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In this research, in order to investigate the effect of the piezoelectric patch which is used as a sensor or actuator in rotating flexible structures such as a helicopter blade, the free vibrations of the rotating rectangular sheet with and without the piezoelectric patch have been presented. First-order shear deformation theory is considered for plate displacement and piezoelectric field. Considering the effect of Coriolis acceleration, centrifugal acceleration and centrifugal in-plane forces, the equations of motion are derived from Hamilton's principle and the electromechanical couple equation is obtained from Maxwell's equation. For piezoelectric, two electrical conditions, open circuit and closed circuit, which are used in sensors and actuators, respectively, have been considered. The equations are discretized with the help of the numerical method of generalized differential squares and the matrices of inertia mass, eccentricity, Coriolis and stiffness matrix are obtained. Natural frequency values for beam and rotating plate have been compared in Abaqus software. Also, the values obtained from the numerical solution in MATLAB have been verified with articles and ABAQUS, which have high accuracy. The effect of parameters such as hub radius, rotation speed, sheet thickness, aspect ratio, piezoelectric patch thickness and applied voltage on the natural frequency of the system has also been investigated.

To investigate the effect of weed interference and weed-free periods on Balangu (Lallemantia royleana Benth. in Wall) and to evaluate the critical period of weed control (CPWC) in this oilseed crop, an experiment was conducted as a randomized complete block design with three replications in Naghadeh region in 2018. Experimental consisted of two groups of treatments; weed infestation treatments (infestation for 144.2, 345.9, 574, 848.2, 1147.6 and 1451.3 growing degree day (GDD) after transplanting and then plots were remained weed-free the rest of the growing season) and weed-free treatments (weeding for 144.2, 345.9, 574, 848.2, 1147.6 and 1451.3 GDD after transplanting and then plots were remained infested until harvesting time). In each block, one weed free and weed infested control was for all the growing season. Results indicated that the density and dry biomass of weeds were increased as weed removal was delayed. In contrast, density and dry biomass of weeds were decreased as weeds establishment was delayed. Height, tetrachenes fruits, ripened achenes, 1000-seed weight and biological, seed and relative yields of Balangu were decreased and increased as the duration of weed-infested and weed-free period increased, respectively. Also, logistic and Gompertz curves fitted to data showed that the beginning and end of the CPWC based on a 10% yield loss of relative yield, was estimated to be from 11 to 108 days after transplanting (97 days weed-free period) in order to prevent a noticeable yield loss.

This article presents a systematic study for abstract harmonic analysis aspects of wave-packet transforms over locally compact abelian (LCA) groups. Let HH be a locally compact group, let KK be an LCA group, and let q:H®Aut(K) q:H®Aut(K) be a continuous homomorphism. We introduce the abstract notion of the wave-packet group generated by q, and we study basic properties of wave-packet groups. Then we study theoretical aspects of wave-packet transforms. Finally, we will illustrate application of these techniques in the case of some well-known examples.

Abstract: This study sought to answer the question of what are the causes of marital infidelity in the Iranian family. To Answer the Research Question, Qualitative Meta-Synthesis (QMS) Method Were Used. Then, 78 Scientific Papers Which Were Considered Marital Infidelity in Iran were identified and were Analyzed. The results showed that the factors of infidelity in Iran can be classified into 9 main categories, including: 1. Social factors, 2. Psychological factors, 3. Cultural factors, 4. Family factors, 5. Personal factors, 6. Relational factors, 7. Economic factors, 8. Media factors, 9. Contextual factors. Each of the main Categories is divided into Different Subcategories. The Social Factors of infidelity were including “Infidelity Opportunities”, “Friend groups” and “Environmental Conditions”. Psychological Factors of Infidelity Were Including “Personality Type”, “Attachment Styles”, and their “Love Schema”. Cultural Factors have Pointed to “Change in Beliefs and values” and “the level of Religious Education” of people. The Family Factors were including “Inappropriate Marriage”, “Family Conflict” and “the Kind of Family Background of people”. The Personal Factors are “Sexual Dissatisfaction”, “Emotional Dissatisfaction”, “the Feeling of Loneliness”, “the Spouse Unavailability”, “Weakness in Controlling Spouse”, “Domestic Violence”, “Revenge of the Spouse” and “the Role of the Third Person in the Relationship”. The Economic factors are including “the Economic Status of the person”, “the Role of Economic Problems”, “the motivation of entering into infidelity under the Pretext of Job promotion”. The media Factors Were Emphasized on “weakening Iranian Values through Social Media Networks and Foreign Satellite Channels” and “Producing of New Needs by Media”. Finally, the Contextual Factors were including the Role of “Age” and “Gender” in the Infidelity. Findings showed that Infidelity Occurred in the group of men and youth in Iran, more than other Social Groups.

We build on previous work on multirings ([17]) that provides generalizations of the available abstract quadratic forms theories (special groups and real semigroups) to the context of multirings ([10], [14]). Here we raise one step in this generalization, introducing the concept of pre-special hyperfields and expand a fundamental tool in quadratic forms theory to the more general multivalued setting: the K-theory. We introduce and develop the K-theory of hyperbolic hyperfields that generalize simultaneously Milnor’, s K-theory ([11]) and Special Groups K-theory, developed by Dickmann-Miraglia ([5]). We develop some properties of this generalized K-theory, that can be seen as a free inductive graded ring, a concept introduced in [2] in order to provide a solution of Marshall’, s Signature Conjecture.

The audience's perception of the work is the culmination of the contact's interaction in the art system in which the audience achieves its understanding by assessing the work. Before the process of interpretation, the paraphrasing of the work, readings are made: Reading means the discovery of hidden message effects. In an attempt to construct a coherent concept of the work, the audience chooses elements of the work and organizes in a coherent whole such as presenting the narrative of the work. Audiences have different receipts in dealing with artwork. The initial assumptions in the perception of the work create a framework in which the next contents are interpreted. It's interpretation lead to the perception and understanding of the work. Past experiences of the audience, level of education, and gender are effective in reading works. The act of perception always begins with the prior knowledge and we associate new thing with what we already knew. Accordingly, the research hypothesis is that the male have abstract approach and female have a concrete approach photo reading. In this paper, with the abstract/concrete reading, and at a level beyond the interpretive / paraphrasing discourse, the exposure of the audience with selected photographs from NioshaTavakolian, GoharDashti, Ehsan Bagheri and Creative Photography Magazine have been investigated. By examining variables such as gender and education in reading and interpreting the audience from the photo, one can differentiate their views into two levels of interpretive (abstract) reading and paraphrasing (concrete) reading. Since among different arts, photographs have become more popular among the general public than visual media, and it has been used as a measure of research variables. The research method is qualitative and is used to study and categorize readings using the focused interview and gender approach. First, the concepts of reading, interpretation, paraphrasing, and narration as readings are discussed, and then the differences between the views of female and male and their relation to the readings and narratives of the photo are referred to, and finally, the narratives are separated which obtained from Focused Interview. Considering that in the Iranian society, women and men have different living experiences, so their views and way of dealing with phenomena such as pictures are different. Education is also effective in interpreting and paraphrasing audiences. Women use readings more than men to interpret and paraphrase. Women and men used different tools and narratives. Women initially start with emotional words and phrases, such as addressing the subject's feelings of a photo, explaining the meaning of photographs in the form of emotional descriptions and even after finding meaning, in most cases, in order to better understand the narrative of the photo with the focus of emotional criteria, they use abstract concepts, in such a way, these emotional descriptions confirm their abstract descriptions. In contrast, the men, in the face of a photo, they first seek to discover the distinct symbols and semantic codes that appear in the external photo and then by creating the rational ratios between them, they try to discover the meaning and interpretation of the photo.

Let K be a commutative ring with identity and N the free nilpotent K-algebra on a nonempty set X. Then N is a group with respect to the circle composition. We prove that the subgroup generated by X is relatively free in a suitable class of groups, depending on the choice of K. Moreover, we get unique representations of the elements in terms of basic commutators. In particular, if K is of characteristic 0 the subgroup generated by X is freely generated by X as a nilpotent group.