← Mathematical compendium

Published equation contexts

Wm(B)=∑(g,h)∈Gwgh 1{(g,h)∈Nm(B)}W_m(B)=\sum_{(g,h)\in\mathcal{G}}w_{gh}\,\mathbf{1}\{(g,h)\in\mathcal{N}_m(B)\}

Why this formula appears here

To compare systems without pretending that this irregular region is a Euclidean animal range, bin the preregistered plane into cells and define width as Wm(B)=∑(g,h)∈Gwgh 1{(g,h)∈Nm(B)}W_m(B)=\sum_{(g,h)\in\mathcal{G}}w_{gh}\,\mathbf{1}\{(g,h)\in\mathcal{N}_m(B)\}. The unit is weighted grid cells, stated with the binning rule. Report its depth too: the greatest gap or horizon cell satisfying the reliability rule. A broad, shallow system has a large WmW_m but low maximum depth; a narrow, deep specialist may have small width yet persist at large g or h . Neither is “more intelligent” by definition. The map makes a tradeoff inspectable.

Read the full article-specific guide →

Read the representative guide

hh

Symbol h

h appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Read this term in its guide →
G\mathcal{G}

Symbol G

G appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

Read this term in its guide →
(g,h)∈G(g,h)\in\mathcal{G}

Starting index or lower bound: (g,h)inG

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Read this term in its guide →

How to interpret it

Read it with the definitions, units, and assumptions supplied by the article.

Learn the mathematics behind it

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

Wm(B)=∑(g,h)∈Gwgh 1{(g,h)∈Nm(B)}.W_m(B)=\sum_{(g,h)\in\mathcal{G}}w_{gh}\,\mathbf{1}\{(g,h)\in\mathcal{N}_m(B)\}.

Equation 33 · Evolutionary AI

AI Feeds on the Distance Between an Intention and an Outcome

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

To compare systems without pretending that this irregular region is a Euclidean animal range, bin the preregistered plane into cells and define width as Wm(B)=∑(g,h)∈Gwgh 1{(g,h)∈Nm(B)}W_m(B)=\sum_{(g,h)\in\mathcal{G}}w_{gh}\,\mathbf{1}\{(g,h)\in\mathcal{N}_m(B)\}. The unit is weighted grid cells, stated with the binning rule. Report its depth too: the greatest gap or horizon cell satisfying the reliability rule. A broad, shallow system has a large WmW_m but low maximum depth; a narrow, deep specialist may have small width yet persist at large g or h . Neither is “more intelligent” by definition. The map makes a tradeoff inspectable.

Meanings in this article

  • gg: in bit-transitions and h in active human minutes.
Equation guide → · Article →