Quirino Sugon Jr, PhD

 I offer the following consultancy services: Mathematics and Physics Online Tutorials (Google Meet). I can tutor high school, undergraduate, and graduate level physics and mathematics courses. For Physics courses, my expertise are on Mechanics, Electrodynamics, and Optics. For Mathematics, my expertise are on Differential and Integral Calculus, Ordinary and Partial Differential Equations, Complex Analysis, Vector Analysis, Linear Algebra,  Geometric Algebra, and Clifford Analysis.    Manuscript and Book Editing . I can proofread manuscripts written in Google Docs, Microsoft Word, and LaTeX. My expertise is in scientific manuscripts and mathematics-heavy textbooks. I can also do developmental editing by pointing out unclear or missing discussions. Data Science Consultancy . I can discuss what equations and algorithms will be needed to analyze a particular data. I can work with programmers, statisticians, and technical writers.   Blog Writing. I can write well-researched blog posts on a

 You may contact me using the contact form, which you may access by clicking the hamburger icon at the blog's upper left hand corner. You may also email me directly. --Quirino Sugon Jr, PhD

 Dr. Quirino Sugon Jr graduated with degrees of BS in Physics (1997), MS  in Physics (1999), and PhD in Physics (2010) from  Ateneo de Manila University . He taught physics for more than 20  years, starting at the University of St. La Salle from 1999 to 2002. He taught at Ateneo de Manila University from 2004 to 2007 as Instructor and from 2010 to 2023 as Assistant Professor. He also taught at the Department of Aerospace Engineering of Ateneo de Davao University as a guest faculty in 2020.  At  Manila Observatory , Dr. Sugon served as the Head of the Upper Atmosphere Dynamics Laboratory from 2010 to 2018, where he worked on space weather research using MAGDAS magnetometers, FMCW radars, and GPS satellites. In 2017, he came back to Ateneo de Manila University after a 9-month research work as Associate Professor at the International Center for Space Weather Science and Education (ICSWSE) at  Kyushu University  in order to study equatorial electrojets and seismo-electromagnetics. He serve

Volume of a Cylinder  The volume \(V\) of a cylinder with radius \(r\), height \(h\) is given by \[V = \pi r^2 h.\] Notice that we have three parameters. If we hold one of them to be constant, then we can obtain the relationship between the other two parameters, especially if one of these two parameters is uniformly or linearly increasing, i.e., a linear function of a set of integers \(k =\{0, 1, 2, \ldots, n\}\), where \(n\) is an arbitrary integer ideally greater than or equal to 3.  Let us consider three cases: constant volume, constant radius, and constant height. Each of these cases will have two sub-cases, with each sub-case dictating the design of a row of Montessori knobbed cylinders. Thus, in principle, you can design a total of 6 rows of knobbed cylinders, with each row containing \(n\) cylinders. 1. Constant volume \(V\) If the volume \(V=V_0\) is constant, then the radius \(r\) of the cylinder is inversely proportional to the square root of the height \(h\): \[r =\sqrt{\fra

Fig. 1. Overleaf's user interface for the Optica journal template. The menu button is at the upper left corner.  Newsletter: Volume 1, Issue 1 (Feb 2023)  Topic: Research Contents: Optica's directions for downloading LaTeX files Overleaf's menu button for downloading source files My rendered LaTeX code using pdflatex in TeXworks I was using the free Overleaf account and one of its deal-breaking restrictions is the one-minute compile time. I can increase the compile time to 4 min if I get the Personal (USD 129), Standard (USD 199), and or Professional (  USD 399) Overleaf plan .  If your project has too many figures and style files, Overleaf would need more time to compile it, which can exceed the 1 minute mark.  One way to go around these restrictions is to compile your LaTeX code in your computer using the journal style files from Overleaf. Optica, for example, states that this manual compilation is possible: Choose the journal-specific "Access on Overleaf" link