# Work δ

## Venn Diagrams and Logical Graphs on Two Variables

### Index Order

#### PNG

$\text{Venn Diagrams and Logical Graphs on Two Variables}$

#### HTML + JPG + LaTeX

Venn Diagrams and Logical Graphs on Two Variables
$\text{Boolean Function}$ $\text{Entitative Graph}$ $\text{Existential Graph}$

$f_{0}$ $\text{false}$ $\text{false}$

$f_{1}$ $\lnot (x \lor y)$ $\lnot x \land \lnot y$

$f_{2}$ $\lnot x \land y$ $\lnot x \land y$

$f_{3}$ $\lnot x$ $\lnot x$

$f_{4}$ $x \land \lnot y$ $x \land \lnot y$

$f_{5}$ $\lnot y$ $\lnot y$

$f_{6}$ $x \ne y$ $x \ne y$

$f_{7}$ $\lnot x \lor \lnot y$ $\lnot (x \land y)$

$f_{8}$ $x \land y$ $x \land y$

$f_{9}$ $x = y$ $x = y$

$f_{10}$ $y$ $y$

$f_{11}$ $x \Rightarrow y$ $x \Rightarrow y$

$f_{12}$ $x$ $x$

$f_{13}$ $x \Leftarrow y$ $x \Leftarrow y$

$f_{14}$ $x \lor y$ $x \lor y$

$f_{15}$ $\text{true}$ $\text{true}$

### Orbit Order

#### PNG

$\text{Venn Diagrams and Logical Graphs on Two Variables} \stackrel{_\bullet}{} \text{Orbit Order}$

#### HTML + JPG + LaTeX

Venn Diagrams and Logical Graphs on Two Variables • Orbit Order
$\text{Boolean Function}$ $\text{Entitative Graph}$ $\text{Existential Graph}$

$f_{0}$ $\text{false}$ $\text{false}$

$f_{1}$ $\lnot (x \lor y)$ $\lnot x \land \lnot y$

$f_{2}$ $\lnot x \land y$ $\lnot x \land y$

$f_{4}$ $x \land \lnot y$ $x \land \lnot y$

$f_{8}$ $x \land y$ $x \land y$

$f_{3}$ $\lnot x$ $\lnot x$

$f_{12}$ $x$ $x$

$f_{6}$ $x \ne y$ $x \ne y$

$f_{9}$ $x = y$ $x = y$

$f_{5}$ $\lnot y$ $\lnot y$

$f_{10}$ $y$ $y$

$f_{7}$ $\lnot x \lor \lnot y$ $\lnot (x \land y)$

$f_{11}$ $x \Rightarrow y$ $x \Rightarrow y$

$f_{13}$ $x \Leftarrow y$ $x \Leftarrow y$

$f_{14}$ $x \lor y$ $x \lor y$

$f_{15}$ $\text{true}$ $\text{true}$