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Energy Conditions and Conservation Laws in LRS Bianchi Type Ⅰ Spacetimes via Noether Symmetries

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Communications in Theoretical Physics 2019年第3期71卷 298-306页

作者： Sumaira Saleem Akhtar tahir Hussain Department of Mathematics University of Peshawar

In this paper, we have completely classified the locally rotationally symmetric(LRS) Bianchi Type Ⅰ spacetimes via Noether symmetries(NS). The usual Lagrangian corresponding to LRS Bianchi Type Ⅰ metric is used to find the set of determining equations. To achieve a complete classification, these determining equations are generally integrated to find the components of NS vector field and the metric coefficients. During this procedure, several cases arise which give different Noether algebras of dimension 5,..., 9, 11, and 17. A comparison is established between the obtained NS and the Killing and homothetic vectors. Corresponding to all NS generators, the conservation laws are stated by using Noether's theorem. The metrics which we have obtained as a result of our classification are shown to be anisotropic or perfect fluids which satisfy certain energy conditions.

关键词： Bianchi type Ⅰ model Noether symmetry conservation Laws energy conditions

An improved chaotic hybrid differential evolution for the short-term hydrothermal scheduling problem considering practical constraints

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Frontiers of Information Technology & Electronic Engineering 2015年第5期16卷 404-417页

作者： tahir Nadeem MALIK Salman ZAFAR Saaqib HAROON Electrical Engineering Department University of Engineering and Technology

Short-term hydrothermal scheduling(STHTS) is a non-linear and complex optimization problem with a set of operational hydraulic and thermal constraints. Earlier, this problem has been addressed by several classical techniques; however, due to limitations such as non-linearity and non-convexity in cost curves, artificial intelligence tools based techniques are being used to solve the STHTS problem. In this paper an improved chaotic hybrid differential evolution(ICHDE) algorithm is proposed to find an optimal solution to this problem taking into account practical constraints. A self-adjusted parameter setting is obtained in differential evolution(DE) with the application of chaos theory, and a chaotic hybridized local search mechanism is embedded in DE to effectively prevent it from premature convergence. Furthermore, heuristic constraint handling techniques without any penalty factor setting are adopted to handle the complex hydraulic and thermal constraints. The superiority and effectiveness of the developed methodology are evaluated by its application in two illustrated hydrothermal test systems taken from the literature. The transmission line losses, prohibited discharge zones of hydel plants, and ramp rate limits of thermal plants are also taken into account. The simulation results reveal that the proposed technique is competent to produce an encouraging solution as compared with other recently established evolutionary approaches.

关键词： Valve-point effect Prohibited discharge zones Differential evolution Chaotic sequences Constraint handling

iRNA-PseTNC:identification of RNA 5-methylcytosine sites using hybrid vector space of pseudo nucleotide composition

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Frontiers of Computer Science 2020年第2期14卷 451-460页

作者： Shahid AKBAR Maqsood HAYAT Muhammad IQBAL Muhammad tahir Department of Computer Science Abdul Wali Khan University MardanKP 23200Pakistan

RNA 5-methylcytosine(m^5C)sites perform a major role in numerous biological processes and commonly reported in both DNA and RNA *** enzymatic mechanism and biological functions of m^5C sites in DNA remain the focusing area of researchers for last few ***,the investigators also targeted m^5C sites in RNA due to its cellular functions,positioning and formation ***,several rudimentary roles of the m^5C in RNA have been explored,but a lot of improvements are still under ***,the identification of RNA methylcytosine sites was carried out via experimental methods,which were very hard,erroneous and time consuming owing to partial availability of recognized *** at the significance of m^5C role in RNA,scientists have diverted their attention from structure to sequence-based *** this regards,an intelligent computational model is proposed in order to identify m^5C sites in RNA with high *** RNA sequences formulation methods namely:pseudo dinucleotide composition,pseudo trinucleotide composition and pseudo tetra nucleotide composition are applied to extract variant and high profound numerical *** a sequel,the vector spaces are fused to build a hybrid space in order to compensate the weakness of each *** learning hypotheses are examined to select the best operational engine,which can truly identify the pattern of the target *** strength and generalization of the proposed model are measured using two different cross validation *** reported outcomes reveal that the proposed model achieved 3%better accuracy than that of the highest present approach in the literature so far.

关键词： methylcytosine sites PseTNC PseTetraNC hybrid features SVM cross validation test

Interpreting map usage patterns using geovisual analytics and spatiotemporal clustering

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International Journal of Digital Earth 2015年第8期8卷 599-622页

作者： Gavin McArdle Ali tahir Michela Bertolotto National Center for Geocomputation National University of IrelandMaynoothIreland Institute of Geographical Information Systems School of Civil and Environmental EngineeringNational University of Sciences and TechnologyIslamabadPakistan School of Computer Science and Informatics University College DublinDublinIreland

Extracting meaningful information from the growing quantity of spatial data is a *** issues are particularly evident with spatio-temporal data describing *** data typically corresponds to movement of humans,animals and machines in the physical *** article considers a special form of movement data generated through human–computer interactions with online web *** a user interacts with a web map using a mouse as a pointing tool,invisible trajectories are *** examining the spatial features on the map where the mouse cursor visits,a user’s interests and experience can be *** analyse this valuable information,we have developed a geovisual analysis tool which provides a rich insight into such user *** focus of this paper is on a clustering technique which we apply to mouse trajectories to group trajectories with similar behavioural *** experiments reveal that it is possible to identify experienced and novice users of web mapping environments using an incremental clustering *** results can be used to provide personalised map interfaces to users and provide appropriate interventions for completing spatial tasks.

关键词： geovisual analytics spatio-temporal clustering behavioural clustering map personalisation digital globe

Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections

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Applied Mathematics and Mechanics(English Edition) 2009年第8期30卷 1017-1026页

作者： M.tahir Mustafa Khalid Masood Department of Mathematics and Statistics King Fahd University of Petroleum and MineralsDhahran 31261 Saudi Arabia Department of Mathematics Hafr Al-Batin Community College King Fahd University of Petroleum and MineralsP. O. Box 5087 Dhahran 31261 Saudi Arabia

Lie symmetry method is applied to analyze a nonlinear elastic wave equation for longitudinal deformations with third-order anharmonic corrections to the elastic energy. Symmetry algebra is found and reductions to second-order ordinary differential equations （ODEs） are obtained through invariance under different symmetries. The reduced ODEs are further analyzed to obtain several exact solutions in an explicit form. It was observed in the literature that anharmonic corrections generally lead to solutions with time-dependent singularities in finite times singularities, we also obtain solutions which Along with solutions with time-dependent do not exhibit time-dependent singularities.

关键词： group invariant solutions Lie symmetries nonlinear elasticity equations partial differential equations

Aggregation operators and CRITIC-VIKOR method for confidence complex q-rung orthopair normal fuzzy information and their applications

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CAAI Transactions on Intelligence Technology 2023年第1期8卷 40-63页

作者： tahir Mahmood Zeeshan Ali Muhammad Naeem Department of Mathematics and Statistics International Islamic University IslamabadIslamabadPakistan Umm Al-Qura University MakkahSaudi Arabia

Supply chain management is an essential part of an organisation's sustainable *** the concentration of natural environment,public,and economic influence and feasibility of your suppliers and purchasers is becoming progressively familiar as all industries are moving towards a massive sustainable *** handle such sort of developments in supply chain management the involvement of fuzzy settings and their generalisations is playing an important *** in mind this role,the aim of this study is to analyse the role and involvement of complex q-rung orthopair normal fuzzy(CQRONF)information in supply chain *** major impact of this theory is to analyse the notion of confidence CQRONF weighted averaging,confidence CQRONF ordered weighted averaging,confidence CQRONF hybrid averaging,confidence CQRONF weighted geometric,confidence CQRONF ordered weighted geometric,confidence CQRONF hybrid geometric operators and try to diagnose various properties and ***,with the help of the CRITIC and VIKOR models,we diagnosed the novel theory of the CQRONF-CRITIC-VIKOR model to check the sensitivity analysis of the initiated ***,in the availability of diagnosed operators,we constructed a multi-attribute decision-making tool for finding a beneficial sustainable supplier to handle complex ***,the initiated operator's efficiency is proved by comparative analysis.

关键词： averaging/geometric aggregation operators complex q-rung orthopair normal fuzzy information confidence levels strategic decision-making methods

A case report of the Hoffa fracture and a review of literature

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Chinese Journal of Traumatology 2022年第5期25卷 293-301页

作者： Muzaffar mushtaq Shabir Ahmed Dhar Tariq Ahmed Bhat tahir Ahmed Dar SKIMS MC Bemina Srinagar190020India

The Hoffa fracture is an uncommon fracture. There is a lot of confusion about its diagnosis and management with several conflicting reports in literature. We reported a 25-year-old patient with non-union of Hoffa fracture, and meanwhile tried to develop an algorithm-based treatment for Hoffa fractures. A systematic review of the available literature was performed. Medline, Embase, the Cochrane Library and PubMed were searched for relevant articles. Fifty-five articles were reviewed, and the clinical knowledge base was summarized. The understanding of the mechanism of trauma has become more nuanced. The literature has also evolved to classify the fracture with the purpose of surgical management in mind. This can be used to plan approach and fixation with preservation of blood supply. Classification can also prognosticate the outcomes in Hoffa fracture.

关键词： Hoffa fracture Classification Approach Fixation

Novel Complex T-Spherical Dual Hesitant Uncertain Linguistic Muirhead Mean Operators and Their Application in Decision-Making

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Computer Modeling in Engineering & Sciences 2021年第11期129卷 849-880页

作者： Shouzhen Zeng Zeeshan Ali tahir Mahmood School of Business Ningbo UniversityNingbo315211China College of Statistics and Mathematics Zhejiang Gongshang UniversityHangzhou310018China Department of Mathematics and Statistics International Islamic UniversityIslamabad44000Pakistan

In this manuscript,the theory of complex T-spherical dual hesitant uncertain linguistic set is discovered,which is the mixture of three different ideas like the complex T-spherical fuzzy set,dual hesitant fuzzy set,and uncertain linguistic *** complex T-spherical dual hesitant uncertain linguistic set composes the uncertain linguistic set,truth grade,abstinence grade,and falsity *** real and imaginary parts are the subset of a unit interval,and some of their operational laws are also *** theory of complex T-spherical dual hesitant uncertain linguistic Muirhead mean operator,complex T-spherical dual hesitant uncertain linguistic weighted Muirhead mean operator,complex T-spherical dual hesitant uncertain linguistic dual Muirhead mean operator and complex T-spherical dual hesitant uncertain linguistic weighted dual Muirhead mean operator are *** exceptional cases of the proposed operators are also examined.A multi-attribute decision making technique is further utilized based on explored ***,an enterprise informatization level evaluation issue is resolved by using the presented operators to verify the proficiency and capability of the discovered ***,some comparative analysis and advantages of the explored works are further developed to express that it is more flexible and effective than the existing methods.

关键词： CTSDHULSs Muirhead mean operators MADM enterprise informatization level evaluation

COVID-19 Outbreak Prediction by Using Machine Learning Algorithms

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Computers, Materials & Continua 2023年第1期74卷 1561-1574页

作者： tahir Sher Abdul Rehman Dongsun Kim Department of Creative Technologies Air UniversityIslamabad44230Pakistan School of Computer Science and Engineering Kyungpook National UniversityDaegu41566Korea

COVID-19 is a contagious disease and its several variants put under stress in all walks of life and economy as *** diagnosis of the virus is a crucial task to prevent the spread of the virus as it is a threat to life in the whole ***,with the advancement of technology,the Internet of Things(IoT)and social IoT(SIoT),the versatile data produced by smart devices helped a lot in overcoming this lethal *** mining is a technique that could be used for extracting useful information from massive *** this study,we used five supervised ML strategies for creating a model to analyze and forecast the existence of COVID-19 using the Kaggle dataset“COVID-19 Symptoms and Presence.”RapidMiner Studio ML software was used to apply the Decision Tree(DT),Random Forest(RF),K-Nearest Neighbors(K-NNs)and Naive Bayes(NB),Integrated Decision Tree(ID3)*** develop the model,the performance of each model was tested using 10-fold cross-validation and compared to major accuracy measures,Cohan’s kappa statistics,properly or mistakenly categorized cases and root means square *** results demonstrate that DT outperforms other methods,with an accuracy of 98.42%and a root mean square error of *** the future,a devisedmodel will be highly recommendable and supportive for early prediction/diagnosis of disease by providing different data sets.

关键词： COVID-19 prediction COVID-19 analysis machine learning(ML) algorithms internet of things(IoT) social IoT(SIoT)