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2024-02-152024-02-15438 words 3 mins

MicroPython Function Library

Machine - Hardware Related Functions Pin Class machine.Pin(id, mode=None, pull=None, value) Pin object constructor id: GPIO number (0-29 for Pico) mode: Pin mode, options: None, Pin.IN(0), Pin.OUT(1), Pin.OPEN_DRAIN(2) pull: Internal pull-up/down resistor (only valid in input mode), options: None, …
2024-01-052024-01-05825 words 4 mins

2023 Year in Review

Tags: Slacking off, Mediocrity, Daydreaming, Escapism, Solitude, Certainty
2023-12-272023-12-271180 words 6 mins

Real Number Construction Reading Report

Foundations of Real Numbers Book Report Taking advantage of this mathematical analysis assignment, I’d like to document the construction of real numbers. The establishment of real numbers forms part of the foundational theories in mathematics, intersecting with multiple branches such as …
2023-12-202023-12-20682 words 4 mins

The Relationship Between the Residue Theorem and Laurent Series, Higher-Order Derivative Formulas, and Cauchy's Integral Formula

1. Residue Theorem The Residue Theorem is a pivotal result in complex function theory, built upon the concept of residues. Its core idea states that if a function is analytic everywhere on and within a closed contour enclosing isolated singularities, the integral around the contour equals the sum …
2023-12-182023-12-18238 words 2 mins

The Traveler and the Flower

A lovely traveler passed by a landscape that no one appreciated. She brought with her an exotic warm breeze that swept across the parched fields, brushed the treetops, and rippled the lake into a shimmering glow. The fruit trees, utterly enchanted by this beauty, hurriedly blossomed and bore fruit; …
2023-12-152023-12-15299 words 2 mins

Independence and Mutual Independence

When I did something wrong, it didn’t feel irrevocable at the time. Eighteen years of wandering taught me that nothing is worth regretting—all outcomes, good or bad, are merely inevitable steps in the process of growth. In other words, they are predestined, they are “meant to be.” …
2023-12-122023-12-121065 words 5 mins

Data Structure Lab Report 8 - Critical Path

a. Problem Analysis In the Critical Path Method (CPM), we need to identify the critical path in a project, which is the sequence of activities that determines the project’s total duration. To solve this problem, we first construct a data structure Activity to represent project activities and …
2023-12-122023-12-122301 words 11 mins

Data Structure Lab Report 7 – Kruskal's Algorithm and the Minimum Spanning Tree Problem, Dijkstra's Algorithm and the Shortest Path Problem in Weighted Graphs

Kruskal’s Algorithm for Generating Minimum Spanning Trees a Problem Analysis We need to use Kruskal’s algorithm to find the minimum spanning tree (MST) for a graph with 10 nodes and 20 edges. Kruskal’s algorithm is based on a greedy approach, constructing the MST by iteratively …
2023-12-122023-12-121375 words 7 mins

Data Structure Lab Report 6 — Threading Binary Trees with Preorder and Postorder Traversals, Adjacency Matrix and Adjacency List Storage for Graphs

Threading a Binary Tree in Pre-order and Post-order a. Problem Analysis We need to implement pre-order threading of a binary tree. Threading is a method that converts null pointer fields in a binary linked list into pointers pointing to the predecessor or successor node of the current node in a …
2023-12-122023-12-121436 words 7 mins

Data Structure Lab Report 5 - Huffman Tree Encoding and Decoding, Construction and Node Deletion of Binary Search Tree

Implementing Huffman Tree Encoding and Decoding a. Problem Analysis Objective: Implement Huffman tree encoding and decoding. Key Questions: Is the Huffman tree construction process correct? Are the Huffman codes generated accurately? Does the encoding and decoding process function correctly? Can …