Numerical Math Research Articles

Modeling sorption properties of maize by-products obtained using the Dynamic Dewpoint Isotherm (DDI) method

The amount of water available in food for enzymatic and oxidative reactions as well as for microbiological proliferation is an important factor in the conservation, storage, and development of new food products. Adsorption and desorption steps at different temperatures act as important parameters used to further understand the behavior, response, and interference of moisture in the technological properties of food. This behavior can be observed using sorption isotherms. The use of by-products from maize processing has increased. Obtaining food from these materials depends on the technological analysis of these raw materials. The objective of this study was to show the benefits of a predictive experimental model of the sorption behavior of flours obtained from two different by-products of waxy corn wet-milling using the Dynamic Dewpoint Isotherm (DDI) method. The sorption profiles of flours at 20, 30, and 40 °C were estimated and mathematically fitted to different models. This study showed type III sorption curves (Thommes et al., 2015) behavior for both flours and the mathematical adequacy of different models. Numerical math methodology, with validated statistics, showed that the Peleg model is the best fit. The net isosteric heat of sorption estimated using the Clausius–Clapeyron equation, decreased in both flours when the moisture content of samples increased. Residual pattern analysis and linear graphical correlation of predicted models and experimental data showed that the scoring method using the interpolation of data obtained in the analyses of statistical factors and segregation using Sturges’ rule, is a viable way to determine the most suitable mathematical model to describe sorption curves.

MANAGEMENT OF THE BENEFIT

In the Victorian period, philosophers and economists argued with satisfaction "goodwill" as an indicatorof the general well-being of an individual. The benefit was portrayed as a numerical math of a person's happiness.According to this idea, it was natural to assume that the choices made by consumers were such as to maximize theprofit of the try, which means to make itself as happy as possible. The problem was related to the fact that theseclassical economists never really describe how they can profit. How could the "amount of benefit" be closely relatedto the choices and different solutions? Is the benefit of a person the double the benefit of an additional carrot? Doesthe concept make any sense of meaning apart from the meaning of maximizing people? Because of these conceptualproblems, economists have neglected the old point of view as a mate of happiness. Instead, the theory of consumerbehavior has been completely redesigned in relation to consumer preferences and the benefit is only seen as a way ofdetermining preferences. Gradually, economists began to admit that all the issues about the benefit of choosing achoice had to do with whether a basket had a higher benefit than another, but the higher it was not so important.Finally preferences were defined in terms of profit: to say that a basket was preferred to another basket, meant thatthe basket had a higher benefit than the other basket. This means that we are so inclined to think in a different wayabout these issues. Customer preferences are the basics useful to analyze the choice and usefulness is a way ofdescribing preferences.

WHEN CONDUCTING LABORATORY WORK USING THE MATHEMATICAL PACKAGE MAPLE FOR THE COURSE “COMPUTATIONAL MATHEMATICS“

Mathematics as a science arose in connection with the need to solve practical problems: measurements on the ground, navigation, etc. Because of this, mathematics has always been numerical math, its goal was to obtain a solution in the form of a number. The greatest scientists are Newton, Euler, Gauss, Chebyshev, etc. in his writings built mathematical models of the phenomenon of nature. Research and analysis of sophisticated models required the creation of new, usually, numerical or asymptotic methods for solving problems. According to the requirements of modernity, the emergence of ECMand their rapid development in all areas of science, so in the course of computational mathematics is closely connected with the use of new computer tools. Therefore, the article presents the tasks from the part “Numerical integration” of the course “Computational Mathematics” using a mathematical package Maple15.

PERANAN KEMAMPUAN VERBAL DAN KEMAMPUAN NUMERIK TERHADAP KEMAMPUAN BERPIKIR KRITIS MATEMATIKA

The purpose of this study to see the effect of verbal and numerical skills on critical thinking skills of mathematics, verbal ability to influence critical thinking skills of mathematics, numerical ability to influence critical thinking ability in mathematics. The method used is a survey where given a test of verbal ability, numerical kemamuan math and critical thinking skills. This research sample MIA class XI students in high schools in the city of Depok representing each district taken as many as 9 schools with a total sample of 360 respondents. Hypothesis testing using two-way ANOVA. Results of the study showed there are significant verbal and numerical ability jointly to the critical thinking skills of mathematics, there is the influence of the verbal skills of critical thinking skills matametika, there is the influence of numerical ability of the critical thinking skills of mathematics.

Estimation of uncertainty for problem solving by fuzzy mathematics tools

The occurrence of uncertainty should be taken into consideration at all stages of solving research problems, from assignment to evaluation. The aim of this paper is to show possibilities of processing and evaluation of experiment based on the analysis of uncertainty using fuzzy math. We will mainly focus on the cases where it is impossible to evaluate results of experiment using standard statistical methods, due to the small extent of the investigation file. For example, this situation occurs very often with specialized training, not only in technical colleges. The paper will also feature a sample of an evaluation experiment concerning the extent of realization of chosen teaching methods of numerical math, which took place in the previous academic year at the Transport Faculty of the University of Pardubice.

Numerical representation, math skills, memory, and decision-making

AbstractThe consideration of deliberate versus automatic processing of numeric representations is important to math education, memory for numbers, and decision-making. In this commentary, we address the possible roles for numeric representations in such higher-level cognitive processes. Current evidence is consistent with important roles for both automatic and deliberative processing of the representations.

Reduced-Order Modeling, Error Estimation, and the Role of the Start-Vector: The Recursive Residue Generation Method Revisited

The recursive residue generation method (RRGM) [Wyatt, R. E. Adv. Chem. Phys. 1989, 73, 231] is re-derived using the formalism of reduced-order modeling [Bai, Z. Appl. Numerical Math. 2002, 43, 9]. A stopping criteria for the RRGM recursions is proposed, on the basis of an expression for an upper bound to the absolute error [Bai, Z.; Ye, Q. Electron. Trans. Numerical Anal. 1998, 7, 1]. It is further pointed out that, in general, the start-vector has a negligible effect on the convergence of the RRGM.

Mathematical power tools

Swift solutions to engineering problems recompense the investor in a modern math package for its cost and the time spent learning to use it. Anywhere from 700 to 3000 functions can be handled by a wealth of quality software packages adorned with two- and three-dimensional plotting capabilities. The author discusses the benefits of using such programs in engineering. A list is given of some of the leading symbolic and numerical math software packages. The list includes a brief description of each package.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>