Using The Box-Jenkins Method In Time Series To Predict The Monthly Electrical Loads In (Babylon Governorate - Shomali District)

The topic of time series analysis is considered one of the important statistical topics to explain the phenomena that occur during a specific period of time. Time sequence examination objects to find an accurate account of the sequence, build a suitable perfect to interpret its behavior, and use the effects to predict the future time series . We using the Box-Jenkins method in the period sequence to predict the monthly electrical loads in (Babylon Governorate - Shomali district), and we have found that the studied time series is unstable in the mean and variance, we note that the time series is stable in the nasty and alteration. Autocorrelation and incomplete autocorrelation coefficients are used for the original data. Through these coefficients, we conclude that the appropriate model for the data is (3-1-2) ARMA. This model was chosen as it obtained the least (ARAM), and thus the model is appropriate for the data and the use of predictive values until the year (2022)

An Engineering Boundary Eigenvalue Problem Studied by Functional-Analytic Methods

In this paper, we take up a boundary value problem (BVP) from the area of engineering that is described in a book by L. Collatz. Whereas there, the BVP is cast into a boundary eigenvalue problem (BEVP) having complex eigenvalues, here the original BVP is transformed into a BEVP that has positive simple eigenvalues and real eigenfunctions. Further, unlike there, we derive the inverse T = G of the differential operator L associated with the BEVP, show that T = G is compact in an appropriate real Hilbert space H, expand T u = Gu and u for all u ∈ H in a respective series of eigenvectors, and obtain max-, min-, min-max, and max-min-Rayleigh-quotient representation formulas of the eigenvalues. Specific examples for generalized Rayleigh quotients illustrate the theoretical findings. The style of the paper is expository in order to address a large readership

Couple New Iterative Method with Pade Approximation to Solve the Nonlinear Wave-Like Equations with Variable Coefficients

In this paper, some cases of wave-like equation have been solved by modified new iterative method as an infinite power series but it is impossible to compute the infinite series, therefore, the truncated power series was approximated by Pade approximation. Pade approximation approximates a truncated power series as ratio of two polynomials to reduce calculations and shorten the power series while maintaining accuracy. These cases are shown the successful use of solution approximation by Pade approximation compared to power series expansion

Proposed Development of NTRU Public Key Encryption

The 1996 proposal by Hoffstein, Pfeiffer, and Silverman for the NTRU public key encryption system provides a quick and useful substitute for factorization- or discrete logarithm-based classical programs. It rovides approximate security against quantum computing assaults and earoptimal asymptotic efficiency, in contrast to these latter approaches. The security analysis of the system involves examining naturally occurring computational and statistical challenges that are defined on finite polynomial rings. Current advancements in the broader field of latticebased cryptography, include security studies and applications of NTRU and its variations. These advancements include the creation of multilinear

Exponential Fit to Food Degradation Experiment

Students in the Principles of Biology I course use a lot of course time preparing solutions each week in their coursebased research experience. This experiment was designed to determine the degradation rates of prepared solutions ofvarious plant-based foods (i.e., Napa cabbage, rice, peanuts, and apple) under refrigeration as a means of reducing theamount of time for solution preparation. Scaling from the original lab procedures, approximately sixty milliliters offiltrate were prepared from the listed foods and testing was conducted on a thrice-weekly schedule. The concentrationof proteins and carbohydrates were measured using the Bradford’s assay and Benedict’s test, respectively. The datarevealed a noticeable trend in degradation in protein for all the samples. The rice sample proved to be an outlier witha marked increase in reducing sugars, while the other samples gradually decreased

Solutions For Fractional Linear Systems With Hattaf Derivative

This paper deals with the analytical solutions of the fractional-order linear systems characterized by DX(t) = AX(t)fractional differential equations. Here D, is the fractional derivative in the Hattaf sense and A is the (2x2)-typenon-singular real coefficient matrix. We present some results related to the existence of analytical solutions of the linearequation systems of the Hattaf fractional derivative. These solutions are provided for three different fractional-orderlinear systems

Research of Online and Offline Blended Teaching of College Mathematics

The traditional teaching model faces significant challenges in the era of information technology, while the blended learning model that integrates information technology and educational instruction has become an undeniable trend. Blended learning, which combines online and offline elements, can achieve complementary advantages to a greater extent, effectively enhancing the quality of teaching and promoting students' competence. This article explores the blended learning model, using higher mathematics courses as an example

Quasi Triple Operator on Hilbert Space

In this pepar we given a newclass of operators onHilbert space calledquasi  triple operatorand -Quasi  Triple Operator . We study the operator and introdus some properties ofi

Oscillatory Behavior of Higher Order Nonlinear Mixed Type Difference Equations With a Nonlinear Neutral Term

This paper discusses higher order nonlinear neutral mixed type difference equations of the form Δ^{m}[x(n)+p(n)h(x(σ(n)))]+q(n)f(x(τ(n)))=0, n=0,1,2,…, where (p(n)), (q(n)) are sequences of nonnegative real numbers, h, f:R→R are continuous and nondecreasing with uh(u)>0, uf(u)>0 for all u≠0, and (σ(n)) and (τ(n)) are sequences of integers such that lim_{n→∞}τ(n)=lim_{n→∞}σ(n)=∞. In general, we will examine the oscillatory behavior of the solutions for the above equation. Especially, when m is even, the result obtained here complements studies related to the oscillation of the above equation. In addition, examples showing the accuracy of the results are given

Bifurcation analysis of dynamical systems with fractional order differential equations via the modified Riemann-Liouville derivative

In this manuscript, the solutions of linear dynamical systems with fractional differential equations via themodified Riemann-Liouville derivative is derived. By using Jumarie type of derivative (JRL), we stated and provedthe Existence and uniqueness theorems of the dynamical systems with fractional order equations. Also a novel stability analysis of fractional dynamical systems by Jumarie type derivative is established and some important stability conditions are determined. The achieved results have various applications in mathematics, plasma physics and almost all branches of physics that have non-conservative forces. Finally, we investigated interesting application of nonlinear space-time fractional Korteweg-de Vries (STFKdV) equation in Saturn F-ring’s region. Moreover, our investigation could be basic interest to explain and interpret the effects of fractional and modification parameters on STFKdV equation. This is novel study on this model by dynamical system (DS) to describe the behavior of nonlinear waves without solve this system