Conundrum

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About a year ago, I took a path through some agricultural pasture.

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I like to go exploring sometime.

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The compressed row storage (CRS) format is a matrix storage format for sparse matrices, which is most useful for matrices which have a linear number of non-zero elements (compared to dense matrices having a quadratic number of non-zero elements).

A framing device for the role of Informatics in our shared world.

This article may require some additional technical knowledge.

This article has been adapted from an earlier PDF I wrote.

The formula $$ \textrm{Set}(x) = \textrm{Set}(y) \iff \left\lfloor \frac{x}{B} \right\rfloor \equiv_{S} \left\lfloor \frac{y}{B} \right\rfloor $$ where $$B = \textrm{Blocksize}$$ $$S = \frac{\textrm{Cache Size}}{\textrm{Associativity} \cdot \textrm{Blocks…

Motivation Given a complicated fraction, it is often favorable to split it into two separate fractions as such: $$\frac{1}{6x^2 - 5x + 1} = \frac{2}{2x-1} + \frac{-3}{3x-1}$$ But how to do that can be very obtuse, so here is a general guide for the most r…