What is the formula for the volume of a thick crust pizza?

In summary: The mathematician, who had been observing the entire exchange. "You two are wasting your time. The bear is three meters to the right of where you are, no matter who takes the shot."
  • #211
Wilmer said:
Gerald Fitzpatrick and Patrick Fitzgerald

Ben Doon and Phil McCracken

...and what do those represent?
If you had mis-spelled "Doom" we could have the "doomed" wreck of the Edmund Fitzgerald being caused by the terrifying McDonalds monster: the McCracken.

(Sun)
 
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  • #212
Yesterday I was tutoring a 6th grader when we discussed a question involving the perimeter of a circle. He forgot the formula, then I told him that it was π times d. He asked back, "Is d diagonal?". I corrected him that d stood for diameter, but then remembered that diagonal was the distance of two non-adjacent vertex in a figure, so technically that kid was right.
 
  • #213
I would say that the distance between opposite vertices in a rectangle is the diameter. This terminology is used in graph theory.

Professor: What is a root of $f(z)$ of multiplicity $k$?
Student: It is a number $a$ such that if you plug it into $f$, you get 0; if you plug it in again, you again get 0, and so $k$ times. But if you plug it into $f$ for the $k+1$-st time, you do not get 0.

Remark: That's why imperative programming is harmful and students must be taught functional programming, where functions don't have side effects.

The Pigeonhole Principle: If there are $n$ pigeons and $n+1$ holes, then at least one pigeon must have at least two holes in it.

Every square (and rectangular) number is divisible by 11. Indeed, consider a computer or calculator numpad. Type a four-digit number so that buttons form a rectangle, such as 1254, 3179, 2893, 8569, 2871. Such number is divisible by 11.
 
  • #214
Evgeny.Makarov said:
The Pigeonhole Principle: If there are $n$ pigeons and $n+1$ holes, then at least one pigeon must have at least two holes in it.

Excellent!
 
  • #215
Evgeny.Makarov said:
Every square (and rectangular) number is divisible by 11. Indeed, consider a computer or calculator numpad. Type a four-digit number so that buttons form a rectangle, such as 1254, 3179, 2893, 8569, 2871. Such number is divisible by 11.

Such a number is a cyclic permutation of $\overline{abcd}$ where
$$a\ =\ a \\ b\ =\ a+k \\ c=a+k+l \\ d=a+l$$
where $a$ is the bottom-left digit and $k,l\in\mathbb Z^+$. Since $a+c=2a+k=b+c$, the number is divisible by $11$.

BTW … why is this in the Jokes thread? (Wondering)
 
  • #216
Olinguito said:
Such a number is a cyclic permutation of $\overline{abcd}$ where
$$a\ =\ a \\ b\ =\ a+k \\ c=a+k+l \\ d=a+l$$
where $a$ is the bottom-left digit and $k,l\in\mathbb Z^+$. Since $a+c=2a+k=b+c$, the number is divisible by $11$.

BTW … why is this in the Jokes thread? (Wondering)
It's a rectangular number because you write it out by making a rectangle on the number pad...

-Dan
 
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