MHB Is the Equation in a Circle Correct?

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The equation for a circle is confirmed to be correct, with a focus on the properties of disjunction in logic. The discussion highlights that disjunction is idempotent, meaning $x \lor x \iff x$. There is a suggestion to utilize $\LaTeX$ for clearer mathematical representation. Additionally, a note is made about an image being cropped on the right, which may affect clarity. Overall, the conversation emphasizes the importance of proper formatting in mathematical discussions.
hossam killua
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the equation in circle is right ??
 
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Your image seems to be cropped on the right.

For something like this, it would be better to use $\LaTeX$. All of the symbols you need are in the "Set Theory/Logic" section of our "Quick $\LaTeX$" element:

[table="width: 200, class: grid"]
[tr]
[td]Command[/td]
[td]Output[/td]
[/tr]
[tr]
[td]\lor[/td]
[td]$$\lor$$[/td]
[/tr]
[tr]
[td]\And[/td]
[td]$$\And$$[/td]
[/tr]
[tr]
[td]\lnot[/td]
[td]$$\lnot$$[/td]
[/tr]
[tr]
[td]\iff[/td]
[td]$$\iff$$[/td]
[/tr]
[/table]
 
hossam killua said:
the equation in circle is right ??
Yes. Disjunction is idempotent: $x\lor x\iff x$.
 
There is a nice little variation of the problem. The host says, after you have chosen the door, that you can change your guess, but to sweeten the deal, he says you can choose the two other doors, if you wish. This proposition is a no brainer, however before you are quick enough to accept it, the host opens one of the two doors and it is empty. In this version you really want to change your pick, but at the same time ask yourself is the host impartial and does that change anything. The host...

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