wind turbulence soundings in the stratosphere up to 35 km altitude. The wind measurements are performed using a constant temperature anemometer (CTA) with a vertical resolution of ~2.5 mm, i.e. 2 kHz sampling rate at 5 m/s ascent speed. Thereby, for the first time, it is possible to study the entire turbulence spectrum down to the viscous subrange in the stratosphere. Including telemetry, housekeeping, batteries and recovery unit, the payload weighs less than 5 kg and can be launched from any radiosonde station. Since autumn 2007, LITOS has been successfully launched several times from the Leibniz-Institute of Atmospheric Physics (IAP) in Kühlungsborn, Germany (54° N, 12° E). Two additional soundings were carried out in 2008 and 2009 in Kiruna, Sweden (67° N, 21° E) as part of the BEXUS program (Balloon-borne EXperiments for University Students). We describe here the basic principle of CTA measurements and prove the validity of this method in the stratosphere. A first case study allows a clear distinction between non-turbulent regions and a turbulent layer with a thickness of some tens of meters. Since our measurements cover the transition between the inertial and viscous subrange, energy dissipation rates can be calculated with high reliability.

The Catholic and Jewish Court: Explaining the Absence of Protestants on the Nation's Highest Judicial Body

2012 ◽  
Vol 27 (2) ◽  
pp. 359-396
Author(s):  
Zachary Baron Shemtob
Keyword(s):  
United States ◽  
United States Supreme Court ◽  
The United States ◽  
Bill Clinton ◽  
Prima Facie ◽  
United States Supreme ◽  
Judicial Appointments ◽  
First Case ◽  
First Time ◽  
Roman Catholics

Following the 2006 retirement of Sandra Day O'Connor and the confirmation of Samuel Alito to succeed her, Roman Catholics formed a majority on the United States Supreme Court for the first time in this institution's 210-year history. This Catholic majority was further strengthened by the appointment of Sonia Sotomayor in 2009. Perhaps even more remarkably, by the time of Elena Kagan's first case in October of 2010, not a single Protestant sat on the nation's highest judicial body.By way of comparison, in 1960 the Court consisted of seven Protestants, one Catholic and one Jew; in 1985, eight Protestants and one Catholic sat on the Court. This phenomenon is further reflected in judicial appointments. Since 1985, only one Protestant has been appointed,4 Justice David Souter, compared to seven Catholics and three Jews. The prima facie reason for this transformation is simple: President Reagan began the Protestant erosion by appointing two Catholics; George H.W. Bush followed by appointing a Catholic; and Bill Clinton, George W. Bush, and Barack Obama chose only Jewish and Catholic nominees. The deeper reasons, which are considerably more complex, are the focus of this article.

scholarly journals Sociodemography and Clinical Profile of COVID 19 Positive Physicians at a Tertiary Level Hospital, Dhaka

2020 ◽  
pp. 56-60
Author(s):  
Mohammad Rafiqul Islam ◽  
Khondaker Abul Bashar ◽  
Shariful Matin ◽  
Tahmid Tanveer ◽  
Atiqur Rahman ◽  
...  
Keyword(s):  
College Hospital ◽  
Personal Protection Equipment ◽  
Medicine Department ◽  
Medical College ◽  
First Case ◽  
Care Workers ◽  
High Infection ◽  
Epidemiological Characteristics ◽  
First Time ◽  
Body Ache

Introduction: On 11th March, 2020 COVID19 was declared as a pandemic and it currently involves 210 countries worldwide. Bangladesh declared its first case on 8th March 2020. Currently, the highest case detection of COVID is in the Dhaka district. Due to a lack of quality PPE (personal protection equipment) and proper knowledge of donning, doffing and transmission dynamics of COVID 19 thought to be high infection rate among physicians. Material and Methods: A pretested questionnaire was set and distributed among COVID 19 infected physicians working at Shaheed Suhrawardy Medical College Hospital through internet to know about the clinical and epidemiological characteristics. Results: 65.3% of the respondents were male and had a mean age were 35.7 years. Among all the respondents, the highest number of physicians involved were from medicine department (26.9%). Lethargy, body ache and fever were observed in 57.69%, 50% and 30.7% patients respectively. Among 52 infected physicians, first time RT-PCR for COVID 19 yield 78.8% positive results. Prophylactic dose of hydroxychloroquine taken by 15.3% patients before being infected with COVID19. Conclusion: Health care workers are getting infected in a alarming number but fortunately at Shaheed Suhrawardy Medical college all the cases were in mild form. J Bangladesh Coll Phys Surg 2020; 38(0): 56-60

A New End-title in the Herculaneum Papyri and the First Case of a Preserved subscriptio in One of the Books Assigned to Philodemus’ Systematic Arrangement of the Philosophers (PHerc. 327)

Mnemosyne ◽  
2019 ◽  
Vol 72 (3) ◽  
pp. 437-458 ◽  
Author(s):  
Graziano Ranocchia
Keyword(s):  
Greek Literature ◽  
First Case ◽  
History Of ◽  
Internal Arrangement ◽  
First Time

AbstractPhilodemus’ Systematic Arrangement of the Philosophers is witnessed only once in Greek literature (D.L. 10.3). This notwithstanding, several Herculaneum papyri have been assigned to it on various grounds. However, these assignments rest on varying degrees of probability, not least because the name of the author and the title of the work do not survive in any of these books. PHerc. 327, which hands down the so-called [History of the Eleatic and the Atomistic Schools], represents the first such case. I was able to detect its end-title for the first time and to read the name of its author, who is confirmed to be Philodemus. This increases the probability that also other three books which have historically been assigned to this treatise, and whose hands show a close likeness to each other and to PHerc. 327, effectively belong to it, thereby reinforcing the current communis opinio about its internal arrangement.

Severe Pre-Eclampsia in Multiparous Women: Indication of an Environmental Triggering Agent?

1987 ◽  
Vol 32 (1) ◽  
pp. 8-10 ◽  
Author(s):  
D.C. Kilpatrick ◽  
E.C. Jazwinska ◽  
W.A. Liston ◽  
G.E. Smart
Keyword(s):  
Laboratory Data ◽  
Infectious Agent ◽  
Clinical Syndrome ◽  
Case Histories ◽  
First Case ◽  
Multiparous Women ◽  
History Of ◽  
Maternal Immune Response ◽  
First Time ◽  
Normotensive Pregnancy

Two case histories are described with conflicting implications for the etiopathogenesis of pre-eclampsia. In both, typical proteinuric pre-eclampsia developed despite a history of previous normotensive pregnancy. In the first case, the disease was associated with a change of husband, consistent with the view that pre-eclampsia arises from an inadequate maternal immune response to paternal antigens inherited by the fetus. The second case, however, concerned a woman who developed pre-eclampsia for the first time in her third pregnancy by the same reproductive partner. We conclude that either more than one underlying cause can result in the clinical syndrome of pre-eclampsia, or that pre-eclampsia is caused by an environmental factor. The possibility that pre-eclampsia may be initiated by an infectious agent is briefly explored in the light of the clinical histories described and well-established epidemiological, clinical and laboratory data.

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