Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...
THESE books are intended for the use of teachers who instruct their classes orally in the processes and rules of arithmetic, and who only require the assistance of graduated sets of exercises. In the ...
PM is an IBM 7094 program system for formal manipulation of polynomials in any number of variables, with integral coefficients unrestricted in size. Some of the formal opeartions which can be ...
Special thanks to Dankrad Feist, Karl Floersch and Hsiao-wei Wang for feedback and review. Perhaps the most powerful cryptographic technology to come out of the last decade is general-purpose succinct ...
After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.” The conjecture describes the set ...
Dirichlet polynomials, a fundamental concept in number theory, have been a subject of significant interest in the mathematical community for over a century. These polynomials, named after Peter Gustav ...
Automated Synthesis of Target-Dependent Programs for Polynomial Evaluation in Fixed-Point Arithmetic
Abstract: The design of both fast and numerically accurate programs is a real challenge. Thus, the CGPE tool was introduced to assist programmers in synthesizing fast and numerically certified codes ...
Large language models (LLMs) have revolutionized natural language processing (NLP) by excellently creating and understanding human-like text. However, these models often need to improve when it comes ...
",""," This polynomial \\( x^2 + 2xy + y^2 \\) can be rewritten as:"," "," {x^2 + 2xy + y^2}"," "," "," Also for \\( x^5 + 5x^4 + 10x^3 + 10x^2 + 5x + 1 ...
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