Pub Date : 2019-09-25DOI: 10.32861/ajams.59.130.135
U. Essiett, J. Okon, C D Anyasodor
The leaf, stem and flowers of Luffa aegyptiaca were screened for their phytochemical and physicochemical properties. The phytochemical evaluation of the leaf, stem and flowers revealed the presence of saponins, tannins and cardiac glycosides. Alkaloids were only present in the flowers. Cyanogenetic glycosides and phlobatannin were absent in the leaf and stem respectively. The nutrient value shows that the leaves contain 10.01% of moisture, 0.78% of crude protein, 2.40% of lipids, 14.61% of crude fibre, 3.65%of ash and 48.02% of carbohydrate. The stem contain7.02% of moisture, 3.01% of crude protein, 4.50% of lipids, 8.10% of crude fibre, 2.50% of ash and 61% of carbohydrate. While the flowers contain4.01% of moisture, 0.5% of crude protein, 5.1% of lipids, 7.01% of crude fibre, 1.5% of ash and 45.1% of carbohydrate. These findings prove that Luffa aegyptiaca contains bioactive compounds that may be useful in nutrition and explains its popular use in traditional medicine in Nigeria.
{"title":"On Number of k-Element in Open and Clopen Topological Space With Corresponding Graph for n≤4","authors":"U. Essiett, J. Okon, C D Anyasodor","doi":"10.32861/ajams.59.130.135","DOIUrl":"https://doi.org/10.32861/ajams.59.130.135","url":null,"abstract":"The leaf, stem and flowers of Luffa aegyptiaca were screened for their phytochemical and physicochemical properties. The phytochemical evaluation of the leaf, stem and flowers revealed the presence of saponins, tannins and cardiac glycosides. Alkaloids were only present in the flowers. Cyanogenetic glycosides and phlobatannin were absent in the leaf and stem respectively. The nutrient value shows that the leaves contain 10.01% of moisture, 0.78% of crude protein, 2.40% of lipids, 14.61% of crude fibre, 3.65%of ash and 48.02% of carbohydrate. The stem contain7.02% of moisture, 3.01% of crude protein, 4.50% of lipids, 8.10% of crude fibre, 2.50% of ash and 61% of carbohydrate. While the flowers contain4.01% of moisture, 0.5% of crude protein, 5.1% of lipids, 7.01% of crude fibre, 1.5% of ash and 45.1% of carbohydrate. These findings prove that Luffa aegyptiaca contains bioactive compounds that may be useful in nutrition and explains its popular use in traditional medicine in Nigeria.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131462244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-08-31DOI: 10.32861/ajams.58.124.129
T. Kalanov
The critical analysis of the foundations of the differential calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that differential calculus is fictitious mathematical theory because the concept of the limiting process is the starting point for definition of the derivative function. The passage to the limit “zero” in the definition of the derivative function signifies that the variable quantity takes the only essential value “zero”. This fact leads to the following errors. (1) The definition of the derivative function is based on the violation of the necessary and sufficient condition for the validity of the relationship between the increment of the function argument and the increment of the function because the increment of the function is divided by the zero increment of the argument in the case of the limiting process. (2) The definition of the derivative function is based on the contradiction which is that the increment of the argument is both zero and not zero in the same relationship. This contradiction represents a violation of the formal-logical law of identity and of the formal-logical law of the lack of contradiction. (3) The definition of the differential of function is based on two contradictory (mutually exclusive) features: the differential of the argument is not zero while the increment of the argument in the definition of the derivative function is zero.
{"title":"Definition of Derivative Function: Logical Error in Mathematics","authors":"T. Kalanov","doi":"10.32861/ajams.58.124.129","DOIUrl":"https://doi.org/10.32861/ajams.58.124.129","url":null,"abstract":"The critical analysis of the foundations of the differential calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that differential calculus is fictitious mathematical theory because the concept of the limiting process is the starting point for definition of the derivative function. The passage to the limit “zero” in the definition of the derivative function signifies that the variable quantity takes the only essential value “zero”. This fact leads to the following errors. (1) The definition of the derivative function is based on the violation of the necessary and sufficient condition for the validity of the relationship between the increment of the function argument and the increment of the function because the increment of the function is divided by the zero increment of the argument in the case of the limiting process. (2) The definition of the derivative function is based on the contradiction which is that the increment of the argument is both zero and not zero in the same relationship. This contradiction represents a violation of the formal-logical law of identity and of the formal-logical law of the lack of contradiction. (3) The definition of the differential of function is based on two contradictory (mutually exclusive) features: the differential of the argument is not zero while the increment of the argument in the definition of the derivative function is zero.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126418417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-08-20DOI: 10.32861/ajams.58.114.123
Echavarría Cepeda Lenin Augusto, Díaz Barron Luis Rey, Hernández Vargas Yazpik
Several studies have shown that there is a positive correlation between self-regulation and the academic performance of students. Self-regulated learning is the set of processes that the learners deploy to achieve their personal goals and that have to do with the learning strategies they use, with the answers they offer when evaluating the effectiveness of learning and with the motivations they have. To this end, the Study and Research Paths (SRPs) strategy is proposed to encourage better self-regulation processes in the students of the Unidad Profesional Interdisciplinaria de Ingeniería Campus Guanajuato (UPIIG) of the Instituto Politécnico Nacional (IPN). This strategy was proposed by Yves Chevallard within the framework of the Anthropological Theory of the Didactic and the World Questioning Paradigm. Students of the courses of Numerical Methods and Numerical Analysis of the academic programs of engineering in: Aeronautics, Automotive Systems, Biotechnology and Pharmaceutical formed the study group. This research work presents the analysis of the results of the initial phase of the measurement of the evolution of the self-regulatory processes that students use in the development of engineering projects that need the application of numerical methods for the analysis of situations, the decision making and the development of new products.
{"title":"Self-regulation in Mathematics Courses for Engineering Based on Study and Research Paths","authors":"Echavarría Cepeda Lenin Augusto, Díaz Barron Luis Rey, Hernández Vargas Yazpik","doi":"10.32861/ajams.58.114.123","DOIUrl":"https://doi.org/10.32861/ajams.58.114.123","url":null,"abstract":"Several studies have shown that there is a positive correlation between self-regulation and the academic performance of students. Self-regulated learning is the set of processes that the learners deploy to achieve their personal goals and that have to do with the learning strategies they use, with the answers they offer when evaluating the effectiveness of learning and with the motivations they have. To this end, the Study and Research Paths (SRPs) strategy is proposed to encourage better self-regulation processes in the students of the Unidad Profesional Interdisciplinaria de Ingeniería Campus Guanajuato (UPIIG) of the Instituto Politécnico Nacional (IPN). This strategy was proposed by Yves Chevallard within the framework of the Anthropological Theory of the Didactic and the World Questioning Paradigm. Students of the courses of Numerical Methods and Numerical Analysis of the academic programs of engineering in: Aeronautics, Automotive Systems, Biotechnology and Pharmaceutical formed the study group. This research work presents the analysis of the results of the initial phase of the measurement of the evolution of the self-regulatory processes that students use in the development of engineering projects that need the application of numerical methods for the analysis of situations, the decision making and the development of new products.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117195094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-10DOI: 10.32861/ajams.67.145.152
T. A. Adefemi
Graphical method and mathematical formula are the two approaches for estimating measures of location. Understanding of many instructors of introductory statistics classes are: mean cannot be graphically determined and numerical (formula) approach is more precise than geometrical technique. Contrary to their understanding, this study estimate mean of a dataset geometrically (from histogram) by determining the centroid of histogram drawn from such data set. In addition, we also make known that mathematical formulas for mean, median and mode were derived geometrically (either from ogive or histogram). Finally, the research illustrated the two techniques with a survey data and established that the two approaches produce same results.
{"title":"Statistical Measures of Location: Mathematical Formula Versus Geometric Approach","authors":"T. A. Adefemi","doi":"10.32861/ajams.67.145.152","DOIUrl":"https://doi.org/10.32861/ajams.67.145.152","url":null,"abstract":"Graphical method and mathematical formula are the two approaches for estimating measures of location. Understanding of many instructors of introductory statistics classes are: mean cannot be graphically determined and numerical (formula) approach is more precise than geometrical technique. Contrary to their understanding, this study estimate mean of a dataset geometrically (from histogram) by determining the centroid of histogram drawn from such data set. In addition, we also make known that mathematical formulas for mean, median and mode were derived geometrically (either from ogive or histogram). Finally, the research illustrated the two techniques with a survey data and established that the two approaches produce same results.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"298 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120941552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-05DOI: 10.32861/AJAMS.57.76.100
Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva
In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.
本文给出了求解两层矩形平行六面体区域中二阶抛物方程三维非定常边值问题的一种解析方法。
{"title":"Investigation of the Trace Elements Concentrations Dynamics in a Horizontal Layered Fine-Pore Peat Blocks of Mires Fed By Groundwater and Springs","authors":"Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva","doi":"10.32861/AJAMS.57.76.100","DOIUrl":"https://doi.org/10.32861/AJAMS.57.76.100","url":null,"abstract":"In the present paper, we propose an analytical approach for solving the 3D unsteady-state boundary-value problem for the second-order parabolic equation with the second and third types boundary conditions in two-layer rectangular parallelepipedic domain.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"152 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123371998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-07-05DOI: 10.32861/AJAMS.57.101.113
Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva
In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.
{"title":"On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order","authors":"Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva","doi":"10.32861/AJAMS.57.101.113","DOIUrl":"https://doi.org/10.32861/AJAMS.57.101.113","url":null,"abstract":"In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115046764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we discuss the Fekete-Szegö functional (Equation) which is defined by coefficients of the function (Equation) for the analytic and univalent function .......................
{"title":"The Fekete-Szegö Problem for the Logarithmic Function of the Starlike and Convex Functions","authors":"N. Mustafa, Muherrem C. Gündüz","doi":"10.32861/ajams.56.69.75","DOIUrl":"https://doi.org/10.32861/ajams.56.69.75","url":null,"abstract":"In this paper, we discuss the Fekete-Szegö functional (Equation) which is defined by coefficients of the function (Equation) for the analytic and univalent function .......................","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123268016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.
{"title":"The Real Representation of Canonical Hyperbolic Quaternion Matrices and Its Applications","authors":"Minghui Wang, Lingling Yue, Situo Xu, Rufeng Chen","doi":"10.32861/ajams.56.62.68","DOIUrl":"https://doi.org/10.32861/ajams.56.62.68","url":null,"abstract":"In this paper, we construct the real representation matrix of canonical hyperbolic quaternion matrices and give some properties in detail. Then, by means of the real representation, we study linear equations, the inverse and the generalized inverse of the canonical hyperbolic quaternion matrix and get some interesting results.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124438902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study focuses on Monte Carlo Methods in parameter estimation of production function. The ordinary least square (OLS) method is used to estimate the unknown parameters. The Monte Carlo simulation methods are used for the data generating process. The Cobb-Douglas production model with multiplicative error term is fitted to the data generated. From tables 1.1 to 1.3, the mean square error (MSE) of 1 are 0.007678, 0.001972 and 0.001253 respectively for sample sizes 20, 40 and 80. Our finding showed that the mean square error (MSE) value varies with the sum of the powers of the input variables.
{"title":"Econometric Estimation of Production Function with Applications","authors":"Awoingo Adonijah Maxwell, I. D. Essi","doi":"10.32861/AJAMS.56.57.61","DOIUrl":"https://doi.org/10.32861/AJAMS.56.57.61","url":null,"abstract":"This study focuses on Monte Carlo Methods in parameter estimation of production function. The ordinary least square (OLS) method is used to estimate the unknown parameters. The Monte Carlo simulation methods are used for the data generating process. The Cobb-Douglas production model with multiplicative error term is fitted to the data generated. From tables 1.1 to 1.3, the mean square error (MSE) of 1 are 0.007678, 0.001972 and 0.001253 respectively for sample sizes 20, 40 and 80. Our finding showed that the mean square error (MSE) value varies with the sum of the powers of the input variables.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121793513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper introduces a new generalization of moment exponential (or length biased) distribution. The new model is referred to as generalized transmuted moment exponential distribution. This model contains some new existing distributions. Structural properties of the suggested distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi entropy are derived. Maximum likelihood estimation is employed to obtain the parameter estimators of the new distribution. We illustrate the importance of the new model by means of three applications to real data sets.
{"title":"A Generalized Transmuted Moment Exponential Distribution: Properties and Application","authors":"A. Hassan, I. B. Abdul-Moniem, Khater A. E. Gad","doi":"10.32861/ajams.65.41.52","DOIUrl":"https://doi.org/10.32861/ajams.65.41.52","url":null,"abstract":"This paper introduces a new generalization of moment exponential (or length biased) distribution. The new model is referred to as generalized transmuted moment exponential distribution. This model contains some new existing distributions. Structural properties of the suggested distribution including closed forms for ordinary and incomplete moments, quantile and generating functions and Rényi entropy are derived. Maximum likelihood estimation is employed to obtain the parameter estimators of the new distribution. We illustrate the importance of the new model by means of three applications to real data sets.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124480554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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