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Exact Ordering
Full text link Ordering is an important subject of learning; it has so many applications in day -to - day life. Hence, in this paper exact and general exact ordering methods are reviewed giving sample applications for them.
Firstly, the exact ordering method is introduced and few theorems are given to assign the conditions needed to locate the position of a required object among a class of objects to be ordered in a certain manner in three classes.
Secondly, the exact ordering method is generalized to any odd number of classes In both cases and if the required object class is put in the middle of other classes, then the required object will be located exactly in the middle of all objects provided that we arrange the objects orderly in three classes in the first case and in ones in the second general case and where certain defined steps are to be followed.In general steps are required to determine the required object exactly and where is the odd number of classes.
Making the subject more interesting, deeper, and handled in a sophisticated manner, through the introduction of exact ordering operators, is then exposed to.
Finally, few different applications are suggested in physics, operational research, criminal investigation and in sorting files and postal mailing. A practical demonstration with playing cards is also mentioned
A New Family of Optimal Eighth-Order Iterative Scheme for Solving Nonlinear Equations
Full text linkThe objective of this manuscript is to introduce a new family of optimal eight-order iterative methods for computing the numerical zeros of a nonlinear univariate equation that is not dependent on the second derivative. The family was designed to enhance the order of convergence by merging Bawazir’s method and Newton’s method as a third step. To demonstrate the performance of the offered scheme, assorted numerical comparisons have been investigated. In addition, the efficiency index of the new family is 1.6818
On the Solutions of Systems of Rational Difference Equations
Full text linkIn this paper we study the form of the solutions of the following systems of difference equations
w_{n+1}=\frac{s_{n}(w_{n-3}+s_{n-4})}{s_{n-4}+w_{n-3} -s_{n}} , s_{n+1}=\frac{w_{n-2}(w_{n-2}+s_{n-3})}{2*w_{n-2}+s_{n-3}}.
w_{n+1}=\frac{(s_{n-4} - w_{n-3})s_{n}}{s_{n-4} -w_{n-3} +s_{n}} , s_{n+1}=\frac{(s_{n-3} - w_{n-2})w_{n-2}}{s_{n-3}}.
With nonzero real numbers initial conditions
Generalized John Numbers
Full text linkIn this paper, we define and investigate the generalized John sequences and we deal with, in detail, two special cases, namely, John and John-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences. Furthermore, we show that there are close relations between John and John-Lucas numbers and Pell, Pell-Lucas numbers
Traveling wave solutions and numerical solutions for a mBBM equation
Full text linkIn this paper, some exact meromorphic solutions and generalized trigonometric solutions of the space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation are established by a new transformation and reliable methods. Moreover, some numerical solutions are obtained by using the optimal decomposition method (ODM), and their accuracy is shown in tables and images
Feelings About the Importance of Physical Exercise and its Effects on Mental Health
Full text linkRegular physical exercise is associated with numerous health benefits. Individuals that cultivate physically active lifestyles tend to live longer, have lower rates of disease, and have a higher overall quality of life. Regular exercise is also positively associated with mental health. Data for this study were collected from 285 participants. The findings show that a clear majority of participants believe that exercising improves their overall mood (76.5%) and makes them feel better. Around 3 out of 4 respondents stated that exercise lowers stress, while 7 out of 10 stated that it reduces anxiety. Most of the respondents also reported that physical exercise reduces feelings of depression (60.5%). Seven out of 10 participants prefer to exercise alone. Most of the participants wish they had more time to exercise (80.5%), and most also think that they should make time to exercise more often (83.2%). Women were significantly more likely than men to state that they wish they had more time, and should make more time, to exercise. The most preferred and enjoyed forms of exercise reported were going to gym (lifting weights and cardio) and walking/running. This study shows that people generally feel that physical exercise is important for overall mental health.  
Idempotent Structures Of Semigroup Of Singular - Regular Matrices
Full text linkLet S be a semigroup of singular matrices over a subset of the set of integers. The idempotentelements of S are classified into tridempotent, fractional idempotent and skew idempotentelements. Matrices are generally known to be non-commutative but an example of commutativematrices is established in this work. Matrix multiplication and its axioms are employedto establish the results. Regularity was first established and the condition for regularity ofeach idempotent structure obtained is discussed. Some of the structures obtained are used toestablish bands of regular elements. The fractional component of S is obtained combinatoriallyby choosing a number with its sign for every row of each matrix. There are m values ofmatrices with first and second rows being equal, which are removed from the set since theirmultiplication gives zero. The satisfaction of the condition for commutativity implies that allthe matrices have the same characteristic equation and all are of a specified order n. This isevident in the fact that the product of the principal diagonal, D1 of matrix A is the same asthe product of the principal diagonal D2 of matrix B. Also, the product of the off- diagonal ofmatrices A and B are the same
On the Numerical Solution Of Schrodinger Equation
Full text linkIn the beginning, we start with reviewing basic concepts such as inner product and Hilbert spaces ; then we introduce Schrodinger Equation focusing on the solution of time–dependent and time–independent with a stress on the harmonic oscillator problem which will be the ingredient for our subject ; namely, the numerical solution of .
The numerical solution of is then tackledusing the so–called potential morphing method .Calculations were carried out for the ground state of the which represents the frame of reference to work with. The obtained results were compared with similar ones and found to be in very good agreement. Finally, a brief discussion related to possible future work is given ; moreover recent works on the subject are exposed t
Performance Evaluation Based on the Balanced Scorecard in Port Health Authority
Full text linkBalanced Scorecard is a performance management concept that is used in public organizations including public government. The study aims were the application of elements of the Balanced Scorecard to measure the performance of public organizations. We used descriptive and evaluative research with a cross-sectional design. The sampling technique in this study was simple random sampling. The variables studied are the Balanced Scorecard indicator, namely: customer perspective, financial perspective, internal business perspective, and learning and growth perspective. The result showed that the performance of public organizations in terms of customer perspective showed good performance (3.3-3.9: mean 3.6). The indicator from a financial perspective in 2019 has succeeded in absorbing the Regional Revenue Budget of 98.39% with an increase of 133.99%. The internal business perspective is evidenced by the existence of vaccination services for Hajj and Umrah. The response time is only 10 minutes by using online admission. Learning and growth perspective with mean = 3,2-3,8. (good category). It is necessary to improve e-services by technology information and focus based on consumer's desires
On Curvatures of the Torus Hypersurface in 4-Space
Full text linkWe study curvatures of torus hypersurface in the four dimensional Euclidean space. We also give some relations on of torus hypersurface