Synthesis and study liquid crystalline properties of novel Benzimidazol-8-hydroxyquinoline complexes by reaction of a-Chloro acetic acid with 3,3'-dimethylbiphenyl-4,4'-diamine in 10% aqueous sodium hydroxide to synthesized compound [I] then the later compound reacted with o-phenylenediamine in 4N Hydrochloric acid to synthesized compound N4,N4'-bis((1H-benzo[d]imidazol-2-yl)methyl)-3,3'-dimethyl-[1,1'-biphenyl]-4,4'-diamine =[II] . While the complexes [III],[IV],[V],[VI] and [VII] synthesized from reacted compound [II] , 8-hydroxyquinoline with metal(II) salts { M= Mn(II), Fe(II), Ni (II), Cu(II),and Zn(II)}. Newly synthesized compounds were characterized using melting points, FT-IR, UV-Vis spectra, and some of them 1H NMR spectroscopy. magnetic susceptibility measurements (μeff ( and conduct metric measurements. The liquid crystalline properties were studied by hot stage polarizing microscopy and differential scanning calorimetry DSC. The compounds [I],[II],[III] and [IV] showed liquid crystal behavior , while the others compounds [V] ,[VI] and [VII] did not show any mesomorphic phase . Spectral investigations suggested octahedral coordination geometrical arrangement for M (II) complexes.
In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the operator T.
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This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a third order linear time
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The interplay of species in a polluted environment is one of the most critical aspects of the ecosystem. This paper explores the dynamics of the two-species Lokta–Volterra competition model. According to the type I functional response, one species is affected by environmental pollution. Whilst the other degrades the toxin according to the type II functional response. All equilibrium points of the system are located, with their local and global stability being assessed. A numerical simulation examination is carried out to confirm the theoretical results. These results illustrate that competition and pollution can significantly change the coexistence and extinction of each species.
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This study aims to design unified electronic information system to manage students attendance in Lebanese French university/Erbil, as a system that simplifies the process of entering and counting the students absence, and generate absence reports to expel students who passed the acceptable limit of being absent, and by that we can replace the traditional way of using papers to count absence, with a complete electronically system for managing students attendance, in a way that makes the results accurate and unchangeable by the students.
In order to achieve the study's objectives, we designed an information syst
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This work is concerned with designing two types of controllers, a PID and a Fuzzy PID, to be used
for flying and stabilizing a quadcopter. The designed controllers have been tuned, tested, and
compared using two performance indices which are the Integral Square Error (ISE) and the Integral
Absolute Error (IAE), and also some response characteristics like the rise time, overshoot, settling
time, and the steady state error. To try and test the controllers, a quadcopter mathematical model has
been developed. The model concentrated on the rotational dynamics of the quadcopter, i.e. the roll,
pitch, and yaw variables. The work has been simulated with “MATLAB”. To make testing the
simulated model and the controllers m