This paper predicts the resilient modulus (Mr) for warm mix asphalt (WMA) mixtures prepared using aspha-min. Various predictor variables were analyzed, including asphalt cement types, asphalt contents, nominal maximum aggregate sizes (NMAS), filler content, test temperatures, and loading times. Univariate and multivariate analyses were conducted to examine the behavior of each predictor variable individually and collectively. Through univariate analysis, it was observed that Mr exhibited an inverse trend with asphalt cement grade, NMAS, test temperature, and load duration. Although Mr increased slightly with higher filler and asphalt content, the magnitude of this increase was minimal. Multivariate analysis revealed that the rate of change of Mr was highly dependent on NMAS and the thermo-rheological properties of the asphalt cement. Initially, a linear regression model was developed; however, it underestimated low Mr values and overestimated high Mr values. Moreover, the linear model resulted in negative Mr values, indicating an inadequate representation of the relationship between Mr and predictor variables. Consequently, a nonlinear transformed regression framework was employed to develop an equation that more accurately predicted the Mr values of WMA mixtures. The resulting predictive model exhibited a coefficient of determination (R2) of approximately 95 %. To validate the effectiveness of the proposed model, the remaining 30 % of the test data was utilized. The results demonstrated that the developed model effectively represented the observed data not used during the model-building process. This validation was supported by an R2 of 95.8 % between the predicted and measured Mr values of WMA mixtures.
The financial analysis of the published financial statements is the means that enables businessmen, financial institutions, financial analysts and others to conduct their studies and conclusions to obtain information that helps them in the decision-making process, including decisions related to investment. National in making the decision on the investment activity, for the period from 2012 to 2018, through the information provided by the annual financial statements, by selecting a set of indicators provided by the financial statements, namely (liquidity ratio, activity percentage, profitability ratios) to measure the extent of this ability Indicators in determining their role in making an investment decision.
In this paper, double Sumudu and double Elzaki transforms methods are used to compute the numerical solutions for some types of fractional order partial differential equations with constant coefficients and explaining the efficiently of the method by illustrating some numerical examples that are computed by using Mathcad 15.and graphic in Matlab R2015a.
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... Show MoreThe purpose of this paper is to define fuzzy subspaces for fuzzy space of orderings and we prove some results about this definition in which it leads to a lot of new results on fuzzy space of orderings. Also we define the sum and product over such spaces such that: If f = < a1,…,an > and g = < b1,…bm>, their sum and product are f + g = < a1…,an, b1, …, bm> and f × g =
numerical study is applied to the mercury-argon mixture by solving the boltzman transport equation for different mixture percentage.