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Comparing asymptotic growth of logarithmic functions by reasoning

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#limits #logarithms #asymptotics
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O-notation: composing functions

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#calculus #real-analysis #polynomials #asymptotics
62
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What are basic methodologies on solving questions related to comparison of rate of growth of two different functions?

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#limits #asymptotics
40
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What is the result of $\frac{h^2}{2}O(h)+O(h^3)$

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#asymptotics
241
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sum over primes involving divisor function (variation of the Titchmarsh divisor problem)

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#number-theory #elementary-number-theory #asymptotics #arithmetic-functions
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How to order functions by their rate of growth?

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#algorithms #asymptotics #computational-complexity
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What's the right way to write big-O?

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#notation #terminology #asymptotics
174
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Order of error of a fraction

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#asymptotics #error-propagation
38
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How to extract $O(h^2)$ from $f\left(t_{i+1},y_i+hf(t_i,y_i)+O(h^2)\right)$

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#asymptotics
61
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Partitions tending to a constant

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#combinatorics #asymptotics #integer-partitions
305
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Why is this function a really good asymptotic for $\exp(x)\sqrt{x}$

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#complex-analysis #logarithms #asymptotics #exponential-function #gamma-function
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What is a polynomially bounded function?

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#functions #asymptotics
57
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Prove $\left\lfloor n\right\rfloor = n + O(1)$

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#asymptotics
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$f(n) = O(n) \overset ? \implies \log(f(n)) = O(\log n)$

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#functions #asymptotics
43
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Does $f(2x) \in Θ(f(x))$ always hold?

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#functions #asymptotics

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