This paper introduces a novel non-classical probability distribution, termed the Logistic Map distribution, which is constructed by transforming a polynomial function derived from the second iteration of the logistic map. The logistic map a well-known discrete-time dynamical system has been extensively employed in diverse scientific domains, including population dynamics (to model bounded growth under environmental constraints), physics (to study nonlinear dynamics and deterministic chaos), and economics (to represent complex, nonlinear patterns in financial and economic time series). The proposed distribution is fully characterized by two parameters: a scale parameter and a shape parameter, with the constraint ensuring the non-negativity and integrability of the density. Within this valid parameter space, we rigorously derive and establish a comprehensive suite of statistical properties. These include the probability density function, cumulative distribution function, reliability (survival) function, and hazard (failure rate) function. Furthermore, we obtain analytical expressions for key descriptive measures such as the mode and median, as well as for higher-order characteristics including the moment generating function, factorial moment generating function, and characteristic function. The proposed distribution most closely application field in materials science specifically, the statistical modeling of particle or grain size distributions in industrial powder processing, metallurgy, and pharmaceutical manufacturing. The primary objective of this study is to formalize a new family of probability distributions grounded in the mathematical framework of dynamical systems, specifically leveraging the logistic function commonly encountered in differential and difference equations. By doing so, we bridge concepts from nonlinear dynamics and classical statistical theory. The secondary aim is to conduct a thorough investigation of the distribution’s mathematical structure and statistical behavior, thereby establishing its potential utility for modeling bounded, non-negative random phenomena in applied fields such as reliability engineering, survival analysis, and environmental statistics.
200 samples collected Adrar of patients with urinary tract infection were investigating the types of bacteria most local isolates showed high resistance to antibiotics penicillin c ??????? Amoxicillin Beracelin
Objective: To assess two kinds of extraction (aqueous and methanolic) for Calendula officials using flowers, leaves
and stems and studying their antibacterial activity against five different bacteria.
Methodology: Calendula officials were selected to carry out this study. Flowers, leaves and stems were collected from
local markets in Baghdad then dried in shade for 7 days and grinded to fine powder. Aqueous hot extracts for 2hr. at
(100c˚) and alcoholic extracts for 48 hrs at (80c˚) were performed using flowers, leaves and stems then studied
antibacterial effect against five different bacterial genuses by using well diffusion technique.
Results: This study showed that hot aqueous extracts for 2hr. to all parts of Cale
1Center of Urban and Regional Planning, University of Baghdad, Iraq.
2Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq.
E-Mails: 1kareem.h@iurp.uobaghdad.edu.iq ,dr.amerkinani@iurp.uobaghdad.edu.iq , 2ahmedj.aljanaby@uokufa.edu.iq
The digital dermatoglyphics were studied in 120 females derived from northern region of Iraq (60 Arabs and 60 Kurds). Two kinds of analyses were perfomed : Quantitative and Qualtative. The unilateral and bilateral analyses for dermal ridge counts in each digital and the overall did not reveal any significant difference when t-test was used. A high correlation coefficients were revealed in this study between homologous and adjacent digits, moreover, significant differences were revealed between Arabian and Kurdish samples in both analyses when Fisher Z transform test was used, but the significant differences in the bilateral analysis exceed the ones in the unilateral. This indicates the importance of the former analysis in detecting the vari
... Show MoreThis study focuses for improving the increase the solubility of fiber cellulose in sodium hydroxide solution in concentrations ranging from (4- 12%), from one point of view and from other point of view in (sodium hydroxide and urea) solution concentration (6% NaOH + 4% urea), under low temperature (- 15, - 20 Co) , depending on the principle of reducing the degree of polymerization for fiber cellulose, which is represented in our tests cotton linter who its represent (Whatman filter paper, Grade 1), some samples subjected to chemical pretreatment as simulation the method of decomposition of cellulosic materials by white or brown fungi that grow on trees, this method involves the use of
... Show MoreThis research paper is about thevariationin the degree of Continentality climate of the
Iraq during (40) years for a number of climate station. Using Poresof formula, it is found out
that the climate of Iraq ranges between extreme Continentality and very extreme
Continentality, and that the Continentality degree is characterized with extreme frequency
from one year to another. In certain years, the degree of climate Continentality decreases
while in other years it rises in such a way that there is no similarity in the Continental degree
from one year to another for the same station.
As for the general trend of the degree of Continentality, the last years had noticed
special variations, which are divided in to thre
Abstract Twenty Bacillus isolated were obtained from different sample food and water. Bacillus B1 isolated was the highest asparaginase producer, it was identified as a strain of B. subtilis. The highest production of asparaginase was observed when mineral salt medium containing 0.3% asparagen, pH 8 and incubated at 40°c for 24 hrs. B. subtilis B1 cells were immobilized by entrapment methods (calcium alginate and agar), and by adsorption on solid surface such as sawdust and cotton. The result showed that the immobilized cells by adsorption on sawdust was the best, the immobilized cell retained 88% of asparginase activity after 48h while free cell retained 65%. Cells immobilized by adsorption on sawdust was incubated at different temperatu
... Show MoreDesigned Mirrors double and triple package adoption concept heap where they were changing the thickness of the layers within periodic basis of the pile and different ratios (p: q) in addition to change the refractive index of materials within periodic basis and its impact on sites Dhour tops high reflectivity study included spectral region visible and infrared, depending on NdharahFeatured matrix adjusted fall of light close to the vertical arrangement multilayer dielectric materials and thin films homogeneous and uniform
The study of homomorphism and Cartesian product is one of the most important mathematical tools that preserve algebraic structures. In this work, a new definition of the concept of a cubic bipolar-ideal under homomorphism in a TM-algebra is introduced. Some important theorems are presented. The notion of Cartesian product for cubic bipolar-ideals and cubic bipolar T-ideals is studied. Also, several properties of the Cartesian product for cubic bipolar-ideals are investigated. Furthermore, the level subsets of the Cartesian product of two cubic bipolar-ideals are defined.