Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Duality (4)
- Girard’s theorem (4)
- Great circle (4)
- Hamiltonian cycle (4)
- Intermediate value theorem (4)
-
- Platonic solids (4)
- Spherical geometry (4)
- BRFSS (1)
- Boxplot (1)
- Dot plot (1)
- Frequent mental distress (1)
- Gaussian interval plot (1)
- Least squares method (1)
- Lifestyle (1)
- Mental health (1)
- Normal equations (1)
- Partial derivatives (1)
- Positive definite matrix (1)
- Summary ellipse (1)
- United States (1)
- Weighted average (1)
Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 4: Models Of N-Cov, Jyotirmoy Sarkar, Mamunur Rashid
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 4: Models Of N-Cov, Jyotirmoy Sarkar, Mamunur Rashid
Mathematics Faculty Publications
What is the shape of the novel coronavirus (n-CoV) which has turned our world upside down? Even though under a microscope, it looks dull, unattractive, and even disgusting, creative artists have attributed to it bright colors, made it look pretty, and depicted it as a thing of beauty. What can a mathematician contribute to this effort? We take a purist’s point of view by imposing on it a quasi-symmetry and then deriving some consequences. In an idealistic world, far removed from reality but still constrained by the rules of mathematics, anyone can enjoy this ethereal beauty of the mind’s creation, …
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 3: Spherical Triangles, Jyotirmoy Sarkar, Mamunur Rashid
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 3: Spherical Triangles, Jyotirmoy Sarkar, Mamunur Rashid
Mathematics Faculty Publications
What is the shape of the novel coronavirus (n-CoV) which has turned our world upside down? Even though under a microscope, it looks dull, unattractive, and even disgusting, creative artists have attributed to it bright colors, made it look pretty, and depicted it as a thing of beauty. What can a mathematician contribute to this effort? We take a purist’s point of view by imposing on it a quasi-symmetry and then deriving some consequences. In an idealistic world, far removed from reality but still constrained by the rules of mathematics, anyone can enjoy this ethereal beauty of the mind’s creation, …
Estimating The Parameters Of A Simple Linear Regression Model Without Using Differential Calculus, Mamunur Rashid, Jyotirmoy Sarkar
Estimating The Parameters Of A Simple Linear Regression Model Without Using Differential Calculus, Mamunur Rashid, Jyotirmoy Sarkar
Mathematics Faculty Publications
To estimate the parameters of a simple linear regression model, students who already know calculus can minimize the total squared deviations by setting its first-order partial derivatives to zero and solving simultaneously. For students who do not know calculus, most teachers/textbooks simply state the formulas without justifying them. Students accept the formulas on faith; and for given data, they evaluate the estimates using a calculator or a statistical software. In this paper, we justify the formulas without invoking calculus. We hope the users of statistics will benefit from our proposed justifications.
Visualizing Bivariate Statistics Using Ellipses Over A Scatter Plot, Mamunur Rashid, Jyotirmoy Sarkar, Siddhanta Phuyal
Visualizing Bivariate Statistics Using Ellipses Over A Scatter Plot, Mamunur Rashid, Jyotirmoy Sarkar, Siddhanta Phuyal
Mathematics Faculty Publications
A scatter plot shows the relationship between two quantitative variables 𝒙 and 𝒚. Sometimes, we can predict one variable as a linear function of the other using the least squares regression lines of 𝒚 on 𝒙 or 𝒙 on 𝒚. These two regression lines together suffice to identify the mean vector, the coefficient of determination, the correlation coefficient, and the ratio of the standard deviations (SD). So, do our proposed summary ellipses. Additionally, the inner ellipse reveals the SDs and the outer ellipse flags potential outliers.
Mathematical Musings On The External Anatomy Of The Novel Coronavirus Part 2: Chasing After Quasi-Symmetry, Jyotirmoy Sarkar, Mamunur Rashid
Mathematical Musings On The External Anatomy Of The Novel Coronavirus Part 2: Chasing After Quasi-Symmetry, Jyotirmoy Sarkar, Mamunur Rashid
Mathematics Faculty Publications
What is the shape of the novel Coronavirus which has turned our world upside down? Even though it looks dull, unattractive, and even disgusting under a microscope, creative artists have attributed to it bright colors, made it look pretty, and depicted it as a thing of beauty. What can a mathematician contribute to this effort? We take a purist’s point of view by imposing on it a quasi-symmetry and then deriving some consequences. In an idealistic world, far removed from reality but still constrained by the rules of mathematics, anyone can enjoy this ethereal beauty of the mind’s creation, beckoning …
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 1: The Overall Shape Of The N-Cov, Jyotirmoy Sarkar, Mamunur Rashid
Mathematical Musings On The External Anatomy Of The Novel Coronavirus. Part 1: The Overall Shape Of The N-Cov, Jyotirmoy Sarkar, Mamunur Rashid
Mathematics Faculty Publications
What is the shape of the novel coronavirus which has turned our world upside down? Even though under a microscope it looks dull, unattractive, and even disgusting, creative artists have attributed to it bright colors, made it look pretty, and depicted it as a thing of beauty. What can a mathematician contribute to this effort? We take a purist’s point of view by imposing on it a quasi-symmetry and then deriving some consequences. In an idealistic world, far removed from reality but still obeying the rules of mathematics, anyone can enjoy this ethereal beauty of the mind’s creation, beckoning others …
Frequent Mental Distress Among Adults In The United States And Its Association With Socio-Demographic Characteristics, Unhealthy Lifestyle, And Chronic Physical Health Status, Mamunur Rashid, M. Mazharul Islam, Aiping Li, Naima Shifa
Frequent Mental Distress Among Adults In The United States And Its Association With Socio-Demographic Characteristics, Unhealthy Lifestyle, And Chronic Physical Health Status, Mamunur Rashid, M. Mazharul Islam, Aiping Li, Naima Shifa
Mathematics Faculty Publications
Frequent mental distress (FMD) is a measure of poor mental health days for at least 14 days out of 30 days. It is one of the important dimensions of the health-related quality of life. The underlying causes of FMD are diverse. However, the issue has not been explored extensively due to the lack of reliable data on mental health. The aim of this study was to examine the level and trends of FMD among the adults of the United States (US) and identify the socio-demographic, lifestyles, and chronic health outcomes related correlates of FMD. The data for the study was …