When engineers build AI language models like GPT-5 from training data, at least two major processing features emerge: memorization (reciting exact text they’ve seen before, like famous quotes or ...

ABSTRACT: In this paper, our purpose is to establish a common fixed point result for a pair of self-mappings satisfying some generalized cyclic contraction type conditions involving altering distance ...

Using HDL, from Boolean algebra and elementary logic gates to building a Central Processing Unit, a memory system, and a hardware platform, leading up to a 16-bit general-purpose computer. Then, ...

Logic gates process data and generate outputs using Boolean algebra and truth tables (Figure 1) to define operations for all binary input combinations: 0 (false, low) and 1 (true, high). Figure 1. A ...

Bash scripting is a powerful tool for automating tasks on Linux and Unix-like systems. While it's well-known for managing file and process operations, arithmetic operations, such as division, play a ...

This repository contains a Python script that calculates the digits of π (pi) using a novel algorithm based on Catalan numbers and fixed-point arithmetic. The algorithm efficiently computes the digits ...

Introduction: Arithmetic calculation is a fundamental skill for mathematical learning and daily life. However, elementary school students often make errors in practice. Methods: Grounded in the schema ...

Suppose you were asked to design an abridged computer science (CS) program consisting of just three courses. How would you go about it? The first course would probably be an introduction to computer ...