Vol 8 Issue 1 April 2020-September 2020

Abstract: For many decades, separation of variable is recognized as one of the most powerful techniques for solving linear partial differential equations PDEs. The present paper proposes analytical solution for higher order homogeneous partial differential equations PDEs under specified boundary conditions BCs within a rectangular domain. Firstly, separation of variables and integral factors are used to reduce the given partial differential equation PDE to an ordinary differential equation ODE. After symbolic manipulations, a power series expansion of the unknown function is utilized to create the analytical solution. The present paper is a unique case of separation of variables which rely on eliminating one variable to solve the PDE on the other variable. The proposed closed form solution presented here reduces the effort consumed for implement the alternative numerical solutions. The effectiveness of the obtained method proves the capability to provide an analytical solution overcoming the complexity of boundary conditions and mixed derivatives in the solution of higher order linear PDE.

Keywords: Partial Differential Equation, separation of variables, shape function, Power Series.

Title: Analytical Solution of Higher Order Partial Differential Equations

Author: Ahmed M. Farag El Sheikh

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: It is proved with mathematic calculations, it is absolute method, that the attraction force between two charged particles, or two masses, is analogue in the reverse cube power of the radius of them. It is the first atomic theory for the hydrogen atom. The second is accepting as electric carriers the electric charges, it is up the mass of the particle. It is in force the attraction of the same particles, as it is the attraction of the parallel electric conductors, the revolving charged particles, are like electric conductors are attracted.

It is proved, that the units of the System International, are not consequences between them and is establishing the System Absolute (SAb) of the units of the physics, where the units are consequences. It is parallel, the establishing of the TTS (Total Theory System) of the units, it helps us to find the System Absolute. You must read THE TOTAL THEORY, published in this journal.

They are acceptances-propositions for all these, as the diffraction is correct, and the lengths of the light is correct too. And it is proposition, that the divided time is correct and then, the frequencies of the electromagnetic waves are right. So, with our theories, we calculate the velocity of the light, almost equal to the stated physics velocity. We calculate the same velocity for TTS and we found the relation of the units TTS, SI, SAb.

We find the relations of the units of the electric current, voltage, resistance, magnetic field, in the three systems (TTs, SI, SAb).  

Keywords: mathematic calculations, atomic theory, electric carriers, electric current, voltage, resistance, magnetic field, System Absolute.

Title: THE ABSOLUTE THEORY OF PHYSICS

Author: ALEKOS CHARALAMPOPOULOS

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: This article studies how prime numbers are distributed and approaches a trial and error method for prediciting next prime number.

Keywords: Prime number, Odd number, addition, trial and error.

Title: Prime Number distribution

Author: Venkatesh K.S.

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: The personal Goddess, was born her self, of something indeterminate, which was before existed and she has as her idioms the Logic, it is way of existence and thought, the absolute Time, the Opposition, the in no dimensions Zero and the Infinite Space of continuum ether.

With harmonic oscillation of the volume of the points, it is formed ether, more density of the infinite, than the center, where it is formed bubble or rare ether and it will be the center of the universes control. Infinitesimal grains of dense ether are evaporated and they are conflicted each the other and with the shell of the bubble and they are product infinitesimal bubbles, they are coming out from the central bubble.

Two infinitesimal bubbles are the atom of the hydrogen, they are rotated around their center of ether mass and the different of the phase is π, which makes them to be opposite electric curriers (electric charges).

In the creation are formed six plane universes, they are like circles on the six sides of the cube and the particles of the one, are reacted to the particles of the corresponding others.

The units of the physics measures systems, as the System International, are not connected each other, they are not consequence measures. We propose the Total Theory System, where the units are connected, with the unity acceptance of the standard 1 meter and that the diffraction is right and right they are measured the length of the waves of the radiation.

Keywords: Total Theory System, infinitesimal bubbles, System International.

Title: THE TOTAL THEORY

Author: ALEKOS CHARALAMPOPOULOS

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: In our study, we investigate the influence of thermophoresis and a constant inclined magnetic field on a fluid flowing over a porous wedge. The effects of variable prandtl and thermal conductivity, Hartman number, wedge angle parameter, Schmidt’s number, thermophoretic concentration and a constant suction or injection on the fluid flow parameters are studied numerically by the collocation method since the Prandtl number is a function of thermal conductivity and since thermal conductivity varies across the boundary layer, then prandtl number must also vary. Numerical solutions have been obtained using the collocation method. A tabulation of the effects of these parameters on skin friction, heat transfer and thermophoretic particle deposition is provided. The results of this study reveal that for this study, fluid velocity is increased by increase in magnetic inclination angle, increase in suction and an increase in Hartman number. Fluid temperature is increased by increase in thermal conductivity while fluid particle concentration only increases with increase in concentration parameter.

Keywords: Variable Thermal conductivity, Heat Transfer, Mass transfer, Boundary layer.

Title: INFLUENCE OF INCLINED MAGNETIC FIELD AND THERMOPHORESIS ON HEAT AND MASS TRANSFER WEDGE FLOW WITH VARIABLE THERMAL CONDUCTIVITY

Author: Nzyoka F.K, Kimathi M, Muthondu A.K

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: In this paper the upper bound for the derivative of 5-th degree complex polynomials norm according to a2  and p  complex polynomials norms are studied, for this kind of polynomials, the best possibilities have found. For this Brinstein Type inequalities Clement Frappier has been published a relation for complex polynomials of degree n≥6   (Theorem 8, [9]), but for n=2, 3, 4 and 5 do not exist a unique relation. I have obtained the best possibility for d5  in the following relation. Let pz≔j=15ajzjϵPn ; then p'+d5a2≤5p,

d5  is the smallest positive rot of the following equation. 80-286x2+16x3+106x4+12x5-x6=0

Keywords: Norm Preserving, Positive Defined, Hadamard Product, Hermitian Matrix, Linear Complex Spaces, Analytic Function.

Title: Improving of Bernstein type Inequality for Complex Polynomials of Degree 5 Belongs to a₂

Author: Mohammad khan Haidary

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: This paper presents the relationship between parent and daughter spring constants measure and analyzed for three helical springs. The study employed one group pretest-post test experimental design with neither randomization nor control group. The three helical springs A, B and C used as experimental group were subjected to a pretest determination of their spring constant before they were each cut  into a section equal to half of its original length (daughter spring). A post test determination of the spring constant in each of the daughter springs was done.

The study found out that the spring constant of parent springs A, B and C were; 43.8338 N/m, 10.0988 N/m and 12.2840 N/m respectively while as the daughter spring constants for A, B and C were 73.8149 N/m, 19.6200 N/m and 23.9443 N/m respectively.

The results of this study show that the spring constant of any spring when cut into half of its original length, is never constant but is in agreement with Thomas young`s theory. 

Keywords: Pretest-post test experiment, Parent constant, Daughter constant.

Title: Relationship between Parent and Daughter Spring Constants

Author: Opio Peter, Taabu. S. David, Mugula. B. Ben, Ahebwa Stephen

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: In the present study fruit waste pretreated with Phosphorous (V) Oxy chloride is used for adsorption of Malachite Green (MG).Inorder to investigate the effects of pretreatment on the cationic dye adsorption, kinetics and capacities of raw fruit waste (RFW) and Phosphorous (V) Oxy Chloride treated fruit waste(TFW) to remove MG from aqueous solutions were compared. The effects of various experimental parameters (e.g., Initial pH, dye concentration, contact time) were also studied. According to the maximum adsorption capacity obtained, adsorption capability of fruit waste is significantly increased after phosphorous (V) Oxy Chloride treatment. Both adsorption isotherms of RFW and TFW fitted the Langmuir model well. The processes of uptake followed pseudo-second order rate kinetics. The results in this study indicated that treated fruit waste is a promising adsorbent for remaining MG from aqueous solution.

Keywords: Malachite Green, Fruit Waste, Adsorption, Phosphorous (V) Oxy Chloride, Waste water.

Title: Enhanced Removal of Malachite Green from aqueous solution by Fruit Waste pretreated with Phosphorous (V) Oxy Chloride

Author: Dr.P.PARIMALA DEVI

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: The purpose of this study is; (1) to find out the magnitude of the influence between learning achievement for Mathematics and Physics courses with the Competency Formation course in the Nautical and Engineering majors, and (2) to find out the possibility of learning achievement in Mathematics and Physics courses can increase the competence of Cadets in the Polytechnic of Shipping Makassar. This research uses descriptive method with correlational approach. The population in this study is the Youth Organization Semester VII and VIII with a total of 200 people from 2 majors each of 100 people majoring in Nautika and 100 people majoring in Engineering. The analytical technique used in this study is a combination of quantitative and qualitative analysis. The results showed that; (1) mathematics and physics courses do not significantly influence the value of the handling of a cadet's content, (2) mathematics and physics courses do not significantly affect a cadet's Astronomy Value, (3) mathematics scores and Physics Values ​​do not significantly influence the value of courses Stability in the cadets, (4) mathematics scores and Physics Values ​​do not significantly influence the value of the Position Determination course in the cadets, and (5) Mathematics and Physics Values ​​do not significantly influence the value of Flat Sailing courses in cadets.

Keywords: Mathematics, Physics, Competence, Achievement, Learning.

Title: ANALYSIS OF EFFECT OF ACHIEVEMENT BETWEEN THE MATHEMATICS AND PHYSICS COURSE TO THE COMPETENCE COURCE IN THE MAKASSAR MERCHANT MARINE POLYTECHNIC

Author: Muh. Jafar

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: The concentrations of heavy metals (Mn, Ni, Cr, Cu, Zn, Pb and Fe) in the soils of Onitsha South Local Government area of Anambra Nigeria were investigated and the potential ecological risk of heavy metals pollution evaluated. Atomic Absorption Spectrophotometer (AAS) was employed to analyze the heavy metals concentrations in the studied area. Lars Hakanson’s potential ecological hazards index method was used to evaluate the heavy metals potential ecological risk in soils. The results from heavy metal concentration revealed that average concentrations of the metals investigated were as follows: Mn 1.39 mgkg^-1, Ni 1.24 mgkg^-1,  Zn 1.24mgkg^-1, Cr  9.08 mgkg^-1 , Cu 0.80mgkg^-1, Pb 0.52mgkg^-1and Fe 96.37mgkg^-1 in the wet season while the following average values were recorded in dry season: Mn 1.60mgkg^-1, Ni 1.83mgkg^-1, Zn 2.45mgkg^-1, Cr 11.54mgkg^-1, Cu 1.22mgkg^-1, Pb 0.50mgkg^-1 and Fe 143.54mgkg^-1. The concentrations of Fe in the soils were relatively high (96.368- 143.54 mgkg^-1) for both seasons. The values obtained from the heavy metals concentrations with the exception of Cr and Fe revealed that the soils were not heavily contaminated by these heavy metals. Based on Lars Hakanson’s potential ecological index method, Cr had considerable ecological risk in soils in the wet season with location 8 had highest risk while in the dry season Cr moderately polluted the area with location 7 having considerable ecological risk. The other heavy metals had slight ecological risk. Ecological risk of total heavy metals pollution was moderate. Correlation analysis  suggest that heavy metals pollution source for Mn, Ni, Pb, Cr, Cu, and Zn may be mainly derived from metal processing, electroplating industries, industrial wastewater, agricultural activities and domestic sewage.

Keywords: Heavy metal, Potential ecological risk, Pollution source, Onitsha South L.G. A.

Title: Ecological risk assessment of heavy metals in road side soils of Onitsha South Local Government Area, Anambra Nigeria

Author: K. E. Ochiagha, P. A. C. Okoye, N. C. Eboagu

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: In the recent book “Electromagnetic Unification of Four Forces”(ISBN978-3-659-76798-2), it was compiled the relevant progressions made by the world people in television while led notably by Zi-Jian Cai and the Members in satellite networks from China, India and USA. In this article, it is highlighted the new prospective electromagnetic multi-hairy structure for unifying the nuclear strong force. It was Cai and the European people in television who proposed the mass of particle as the spatially localized electromagnetic structure. It was the India satellite operator and Olympic athletes who proposed the electromagnetic multi-hairy structure for the photon and electrical particles. It was explained the strong interaction as forming the electromagnetic hybrid between charged quarks, which has been supported by different nuclear reactivity for π meson and μ lepton requiring frequency matching, by increase in radii for atomic nuclei of elements, and by quark condensation as increase of electromagnetic mass frequency in flat hybrid. In reverse, it is the multiple hybrids of quarks in atomic nucleus that further supports the electromagnetic structures of multiple hairs. It is perspective to develop the mathematical description of electromagnetic multi-hairy structure in future.

Keywords: Electromagnetic localized mass structure; Electromagnetic multi-hairy structure; Electromagnetic hybrid; Strong force; π-μ nuclear reactivity.

Title: The Prospective Electromagnetic Multi-Hairy Structure of India for Nuclear Strong Force

Author: Zi-Jian Cai

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: The objective of this paper is to review the effect of present lockdown due to COVID-19 Corona pandemic on atmosphere and air pollution. The by analyzing the data of the different major pollutants present in air like  and  measured by the air pollution control board during the lockdown and before the lock down. Mathematical model applied on the several variable and compared simultaneously and concluded that the yearly lock down worldwide is necessary to save the environment. Especially the nitrogen Oxide level present in the air can be controlled by the same type of the lockdown yearly.

Keywords: Ozone (O3) has damaging effects on human health level of  and  is decreased by 2.765916667, 4.092833333, 6.3305 .

Title: The impact of Nitrogen Oxides concentration decreases in atmosphere Due to Lockdown of COVID-19

Author: Mohsin Memon

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: In this paper we develop a new method of construction of singly linked block designs through non-adaptive Hypergeometric group testing designs for identifying at most two defectives for   and  We have shown that such designs are Type I designs and Geometry designs.

Keywords: Non-adaptive Hypergeometric group testing designs, linked block designs, Geometry designs, multigraph designs, Type I optimality.

Title: Testing Desings for Identifying at Most Two Defectives and Their Optimalities of Singly Linked Block Designs through Non-Adaptive Hypergeometric Group

Author: Jigarkumar V Jayswal

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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Abstract: Teacher research plays a vital role in the classroom. They may utilize varied teaching approaches, strategies, technique, instruction materials, and assessment. This study determined the relationship between innovative teaching strategies and the computational abilities of learners. This causal comparative study employed 247 Mathematics Teachers in the elementary level. Data were collected using innovative teaching strategy scale and the mean grade of each pupil in mathematics for the three (3) grading periods. Findings shows that mostly of the respondents are baccalaureate degree holders and they used innovative teaching in their classroom often. Almost 50% of the pupils belong to the satisfactory level of computational ability ranging from 80% to 84%. Critical thinking exhibits a high positive significant relationship with computational abilities. It also showed a slight positive correlation between creativity and computational abilities. Innovative teaching strategy is found out to be a good predictor of computational abilities. Only critical thinking has the greatest predictive power on computational ability of learners followed by creativity, social skills and ICT skills with a negative coefficient.

Keywords: computational abilities, innovative teaching, linear regression, predictive ability, mathematics, quantitative.

Title: INNOVATIVE TEACHING STRATEGIES AND LEARNERS COMPUTATIONAL ABILITIES

Author: RUSTICO Y. JERUSALEM, RN, EdD

International Journal of Mathematics and Physical Sciences Research  

ISSN 2348-5736 (Online)

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