scholarly journals An Alternative Approach to Solving Cubic and Quartic Polynomial Equations

2021 ◽  
pp. 57-72
Author(s):  
Ababu Teklemariam Tiruneh
Keyword(s):  
Worked Examples ◽  
Polynomial Equations ◽  
Quadratic Polynomials ◽  
Intermediate Variable ◽  
Cubic Equation ◽  
Alternative Formula ◽  
Alternative Approach ◽  
Quartic Polynomial ◽  
Alternative Procedures ◽  
The University

Aims: The aim of the research study was to develop a more direct and intuitive approach for the solution of polynomial equations of degree 3 and four. Study Design:  The study employed equivalent polynomial substitution that is more intuitive and direct to formulate than the traditional formulations and one that is easily solvable. Place and Duration of Study: The study has been undertaken by the author at the university of Eswatini in the period from February to March 2021. Methodology: Two alternative procedures have been presented for the analytical solution of cubic and quartic equations and demonstrated with worked examples. The solution is derived through a direct procedure without involving intermediate variable substitution. Results: For cubic equations, the solution provides explicit expression of an equivalent cubic that is formed directly in terms of the original variable x. As such, the formula is intuitive and simple to derive or understand as well as apply. For the quartic equations, the same decomposition form is used as that of the cubic equation using two quadratic polynomials that have symmetric form thus making it easy to develop the solution as well as solve the equations Conclusion: The alternative formula is easy to formulate and solve and provides a more intuitive basis for understanding and solving polynomial equations.

scholarly journals Social responsibility in the behavior of organizational citizenship on the basis of the organizational justice of employees at the University of Al-Aqsa variable mediator: المسؤولية الاجتماعية في سلوك المواطنة التنظيمية على اعتبار العدالة التنظيمية لدى العاملين في جامعة الأقصى متغير وسيط

2019 ◽  
Vol 3 (9) ◽  
Author(s):  
Ayman Hassan Al-derawi
Keyword(s):  
Social Responsibility ◽  
Organizational Justice ◽  
Organizational Citizenship ◽  
Organizational Citizenship Behavior ◽  
Gaza Strip ◽  
Citizenship Behavior ◽  
Intermediate Variable ◽  
Research Findings ◽  
The Gaza Strip ◽  
The University

The aim of the study is to examine the relationship between social responsibility and the behavior of organizational citizenship in the employees of Al-Aqsa University, taking into account the need of Al-Aqsa University to create a state of organizational justice as an intermediate variable. The descriptive analytical method was used by applying the random sampling method of 175 individuals from a community of 320 administrative staff working at Al-Aqsa University in the Gaza Strip. Among the most important results of the Research findings was a positive correlation between all dimensions of social responsibility (training, development, human rights, health and public safety, balance between work and life and diversity in the work environment) and the organizational citizenship behavior of Al-Aqsa University employees. Social responsibility and organizational citizenship behavior. The most important recommendations are: to increase the awareness of management and employees of the importance of social responsibility as a means of achieving the university's organizational justice.  

scholarly journals An Architecture for Automated Verification of Academic Testimonials in E-Learning

2019 ◽  
Vol 8 (4) ◽  
pp. 2377-2383
Keyword(s):  
Success Rate ◽  
Hard Copy ◽  
Automated Verification ◽  
Online Application ◽  
Alternative Approach ◽  
E Learning ◽  
Digital Copy ◽  
The University ◽  
A Company ◽  
Manual Verification

Universities offering e-learning courses often provide their students with a hard copy of the marksheet. When that same student wants to apply for a job through the online application portal of a company, he/she must scan the marksheet and upload the scanned copy. This is a nuisance because there can be many such marksheets and not everyone has access to a scanner at home. The candidate is also required to provide the name of the University which issued the degree as well as the marks obtained, because these information cannot be extracted from the scanned marksheet image using OCR with 100% success rate due to many factors including: varying marksheet formats, presence of background watermarks, differing fonts, loss in quality during scanning, etc. The company must now manually verify each such application by matching the entered marks against the marks printed in the marksheet, which is a tedious process. In this paper, we propose an alternative approach where the data printed on the marksheet is also embedded in a digital copy of the marksheet. This digital copy, in the form of an image, can then be downloaded by the students from the University portal thereby eliminating the need for scanning. Furthermore, when this image is uploaded, the company, i.e. job provider, can easily verify the information by invoking a standard API exposed by the University (or some nodal agency), which will then extract the embedded information. This eliminates the need for any manual verification and the entire process is automated, simple, fast and hassle-free. Security features are also inherent in our approach thereby reducing any chances of fraud

C–O Natural Products: (–)-Hybridalactone (Fürstner), (+)-Anthecotulide (Hodgson), (–)-Kumausallene (Tang), (±)-Communiol E (Kobayashi), (–)-Exiguolide (Scheidt), Cyanolide A (Rychnovsky)

2015 ◽  
Author(s):  
Douglass F. Taber
Keyword(s):  
Max Planck ◽  
Enantiomerically Pure ◽  
University Of Oxford ◽  
University Of Wisconsin ◽  
Favorskii Rearrangement ◽  
Alternative Approach ◽  
Ether Oxygen ◽  
Institute Of Technology ◽  
The University ◽  
Complementary Strategy

Control of the absolute configuration of adjacent alkylated stereogenic centers is a classic challenge in organic synthesis. In the course of the synthesis of (–)-hybridalactone 4, Alois Fürstner of the Max-Planck-Institut Mülheim effected (J. Am. Chem. Soc. 2011, 133, 13471) catalytic enantioselective conjugate addition to the simple acceptor 1. The initial adduct, formed in 80% ee, could readily be recrystallized to high ee. In an alternative approach to high ee 2,3-dialkyl γ-lactones, David M. Hodgson of the University of Oxford cyclized (Org. Lett. 2011, 13, 5751) the alkyne 5 to an aldehyde, which was condensed with 6 to give 7. Coupling with 8 then delivered (+)-anthecotulide 9. The enantiomerically pure diol 10 is readily available from acetylacetone. Weiping Tang of the University of Wisconsin dissolved (Org. Lett. 2011, 13, 3664) the symmetry of 10 by Pd-mediated cyclocarbonylation. The conversion of the lactone 11 to (–)-kumausallene 12 was enabled by an elegant intramolecular bromoetherification. Shoji Kobayshi of the Osaka Institute of Technology developed (J. Org. Chem. 2011, 76, 7096) a powerful oxy-Favorskii rearrangement that enabled the preparation of both four-and five-membered rings with good diastereocontrol, as exemplified by the conversion of 13 to 14. With the electron-withdrawing ether oxygen adjacent to the ester carbonyl, Dibal reduction of 14 proceeded cleanly to the aldehyde. Addition of ethyl lithium followed by deprotection completed the synthesis of (±)-communiol E. En route to (–)-exiguolide 18, Karl A. Scheidt of Northwestern University showed (Angew. Chem. Int. Ed. 2011, 50, 9112) that 16 could be cyclized efficiently to 17. The cyclization may be assisted by a scaffolding effect from the dioxinone ring. Dimeric macrolides such as cyanolide A 21 are usually prepared by lactonization of the corresponding hydroxy acid. Scott D. Rychnovsky of the University of California Irvine devised (J. Am. Chem. Soc. 2011, 133, 9727) a complementary strategy, the double Sakurai dimerization of the silyl acetal 19 to 20.

scholarly journals Assessing Muslim Higher Education and Training Institutions (METIs) and Islamic Studies Provision in Universities in Britain: An Analysis of Training Provision for Muslim Religious Leadership after 9/11

Religions ◽  
2019 ◽  
Vol 10 (11) ◽  
pp. 623
Author(s):  
Jawad Shah
Keyword(s):  
Higher Education ◽  
Training Model ◽  
Education And Training ◽  
Religious Leaders ◽  
Religious Leadership ◽  
Islamic Studies ◽  
Alternative Approach ◽  
Training Institutions ◽  
The University ◽  
And Training

The training of Imams and Muslim religious leaders has received much interest in the post-9/11 era, resulting in a vast amount of research and publications on the topic. The present work explores this literature with the aim of analysing key debates found therein. It finds that throughout the literature there is a pervasive demand for reform of the training and education provided by Muslim higher education and training institutions (METIs) and Islamic studies programmes at universities in the shape of a synthesis of the two pedagogic models. Such demands are founded on the claim that each is lacking in the appositeness of its provision apropos of the British Muslim population. This article calls for an alternative approach to the issue, namely, that the university and the METI each be accorded independence and freedom in its pedagogic ethos and practice (or else risk losing its identity), and a combined education from both instead be promoted as a holistic training model for Muslim religious leadership.

A new approach for determining rice critical nitrogen concentration

2011 ◽  
Vol 149 (5) ◽  
pp. 633-638 ◽  
Author(s):  
R. CONFALONIERI ◽  
C. DEBELLINI ◽  
M. PIRONDINI ◽  
P. POSSENTI ◽  
L. BERGAMINI ◽  
...  
Keyword(s):  
Nutritional Status ◽  
Cropping Systems ◽  
Nitrogen Concentration ◽  
Simulation Models ◽  
Crop Models ◽  
N Concentration ◽  
Alternative Approach ◽  
Using Data ◽  
The University ◽  
Critical N Concentration

SUMMARYA reliable evaluation of crop nutritional status is crucial for supporting fertilization aiming at maximizing qualitative and quantitative aspects of production and reducing the environmental impact of cropping systems. Most of the available simulation models evaluate crop nutritional status according to the nitrogen (N) dilution law, which derives critical N concentration as a function of above-ground biomass. An alternative approach, developed during a project carried out with students of the Cropping Systems Masters course at the University of Milan, was tested and compared with existing models (N dilution law and approaches implemented in EPIC and DAISY models). The new model (MAZINGA) reproduces the effect of leaf self-shading in lowering plant N concentration (PNC) through an inverse of the fraction of radiation intercepted by the canopy. The models were tested using data collected in four rice (Oryza sativaL.) experiments carried out in Northern Italy under potential and N-limited conditions. MAZINGA was the most accurate in identifying the critical N concentration, and therefore in discriminating PNC of plants growing under N-limited and non-limited conditions, respectively. In addition, the present work proved the effectiveness of crop models when used as tools for supporting education.

Numerical Solutions of Polynomial Equations for the Eight-Position Synthesis of the Cylindrical-Spherical Dyad

2012 ◽  
Author(s):  
Chintien Huang ◽  
Chenning Hung ◽  
Kuenming Tien
Keyword(s):  
Rigid Body ◽  
Numerical Solutions ◽  
Continuation Method ◽  
Quadratic Equation ◽  
Geometric Constraints ◽  
Numerical Continuation ◽  
Polynomial Equations ◽  
Quartic Polynomial ◽  
Solutions Of Equations ◽  
Position Synthesis

This paper investigates the numerical solutions of equations for the eight-position rigid-body guidance of the cylindrical-spherical (C-S) dyad. We seek to determine the number of finite solutions by using the numerical continuation method. We derive the design equations using the geometric constraints of the C-S dyad and obtain seven quartic polynomial equations and one quadratic equation. We then solve the system of equations by using the software package Bertini. After examining various specifications, including those with random complex numbers, we conclude that there are 804 finite solutions of the C-S dyad for guiding a body through eight prescribed positions. When designing spatial dyads for rigid-body guidance, the C-S dyad is one of the four dyads that result in systems of equal numbers of equations and unknowns if the maximum number of allowable positions is specified. The numbers of finite solutions in the syntheses of the other three dyads have been obtained previously, and this paper provides the computational kinematic result of the last unsolved problem, the eight-position synthesis of the C-S dyad.

The remodeling technique of balloon-assisted Guglielmi detachable coil placement in wide-necked aneurysms: experience at the University of Illinois at Chicago

2000 ◽  
Vol 93 (3) ◽  
pp. 388-396 ◽  
Author(s):  
Victor A. Aletich ◽  
Gerard M. Debrun ◽  
Mukesh Misra ◽  
Fady Charbel ◽  
James I. Ausman
Keyword(s):  
Cerebral Aneurysms ◽  
Detachable Coil ◽  
Content Type ◽  
Guglielmi Detachable Coil ◽  
Alternative Approach ◽  
Long Term Follow Up ◽  
The University ◽  
Fine Print

Object. Reports in the literature have offered discussions of the feasibility, efficacy, and safety of balloon-assisted Guglielmi detachable coil (GDC) placement in wide-necked intracranial aneurysms, which was first described by Jacques Moret as the “remodeling technique.” In this article the authors summarize their results in a subset of aneurysms treated with GDCs using the remodeling technique.Methods. This report contains a retrospective analysis of 72 patients with 75 aneurysms who underwent 79 endovascular procedures performed using the remodeling technique. Morphological outcome was determined at the end of each procedure and by reviewing available follow-up angiograms. Clinical assessments and outcomes are reported using a modified Glasgow Outcome Scale.Coils were placed in 66 (88%) of 75 aneurysms selected for treatment. In eight aneurysms (11%) treatment failures occurred due to the tortuosity of the vessel used to reach the aneurysms or because of balloon inadequacies.Incorporating all available follow-up data the authors found that 50 (78%) of 64 aneurysms were completely or subtotally (> 95%) occluded and eight (12%) of 64 were incompletely (< 95%) occluded. Since the time of coil placement, eight aneurysms have progressed to complete occlusion and another five have exhibited progressive thrombosis on follow-up angiograms. In three aneurysms there has been neck remnant growth. Surgical clipping was performed to treat six aneurysms after an initial coil placement procedure. Permanent incidences of morbidity were limited to four patients and there were three deaths directly related to the procedure.Conclusions. The remodeling technique shows promise in increasing the number of cerebral aneurysms amenable to treatment by endovascular coil placement, and offers an alternative approach to aneurysms that have met with failed surgical treatment or are surgically inaccessible. Long-term follow-up review is needed to determine the final outcome of aneurysms treated by this technique.

scholarly journals The study on general cubic equations over p-adic fields

Filomat ◽  
2021 ◽  
Vol 35 (4) ◽  
pp. 1115-1131
Author(s):  
Mansoor Saburov ◽  
Mohd Ahmad ◽  
Murat Alp
Keyword(s):  
Polynomial Equation ◽  
Rational Numbers ◽  
Lower Degree ◽  
System Of Equations ◽  
Polynomial Equations ◽  
Degree Polynomial ◽  
Diophantine Problem ◽  
Cubic Equation ◽  
All Solutions ◽  
General Number

A Diophantine problem means to find all solutions of an equation or system of equations in integers, rational numbers, or sometimes more general number rings. The most frequently asked question is whether a root of a polynomial equation with coefficients in a p-adic field Qp belongs to domains Z*p, Zp \ Z*p, Qp \ Zp, Qp or not. This question is open even for lower degree polynomial equations. In this paper, this problem is studied for cubic equations in a general form. The solvability criteria and the number of roots of the general cubic equation over the mentioned domains are provided.

scholarly journals Getting Tired of Massive Journal Usage Statistics: A Case Study on Engineering Journal Usage Analysis Using K-Means Clustering

2020 ◽  
Author(s):  
Qianjin Zhang
Keyword(s):  
Data Analytics ◽  
Moderate Number ◽  
Alternative Approach ◽  
Data Consolidation ◽  
Usage Analysis ◽  
Number Of Publications ◽  
The University ◽  
Number Of Citations ◽  
Engineering Journal

It would be challenging for engineering librarians who are responsible for both collection management and public service to review massive usage statistics on a regular basis. In order to tackle this challenge, we initiated a case study of measuring engineering journal usage in an alternative approach. The dataset was extracted from a data analytics company’s journal usage statistics report prepared for the University of Libraries. We decided to reuse data from their report because it would save us time in data consolidation. We segmented a total of 821 journal titles into four clusters using K-Means clustering technique where the first cluster of 38 titles with a high number of publications, citations and downloads; the second cluster of 142 titles with a low number of publications but a moderate number of citations and a high number of downloads; the third cluster of titles with a low number of publications and citations but a moderate number of downloads; the forth cluster of titles with a low number of publications, citations and downloads. In conclusion, our case study of measuring engineering journal usage converted massive journal usage statistics into four clusters of journal titles in a straightforward format. The clusters of journal titles also provided us with a comprehensive view on how engineering journals had been used by both authors and users of our institution in the most recent four years. Last but not the least, this case study showed a possibility of implementing data analytics in academic libraries.

Life and Art

2012 ◽  
Author(s):  
Richard Bradley
Keyword(s):  
New York ◽  
Outer Wall ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Human Form ◽  
East Anglia ◽  
The Arts ◽  
Alternative Approach ◽  
Change Of Perspective ◽  
The University

Not many prehistoric houses survive above their foundations. The three dimensions of the buildings are collapsed (sometimes literally) into the two dimensions of the site plan. That may be all that can be discovered by archaeology, and yet the missing component could have been all-important. The change of perspective is revealing, for the treatment of the walls and roof may be just as significant as the layout of the floor. Few excavated houses are as well preserved as those in the Near East, and there are many parts of Europe in which the question cannot be investigated directly. Here, the existence of ceramic models suggests an alternative approach. During 2010, two exhibitions featuring the arts of the first farmers took place in Britain. They ran simultaneously, one in Oxford and the other in Norwich. They also complemented one another geographically and thematically. The Lost World of Old Europe was organized by The Institute for the Study of the Ancient World at New York University (Anthony 2010), and Unearthed by the Sainsbury Centre for Visual Arts of the University of East Anglia (Bailey et al 2010). The display at the Ashmolean Museum in Oxford featured artefacts from Romania, Moldova, and Bulgaria, whilst that in Norwich was restricted to finds of figurines from Romania, Albania, and Macedonia, although they were compared with others from the Jomon Culture of Japan. Not surprisingly, the Neolithic and Chalcolithic objects spanned a long period of time and were associated with several regional groups. Some were elaborately decorated, while others were entirely plain. The artefacts shown in Norwich were all depictions of the human form, but those in Oxford also included pottery vessels, stone artefacts, and early metalwork. One small group of objects was especially striking, for it consisted of ceramic models of domestic buildings. In one case, from the Cucuteni Culture of Romania, a group of figurines had been discovered inside a miniature house of this kind. The evidence of such models is revealing. There were examples in which the outer wall was highlighted by angular designs, as if to emphasize the rectilinear outline of the building, but there was also a model in the Oxford exhibition which showed a structure with a similar ground plan whose exterior was covered by curvilinear motifs.

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