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Computing all roots of a function with square-root terms

Given $3n$ positive numbers $a_1, \ldots, a_n$, $b_1, \ldots, b_n$, and $x_1, \ldots, x_n$, we are given a function $$f(x) = \sum_{i = 1}^n \frac{a_i}{\sqrt{(x - x_i)^2 + b_i}}.$$ Can we find all the ...
Abheek Ghosh's user avatar
3 votes
1 answer
315 views

About Shor's quantum algorithm

I know very little about quantum computing, and I've been trying to understand Shor's algorithm for the factorization of an integer $N$. I'm following Computational Complexity — a modern approach by ...
Pierre's user avatar
  • 2,287
1 vote
1 answer
91 views

Algorithms for Polynomials Over a Real Algebraic Number Field, a reference

I need to find "Algorithms for Polynomials Over a Real Algebraic Number Field Ph.D. thesis, University of Wisconsin, Madison (1974) by Rubald". However I cannot find it online nor in my ...
Lucio Tanzini's user avatar