Justified by Grace (Romans 3:23-24)

If I were ever asked to summarize the message of the Bible in one sentence, I would point to Romans 3:23-24: 23 for all have sinned, and come short of the glory of God; 24 being justified freely by his grace through the…

Heiser’s Introduction to the Unseen Realm

I decided to re-read Michael Heiser’s principal work: The Unseen Realm: Recovering the supernatural worldview of the Bible (2015). This book had been in print for a while, but I purchased and read it earlier this year. As with a good deal…

Favorite “Dogma” Quotes

This is just a compilation of some of my favorite quotes from “Dogma”. While this is not the most appropriate movie, it’s script has interesting theology on some topics such as… On plenary indulgence: –This is church law, it’s not…

Palabras puertorriqueñas

Ésta es una lista de palabras puertorriqueñas que yo uso y que he escuchado a otros usar. Intento incluir palabras que sean exclusivas de Puerto Rico o que hayan tenido su orígen en Puerto Rico. a chavo* – se refiere…

Intro to Differential Equations

This is the first in a series of posts I plan on writing about Engineering Mathematics. It assumes prior knowledge of Calculus. An equation that contains derivatives of one or more functions is called a differential equation. Consider the equation…

Classical Greek Lesson 2- Accents

Accent Marks Ancient Greek was spoken with variations in pitch. During the 3rd Century B.C., Aristophanes of Byzantium developed a series of accent marks to help non-native Greek speakers pronounce the pitch variations of the language. These accent marks are…

Classical Greek Lesson 1- Alphabet

Notes These notes correspond to an upcoming course I am preparing in Classical Greek. This course will follow Anne Groton’s From Alpha to Omega: A Beginning Course in Classical Greek. Buy here. Background Greek is an Indo-European language that has…

Manning’s Equation Calculator

This is a simple script that computes normal flow for pipes and rectangular channels. I wrote this on JavaScript at some point when I needed to determine flow capacities for pipes. Shape: CircularRectangular Diameter, d (ft) Roughness, n Slope, s…