{"title":"Horizontal and vertical projectile motion in a resistant medium under the influence of transverse magnetic field","authors":"A. Ngiangia, N. Wonu, F. Jim-George","doi":"10.4314/JONAMP.V11I1.40199","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40199","url":null,"abstract":"Horizontal and vertical projectile motion in a resistant medium under the influence of magnetic field is carried out. Solutions to the governing equations is developed using integrating factor method. The results are in reasonable agreement with the findings of [2] and [3] JONAMP Vol. 11 2007: pp. 83-86","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122411229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Work function of elemental metals and its face dependence: Stabilized Jellium approach","authors":"O. Osiele, O. Olubosede","doi":"10.4314/JONAMP.V11I1.40241","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40241","url":null,"abstract":"The stabilizing potentials and work functions of elemental metals were calculated for the flat surface, the (111), (100) and (110) faces using the stabilized jellium model. The calculated work functions were compared with experimental values and calculated values obtained using the ab initio method. The stabilizing potentials for the different faces of the metals revealed that the less densely packed faces require higher potential for stabilization in the stabilized jellium model. The calculated work functions for the flat surface of the metals were in perfect agreement with experimental values for metals in the low-density limit and the agreement with experimental values decreased towards the high-density limit. The calculated work functions for the body centred cubic metals were in good agreement with experimental values. The calculated work function for the hexagonal close packed metals were in fairly good agreement with experimental values while the degree of agreement with experimental values was least for face centred cubic metals. The work functions of metals calculated in this work revealed that the more closely packed faces have higher work functions. The results obtained in this work revealed that the stabilized jellium model could be used to predict fairly well the work function of metals and calculate other metallic properties. JONAMP Vol. 11 2007: pp. 445-454","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122177640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Construction of two-step block Simpson type method with large region of absolute stability","authors":"Y. Yahaya, G. Kumleng","doi":"10.4314/JONAMP.V11I1.40218","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40218","url":null,"abstract":"In this note, we describe the construction of two-step Block Simpson type method with non-uniform order, in continuous approximation form, with large regions of absolute stability. All the discrete schemes used in the block method come from a single continuous formulation. When used in block form, the suggested approach is self- starting, accurate and efficient. Numerical result is included to further justify our present method. JONAMP Vol. 11 2007: pp. 261-268","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"5 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124070421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Regular algebraic monoids","authors":"A. Oduwale","doi":"10.4314/JONAMP.V11I1.40190","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40190","url":null,"abstract":"The purpose of this paper is to provide a proper identification of normal irreducible, regular algebraic monoids. The results from the work of Renner [3,4] suggest that we should be able to find a classification of these monoids in terms of their unit groups, and related toroidal data. That is what we accomplish here. Keywords: Unipotent radical, . toroidal data, normal, irreducible, regular, zero element, maximal torus, Zariski closure, Lie algebra Journal of the Nigerian Association of Mathematical Physics , Volume 19 (November, 2011), pp 37 – 40","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"257 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125714167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MHD flow of a uniformly stretched vertical permeable membrane in the presence of zero order reaction and quadratic heat generation","authors":"A. Okedoye, O. Lamidi, R. Ayeni","doi":"10.4314/jonamp.v11i1.40204","DOIUrl":"https://doi.org/10.4314/jonamp.v11i1.40204","url":null,"abstract":"We present a magneto - hydrodynamic flow of a uniformly stretched vertical permeable surface undergoing Arrhenius heat reaction. The analytical solutions are obtained for concentration, temperature and velocity fields using an asymptotic approximation, similar to that of Ayeni et al 2004. It is shown that the temperature field and the velocity field depend heavily on the thermal grashof numbers, heat generation/absorption, magnetic induction, chemical reaction parameters and reaction order. It is also established that maximum velocity occurs in the body of the fluid close to the surface and not the surface. JONAMP Vol. 11 2007: pp. 119-128","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122233719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Optimal control of neutral systems with nonlinear base (The maximum principle perspective)","authors":"C. Nse, A. Eke","doi":"10.4314/JONAMP.V11I1.40219","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40219","url":null,"abstract":"In this paper we examine the Euclidean controllability for a neutral system with a nonlinear base given by d dt D(t,x t ) = f[(t,x t ,u(t)] + B(t)u(t) * \u0000By a careful analysis of the maximum principle, necessary and sufficient conditions for the existence and uniqueness of optimal controls are deduced. This work is a great improvement of existing works providing a relationship between the attainable and reachable sets. JONAMP Vol. 11 2007: pp.269-274","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121687906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the existence of continuous selections of solution and reachable sets of quantum stochastic differential inclusions","authors":"E. O. Ayoola","doi":"10.4314/JONAMP.V11I1.40198","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40198","url":null,"abstract":"We prove that the map that associates to the initial value the set of solutions to the Lipschitzian Quantum Stochastic Differential Inclusion (QSDI) admits a selection continuous from the locally convex space of stochastic processes to the adapted and weakly absolutely continuous space of solutions. As a corollary, we show that the reachable sets admit some continuous selections. In the framework of the Hudson - Parthasarathy formulations of quantum stochastic calculus, our results are achieved subject to some compactness conditions on the set of initial values and on some coefficients of the inclusion. The results here compliment similar results in our previous work in [3] where continuous selections defined on the set of the matrix elements of initial values were established. JONAMP Vol. 11 2007: pp. 71-82","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130932661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Vertical electric sounding investigation of aquifers in the Ekpoma area of Nigeria.","authors":"F. Ezomo, S. Ifedili","doi":"10.4314/JONAMP.V11I1.40263","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40263","url":null,"abstract":"Aquifers or water bearing formations existence was investigated in Eguare-Egoro, Ekpoma, Edo State, Nigeria by using vertical electric sounding (VES) of schlumberger array. The array was employed with minimum drilling spread of 2m and maximum spread of 500m. The need to investigate aquifer existence in Eguare-Egoro becomes inevitable because of acute shortage of water in the area. The acute shortage of water in the area is primarily due to its unfavourable climate and geology that made the aquifer level to be very deep. This great depth often leads to borehole failure considering the great pumping distance of the machine. Interpretation of data was done initially by curve which provided computer iterative model. The results obtained were presented in the form of geoelectric sections which was then interpreted using bore-hole log as a control to detect various lithologies encountered and aquifers existence in the area. The aquifers are probably sands, clays, sand stones and or sands with clay intercalation. The resistivity values for the existed aquifers detected vary from 40 ohm-m to 12,000 ohm-m. JONAMP Vol. 11 2007: pp. 597-604","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"32 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131126688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the number of cyclic quotients of some Abelian p-Groups","authors":"M. Enioluwafe","doi":"10.4314/JONAMP.V11I1.40191","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40191","url":null,"abstract":"We determine in this paper, the precise number of cyclic quotients of Abelian p-Groups of exponent pi and rank r > 1; i = 1 and 2. JONAMP Vol. 11 2007: pp. 33-38","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125769312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On a two–small–parameter dynamic stability of a lightly damped spherical shell pressurized by a harmonic excitation","authors":"A. Ette","doi":"10.4314/JONAMP.V11I1.40227","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40227","url":null,"abstract":"This paper is concerned with asymptotic solution, using multi-timing technique, of a nonlinear coupled elastic system in a dynamical setting where the structure investigated is a discretized imperfect spherical shell .The normal displacement at a point on the shell surface is assumed to be partly in the form of a symmetric pre-buckling mode, and partly in the form of buckling modes that have both axisymmetric and non-axisymmetric components. The geometric imperfection is assumed to be in the shape of the buckling modes. The explicitly time-dependent load function is assumed harmonic (or periodic) and the dynamic buckling load is obtained nontrivially with specializations of the results made. The results show, among other things, that (i) the only condition under which the effects of any coupling is felt is if none of the imperfections in the shapes of the modes coupling is neglected and (ii) neglecting an imperfection automatically nullifies the effects of the nonlinearity that is in the shape of the neglected imperfection. JONAMP Vol. 11 2007: pp. 333-362","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122329561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}