Some generalized formula for sums of cube

HM Lao, KK Zachary, JN Kinyanjui - 2023 - repository.kyu.ac.ke
The study of integer representations as a sum of powers is still a very long standing problem.
In this work, the study of integer representation as a sum of cube is introduced and …

Analytical Solution of Some Higher Degree Equation Via Radicals

LH Mude - Journal of Advances in Mathematics and …, 2024 - asian.go4publish.com
Since the advent of diophantine equations, many dierent analytic solutions have been
formulated for equations with degree n 4. However, little has been documented on …

An insight into modeling wellbore stability using the extended Mogi-Coulomb criterion and poly-axial test data

AK Manshad, J Ali, M Aghayari, MT Hayavi… - Upstream Oil and Gas …, 2022 - Elsevier
The cost of drilling oil and gas wells is likely to be charged by billions of dollars each year
due to wellbore stability problems. In engineering practice, a linear poroelasticity stress …

A simplified expression for the solution of cubic polynomial equations using function evaluation

AT Tiruneh - arXiv preprint arXiv:2002.06976, 2020 - arxiv.org
This paper presents a simplified method of expressing the solution to cubic equations in
terms of function evaluation only. The method eliminates the need to manipulate the original …

[PDF][PDF] Approaches for smart linear regression in a difficult quasi economic dispatch problem.

SK Gachhayat, SK Dash, BP Deo - International Journal of Electrical & …, 2023 - core.ac.uk
Traditional methods indispensably necessitate monotonically increasing characteristic for
fuel cost of generators in a thermal power plant. However, in medium and large thermal …

[HTML][HTML] Matrix approach to solve polynomial equations

SB Belhaouari, MHF Hijab, Z Oflaz - Results in Applied Mathematics, 2023 - Elsevier
Polynomials are widely employed to represent numbers derived from mathematical
operations in nearly all areas of mathematics. The ability to factor polynomials entirely into …

[PDF][PDF] Alternative method of solution to quartic equation

OC Okoli, P Oraekie, NC Okeke - Coou Journal of Physical …, 2019 - researchgate.net
Let 𝑎𝑥4+ 𝑏𝑥3+ 𝑐𝑥2+ 𝑑𝑥+ 𝑒= 0 be a general quartic equation in one variable. In line with
contributions of several researcher in proffering various methods of solution to the general …

Parameter Estimation of a Noisy Real Sinusoid Using Quartic Polynomial Approach

G Narayanan, DG Kurup - Periodica Polytechnica Electrical Engineering …, 2023 - pp.bme.hu
An analytical polynomial expression, for accurate and computationally efficient frequency
estimation of a single real sinusoid under Additive White Gaussian Noise (AWGN), is …

Equal Sums of Four Even Powers

KB Simatwo - Asian Research Journal of Mathematics, 2024 - publish.sub7journal.com
Let u, v, w, z, k, m and I be any integers such that k= zw= wv= vu. The study of integer I for
which I= u2n+ v2n+ w2n+ z2n= k2+ m2+ r2 is not known. This study is therefore, set to …

On Sums of Squares Involving Integer Sequence:\(\sum_ {r= 1}^ n w_r^ 2+\frac {n}{3} d^ 2= 3\left (\frac {nd^ 2}{3}+\sum_ {r= 1}^{\frac {n}{3}} w_ {3 r-1}^ 2\right)\)

LH Mude, KJ Ndung'u… - Journal of Advances in …, 2024 - library.thepustakas.com
Let wr be a given integer sequence in arithmetic progression with a common difference d.
The study of diophantine equations, which are polynomial equations seeking integer …