JOURNAL OF ADVANCES IN MATHEMATICS JAM is scientific, open access, scholarly, peer-reviewed, fully referred international journal with DOI, ISSN, ICV and IF. CIRWORLD en-US JOURNAL OF ADVANCES IN MATHEMATICS 2347-1921 <p><a href="" target="_blank">Copyright Notice</a></p> Comparative Linear Classification Splicing <p>The conventional Fisher linear classification analysis has been investigated by numerous researchers and this has led to different modification or splicing due to non- robustness when the assumptions are violated and also when the data set contains influential observations. &nbsp;This paper adduced a winsorized procedure to robustify the probability base classification approach.&nbsp; The comparative classification performance of the Fisher linear classification analysis and its spliced versions when the data set are contaminated are investigated. The simulation results revealed that the robust Fisher’s approach based on the minimum covariance determinant estimates outperformed the other procedures; a good competitor to this technique is the winsorized probability base classification technique. Though, the robust Fisher’s technique using the minimum covariance determinant estimates breakdown for mixture contamination. On a general note, the conventional Fisher’s approach and the probability base technique performed comparable.</p> Fred zin ##submission.copyrightStatement## 2017-08-03 2017-08-03 13 4 7280 7285 10.24297/jam.v13i4.6258 Totally Contact Umbilical Radical Transversal Lightlike Submanifolds Of An Almost Contact Manifold With B-Metric <p>In the present paper, we study the geometry of totally contact umbilical radical transversal lightlike submanifolds and totally contact umbilical CR- submanifold of an indenite Sasaki-like almost contact manifold with B-metric. We nd the necessary and sucient condition for the characterization of the induced connection to be a metric connection. Finally, we have proved that for a totally contact umbilical CR-submanifold, totally contact umbilical radical transversal lightlike submanifold is a totally geodesic radical transversal lightlike submanifold.</p> Anu Devgan R. K. Nagaich ##submission.copyrightStatement## 2017-08-03 2017-08-03 13 4 7286 7294 10.24297/jam.v13i4.6234 On the ωb-compactspace <p>The.main.aim of our.paper is ofcompactspaceis.called.ωb-compact.Space,for this aim,the.concept of.b-compact space and.ω-compact space.introduced. and.find that everyis.relationships among.compact, b-compact,.ω-compact spaces..and the.converse is not&nbsp; not generals.and.we define.nearly <strong>-</strong> we prove.some.results about.subject.</p> Hassan. A.Alshams Zain AL-abdeen Abbas Nasser ##submission.copyrightStatement## 2017-08-03 2017-08-03 13 4 7295 7301 10.24297/jam.v13i4.6213 Oscillatory Behavior of Second Order Neutral Dierence Equations with Mixed Neutral Term <p>In this paper, we study the oscillatory behavior of solution of second order neutral dierence equation with mixed neutral term of the form<br>(an(zn)) + qnx(n) = 0; n 2 N0; where zn = xn + bnxn􀀀l + cnxn+k and 1P<br>s=n0<br>1<br>as<br>= 1. We obtain some new oscilla-tion criteria for second order neutral dierence equation. Examples are presented to illustrate the main results.</p> M Angayarkanni S Kavitha ##submission.copyrightStatement## 2017-08-03 2017-08-03 13 4 7302 7307 10.24297/jam.v13i4.6231 The Angle Trisection Solution (A Compass-Straightedge (Ruler) Construction) <p>This paper is devoted to exposition of a provable classical solution for the ancient Greek’s classical geometric problem of angle trisection [3]. (Pierre Laurent Wantzel, 1837),presented an algebraic proof based on ideas from Galois field showing that, the angle trisection solution correspond to an implicit solution of the cubic equation; , which he stated as geometrically irreducible [23]. The primary objective of this novel work is to show the possibility to solve the trisection of an arbitrary angle using the traditional Greek’s tools of geometry, and refutethe presented proof of angle trisection impossibility statement. The exposedproof of the solution is theorem , which is based on the classical rules of Euclidean geometry, contrary to the Archimedes proposition of usinga marked straightedge construction [4], [11].</p> Kimuya M Alex ##submission.copyrightStatement## 2017-09-04 2017-09-04 13 4 7308 7332 10.24297/jam.v13i4.6175 Full-Discrete Weak Galerkin Finite Element Method for Solving Diffusion-Convection Problem. <p>This paper applied and analyzes full discrete weak Galerkin (WG) finite element method for non steady two dimensional convection-diffusion problem on conforming polygon. We approximate the time derivative by backward finite difference method and the elliptic form by WG finite element method. The main idea of WG finite element methods is the use of weak functions and their corresponding discrete weak derivatives in standard weak form of the model problem. The theoretical evidence proved that the error estimate in &nbsp;norm, the properties of the bilinear form, (v-elliptic and continuity), stability, and the energy conservation law.</p> Asmaa Hamdan ##submission.copyrightStatement## 2017-10-06 2017-10-06 13 4 7733 7345 10.24297/jam.v13i4.6312 New Oscillation Criteria for Second Order Neutral Type Dierence Equations <p>In this paper, we present some new oscillation criteria for second order neutral type dierence equation of the form (an(zn)) + qnf(xn) = en; n n0 &gt; 0; where zn = xn 􀀀pnxn􀀀l and is ratio of odd positive integers. Examples are provided to illustrate the results.</p> M Angayarkanni ##submission.copyrightStatement## 2017-10-09 2017-10-09 13 4 7346 7353 10.24297/jam.v13i4.6290 The Non-homogeneous Groshev Convergence theorem for Diophantine Approximation on Manifolds <p>This paper is based on Khintchine theorem, Groshev theorem and measure and dimension theorems for non-degenerate manifolds. The inhomogeneous Diophantine approximation of Groshev type on manifolds is studied. Major work is to discuss the inhomogeneous convergent theory of Diophantine approximation restricted to non-degenerate manifold in , based on the proof of Barker-Sprindzuk conjecture, the homogeneous theory of Diophantine approximation and inhomogeneous Groshev type theory for Diophantine approximation, by the decomposition of the set in manifold, with the aid of Borel Cantell lemma and transformation of lemma and its properties and the main inhomogeneous conversion principle, we know these two types of set in sense of Lebesgue measure is zero provided that the convergent sum condition is satisfied, from which several conclusions about the inhomogeneous convergent theory of Diophantine approximation is obtained. The main result is that Lebesgue measure is inhomogeneous strongly extremal. At last we use the fact that friendly measure is strongly contracting measure to develop an inhomogeneous strong extreme measure which is restricted to matrices with dependent quantities</p> Faiza Akram ##submission.copyrightStatement## 2017-10-26 2017-10-26 13 4 7354 7369 10.24297/jam.v13i4.6352 Certain subclass of univalent functions involving fractional q-calculus operator <p>The main object of the present paper is to introduce certain subclass of univalent function associated with the concept of differential subordination. We studied some geometric properties like coefficient inequality and nieghbourhood property, the Hadamard product properties and integral operator mean inequality.</p> Mustafa Ibrahim HAMEED ##submission.copyrightStatement## 2017-11-10 2017-11-10 13 4 7370 7378 10.24297/jam.v13i4.6442 A symmetry hidden at the center of quantum mathematics causes a disconnect between quantum math and quantum mechanics <p>Although quantum mathematics is the most successful science ever, that does not mean we<br>live in the universe described by quantum mechanics. This article is entirely based on symmetry.<br>Two symmetrical universes could have exactly the same mathematics, but differ in other respects.<br>The motivation for seeking symmetry inside quantum mathematics is that the QM picture of nature<br>is bizarre. Richard Feynman says no one can understand it. We propose that the quantum world is<br>not bizarre. QM portrays the wrong universe: the symmetrical one, not the one we inhabit. If<br>quantum waves travel in the opposite direction as what is expected, then we would have the same<br>math but a different universe, one that is recognizable and familiar. Wave equations are<br>symmetrical with respect to time reversal. This means they are symmetrical with respect to wave<br>direction reversal (with time going forwards). This wave equation symmetry is the basis of the<br>symmetry of two models of the universe, only one of which is congruent with the universe we<br>inhabit.</p> Jeffrey Boyd ##submission.copyrightStatement## 2017-11-24 2017-11-24 13 4 7379 7386 10.24297/jam.v13i4.6413 Common Fixed Point Results for Compatible Map in Digital Metric Spaces <p>The aim of this paper is to define the concept of&nbsp; compatible maps and its variants in the setting of digital metric spaces and establish some common fixed point results for these maps. Also, an application&nbsp; of the proposed results is quoted in this note.</p> Sumitra Dalal ##submission.copyrightStatement## 2017-12-11 2017-12-11 13 4 7387 7392 10.24297/jam.v13i4.6458