# Tag Archives: LaTeX

## The Making of a Metric: Part 3

In our last installment, we nailed down the weight factors we’ll use for our smoothness metric.  Today we’re going to wrap it up by specifying normalization conditions for the histogram and formally defining the metric. To refresh your memory a … Continue reading

## The Making of a Metric: Part 2

In our last post, we decided on a functional form for our metric.  And while I didn’t write it out in full mathematical formalism, the pieces were all there.  In short, we start with a damage histogram $H(x)$ computed by … Continue reading

## The Making of a Metric: Part 1

Simulationcraft now has full support for protection paladin mechanics, and hopefully in a week or two I’ll get around to writing a how-to blog post on using it and interpreting the data.  Once I write a few batch files, it … Continue reading

## The Once And Future Sim

I hinted about a “secret project” in my last post, and promised I’d be more forthcoming this week.  It’s about time for the big reveal.  But first, let’s take a trip down memory lane. In The Beginning, There Was Hit … Continue reading

## Modeling Seal of Insight

Seal of Insight is the last major paladin mechanic that has yet to be added to the simulation.  The last piece of the puzzle, as it were.  There are a number of reasons I’ve put off adding SoI, some of … Continue reading

## Sacréd bleu!

The comments section of last Friday’s post hosted some interesting discussions. Wrathblood pointed out that some of the avoidance gear sets were performing about as well as the Control/Haste set, and Kihra cautioned against counting out Control/Mastery entirely. There was … Continue reading

## Control Shift En-tier

About a week ago, Wrathblood asked me to take a more thorough look at the Tier 15 2-piece bonus. The earlier simulations I ran were based on a lower-ilvl gear set (496) which was more constrained in its itemization, and … Continue reading

## Theorycrafting 101: Markov Chains

A few weeks ago, I was asked on Twitter whether I could provide the proof of the “proc buff uptime formula.” For those that aren’t aware, there’s a popular formula for calculating the uptime $U$ of a proc-based buff effect … Continue reading

## Revenge Combinatorics

Since January is apparently “Warrior Month” here at Sacred Duty, I figured I’d share a little side project I’ve been working on. Omega (of DBM fame) and I were having a conversation about warriors on Lei Shi, and what effect … Continue reading

## Tankadin Meta Gems – Detailed Analysis

So far, we’ve been assuming that the Austere Primal Diamond was our go-to meta gem. With the massive changes to blocking in 5.0, the flat 1% block value afforded by the Eternal Primal Diamond can’t hold a candle to 2% … Continue reading