The m-consecutive-k-out-of-n: F linear and circular system consists of n sequentially connected components; the components are ordered on a line or a circle; it fails if there are at least m non-overlapping runs of consecutive-k failed components. This paper proposes the reliability and failure probability functions for both linearly and circularly m-consecutive-k-out-of-n: F systems. More precisely, the failure states of the system components are separated into two collections (the working and the failure collections); where each one is defined as a collection of finite mutual disjoint classes of the system states. Illustrative example is provided.

A simple, rapid spectrophotometric method has been established for the determination of chlorpromazine hydrochloride (CPZ) in its pure form and in a tablet formulations. The  suggested  method  is  based  on  the  oxidative coupling  reaction  with4-nitroainlline using KIO₃ in acidic solution to produce a violet colored product with maximum absorption at λ=526 nm.The  analytical data  obtained  throughout  this  study  could  be  summarid  as  follows:  1ml of 1M HCl (pH=2.2), 1 ml  of  4-nitroanilline (1x10^-2M), and 1.5ml  of (1x10^-2)KIO₃ per 25 ml reaction medium. The order of a

Dipeptidyl peptidase-4 DPP-4 inhibition has remained one of the most established ways in treating type 2 diabetes mellitus. Therefore, the development of improved DPP-4 inhibiters is consideredan essential strategy in the design of antidiabetic drugs. In the present study, a structure-based virtual approach was considered to design and evaluate new sitagliptin analogues with improved binding stability and pharmacokinetic properties. A virtual library consisting of 15,034 different compounds was created and then screened using a hierarchical Glide docking protocol (HTVS, SP, and XP). Using integrated computational analyses, the top ranked compounds were further assessed. Based on ADMET predictions, MM-GBSA binding free energy

We demonstrate that the selective hydrogenation of acetylene depends on energy profile of the partial and full hydrogenation routes and the thermodynamic stability of adsorbed C₂H₂ in comparison to C₂H₄.