A New Formulation of Plücker Coordinates Using Projective Representation

Author(s):  
Vaclav Skala ◽  
Michal Smolik
2008 ◽  
Vol 08 (04) ◽  
pp. 615-628 ◽  
Author(s):  
VACLAV SKALA

There are many algorithms based on computation of intersection of lines, planes etc. Those algorithms are based on representation in the Euclidean space. Sometimes, very complex mathematical notations are used to express simple mathematical solutions. This paper presents solutions of some selected problems that can be easily solved by the projective space representation. Sometimes, if the principle of duality is used, quite surprising solutions can be found and new useful theorems can be generated as well. It will be shown that it is not necessary to solve linear system of equations to find the intersection of two lines in the case of E2 or the intersection of three planes in the case of E3. Plücker coordinates and principle of duality are used to derive an equation of a parametric line in E3 as an intersection of two planes. This new formulation avoids division operations and increases the robustness of computation. The presented approach for intersection computation is well suited especially for applications where robustness is required, e.g. large GIS/CAD/CAM systems etc.


2018 ◽  
Vol 4 (3) ◽  
pp. 483-487
Author(s):  
Yousef Ahmed Alomi ◽  
Hussam Saad Almalki ◽  
Aisha Omar Fallatah ◽  
Awatif Faraj Alshammari ◽  
Nahedh Rashed Alotaibi

The general administration of pharmaceutical care started potential pharmacy practice program. The program is part of accreditation professional’s process of national and international regulations. The adult’s parenteral nutrition was one of the critical programs. The most healthcare professionals are not familiar with the new system. The new initiatives system adult’s standardized concentration formulation of total parental nutrition as complementary to the previous one. The new formulation consisted of all parental nutrition requirements based on national and international standards. The new system can be converted as computerized physician orders. The new initiatives may implement as project management model over one year or less than that’s. The new system prevents nutrition-related problems, and medication errors, and improve clinical outcomes of the adults’ population in the Kingdom of Saudi Arabia.


MISSION ◽  
2019 ◽  
pp. 54-57
Author(s):  
Marco Riglietta ◽  
Paolo Donadoni ◽  
Grazia Carbone ◽  
Caterina Pisoni ◽  
Franca Colombi ◽  
...  

In Italy, at the end of the 1970s, methadone hydrochloride was introduced for the treatment of opioid use disorder, in the form of a racemic mixture consisting of levomethadone and dextromethadone.In 2015 Levometadone was introduced, a new formulation marketed in Italy for the treatment of opioid use disorder in 2015.The article aims to bring the experience of an Italian Addiction Centre back to the use of this new formulation in the "real life" analyzing the efficacy, the trend of adverse events and pharmacological iterations in a context in which the treated population often uses besides the opiates, cocaine and alcohol, are burdened by a relevant physical and psychic comorbidity and frequently have a prescribed polypharmacy.


2016 ◽  
Vol 1 (1) ◽  
pp. 93
Author(s):  
Syamsul Wathani
Keyword(s):  

This article discusses Qur’anic semantic within hermeneutic discourse. The classical interpretation of the Qur’an (I-IV H) are set to be the sobject matter to be discussed within the framework of hermeneutic. By doing so, the article is expected to contribute to give a new formulation about the classical interpretation discourse on the Qur’an. Besides, the article is also expected to discover the new theory about Qur’anic hermeneutic which operated in the sphere of text. The classical Qur’anic semantic has shown the contestation which not only dit it appear in the sphere of meaning (dilalah), but more deeply in played a dialecticsof language between oral notion (al-Qur’an/kalam) and the recipient (khitab al-Qur’an).


2018 ◽  
Vol 69 (2) ◽  
pp. 328-331
Author(s):  
Irina Gradinaru ◽  
Leonard Ignat ◽  
Cristina Gena Dascalu ◽  
Laurentiu Valentin Soroaga ◽  
Magda Ecaterina Antohe

The aim of this study was represented by the definition and testing of a new formulation strategy and the functionality of composite materials, while ensuring the optimization of the relevant properties for the dental restoration processes through the use of precise techniques of characterization, the modification and functionality of the components in view of obtaining results that are characterized by an optimum biomechanical and bioactive relation, in full agreement with the particularities of the dental structure that requires restoration. In view of obtaining new resistant composite structures we made a number of 10 samples including extracted teeth with various losses of dental substance and the structural modifications included 3 types of composites, whose structure was improved by the introduction of inorganic fillings based on hydroxyapatite and silver nanoparticles. All these structures were reinforced with two types of fibers, Reforpost fiber glass kit (Angelus) and Fiber post Schulzer Pre-silanized; With regard to the use of composite structures improved by HA addition, we notice a slight lacunary structure on the SEM images due to the properties of HA, an aspect present at much smaller dimensions in the silver � HA mix. The size of the grains associated with their continuous uniformity and adherence for the fibrillar structure stands out at the samples with hydroxyapatite, the first place as uniformity and adherence going to the composite of the nanofiller technology category.


1979 ◽  
Vol 28 (3) ◽  
pp. 269-282 ◽  
Author(s):  
John Staples

AbstractAn alternative approach is proposed to the basic definitions of the lassical lambda calculus. A proof is sketched of the equivalence of the approach with the classical case. The new formulation simplifies some aspects of the syntactic theory of the lambda calculus. In particular it provides a justification for omitting in syntactic theory discussion of changes of bound variable.


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