The current research deals with the study of aesthetic relations in the field of interior design and the extent to which its mechanisms achieve sensory stimulation between the internal and external spaces, to generate a continuous visual connection that is an extension of it, achieving in turn sensory stimulation for the users of those spaces. The internal and external spaces meet the desired purpose of feeling pleasure and beauty.” The current research aims to “discover the nature of aesthetic relations between the internal and external spaces and the extent to which mechanisms can achieve sensory stimulation in residential spaces.” The first topic included the concept of aesthetic relations, sensory excitement, and perception at the level The relationship between the part and the whole on the one hand, and sensory stimulation and the laws of perceptual organization according to the Gestalt laws on the other hand, while the second topic dealt with the concept of external spaces and internal spaces and their borders, leading to the third topic that dealt with the aesthetic relations between the inside and the outside with applications for global internal spaces of the type (outdoor living room ) for the living space in the residential building in a way that secures closeness to the aesthetic completion of relations and arouses in the recipient a sense of pleasure and attraction, which made the designers emphasize working according to this type of space according to modern technologies of our current era and at the level of material and lighting. The research reached a set of conclusions, which It represented an objective analysis of the aesthetic relationships that make sensory excitement achievable in interior design, including:
1-Aesthetic relations were embodied through unity and repetition in the use of plants that achieve sensory stimulation at the level of the principle of perceptual organization (gestalt), through the principle of convergence between the external and internal spaces by employing green plants to enhance belonging to each other, as well as the principle of convergence in the employment of environmentally friendly materials in the furnishing elements. to enhance unity.
2-Visual equilibrium contributes to achieving sensory excitement through varying the degree of transparency and what it achieves of openness through continuity and an extension of visual penetration between the external and internal spaces and in a smooth manner, by employing transparent materials such as glass in the facades, walls and barriers overlooking the outside in a continuous manner.
In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near topological spaces over B. Also, we introduce the concepts of fibrewise near closed and near open topological spaces over B; Furthermore we state and prove several Propositions concerning with these concepts.
In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.
In the present paper, a simply* compact spaces was introduced it defined over simply*- open set previous knowledge and we study the relation between the simply* separation axioms and the compactness, in addition to introduce a new types of functions known as 𝛼𝑆 𝑀∗ _irresolte , 𝛼𝑆 𝑀∗ __𝑐𝑜𝑛𝑡𝑖𝑛𝑢𝑜𝑢𝑠 and 𝑅 𝑆 𝑀∗ _ continuous, which are defined between two topological spaces.
In this work we define and study new concept of fibrewise topological spaces, namely fibrewise soft topological spaces, Also, we introduce the concepts of fibrewise closed soft topological spaces, fibrewise open soft topological spaces, fibrewise soft near compact spaces and fibrewise locally soft near compact spaces.
The concept of fuzzy orbit open sets under the mapping
Fibrewise topological spaces theory is a relatively new branch of mathematics, less than three decades old, arisen from algebraic topology. It is a highly useful tool and played a pivotal role in homotopy theory. Fibrewise topological spaces theory has a broad range of applications in many sorts of mathematical study such as Lie groups, differential geometry and dynamical systems theory. Moreover, one of the main objects, which is considered in fibrewise topological spaces theory is connectedness. In this regard, we of the present study introduce the concept of connected fibrewise topological spaces and study their main results.
The research problem lies in determining the beauty ranges between the receiver and the industrial product, The goal of the research, it is the definition of aesthetics in industrial design and its relation to the receiver, and the researcher outcome several conclusions of the, the most important was: 1. The role of accumulated experience, and their interaction with the vision of the artwork in achieving aesthetic perception and levels of artistic and aesthetic values and by the level of growth this taste of the recipient. 2. There are interactive and close relationship be the primary means for the integration of functional and aesthetic meaning the designer meant to get it to the receiver.