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Resources: The Concept: Quantum Feature Maps In classical machine learning, a “kernel trick” is often used to map data into a higher-dimensional space. Quantum computers provide a natural way to do this: Feature Map The process of encoding a classical input vector \( \vec{x} \) into a quantum state \( |\Phi(\vec{x})\rangle \) acts as a ... Read More

In linear algebra, the dot product (or inner product) is specifically used for vectors. It takes two vectors of the same dimension and results in a single scalar value (a number). 1. Geometric Definition Geometrically, the dot product measures the overlap or projection of one vector onto another. a · b = ||a|| ||b|| cos(θ) ... Read More

E. Tang, “A quantum-inspired classical algorithm for recommendation systems,” in Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, Jun. 2019, pp. 217–228. doi: 10.1145/3313276.3316310.\ “Introduction | IBM Quantum Learning,” IBM Quantum Learning, 2021. https://quantum.cloud.ibm.com/learning/en/courses/quantum-machine-learning/introduction (accessed Feb. 20, 2026). Paper Summary: Classical Analogue to Quantum Recommendation Systems Author: Ewin Tang Key Finding: The ... Read More

Book Calculus by Thomas/Finney, 9th Edition, Page 282 Understanding Initial Value Problems in Calculus When studying differential equations in calculus, we often encounter something called an Initial Value Problem (IVP). While differential equations describe entire families of functions, an initial value problem helps us find one specific solution that fits a given condition. What Is ... Read More

https://wordnet.princeton.edu https://direct.mit.edu/books/edited-volume/1928/WordNetAn-Electronic-Lexical-Database Wordnet is a lexical database for English.

Book: Statistics – An Introduction (4th Edition) – Roger E. Kirk What is statistics? Why statistics? Basic Concepts Terms: Types of Statistics: Descriptive and Inferential Random Sampling – draw sample from population; chance of drawing sample has equal chance Characteristics: Variable and Constant Measurment: Assign number to characteristics of people etc.

https://en.wikipedia.org/wiki/Graph_(discrete_mathematics) https://algs4.cs.princeton.edu/41graph https://au.mathworks.com/help/matlab/math/directed-and-undirected-graphs.html https://mathinsight.org/definition/undirected_graph https://medium.com/basecs/a-gentle-introduction-to-graph-theory-77969829ead8 https://www.jsums.edu/nmeghanathan/files/2015/05/CSC434-Fall2014-Module-1-Graph-Theory-Basics.pdf