Drawing a binary graph

• Dec 4th 2007, 11:20 AM
DonAvery86
Drawing a binary graph
This problem is confusing me a little, specifically the "x|y."

http://www.filecram.com/files/965untitled.JPG

Would this be correct? The loops around the numbers signify a relation.
http://www.filecram.com/files/12-04-2007 02;07;17PM.JPG
• Dec 4th 2007, 12:22 PM
Jhevon
Quote:

Originally Posted by DonAvery86
This problem is confusing me a little, specifically the "x|y."

x|y means x divides y. that is, y/x = integer

now can you continue?
• Dec 4th 2007, 12:25 PM
Soroban
Hello, Don!

Do you understand that $x|y$ means " $x\text{ divides }y$" ?

Since every number divides itself, your diagram is correct . . . so far.

But you missed a few others . . .

. . 2 divides 4, 2 divides 6, 2 divides 8.
. . 3 divides 6.
. . 4 divides 8.

You should have arrows indicating those pairs, too:

. $\begin{array}{ccc}& & 4 \\ & \nearrow & \\ 2 & \rightarrow & 6 \\ & \searrow & \\ & & 8 \end{array}\qquad \text{and }\;3\to6\qquad \text{and }\;4\to8$

• Dec 4th 2007, 12:36 PM
Jhevon
Quote:

Originally Posted by Soroban
Hello, Don!

Do you understand that $x|y$ means " $x\text{ divides }y$" ?

Since every number divides itself, your diagram is correct . . . so far.

But you missed a few others . . .

. . 2 divides 4, 2 divides 6, 2 divides 8.
. . 3 divides 6.
. . 4 divides 8.

You should have arrows indicating those pairs, too:

. $\begin{array}{ccc}& & 4 \\ & \nearrow & \\ 2 & \rightarrow & 6 \\ & \searrow & \\ & & 8 \end{array}\qquad \text{and }\;3\to6\qquad \text{and }\;4\to8$

Nice use of LaTex!
• Dec 4th 2007, 01:19 PM
angel.white
We should have Latex art competitions.
• Dec 4th 2007, 01:30 PM
angel.white
We should have Latex art competitions.
• Dec 4th 2007, 02:00 PM
Krizalid
Yeah, creative :)

I made it with MathType. (Which really takes less time.)

The following code is required:

\begin{array}{*{20}c}
{} & {} & 4 \\
{} & \nearrow & {} \\
2 & \to & 6 \\
{} & \searrow & {} \\
{} & {} & 8 \\
\end{array}, so

$\begin{array}{*{20}c}
{} & {} & 4 \\
{} & \nearrow & {} \\
2 & \to & 6 \\
{} & \searrow & {} \\
{} & {} & 8 \\
\end{array}$