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Given array of numbers $n$, what is the probability that at least k elements will have smaller value than arithmetic average?

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#algorithms #arithmetic #computational-complexity
113
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Easily parallelizable LU decomposition algorithm?

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#linear-algebra #numerical-methods #algorithms #determinant #numerical-linear-algebra
312
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How to use a stabilizer chain (Schreier-Sims) to prune a centralizer search?

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#group-theory #algorithms #computational-algebra
56
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Fast way to calculate $\lceil\sqrt{nk}\rceil$ given $\lceil\sqrt{n(k-1)}\rceil$

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#algorithms #radicals #factoring #prime-factorization
159
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Designing an algorithm that determines if the numbers in the list are equal to a mod b

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#algorithms
79
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Using the definition of O( big-O), show that 2n $ \in $ O($6n^2$)

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#functions #algorithms #computer-science #computational-complexity
288
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Brute force circle problem

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#combinatorics #algorithms #puzzle
257
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What is probability that a line joining two randomly selected coordinates from set form an angle $45°$ with one of axes?

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#probability #combinatorics #algorithms
31
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Prove explanation for exponential growth

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#algorithms #computer-science
242
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What is the expected length of the diameter of a special random graph?

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#probability #algorithms #random-variables #expectation #random-graphs
95
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Smallest positive integer to make integers monotonic

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#elementary-number-theory #algorithms
70
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Is there any two non equal sets of numbers whose products and sum are equal and have the same size?

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#elementary-number-theory #proof-verification #algorithms #computer-science
640
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Can algebraic numbers be compared using only rational arithmetic?

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#abstract-algebra #field-theory #algorithms #ordered-fields
71
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If $f(n) = \Theta(h(n))$, is $h(n) =\Theta(f(n))$?

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#algorithms #computational-complexity
86
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What does it mean to have a recurrence $T(n) = 2T(n)$

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#algorithms #recurrence-relations #recursive-algorithms

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