• Journal of applied mathematics & informatics
• /
• v.35 no.5_6
• /
• pp.505-512
• /
• 2017

In this paper, we explain how the exact closed-form solutions of the classical problems of viscous fluid flow over a heated stretching plate and shrinking sheet can be obtained by a reliable method.

• Proceedings of the Korean Society of Precision Engineering Conference
• /
• 1992.04a
• /
• pp.256-261
• /
• 1992

Acquisition of 3D points is an essential process for modelling of physical 3D objects. Although Coordinate Measuring Machine(CMM) is most accurate for this purpose, it is very time consuming. To enhance the data aquisition speed for scuptured surfaces, active vision with reflecctometric method was used for our system. A fter the data acquisition, the system automatically generates cutting tool path for the 3-axis milling of the object. The fullyintegrated system from the data acquisition to the NC-code generation was implemented with IBN-PC/386 and necessary hardwears.

• Communications of the Korean Mathematical Society
• /
• v.31 no.3
• /
• pp.433-445
• /
• 2016

In the present paper, we expand the domain of work on the concept of semiderivations in 3-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.

• Nonlinear Functional Analysis and Applications
• /
• v.27 no.3
• /
• pp.663-677
• /
• 2022

This present paper extends some fixed point theorems in rectangular b-metric spaces using subadditive altering distance and establishing the existence and uniqueness of fixed point for Kannan type mappings. Non-trivial examples are further provided to support the hypotheses of our results.

• Nonlinear Functional Analysis and Applications
• /
• v.28 no.1
• /
• pp.37-56
• /
• 2023

In this paper, we introduced the notions of ∗ - g-fusion frame and ∗ - K - g-fusion frame in Hilbert C^*-modules, we gives some properties and study the tensor product of ∗ - g-fusion frame. Non-trivial examples are further provided to support the hypotheses of our results.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• v.27 no.4
• /
• pp.296-310
• /
• 2023

In this paper, we derive the Γ-limit of functionals pertaining to some optimal material distribution problems that involve a variable exponent, as the exponent goes to infinity. In addition, we prove a relaxation result for supremal optimal design functionals with respect to the weak-∗ L^∞(Ω; [0, 1])× W^1,p0 (Ω;ℝ^m) weak topology.

• Nonlinear Functional Analysis and Applications
• /
• v.29 no.1
• /
• pp.295-306
• /
• 2024

In this work, we investigate the generalized Hyers-Ulam stability of quadratic functional inequality in modular spaces satisfying ∆₂-conditions and Fatou property, and in 𝛽-homogeneous Banach spaces.

• Wind and Structures
• /
• v.27 no.4
• /
• pp.269-282
• /
• 2018

In this paper, a new displacement field based on quasi-3D hybrid-type higher order shear deformation theory is developed to analyze the static and dynamic response of exponential (E), power-law (P) and sigmoïd (S) functionally graded beams. Novelty of this theory is that involve just three unknowns with including stretching effect, as opposed to four or even greater numbers in other shear and normal deformation theories. It also accounts for a parabolic distribution of the transverse shear stresses across the thickness, and satisfies the zero traction boundary conditions at beams surfaces without introducing a shear correction factor. The beam governing equations and boundary conditions are determined by employing the Hamilton's principle. Navier-type analytical solutions of bending and free vibration analysis are provided for simply supported beams subjected to uniform distribution loads. The effect of the sigmoid, exponent and power-law volume fraction, the thickness stretching and the material length scale parameter on the deflection, stresses and natural frequencies are discussed in tabular and graphical forms. The obtained results are compared with previously published results to verify the performance of this theory. It was clearly shown that this theory is not only accurate and efficient but almost comparable to other higher order shear deformation theories that contain more number of unknowns.

• Asian Pacific Journal of Cancer Prevention
• /
• v.13 no.7
• /
• pp.3153-3157
• /
• 2012

Background: In Morocco, the epidemiological profile of cervical cancer is not well established. The focus of the present study was both epidemiological and pathological characteristics. Methods: For all cases of cervical cancer treated between 2003 and 2007 in the National Institute of Oncology and the Oncology Department of the IbnRochd hospital (Casablanca), 900 cases were randomly selected. Results: The mean age was $52.1{\pm}11.8$ years. The most (90.5%) represented histological type was squamous cell carcinoma. For more than 57.0% cases the mean distance between patient's origin and center of treatment was greater than 100km. According to the FIGO classification, only 17.2% of patients were identified as being in early stages (0 and I). For 72.2% patients the follow-up did not exceed 2 years. At 1 year of following-up 55.8% of patients were alive and 43.4% were lost to following-up. Conclusion: Our study addressed the issue of the burden of cervical cancer in Morocco. The result provides a basis for decision-makers for the development of strategic measures to implement the fight against cervical cancer in Morocco.

• Communications of Mathematical Education
• /
• v.31 no.2
• /
• pp.139-152
• /
• 2017

In this paper, we examine how secondary school mathematics textbooks on calculus introduce the history of calculus. In order to identify the problem, we consider the Babylonian integration by trapezoidal rule, which was made to calculate the location of Jupiter in 350-50 B.C., and the integration by the method of the rotating plate of ibn al-Haytham in Egypt, about 1000 years. In conclusion, our secondary school mathematics textbooks describe Newton and Leibniz as inventing calculus and place their roots in ancient Greece. The origin of the calculus is in Babylonia and the Faṭimah Dynasty (909-1171) (Egypt) and it is desirable that the calculus is developed in Europe after the development of the power series in India, and that the value of Asia Africa is introduced in the textbooks.