This Paper introduces a new local function ϕSζ∗ in a Grill topological space (Ẋ, ζ, τ) by using a semi open set, which is a superset of the local function ϕζ. Additionally, two equivalent operators, Ψs and ΓS that define topology τSζ, were devised based on ϕSζ∗, along with the presentation of various characteristics and properties ofϕ∗Sζ and the two equivalent operators, Ψs and ΓS. Additionally, newly created sets with weakly open properties (ϕSζ∗.open,ζ s.α-open, ζ s.pre.open, ζ s.semi.open) were established and their interrelations were proofed and diagrams that illustrate the relationship between them. For speed and accuracy of completing counterexamples, creating a computer program with original codes we developed will be an exciting progression, assisting in saving time, effort, and errors when computing instances related to guiding principles of the study. This is done by using Wolfram Mathematica program. These generic codes can be utilized to implement more programs related to the topic. A program was developed to execute the necessary programming by creating an algorithm that clarifies how the program operates. Different images of the program interface illustrate the stages of its implementation and application.
This study aimed to determine the optimal conditions for extracting basil seed gum in addition to determine the chemical components of basil seeds. Additionally, the study aimed to investigate the effect of the mixing ratio of gum to ethanol when deposited on the basis of the gum yield which was1:1, 1:2, 1:3 (v/v) respectively. The best mixing ratio was one size of gum to two sizes of ethanol, which recorded the highest yield. Based on the earlier, the optimal conditions for extracting basil seed gum in different levels which included pH, temperature, mixing ratio seeds: water and the soaking duration were studied. The optimal conditions were: pH 8, temperature of 60°C, mixing ratio seeds: water 1:65 (w/v) and soaking duration of 30 min
... Show MoreThe study aims to know the preference of the Iraqi consumer of imported dairy products to local, which has increased demand in recent years due to various reasons including commodity dumping policy that Iraq has been suffering since 2003, which has led to decline in the role of local dairy product in our markets and its inability to compete with imported product for different reasons. The research utilized questionnaire as a survey tool of the opinions of a sample of Iraqi 92 consumers in Baghdad/Alrisafa. The questionnaire consisted of twenty questions included the four components of marketing mixture (product quality, price, place, and promotion). Weighted mean and percentage weight used for data analysis. The study showed that the mos
... Show MoreThis paper presents a hybrid software copy protection scheme, the scheme is applied to
prevent illegal copying of software by produce a license key which is unique and easy to
generate. This work employs the uniqueness of identification of hard disk in personal
computer which can get by software to create a license key after treated with SHA-1 one way
hash function. Two mean measures are used to evaluate the proposed method, complexity
and processing time, SHA-1 can insure the high complexity to deny the hackers for produce
unauthorized copies, many experiments have been executed using different sizes of software
to calculate the consuming time. The measures show high complexity and short execution
time for propos
Maximum likelihood estimation method, uniformly minimum variance unbiased estimation method and minimum mean square error estimation, as classical estimation procedures, are frequently used for parameter estimation in statistics, which assuming the parameter is constant , while Bayes method assuming the parameter is random variable and hence the Bayes estimator is an estimator which minimize the Bayes risk for each value the random observable and for square error lose function the Bayes estimator is the posterior mean. It is well known that the Bayesian estimation is hardly used as a parameter estimation technique due to some difficulties to finding a prior distribution.
The interest of this paper is that
... Show MoreSurvival analysis is the analysis of data that are in the form of times from the origin of time until the occurrence of the end event, and in medical research, the origin of time is the date of registration of the individual or the patient in a study such as clinical trials to compare two types of medicine or more if the endpoint It is the death of the patient or the disappearance of the individual. The data resulting from this process is called survival times. But if the end is not death, the resulting data is called time data until the event. That is, survival analysis is one of the statistical steps and procedures for analyzing data when the adopted variable is time to event and time. It could be d
... Show MoreCritical buckling temperature of laminated plate under thermal load varied linearly along the thickness, is developed using a higher-order shape function which depends on a parameter ‘‘m’’, which is improved to obtain results for thin and thick plates. Laminated plates’ equations of motion are obtained using virtual work principle and solved for simply supported boundary conditions. Angle and cross laminates thermal buckled mode shapes with different E1/E2 proportion, number of plies, (α2/α1) proportion, aspect ratios, are investigated. It is observed that this shape function gives thermal buckling for thin and thick plates but with m = 0.05 that agree well with other theories and linear distribution of temperature giv
... Show MoreThis paper discusses reliability R of the (2+1) Cascade model of inverse Weibull distribution. Reliability is to be found when strength-stress distributed is inverse Weibull random variables with unknown scale parameter and known shape parameter. Six estimation methods (Maximum likelihood, Moment, Least Square, Weighted Least Square, Regression and Percentile) are used to estimate reliability. There is a comparison between six different estimation methods by the simulation study by MATLAB 2016, using two statistical criteria Mean square error and Mean Absolute Percentage Error, where it is found that best estimator between the six estimators is Maximum likelihood estimation method.