O, Logarithm! Thoust provideth a function most dear to All. WIthout thee, our linear minds would be overwhelmed by the mighty Exponential, which Nature herself has used as her Firmament.

Let thy name ring out over the Land, O Logarithm!

:-P

#logarithm

Computing the Integer Binary Logarithm https://janmr.com/posts/computing-the-integer-binary-logarithm/ #programming #algorithm #integer #binary #logarithm #numbers #cpp

\[ k = \lfloor \log_2 n \rfloor \quad \Leftrightarrow \quad 2^k \leq n < 2^{k+1} \]

#memes #dankmemes #logarithm #math #mathmemes #log #sunshine

L o g a r i t h m s

#statstab #476 In linear regression, when is it appropriate to use the log of an independent variable instead of the actual values?

Thoughts: Great thread explaining the (few) instances when log transforming makes sense

#logarithm #transformation #data

https://stats.stackexchange.com/questions/298/in-linear-regression-when-is-it-appropriate-to-use-the-log-of-an-independent-va/3530#3530

Euler–Mascheroni constant!  

In fact, the last one is:
\[\large\displaystyle\int_1^{+\infty}\mathrm dx\ \left(\frac{1}{\lfloor x\rfloor}-\frac1x\right)=\gamma\approx0.5772156649\]

Equivalently,
\[\large\displaystyle\lim_{n\to\infty}\left(\sum_{k=1}^n \frac1{k}-\ln n\right)=\gamma=0.5772156649\ldots\]
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Unsolved problem in mathematics:
Is Euler–Mascheroni constant irrational? If so, is it transcendental?

#Euler #Mascheroni #EulerMascheroni #Constant #gamma #EulerConstant #EulersConstant #EulerMascheroniConstant #Irrational #Irrationality #Transcendental #Transcendence #Unsolved #UnsolvedProblem #Maths #Mathematics #Indeterminate #IndeterminateForm #IndeterminateForms #Inf #Infinity #HarmonicNumber #HarmonicNumbers #HarmonicSeries #Logarithm #Log #Logarithms #NaturalLogarithm #Integral #ImproperIntegral

🙌#call4reading

✍️Base of exponent #representation matters -- more efficient reduction of discrete #logarithm problem and elliptic curve discrete #logarithm problem to the #QUBO problem #by Michal Wronski and Lukasz Dzierzkowski

🔗 https://doi.org/10.26421/QIC24.7-8-1