Annals of Mathematics and Physics
https://www.peertechzpublications.com/journals/annals-of-mathematics-and-physics
A Peertechz Open Access Journalen-usApplication of algebra to trisect an angle of 60 degree19 Apr, 2021
https://www.peertechzpublications.com/articles/AMP-4-120.php
Trisection of an angle, doubling the cube, squaring the circle, to draw a regular septagon and to deduce Euclid V from Euclid I to IV are the famous classical impossibilities. Recently, Sivasubramanian and Kalimuthu jointly and independently found several solutions for the parallel postulate problem. Their findings have been published in various peer reviewed international journals. In this work, by applying linear algebraic equations the authors have attempted and trisected 60 degree without using a protractor.Theoretical calculation of self-propagating high-temperature synthesis (SHS) preparation of AlB1223 Mar, 2021
https://www.peertechzpublications.com/articles/AMP-4-119.php
Although experimental results of preparing AlB12 by self-propagating high-temperature synthesis using Mg-B2O3-Al2O3 as raw material has been studied, the theoretical calculations for the preparation of AlB12 have not been examined as thoroughly. In this article, for the first time, we report on the study of theoretical calculation and the adiabatic temperature, calculated, and compared with the actual reaction temperature. The Gibbs free energy for each level of reaction is also calculated. The calculation results show that the adiabatic temperature is 2789.5 K, the standard Gibbs free energy of each reaction is less than 0, and the reaction can proceed spontaneously, which is consistent with the results of the experiment.Energy and exergy analyses of combustion process in a DI diesel engine fuelled with diesel-biodiesel blends15 Mar, 2021
https://www.peertechzpublications.com/articles/AMP-4-118.php
Exergy analysis is achieved by assessing exergies related to the inlet fuel and air, output power, heat loss, gas exhaust loss and destruction or system irreversibility. The exergy fraction of each component is considered for all mixtures by dividing the individual exergy quantity into the exergy of the fuel. In the present investigation, the combustion process has been simulated in a DI diesel engine (OM314) with biodiesel fuel different Blends (B20, B40, B100) of soybean at full load and 1200 rpm by a thermodynamic model using both thermodynamics first and second laws of thermodynamics. The results showed good agreement with the experimental pressure. The results of the analysis of energy and availability balance show that the first and second laws efficiency for pure biodiesel fuel is more than the other two fuel and total availability. indicated work availability, the heat loss availability, burned fuel availability and irreversibility for 20% biodiesel fuel are more than two other fuels.An astrobiological theorem17 Oct, 2020
https://www.peertechzpublications.com/articles/AMP-3-117.php
The structure of the human brain reflects multifarious random influences of terrestrial and phylogenetic history, yet the higher mental functions correlated with this unique cerebral neurophysiology are generally assumed to embody universals common to intelligences independent of biological substrate. This assumption is deeply embedded in scientific and popular cultures. However, this idea has not been explicitly investigated. The present study proves that any sufficiently advanced organism of non-zero, finite volume (with boundary) must have a ‘natural’ logic equivalent to Sentential (propositional) Calculus (SC). This commonalty arises from the essential transduction from external to internal milieu that must occur at any organism’s boundary surface. This transduction encodes SC in sensory data and the proof demonstrates that any internal inductive construct—including mathematics and physics—inherits this logical bias. The topological origin of deductive logic not only demonstrates a universal commonality subject to very weak constraints, but also demonstrates a surprising biological origin of foundational principles in mathematics and physics.Application of logistic regression equation analysis using derivatives for optimal cutoff discriminative criterion estimation19 Aug, 2020
https://www.peertechzpublications.com/articles/AMP-3-116.php
Background: Sigmoid curve function is frequently applied for modeling in clinical studies. The main task of scientific research relevant to medicine is to find rational cutoff criterion for decision making rather than finding just equation for probability calculation.
The objective of this study is to analyze the specific features of logistic regression curves in order to evaluate critical points and to assess their implication for continuous predictor variable dichotomization in order to provide optimal cutoff criterion for decision making.
Methods: Second order and third order derivatives were used to analyze estimated logistic regression function, critical values of independent continuous variable that correspond to zero points of second and third derivative were calculated for each logistic regression equation. Using those values continuous predictors of each logistic regression equations were converted into dichotomized scales using 1 value that correspond to second order derivative and 2 values that correspond to zero points of third derivative then receiver operating characteristics of estimated equations with dichotomized predictor were assessed.
Results: Sigmoid curve of logistic regression has the same structure with inflection point corresponding probability 0.5 (zero value of second derivative) and maximal torsion (zero values of third derivative) corresponding 0.2113 and 0.7886 probability values. Thresholds accounting for predictor values that correspond to zero values of second and third derivative provide estimation of logistic regression applying dichotomized predictor with optimal ratio of sensitivity, specificity and overall accuracy with maximal area under curve.
Conclusion: Analysis of logistic regression equation with continuous predictor applying derivatives help to choose optimal thresholds that provide maximally effective discriminative functions with priority sensitivity or specificity. Using this dichotomization discriminative function can be adjusted to the needs of particular task or study depending which characteristic is in priority – sensitivity or specificity.On freedman equation and the shape of our universe17 Jul, 2020
https://www.peertechzpublications.com/articles/AMP-3-115.php
In the nineteen twenties, the famous Russian mathematician Alexander Freedman formulated an equation which determines the shape and fate of our universe. Freedman derived his equation in general relativity. The equation reveals that the geometry of the universe may be flat, closed or open. The Euclidean, hyperbolic and spherical geometries describe the flat, open and closed universes respectively. Both NASA’s WMAP and ESA’s PLANCK mission show the cosmological curvature parameter, ΩK, to be 0.000±0.005, consistent with a flat universe. Many observational cosmological probes revealed that the universe is flat obeying the classical Euclidean geometry. But till this day, there is no mathematical formulation/proof for the geometry of our universe. In this work, the attempts to establish that the shape of our universe is flat.Time series analysis of Holt model and the ARIMA Model facing Covid-1903 Jul, 2020
https://www.peertechzpublications.com/articles/AMP-3-114.php
Background: Since the first appearance of the novel coronavirus in Wuhan in December 2019, it has quickly swept the world and become a major security incident facing humanity today. While the novel coronavirus threatens people’s lives and safety, the economies of various countries have also been severely damaged. Due to the epidemic, a large number of enterprises have faced closures, employment has become more difficult, and people’s lives have been greatly affected. Therefore, to establish a time series model for Hubei Province, where the novel coronavirus first broke out, and the United States, where the epidemic is most severe, to analyze the spreading trend and short-term forecast of the new coronavirus, which will help countries better understand the development trend of the epidemic and make more adequate preparation and timely intervention and treatment to prevent the further spread of the virus.
Dynamic model of infectious diseases on the coronavirus disease 201912 Jun, 2020
https://www.peertechzpublications.com/articles/AMP-3-113.php
Under the general trend of globalization, historically and newly discovered infectious diseases are seriously threatening people’s health and lives, including: Avian influenza H7N9, AIDS HIV, Influenza A H1N1, etc., a new type of corona that is currently spreading in many countries around the world Viral pneumonia (C0VID-19), there is currently no good therapeutic drug, which seriously affects human survival and development. The rapid spread of the new coronavirus in Hong Kong, while starting the epidemic prevention work, uses mathematical modeling methods to construct the propagation model, and then calculates the inflection point for better prevention and control of the spread of epidemic work. The spread of Hong Kong was analyzed, and the quantitative relationship between the growth rate of the number of new coronavirus infections and time was explored.Analysis of the axial stability for an assembly of optical modes with stochastic fluctuations type Markov chain12 May, 2020
https://www.peertechzpublications.com/articles/AMP-3-112.pdf
We describe the engineering of optical modes whose axial structure follows fluctuations of Markov-chain-type.Standard model in a Nutshell07 Mar, 2020
https://www.peertechzpublications.com/articles/AMP-3-111.pdf
Understanding the complexity of the Standard Model (SM) of particle physics is crucial for young students aiming to pursue their future higher studies in physics. Poisson structures on (non)associative noncommutative algebras and integrable Kontsevich type Hamiltonian systems30 Jan, 2020
https://www.peertechzpublications.com/articles/AMP-3-110.php
We have revisited the classical Poisson manifold approach, closely related to construction of Hamiltonian operators, generated by nonassociative and noncommutative algebras. In particular, we presented its natural and simple generalization allowing effectively to describe a wide class of Lax type integrable nonlinear Kontsevich type Hamiltonian systems on associative noncommutative algebras.Modeling of active thermography through uncertainty quantifi cation of parameters of the heat transfer equation19 Nov, 2019
https://www.peertechzpublications.com/articles/AMP-2-109.php
Active thermography is an experimental technique used to analyze samples of materials or entire structures without destroying them, by means of a heat source, such as a laser beam of a given power.An analysis of ammonia synthesis by the model of Selective Energy Transfer (SET)26 Sep, 2019
https://www.peertechzpublications.com/articles/AMP-2-108.php
The SET theory implies that energy is transferred from the catalyst system via infrared radiation to the molecules that are supposed to react. In previous investigations it has been demonstrated that the activation of the reacting species-as long as the molecules are infrared active-can occur at low adsorption strength. However, for molecules that are IR inactive, e.g. dinitrogen, this is not possible.The quadratic Poisson structures and related nonassociative noncommutative Zinbiel type algebras16 Sep, 2019
https://www.peertechzpublications.com/articles/AMP-2-107.pdf
There are studied algebraic properties of the quadratic Poisson brackets on nonassociative noncommutive algebras, compatible with their multiplicative structure. Their relations both with differentiations of the symmetric tensor algebras and Yang-Baxter structures on the adjacent Lie algebras are demonstrated.The dispersionless completely integrable heavenly type Hamiltonian flows and their differential-geometric structure28 Aug, 2019
https://www.peertechzpublications.com/articles/AMP-2-106.pdf
There are reviewed modern investigations devoted to studying nonlinear dispersiveless heavenly type integrable evolutions systems on functional spaces within the modern differential-geometric and algebraic tools. Main accent is done on the loop diffeomorphism group vector fields on the complexified torus and the related Lie-algebraic structures, generating dispersionless heavenly type integrable systems.Mid-point technique for calculating divergent integrals10 Jul, 2019
https://www.peertechzpublications.com/articles/AMP-2-105.php
A mid-point technique is introduced to overcome the diffi culties in other techniques. The modied
e⁄ective interaction quark potential which uses to calculate different properties of the NJL model such
as the constituent quark mass, pressure, and energy density is solved using the present technique. The
present method gives good accuracy for the mathematical problem and avoids the physical di¢ culty in
the previous works.Black quanta. On the thermodynamics of the black holes02 Jul, 2019
https://www.peertechzpublications.com/articles/AMP-2-104.pdf
It is shown that the quantized internal motion of the black holes consists of Planck quanta (Planck
mass, length, time, etc), which may be called black quanta. The mass of the black hole is a integral
multiple of the Planck mass, and the radius of the black hole (Schwarzschild radius) is an integral multiple
of the Planck length. This circumstance arises from the proportionality of the black hole radius and mass.
The statistical physics and the thermodynamics of the black holes are derived herein from the statistical
motion of the black quanta.Space Equations04 Mar, 2019
https://www.peertechzpublications.com/articles/AMP-2-103.php
Trying to observe the reason behind the differences in the nature of space that exists on earth and on the outer space led to the path were space and gravity meets. This paper presents a theory which comprises of an already existing effect that has helped to determine the following;
• Space constant.
• The Relationship between Space and Gravity.
• Formulation of Space Equations.
• Verification of the value of acceleration due to gravity, mass, radius of most planetary bodies.
• The Fate of the existence of parallel universes.Integral formulations for 1-D Biharmonic and Second Order Coupled Linear and Nonlinear Boundary Value Problems29 Oct, 2018
https://www.peertechzpublications.com/articles/AMP-1-101.php
Integral formulations based on a boundary-domain interpretation of the boundary element method
(BEM) are applied to develop the numerical solutions of biharmonic and second order coupled linear and
nonlinear boundary value problems.