On Kolmogorov Complexity of Unitary Transformations in Quantum Computing

A Second Derivative Block Method Derived from a Family of Modified Backward Differentiation Formula (BDF) Type for Solving Stiff Ordinary Differential Equations

Equiprime Ideals and Equiprime Semimodules in Boolean Like Semirings

Numerical Solution of Temperature Profile in Annulus

Mathematical Modelling of EOR Methods

An Introduction to Various Types of Mathematics Teaching Aids

A Simple Method of Numerical Integration for a Class of Singularly Perturbed Two Point Boundary Value Problems

A New Approach to Variant Assignment Problem

A Homotopy Based Method for Nonlinear Fredholm Integral Equations

Proof of Beal's Conjecture and Fermat Last Theorem using Contra Positive Method

Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists

Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test

A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Surfaces in R

^{3}with densityIntroducing Trinova: “Trichotomous Nomographical Variance” a Post Hoc Advanced Statistical Test of Between and Within Group Variances of Trichotomous Categorical and Outcome Variables of a Significant Tri–Squared Test

Assistant Professor, Department of Mathematics Education, Christian College of Education, Marthandam, Tamilnadu, India.

According to many learners of Mathematics, it is a difficult subject and is full of abstractness. In the present study the author discusses, the different types of Mathematical teaching aids and ways of using them in mathematics classes more effectively and efficiently. In teaching mathematics, the teacher can use working models and non working models and Audiovisual aids. Audiovisual education is a method of instruction, where particular attention is paid to the audio and visual presentation of the material with the goal of improving comprehension and retention. Audiovisual is a combination of two words audio and video: audio referring to that which the audience can hear, and video referring to that which the audience can see. The basic frame of reference here limits our application of the term to a speaker and his/her audience, although they are not necessarily in the physical presence of one another, as in the case of a motion picture or television presentation. A model can come in many shapes, sizes, and styles. It is important to emphasize that a model is not the real world, but merely a human can constructs to help her/his audience understand to the real world systems. In general all models have an information input, an information processor, and the output of expected results. Thus audio-visual and models help to enhance learning mathematics.

North Carolina Central University.

This monograph provides an epistemological rational for the novel statistical measure is called “Trichotomous Comparative Oneness of Measurement” (represented by the acronym [“TRICOM”]). This new statistic is an innovative way of applying the Tri–Squared Test to single case study research designs. TRICOM is a detailed statistical procedure for the internal testing of the outcomes of the mixed methods Tri–Squared Test (first introduced in the Journal on Mathematics, and detailed further in the Journal on Educational Technology, Journal on School Educational Technology, and in the Journal on Educational Psychology). TRICOM is designed to measure the inputted and outputted Tri–Squared variables for a sample size of one. The TRICOM equations are presented as well as the entire process of advanced statistical visual analysis that illustrates how to graphically display the outcomes of this particular method of arithmetical inquiry.

*-** Firat University, Department of Mathematics, Elazig, Turkey.

The difference operator of fractional order and its applications is studied by P. Baliarsingh in [8], introduced the new sequence spaces using difference operator of fractional order in [9] and examined some topological properties of these sequence spaces and also computed their dual spaces. In this paper, using the definition of difference operator of fractional order and using definitions which are given in [6] by M. Mursaleen and A. K. Noman, the authors introduced the sequence spaces c_{0}(Δ_{λ}^{(α)}) and c (Δ_{λ}^{(α)} ) which are BK-spaces of non-absolute type. The authors also proved that c_{0}(Δ_{λ}^{(α)}) and c(Δ_{λ}^{(α)}) spaces are linearly isomorphic to the classical sequence spaces c_{0} and c, respectively. Lastly, we determine the Schauder basis of the c(Δ_{λ}^{(α)}),c_{0}(Δ_{λ}^{(α)}) and we compute the α-, β- and γ- duals of these spaces.

*-*** Research Scholar, Department of Statistics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India.

** Professor, Department of Statistics, Sri Venkateswara University, Tirupati, Andhra Pradesh, India.

Breast cancer is the most common of all cancers and is the leading cause of cancer deaths among women worldwide. Cancer is the second leading cause of death in worldwide, with more than 12 million new cases every year. Patients with advanced cancer survival of the stomach, bronchus, colon, ovary, or breast were treated. Cancer related mortality has been estimated to about 7.6 million in 2007. Among them, Breast cancer is the most common cancer in women all over India and accounts for 25% to 31% of all cancers in women in Indian cities. In this paper, survival pattern of cancer patients was studied and survival estimates were calculated using the Kaplan-Meier method. Log rank test was used to test the equality of the groups over the survival distribution estimates. The results of the Cox regression analysis show that the hazard ratio for death due to breast cancer in women with an age group (≤30 Years Vs ≥ 50 Years: hazard ratio = 3.704, 95% CI; 2.172–6.316), stage (Early Vs Advanced: hazard ratio = 9.635,95% CI; 4.268–21.75), grade (Poor Vs High: hazard ratio = 0.968, 95% CI; 0.292-3.209) and tumour size (≤ 2 cm Vs ≥ 5cm: hazard ratio = 13.156, 95% CI; 3.018- 57.342) were significantly related to survival. Breast cancer is generally detected at advanced stages when a cure is not possible. The incidence of breast cancer increases with increasing age across the globe.

*-** Research Scholar, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

*** Associate Professor, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

**** PG Scholar, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

***** HOD, & Professor, Department of Mathematics, Sri Venketeswara University, Tirupati. Andhra Pradesh, India.

The objective of this paper is to analyse the flow of viscoelastic fluid of Rivilin-Ericksen type down, an inclined plate under the influence of uniform transverse magnetic field, in the presence of viscous dissipation, thermo diffusion and chemical reaction effects. It is assumed that the flow of fluid is between two inclined heated parallel plates. In the case of stationary convection, the Rivlin-Erickson fluid behaves like an ordinary Newtonian fluid. The dimensionless governing equations are solved analytically by using perturbation method. The effects of velocity, temperature, concentration, the skin-friction coefficient, the Nusselt number and the Sherwood number for different flow parameters are shown in the graphical and the tabular forms.