The Silent Afterlife of Open Technical Work
The Silent Afterlife of Open Technical Work Back when I was studying civil engineering, I kept running into the same problem. Solving structural questions wa...
Blog
Technical writing on mathematics, machine learning, engineering, BIM, and software projects.
Radial Basis Functions
Radial Basis Functions A radial basis function (RBF) is a function whose value depends only on distance from a center point. General form: $ \phi(x) \phi(\ x...
Type Theory
Type Theory from a Set Theoretic Perspective In early type theory and logic, expressions like $ \{x \mid x \neq x\} $ describe a collection of objects satisf...
Yoneda Lemma
A Simple Intuition for Understanding the Yoneda Lemma The Yoneda Lemma says: An object is determined by how every other object maps into it. Instead of study...
Shell based design exploration
Shell based design exploration Recently, I have been learniing about shell based design and its applications in architecture. I have been exploring the geome...
Radar in Mobius Space
Radar in Mobius Space The Mobius strip is a fascinating mathematical object that has only one side and one edge. It can be created by taking a rectangular st...
Shapiro-Wilk and Kruskal-Wallis Tests
A practical guide to testing normality with Shapiro-Wilk and comparing independent groups with the Kruskal-Wallis rank test.
Constitutive Modelling of Sands
Soil Constitutive Modelling Soil constitutive modelling defines how soil responds to stress, strain, and environmental conditions. It provides mathematical r...
Euler-Bernoulli Beam Theory
Euler–Bernoulli bending moment derivation The Euler–Bernoulli beam theory relates bending moments to beam deflections. The key equation is: 1. Beam kinematic...
Neural Networks Cheat Sheet
Neural Networks Cheat Sheet Network Type Core Idea Key Components Typical Use Cases Notes Feedforward (MLP) One way flow input to output Dense layers, activa...
Derivative Introduction
Common derivative formulas The derivative of a function $f(x)$ is defined as: $ \frac{df}{dx} \lim {h \to 0} \frac{f(x+h) f(x)}{h} $ First derivatives of b...
Gauss-Seidel Method
Gauss Seidel Method Large linear systems appear frequently in scientific computing, engineering simulations, and optimization problems. Direct methods become...
Tupper's Self-Referential Formula
Tupper's Self Referential Formula Tupper’s self referential formula is a single inequality that, when graphed over a specific rectangle in the plane, can dis...
ICCEPM-2025 Cost Estimation
ICCEPM 2025 Cost Estimation Author: Syed Haseeb Shah, Park Jin A Inhan Kim .btn pill { @apply inline flex items center justify center h 12 w 48 px 6 whitespa...
Attention Is All You Need
Attention Is All You Need Goal Translate a sequence of tokens into another sequence using only attention , without any recurrence or convolution. Transformer...
Ubuntu/Windows 10 Door Knock Notifier
How to set up a door knock notifier using Arduino.
FreeCAD Tutorial
FreeCAD Tutorial Export Drawing to PDF Create A3 page in the drawing module and set views. Goto File Export PDF to to export. How to make reinforcement: Thes...
CDE-2025 Rule Checking
CDE 2025 Rule Checking Author: Syed Haseeb Shah, Inhan Kim, Hwang Kyung Eun .btn pill { @apply inline flex items center justify center h 12 w 48 px 6 whitesp...
SymPy Tutorial for Symbolic Mathematics in Python
A concise introduction to installing SymPy, defining symbolic variables, and performing symbolic mathematics in Python.
Configuring Git
How to configure git for version control and repository management.
Make a Neural Network Using Excel
Make a Neural Network Using Excel Excel Formulas Used Screenshots Download Download from here
Python String Formatting
Python String Formatting Set variable user to string "Alice". Set variable salary to float "200.25". 1. C Style String Formatting In this type of formatting...
Understanding IFC Files
Understanding IFC Files Industry Foundation Classes (IFC) are an open, standardized data model for representing information in the Architecture, Engineering,...
Beam Theory Calculus with Python
Beam Theory Calculus with Python With Python Sympy Installing Dependencies The Problem Solve for Shear Force, Bending Moment and Deflection/Elastic Curve. Re...