Broyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.

In this paper the guarantee of positive definite and symmetric property for the Hessian matrix will be established by updating the vector  which represents the difference between the next gradient and the current gradient of the objective function assumed to be twice continuous and differentiable .Numerical results are reported to compare the proposed method with the Broyden method under standard problems.

Like the digital watermark, which has been highlighted in previous studies, the quantum watermark aims to protect the copyright of any image and to validate its ownership using visible or invisible logos embedded in the cover image. In this paper, we propose a method to include an image logo in a cover image based on quantum fields, where a certain amount of texture is encapsulated to encode the logo image before it is included in the cover image. The method also involves transforming wavelets such as Haar base transformation and geometric transformation. These combination methods achieve a high degree of security and robustness for watermarking technology. The digital results obtained from the experiment show that the values of Peak Sig

Child's personality development in Islam, in fact, represents the building of the Islamic community and a step on the way for the establishment of life, state, law, and civilization in accordance with the blessed Islamic principles, in order to achieve the happiness of the human being and to protect the components of society and preserve human safety. Child is the issue of interest across many years.  Paying heed to childhood issues is not a recent one. The faith of these communities in the child's rights and his education, which makes a man who cherishes himself and his language and homeland.

     The success of Islamic goals, the happiness of the individual and the

     The study aims at showing the role of tax audit in Impact the quality of tax statements. Tax audit is one of the most important means used by tax management to identify taxable revenues in a just, fair manner. The quality of statements relies on the extent to which the information provided by taxpayers is true and accurate. Tax audit works is compatible with the strategy of increasing tax adherence and detecting non-adherence cases and penalizing those who commit such violations. The study reached a number of results and conclusions. One of the most important results is that tax audit helps improve the information content of the taxpayers tax statements. This leads to recalculating taxable incomes and re-fixing t

In this paper, an algorithm through which we can embed more data than the
regular methods under spatial domain is introduced. We compressed the secret data
using Huffman coding and then this compressed data is embedded using laplacian
sharpening method.
We used Laplace filters to determine the effective hiding places, then based on
threshold value we found the places with the highest values acquired from these filters
for embedding the watermark. In this work our aim is increasing the capacity of
information which is to be embedded by using Huffman code and at the same time
increasing the security of the algorithm by hiding data in the places that have highest
values of edges and less noticeable.
The perform

New sulfonamide derivatives comprising azide, 1, 2, 3- triazole, azo , chalcone and Schiff base moieties had synthesized. The structures of the new compunds have been confirmed byFT-IR and ¹H-NMR spectra. The synthesized derivatives have been screened for antimicrobial and in vitro antioxidant properties. The results of this investigation revealed that the newly synthesized compounds have good antimicrobialand antioxidant activities.

The sound legal thinking that reaches sound legal results is the basis of the legal faculty that is defined as: the faculty of the legal person to understand the legal language verbally and meaningfully and coexist in it and deal with it and realize and choose what words it can from it when needed during work and professional dealing, but this thinking does not have a methodology in specific and specific jurisprudence, as the faculty does not have a fixed size or a certain limit, but is flexible and expands It grows as its owner fills it with legal information and practical experience. The legal faculty has not been regulated by the legislator, in addition to the fact that the judiciary and jurisprudence have not dealt with this by expre

      Let  be a commutative ring with identity. The aim of this paper is introduce the notion of a pseudo primary-2-absorbing submodule as generalization of 2-absorbing submodule and a pseudo-2-absorbing submodules. A proper submodule  of an -module  is called pseudo primary-2-absorbing if whenever , for , , implies that either                  or  or . Many basic properties, examples and characterizations of these concepts are given. Furthermore, characterizations of pseudo primary-2-absorbing submodules in some classes of modules are introduced. Moreover, the behavior of a pseudo primary-2-absorbing submodul

Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph  make up the graph's quotient energy. The objective of this study is to examine the quotient energy of identity graphs and zero-divisor graphs  of commutative rings using group theory, graph theory, and applications. In this study, the identity graphs  derived from the group  and a few classes of zero-divisor graphs  of the commutative ring R are examined.

The research aims to identify the reasons that lead to asymmetry of information between economic unity administration and the parties that use accounting information such as shareholders, So,  the ability to reach to the solutions that would reduce this problem, these factors have been divided into two types: the first one is the internal factors which represent the administration's desire   in order to expand the self-interest of getting the profits and increase the value and competitive entity and investors to obtaining greater returns for their shares, so the second type is the external factors, which represent the failer that occurs ​​in the laws and regula