The fluctuation and expansion ratios have been studied for cylindrical gas-solid fluidized columns by using air as fluidizing medium and Paracetamol as the bed material. The variables were the column diameter (0.0762, 0.15, and 0.18 m), static bed height (0.05, 0.07, and 0.09 m), and air velocity to several times of minimum fluidization velocity. The results showed that both the fluctuation and expansion ratios had a direct relation with air velocity and an inverse one with column diameter and static bed height. A good agreement was between the experimental results and the calculated values by using the correlation equations from the literature.

This study focuses on studying an oscillation of a second-order delay differential equation. Start work, the equation is introduced here with adequate provisions. All the previous is braced by theorems and examplesthat interpret the applicability and the firmness of the acquired provisions

Background:

Let M be a prime Γ-ring satisfying abc  abc for all a,b,cM and
,  with center Z, and U be a Lie (Jordan) ideal. A mapping d :M M
is called Γ- centralizing if u d u Z  [ , ( )] for all uU and  .In this paper
, we studied Lie and Jordan ideal in a prime Γ - ring M together with Γ -
centralizing derivations on U.

France attached great importance to public funds Article 15 of the Declaration on Human and Citizen's Rights (DDHC) stipulates that society has the right to hold any public official accountable for his or her administration. For that reason, the French legislature has established a body specialized in the control of public funds, which it calls the Court of Accounting. It has established the Court of Budget and Financial Discipline to assist it. The courts are run by judges who cannot be dismissed. The courts are also given jurisdiction, administrative jurisdiction and the role and purpose for which they have been assigned

The diplomatic bag is one of the important means of communication used by the diplomatic mission to communicate with the government of the sending country and its consulates, as well as the missions in other countries. The diplomatic bag was granted absolute immunity against opening, seizing and inspection in order to effectively perform the function entrusted to it. The practical reality revealed the exploitation of the diplomatic bag to smuggle drugs and shipments of weapons and explosives that harmed the national security of the receiving country. The International Law Committee avoided the matter and reconciled the interest of the immunity of the diplomatic bag with the interest of the state in preserving national security and sovere

  We live in a world where cultures and visions overlap .. Therefore, every society seeks to create a harmonization that is in line with the data of those special cultures and reproduces those cultures and defines their paths. There are cultures based on historical action and experience and others that work on historical displacement, and art is one of the most important means of transmitting cultures and establishing their aesthetic harmony. This research is concerned with studying (cultural patterns and their representations in contemporary Mexican painting) and it falls into four chapters. The first chapter is devoted to explaining the research problem, its importance, the need for it, the goal of the research, and identifying th