Wikipedia:Admin vitriol formula

Basic formula
An elegant formula for determining the amount of Vitriol that will follow upon any admin action:

$$ V=\frac{E*G*U}{O*R}$$

Where:
 * V is amount of Vitriol
 * E is the Enemies of the Admin in Question Index
 * G is the Generated Controversy Index, or if this formula is being used in a forward looking context, the Expected Generated Controversy Index
 * U is the Unilateral Index (roughly defined as the degree to which the action is perceived as unilateral)
 * O is the Obviousness of the action in question.
 * R is the Reversibility of the action (usually defined as 1 for page protection, 8 for semi-protection, 5 for deletion, and a sliding scale from 1 to 20 for blocks, depending on the length of the block).

E: Enemies of the Admin in Question Index
E, the Enemies of the Admin in Question Index, is roughly governed by the equation:

$$ E=\sqrt{X+(F_{acns}*e^i)}$$

Where:
 * X is the experience of the admin, measured in thousands of edits since adminship was gained (and roughly proportional to number of enemies made)
 * Facns is the Aggressive Clueless Newbie Syndrome Factor
 * i is the level of user Insanity, where perfect sanity is zero, and raving lunacy is an imaginary number
 * e is the natural logarithm base, a number that is constant and irrational (like many things here)

Note: An alternative formula replaces ACNS with the ST or Seasoned Troll factor.

G: Generated Controversy Index
$$ G=\frac{O^N(\frac{A_u+1}{A_s+1})^{D_u}}{T}*W^{R+1}\forall{W}\in\mathbb{Q}\cap(0,5]$$

Where:
 * O represents the Obviousness of the action (see below)
 * N represents the Number of users affected.
 * Au represents the number of previous Unsuccessful Attempts.
 * As represents the number of previous Successful Attempts.
 * Du represents the average length of Discussions (if any) generated by unsuccessful attempts in dozens of edits.
 * T represents Time since the last unsuccessful attempt (if any), in months.
 * W represents the Awareness factor of the user regarding the possible controversiality of the issue, on a scale of 0 to 5. Unawareness is expressed in fractions. Average awareness is 1.
 * R is the number of reverts over the actions. Most everyday actions have $$R = 0$$. Trouble starts when $$R > 1$$.

U: Unilateral Index
U=1 for a well-discussed multilateral action. Totally unilateral actions have U=500.

$$ U=500-\frac{(N+F)(D_1+D_2)}{A_s+1}$$

Where:
 * N represents the number of Users participating in the discussions.
 * F represents the number of Forums where input was requested.
 * D1 represents the length of Discussion taken before implementing the action.
 * D2 represents the length of Discussion generated by previous implementations.
 * As represents the number of previous Successful Attempts.

O: Obviousness
O, the obviousness of the action in question.

$$O=(max(t,v,w,v*t,w*t)*V)^{E}$$

Where:
 * max(t,v,w,v*t,w*t) is the maximal value of t, v, w, v*t or w*t.
 * t is the apparent trolling, v is the apparent vandalism, w is the current level of revert warring, and v*t and w*t are the multiple of apparent trolling and either v or w. v, w and t default to 1, and are positive real numbers; a larger value equates to a more blatant example of vandalism, edit warring, or trolling.
 * V is the visibility of the page in question; see below.
 * E is the extent (if page related) or length (if a block) of the action in question, in hours.

V: Visibility
V, Visibility calculates roughly as:

$$ V=\frac{(\frac{L_r*L_e}{P_t})^{1+\frac{1}{2*D-1}}}{F_{va}}$$

Where:
 * Lr represents the number of Relevant Internal Links to the page (date pages can be considered to have only very few relevant links).
 * Le represents the number of External Links to the page.
 * $$\frac{L_r*L_e}{P_t}$$ may be replaced by $$\frac{100}{M}$$ where M is the page's average position on "Most popular/visited pages" over the last month.
 * Pt represents the Number of Pages in Wikipedia at Time t of occurrence.
 * D represents the Depth of the page (in clicks) from the Main Page.
 * Fva represents a Vandalism Attraction Factor, that is, the normal attractiveness of this page to vandals when unprotected. Indefinitely protecting Penis is unlikely to immediately create much uproar, no matter the circumstances.