Aesthetics and quality of numbers using the primety measure

Numerical Investigation of the Primety of Real Numbers

The Farey sequences can be used [1] to create the Eulers totient function φ(n), by identifying the fractions for number n that did not occur in all Farey sequences up to n-1. This function creates, when divided by n-1, what is here called the Primety measure, which is a measure of how close to being a prime number n is. P(n)=φ(n)/(n-1) has maximum 1 for all prime numbers and minimum that decrea...

Accompaniment of Natural and Artificial Urban Elements in the Creation of Urban Aesthetics (Case of Study: Isfahan City)

The objective of this article is to present the established components with regard to the visual quality and legibility of Isfahan city according to Lynch’s theory. Data was gathered in Isfahan mainly by way of observation and interviews. Additional information was obtained from historical data and urban documents. In the opinion of the citizens, the Zayandehrood River, as a natural urban compo...

Ranking of generalized fuzzy numbers using distance measure and similarity measure

Evaluation of objective dimensions in the aesthetics of brick designs (case study: historical context of Dezful house)

One of the important (effective) factor in architecture body is paying Attention to the ornament which is shaped by geometrical patterns. This physical element has been used in different part of the building and has created beautiful designs. The creation of beauty in ornament is also because of criterions which were effective in pattern formation. This recognizing and influencing them in as on...

Ranking of fuzzy numbers based on angle measure

In this paper, a novel approach for ranking fuzzy numbers based on the angle measure is introduced. Several left and right spreads at each chosen levels of fuzzy numbers is used to determine center of mass points(CMPs) and then, the angels between the CMPs and the horizontal axis is calculated. The total angle is determined by averaging the computed angles and finally, the novel method is compa...