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programmingmadecomplicated.wordpress.com
| | fbeedle.com
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| | This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science.
| | kuruczgy.com
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| | [AI summary] The article explores the intersection of functional programming and logic through the lens of dependent types. It begins with foundational concepts like type constructors and inductive types, then delves into the Curry-Howard isomorphism, which links programs to mathematical proofs. The discussion covers how types represent propositions, functions as implications, and inductive types as proof strategies. Examples include defining logical relations like less than or equal to and equality, and demonstrating how to prove properties like universal quantification and mathematical identities. The article concludes with an overview of resources for further study in proof assistants like Coq and Idris, emphasizing the practical applications of dependent...
| | slightknack.dev
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| | A cozy little corner of the web.
| | www.preposterousuniverse.com
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| [AI summary] The text discusses the implications of quantum mechanics and the concept of expected energy in quantum systems. It highlights the difference between the average energy of a quantum state and the energy of the system post-measurement, emphasizing that the former is a statistical average while the latter is determined by the measurement outcome. The discussion also touches on the broader context of quantum theory, including the role of measurement and the probabilistic nature of quantum states. Additionally, it references the importance of energy in physical processes and the connection to classical thermodynamics, suggesting that while quantum mechanics provides a framework for understanding energy at a fundamental level, classical concepts still...