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Complexity analysis of logarithms

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#algorithms #logarithms #computational-complexity
117
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How can we denote the following function in terms of big-O notation?

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#functions #algorithms #computational-complexity
115
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Logarithm, its algebraic properties and algorithmic complexity (MIT OpenCourseware 6.042)

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#computational-complexity
108
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Factorization of integers - why does it suffice to consider squarefree instances?

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#computational-complexity #factoring
66
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Verifying reasoning: $2^{(10\log n + n/2)} = \mathcal{O}( 2^n)$

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#computational-complexity
88
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How big is $Z_n^*$?

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#probability #number-theory #computational-complexity
3.5k
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How to show that Eratosthenes sieve algorithm has a complexity of $O(n\log n)$

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#elementary-number-theory #algorithms #computational-complexity
388
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$\sum _{i=1}^{n} \sum _{j=1}^{n} \sum _{k=1}^{n}\sum _{l=1}^{n} A(i,j)A(i,k)A(i,l)A(j,k)A(j,l)A(k,l) $

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#abstract-algebra #combinatorics #computational-complexity
2.3k
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Finding the asymptotic behavior of the recurrence $T(n)=4T(\frac{n}{2})+n^2$ by using substitution method

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#algorithms #asymptotics #recurrence-relations #computational-complexity #recursive-algorithms
2.3k
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Solving a recurrence relation using master method

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#recurrence-relations #computational-complexity #recursive-algorithms
19.2k
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Time complexity of a modulo operation

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#algorithms #computational-complexity
123
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What's the relationship between the Ham Sandwich Theorem and the PPAD Complexity Class?

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#geometry #computational-complexity
225
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How to recover a shuffled matrix

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#matrices #computational-complexity
251
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How is naive CLIQUE algorithm polynomial time?

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#computer-science #computational-complexity
81
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Sequences and Languages

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#number-theory #computational-complexity #formal-languages

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