"Why are the numbers afraid of the harmonic series?"
"Because seven eight nine."
"What???"
"I dunno..."
"Why are the numbers afraid of the harmonic series?"
"Because seven eight nine."
"What???"
"I dunno..."
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,
\[\large\displaystyle\lim_{n\to\infty}\left(\sum_{k=1}^n \frac1{k}-\ln n\right)=\gamma=0.5772156649\ldots\]
---------------------------------------------------------------------------------------------------------------------
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
The 11th #Harmonic: Terrifying Truths Revealed At Last
https://www.youtube.com/watch?v=oOWphDnxzU8
#Music #MusicalScales #Tonality #Intonation #Microtones #Microtonality #Harmonics #HarmonicSeries #DNA #Evil #Mannfishh