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THE ORTHOGONAL POLYNOMIALS AND THE PADE'APPROXIMATION

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Applied Mathematics and Mechanics(English Edition) 1998年第7期19卷 663-668页

作者： faiz ahmad (Department of Mathemahcs, Quaid-Azam University, Islamabad, Pakistan) Department of Mathematics Quaid-Azam University Islamabad Pakistan

The diagonal Pade' approximates for exp(x). tanx and tanhx are obtained in asimple manner by using the property of Legendre polynomials that on [ -1, 1] Pn (x)is orthogonal to every polynomial of lower degree. Gauss's... 详细信息

关键词： orthogonal polynomials Pade' approximation Legendrepolynomials numerical approxiamtion

Orthogonal Polynomials and Padé Approximation

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Advances in Manufacturing 1998年第2期2卷 24-27页

作者： faiz ahmad (Department of Mathematics, Quaid i Azam University, Pakistan) Department of Mathematics Quaid-i-Azam University Islamabad Pakistan

The diagonal Padé approximants for exp ( x ), tan x and tanh x are obtained in a simple manner by using the property of Legendre polynomials that on P r1 (x) is orthogonal to every polynomial of lo... 详细信息

关键词： orthogonal polynomials Padé approximation

Effects of Halloysite Nanotube Reinforcement in Expandable Graphite Based Intumescent Fire Retardant Coatings Developed Using Hybrid Epoxy Binder System

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Chinese Journal of Polymer Science 2018年第11期36卷 1286-1296页

作者： Qandeel Fatima Gillan faiz ahmad M.I.Abdul Mutalib Puteri S.M.Megat-Yusoff Sami Ullah Mechanical Engineering Department Universiti Teknologi PETRONAS31750 TronohPerakMalaysia Chemical Engineering Department Universiti Teknologi PETRONAS31750 TronohPerakMalaysiac Department of Mechanical Engineering University of Gujrat50700 GujratPakistan

In this study, the effects of halloysite nanotubes （HNTs） reinforcement in expandable graphite based intumescent fire retardant coatings （IFRCs） developed using a polydimethylsiloxane （PDMS）/phenol BA epoxy system were investigated. Intumescent coating formulations were developed by incorporating different weight percentages of HNTs and PDMS in basic intumescent ingredients （ammonium polyphosphate/melamine/boric acid/expandable graphite, APP/MEL/BA/EG）. The performance of intumescent formulations was investigated by furnace fire test, Bunsen burner fire test, field emission electron microscopy （FESEM）, thermogravimetric analysis （TGA）, transmission electron microscopy （TEM）, and Fourier transform infrared analysis （FTIR）. The Bunsen burner fire test results indicated that the fire performance of HNTs and PDMS reinforced intumescent formulation has improved due to the development of silicate network over the char residue. Improved expansion in char residue was also noticed in the formulation, SH（3）, due to the minimum decomposition of char carbon. FESEM and TEM results validated the development of silicate network over char layer of coating formulations. A considerable mass loss difference was noticed during thermal gravimetric analysis （TGA） of intumescent coating formulations. Reference formulation, SH（0） with no filler, degraded at 300 ~C and lost 50% of its total mass but SH（3）, due to synergistic effects between PDMS and HNTs, degraded above 400 ~C and showed the maximum thermal stability. XRD analysis showed the development of thermally stable compound mulltie, due to the synergism of HNTs and siloxane during intumescent reactions, which enhanced fire performance. FTIR analysis showed the presence of incorporated siloxane and silicates bonds in char residue, which endorsed the toughness of intumescent char layer produced. Moreover, the synergistic effect ofHNTs, PDMS, and other basic intumescent ingredients enhanced the polymer cross-linking in binder system an

关键词： Polydimethylsiloxane (PDMS) Halloysite nanotubes (HNTs) Intumescent fire retardant coatings (IFRC) Thermogravimetric analysis (TGA) Transmission electron microscopy (TEM)

Antibacterial mechanism with consequent cytotoxicity of different reinforcements in biodegradable magnesium and zinc alloys: A review

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Journal of Magnesium and Alloys 2023年第9期11卷 3038-3058页

作者： Chowdhury Ahmed Shahed faiz ahmad Ebru Günister Farhana Mohd Foudzi Saad Ali Khurshid Malik Wan Sharuzi Wan Harun Department of Mechanical Engineering Universiti Teknologi PETRONAS(UTP)32610Seri IskandarPerakMalaysia Faculty of Engineering and Natural Sciences Department of Mechanical EngineeringIstanbul Health and Technology UniversityIstanbulTurkey Department of Mechanical and Manufacturing Engineering Faculty of Engineering and Built EnvironmentUniversiti Kebangsaan Malaysia43600 UKM BangiSelangorMalaysia Faculty of Mechanical&Automotive Engineering Technology Universiti Malaysia Pahang26600 PekanPahangMalaysia

Benefits achieved by the biodegradable magnesium(Mg) and zinc(Zn) implants could be suppressed due to the invasion of infectious microbial, common bacteria, and fungi. Postoperative medications and the antibacterial properties of pure Mg and Zn are insufficient against biofilm and antibiotic-resistant bacteria, bringing osteomyelitis, necrosis, and even death. This study evaluates the antibacterial performance of biodegradable Mg and Zn alloys of different reinforcements, including silver(Ag), copper(Cu), lithium(Li), and gallium(Ga). Copper ions(Cu^(2+)) can eradicate biofilms and antibiotic-resistant bacteria by extracting electrons from the cellular structure. Silver ion(Ag^(+)) kills bacteria by creating bonds with the thiol group. Gallium ion(Ga^(3+)) inhibits ferric ion(Fe^(3+)) absorption, leading to nutrient deficiency and bacterial death. Nanoparticles and reactive oxygen species(ROS) can penetrate bacteria cell walls directly, develop bonds with receptors, and damage nucleotides. Antibacterial action depends on the alkali nature of metal ions and their degradation rate, which often causes cytotoxicity in living cells. Therefore, this review emphasizes the insight into degradation rate, antibacterial mechanism, and their consequent cytotoxicity and observes the correlation between antibacterial performance and oxidation number of metal ions.

关键词： Biodegradable materials Biomedical implants Antibacterial mechanism Cytotoxicity Reactive oxygen species

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农达混剂维护幼龄胶园植带的效果

世界热带农业信息 1993年第3期 55-,35页

作者： ahmad faiz bin Md Alif 范志伟

农达+使它隆或农达+合利防除幼龄胶园植带杂草的效果与农达+百草敌或草毒混剂相同。草百混剂也与草毒混剂或农达+百草敌桶混剂相似。在幼龄胶园,农达混剂需要喷3—4次才能维护植带。农达混剂低容量喷雾对防除中等密度的杂草群丛没有影... 详细信息

农达+使它隆或农达+合利防除幼龄胶园植带杂草的效果与农达+百草敌或草毒混剂相同。草百混剂也与草毒混剂或农达+百草敌桶混剂相似。在幼龄胶园,农达混剂需要喷3—4次才能维护植带。农达混剂低容量喷雾对防除中等密度的杂草群丛没有影响。本试验采用的农达混剂或百敌混剂剂量对1龄半以上的胶树没有影响。

关键词：混剂农达胶园使它隆草毒中等密度化学除草植胶群丛毛蔓豆

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正交多项式及Pade逼近

应用数学和力学 1998年第7期19卷 619-623页

作者：法埃兹.阿赫买德巴基斯坦古艾德.艾.亚赞大学数学系

利用Ｌｅｇｅｎｄｒｅ多项式的性质，得到ｅｘｐ（ｘ），ｔａｎｘ和ｔａｎｈｘ简单形式的对角Ｐａｄｅ逼近，在［－１，１］上Ｐｎ（ｘ）对于任意较低次幂的多项式是正交的·在求得某些函数的分母时，利用了Ｇａｕｓ求积公式·

关键词：正交多项式 Pade逼近数值逼近函数逼近

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三种喷雾器防除丘陵胶园杂草的性能评价

世界热带农业信息 1991年第2期 6-7页

作者： ahmad faiz bin Md Alif 范志伟

本文评价了背负式喷雾器、机动喷雾器和可控液滴喷雾器防除丘陵胶园杂草的性能。

关键词：背负式喷雾器防除杂草除草剂用水量液滴可控胶园丘陵地区动力性能评价

Cayley Picture Fuzzy Graphs and Interconnected Networks

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Intelligent Automation & Soft Computing 2023年第3期35卷 3317-3330页

作者： Waheed ahmad Khan Khurram faiz Abdelghani Taouti Department of Mathematics University of Education LahoreAttock campusPakistan ETS-Maths and NS Engineering Division HCTUniversity CitySharjahUnited Arab Emirates

Theory of the Cayley graphs is directly linked with the group ***,if there are uncertainties on the vertices or edges or both then fuzzy graphs have an extraordinary *** this perspective,numbers of generalηizations of fuzzy graphs have been explored in the *** the others,picture fuzzy graph(PFG)has its own importance.A picture fuzzy graph(PFG)is a pair G=(C,D)defined on a H^(*)=(A,B),where C=(ηC,θ_(C),■_(C))is a picture fuzzy set on A and D=(ηD,θ_(D),■_(D))is a picture fuzzy set over the set B∈A×A such that for any edge mn∈ B with ηD(m,n)≤min(ηC(m),ηC(n)),θD(m,n)≤min(θC(m),θC(n))and ■_(D)(m,n)≥max(■_(C)(m),■_(C)(n)).In this manuscript,we introduce the notion of the Cayley picture fuzzy graphs on groups which is the generalization of the picture fuzzy ***,we discuss few important characteristics of the Cayley picture fuzzy *** show that Cayley picture fuzzy graphs are vertex transitive and hence ***,we investigate different types of Cayley graphs induced by the Cayley picture fuzzy graphs by using different types of *** extensively discuss the term connectivity of the Cayley picture fuzzy *** connectivity and edge connectivity of the Cayley picture fuzzy graphs are also *** also investigate the linkage between these ***,we provide the extensions of some characηteristics of both the PFGs and Cayley fuzzy graphs in the setting of Cayley picture fuzzy ***,we provide the model of interconnected networks based on the Cayley picture fuzzy graphs.

关键词： Cayley picture fuzzy graphs strong CPFGs connected CPFGs cut sets of CPFGs

Saponins and solvent extracts from Atriplex laciniata L. exhibited high anthelmintic and insecticidal activities

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Journal of Traditional Chinese Medicine 2017年第5期37卷 599-606页

作者： Zul Kamal Farhat Ullah Sajjad ahmad Muhammad Ayaz Abdul Sadiq Muhammad Imran Shujat ahmad faiz Ur Rahman Anwar Zeb Department of Pharmacy Shaheed Benazir Bhutto University Sheringal Dir Upper 18050Pakistan Department of Pharmacy University of Malakand Chakdara Dir Lower 18000 Pakistan Department of Zoology Shaheed Benazir Bhutto University Sheringal Dir Upper 18050 Pakistan

OBJECTIVE: To investigate saponins and various solvent extracts from Atriplex laciniata(A. laciniata)against human parasites and various ***: The samples from A. laciniata used in the activities were crude saponins(*** F) and solvent samples including methanolic extract(*** F), ethyl acetate(*** F), choloroform(*** F),n-hexane(*** F) and water residual(*** F). Anthelmintic potentials of the samples were analyzed against Pheretima posthuma(earthworms) and Ascaridia galli(round worms) using contact toxicity method. Insecticidal activities were performed against Heterotermes indicola(termite), Monomorium pharaonis(pharaoh ant), Tribolium castaneum(flour beetle) and Rhyzopertha dominica(grain borer) using standard ***: In anthelmintic assay, *** F and *** F were most effective against P. posthuma and A. gal-li with average death times of 25.62 and 29.65 min respectively. Likewise the anthelmintic assay, *** F and *** F were most effective against H. indicola causing 90.36% and 73.24% lethality respectively. Furthermore, in anti-Pharaoh activity *** F, *** F, *** F, *** F and *** F exhibited highest activity with LD50 of 78, 220, 260, 330 and > 800 mg/m L respectively. *** F and *** F were highly effective against R. dominica causing 80.11% and71.30% lethality respectively. *** F was found most active against T. ***: Our findings suggest that the *** F, *** F and *** F extracted from *** *** be the best options for the isolation of anthelmintic and bio-insecticidal compounds.

关键词： Saponins Atriplex Parasites Hetero termes indicola Monomorium pharaonis Rhyzopertha dominica Tribolium castaneum