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Patterns | Codaholic
| | blog.lambdaclass.com
All you wanted to know about Plonk
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| | Introduction Zero-knowledge proofs, also known as ZKPs, are becoming popular due to their numerous applications in delegating computations to untrusted servers and addressing scalability issues in decentralized ledgers. By using ZKPs, we can prove the validity of a given computation without revealing sensitive information, and the proof is short and
| | www.leviathansecurity.com
Encoding Bitwise Functions as Polynomials - Leviathan Security Group - Penetration Testing, Security Assessment, Risk Advisory
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| | Using polynomials to represent Boolean functions, see how they can be solved using generic math, analyze the properties of the representation, and use them to construct an arithmetic logic unit (ALU).
| | danilafe.com
Digit Sum Patterns and Modular Arithmetic
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| | In this article, we explore the patterns created by remainders from division.
| | mathscholar.org
Simple proofs: The fundamental theorem of calculus « Math Scholar
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| [AI summary] The text presents a detailed, self-contained proof of the Fundamental Theorem of Calculus (FTC) using basic principles of calculus and real analysis. It breaks the proof into two parts: Part 1 establishes that the integral of a continuous function defines a differentiable function whose derivative is the original function, and Part 2 shows that the definite integral of a continuous function can be computed as the difference of an antiderivative evaluated at the endpoints. The proof relies on lemmas about continuity, differentiability, and the properties of integrals, avoiding advanced techniques. The text is structured to provide a clear, step-by-step derivation of the FTC for readers familiar with calculus fundamentals.