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

[topsquark]

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)

 

[Monoxdifly]

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.

 

[Evgeny.Makarov]

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.

 

[Ackbach]

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!

 

[Olinguito]

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)

 

[topsquark]

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