Scientific Representation is an interesting topic for philosophers of science, many of whom have recently explored it from different points of view. There are currently two competing approaches to the issue: cognitive and non-cognitive, and each of them claims its own merits over the other. This article tries to provide a hybrid Theory of scientific Representation, called Two-Dimensional Theory of Scientific Representation, which has the merits of the two accounts and is free of their shortcomings. To do this, we will argue that although scientific Representation needs to use the notion of intentionality, such a notion is defined and realized in a simply structural form; contrary to what cognitive approach says about intentionality. After a short introduction, the second part of the paper is devoted to introducing theories of scientific Representation briefly. In the third part, the structural accounts of Representation will be criticized. The next step is to introduce the two-dimensional Theory which involves two key components: fixing and structural fitness. It will be argued that fitness is an objective and non-intentional relation, while fixing is intentional.

One of the factors that can be the link between our intentions and actions and their external consequences is human agency, which indicates the conscious design and intentional execution of actions by the individual in order to influence future events.Objective and Method: This research with a developmental approach of psychometric method and method 1, examines the psychometric indices of the Human Factor Characteristics Scale using the classical Theory of test score measurement and the graduated question-answer Theory. The purpose of this study, which included high school students in Tehran, was selected by cluster sampling of 500 people as a sample size and statistical analysis was performed on 481 data. To collect the data, the ion Human Agent Characteristics Scale (2011) was used and the research questions were evaluated using IRTPRO and SPSS software.Results:The assumption of local independence based on Pearson x2 index was established by applying Simjima's calibrated question-answer Theory and the assumption of being one-dimensional based on the analysis of multidimensional question-answer Theory. Diagnosis parameters with question-answer approach and classical approach Test score Both item 25 approach had the lowest and item 2 had the highest diagnosis parameter. The answer thresholds for all the questions were so far apart that no option was covered by the other option, and the options were independently selected by individuals at intervals of theta. The total scale was calculated with Cronbach's alpha of 0.945, intentionality of 0.894, foresight of 0.780, self-reactivity of 0.871 and rethinking of 0.762. Also, the role of each item in internal consistency was investigated by the loop method, which all questions had a favorable role in internal consistency of this scale. The value of the validity coefficient obtained from the question-answer Theory was obtained by marginal method for intentionality 0.92, forethought 0.85, self-reaction 0.91, rethinking 0.83..

The Representation Theory of finite groups has important applications in investigatingthe structure of abstract finite groups.This Theory was developed by Frobenusmore than 100 years ago and later studied by Burnside, Schur, and Brauer. Inthis article we try to explain fundamental theorems of this Theory and mention a fewapplications.

We present the basic results on the Representation Theory of the alternating groups ‚n. Our approach is based on Clifford Theory.

Some authors have tried Theory of political Representation Put Theoretical foundations of Government in Islamic society. However, it seems Being in conflict with the principles of Shia political thought And weaknesses of this Theory in explaining the political realities, has been led to failure The Theory in Provide a Justified explanation of the fundamental legitimacy of the government’s Shiite political thought. In the present paper After Providing a realistic description of this Theory has been tried The Theory Be analyzed in light of the requirements Shiite political thought.

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a finite dimensional algebra over a field of finite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modified version of it is an invariant under stable equivalences of Morita type. The invariant was used in various contexts to distinguish derived and stable equivalence classes of pairs of algebras in very subtle situations. Generalisations to non symmetric algebras and to higher Hochschild (co-) homology were given. This article surveys the results and gives some of the constructions in more details.

Representation as a political and legal institution is established in the following of theoretical evolutions of the modernism and the Theory of popular and national sovereignty and it is considered as a fundamental institution in the representative democracy. The fundamental basis of the Representation Theory is justified according to human dignity, equality and free and independent will of the individual in individual and social self-determination. Such an approach to Representation is derived of the efforts of political and legal thinkers of classical and modern that today has been shown in modern democracies with the functioning of the welfare state and the guarantee of fundamental human rights. This article try to discuss as to how to interact between the Representation Theory and applying the public will and in this regard and with the descriptive analysis approach, a fundamental question arises: What is represented? Who is represented? How is an individual decision justified for else? and assuming that in the Representation Theory, the rule of the people, the collective will of the public and public interest are represented and the delegate is responsible before the public will and demands of the people.