Friable Integers: An Overview

Probability That the K-gcd of Products of Positive Integers Is B-friable

In 1849, Dirichlet [5] proved that the probability that two positive integers are relatively prime is 1/ζ(2). Later, it was generalized into the case that positive integers has no nontrivial kth power common divisor. In this paper, we further generalize this result: the probability that the gcd of m products of n positive integers is B-friable is ∏ p>B [ 1− { 1− ( 1− 1 p )n}m] for m ≥ 2. We sho...

An Overview of Candiduria

Candida microorganisms frequently exist as saprophytes on the external genitalia or urethra, however, yeast in measurable quantities are found in <1% of clean voided urine specimens. The overall frequency of Candida infections in hospitals has increased by 200% to 300% in the last decade, such that in a general hospital 5% of urine cultures may yield Candida species, and in tertiary-care center...

An Overview on Tuberculosis

بیماری سل یک عفونت باکتریایی مزمن است که توسط مایکوباکتریوم توبرکلوزیس ایجاد شده و توسط تشکیل گرانولوما در بافتهای آلوده مشخص می گردد. شایعترین مکان بروز بیماری، ریه ها می باشند. هر چند که سایر ارگانها نیز ممکن است، درگیر بیماری شوند. سل یک بیماری جدید و ناشناخته نیست. این بیماری در گذشته به عنوان کشنده شماره یک در ایالات متحده محسوب می شد و اکنون نیز به عنوان یک عامل مهم مرگ در کل جهان مطرح است.

Human brucellosis: An overview

An Overview of Novel Anticoagulants

Arterial and venous thromboembolism is one of the most common causes of death worldwide. For almost seventy years, heparin, low molecular weight heparin, and vitamin K antagonists have been widely used in the prevention and treatment of thromboembolic disorders. However, many of the limitations of these traditional anticoagulants have led to the search for and attempts to introduce better drug ...