Erasure Coded Data Durability
We calculate the erasure coded data durability in terms of the device failure rates and the recovery speed. We put more emphasis on …
Cauchy-Riemann conditions
We derive Cauchy-Riemann conditions in cartesian and polar coordinates.
Yas (Grief)
This is in Turkish. We translated a post from GSnow@reddit on grief to Turkish to share with a family member who lost a loved one.
Integral of the month: \( \oint_{c} \frac{ |dz|}{|z- \beta|^2} \)
Going around a circle!
Dealing with huge and tiny numbers
We sometimes have to deal with very large and very small numbers in the same equation. This post looks into a probability calculation …
Integral of the month: \( \int dx \frac{\sin^2 x}{x^2} \)
Four different ways of evaluating this lovely integral!
The catenary curve with a sliding end
We dive into calculus of variations to calculate the shape of a rope fixed in one end and free to slide on the other.
Integral of the month: \( \int dx \frac{\sin x}{x} \)
Three different ways of evaluating this lovely integral!
HDD average seek time
We compute the average seek time on an hard disk drive. This will involve a bit of math related to functions of random variables.
Integral of the month: \( \int \frac{ dx}{x^n+ 1} \)
Branch cuts are your friends. You can have fun with them!
