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

[Fantini]

Symbolic manipulation becomes easier after so much practice. Can you do $19,245 \times 52,091$ faster than $$\int \sec^2 (x) \, dx?$$

 

[ineedhelpnow]

no. i can do it fast but definitely not as fast as integrating sec^2x

 

[Nono713]

Symbolic manipulation becomes easier after so much practice. Can you do $19,245 \times 52,091$ faster than $$\int \sec^2 (x) \, dx?$$

     19245
     52091
----------
     19245
   173205
   00000
  38490
 96225
----------
1002491295

Almost ;)

I subscribe to Einstein's point of view: you don't need to know everything, just that it exists and where/how to find it. In any case, it wasn't a fair comparison: $\tan(x)$ has a simple derivative that can easily be memorized, whereas $19245 \times 52091$ is rather arbitrary.

 

[topsquark]

Last one for the day.

View attachment 3175

-Dan

 

[Fantini]

     19245
     52091
----------
     19245
   173205
   00000
  38490
 96225
----------
1002491295

Almost ;)

I subscribe to Einstein's point of view: you don't need to know everything, just that it exists and where/how to find it. In any case, it wasn't a fair comparison: $\tan(x)$ has a simple derivative that can easily be memorized, whereas $19245 \times 52091$ is rather arbitrary.

I was just lucky to stumble upon a nice integral.

 

[Fantini]

 

[anemone]

There

 

[Fantini]

Teaching math gets harder every day.

 

[topsquark]

I love test questions.

View attachment 3647

-Dan

 

[Amer]

Teaching math gets harder every day.

lol 100% samething happens with me. sometimes i tried to explain something which make it harder to understand :D

 

[Evgeny.Makarov]

On the 2nd week of Xmas my teachers gave to me
5 all-nighters
4 hrs of crying
3 mental breakdowns
2 thoughts of dropout
& a month of anxiety.

Here is a secret: it's not that different for a new professor either...

 

[Fallen Angel]

I'm not sure this make really sense in English but ...

When a girl says "I love you with all my forces" I always stay reflecting, Does she knows Newton's law?

 

[Evgeny.Makarov]

One can simplify a lot of stuff in math and physics by just assuming a solid is a sphere...
But this would be a rounding error.

Shakespeare has given us the age-old question: "To be or not to be?"
Computer science has given us the answer: FF.
[sp]0x2B | ~0x2B == 0xFF[/sp]

 

[anemone]

Why do you so seldom see mathematicians at the beach?

Spoiler

Because they use the sin, and not the sun, to get their tan.

 

[phymat]

A student was told to expand $$(a+b)^2$$. The actual answer is $$a^2 +2ab + b^2$$. But the student answered :

Spoiler

$$(\ \ \ \ \ \ \ \ \ \ a \ \ \ \ \ \ \ \ \ \ + \ \ \ \ \ \ \ \ \ \ b \ \ \ \ \ \ \ \ \ \ ) \ \ \ \ ^2$$

 

[Evgeny.Makarov]

A chemistry joke, or the Need to state your wishes precisely

A genius high school chemistry student takes a test, gets his score back, and is dismayed to find that he missed exactly one question and thus would not be accepted to his university of choice. He is especially bummed because the question he missed was "how many valence electrons does a hydrogen atom have?" In his haste to complete the test, he had answered 2.

Depressed and despairing, he takes a walk alone along a beach, and is lost in thought when he trips on a metal object in the sand. Picking it up, he finds it to be a brass oil lamp, and as his fingers brush the surface a genie suddenly appears! The genie thunders, "I can grant you anyone wish, but you must answer now. What do you desire?" The student immediately replies, "I wish I had gotten that question right," and the universe explodes.

 

[topsquark]

What do you call Marcel Marceau about an hour after eating a big plate of beans?

Spoiler

Silent, but deadly.

-Dan

 

[jacobi1]

View attachment 4262

 

[soroban]

One goldfish says to the other goldfish:

"Okay, wise guy!
If there's no God, who changes the water?"

 

[Evgeny.Makarov]

After defeating Lernaean Hydra, Heracles describes the battle to his friend. "So, I cut off its head—four others grow back. I cut off four—three grow back. I cut off three—seven grow back". His friend asks, "So what happened?" Heracles: "Half an hour passed, and no apparent regularity!"

 

[soroban]

"Hey, old timer! . Lived here all your life?"

"Not yet."

 

[topsquark]

View attachment 4296
(An excerpt from my thesis defense.)

-Dan

 

[soroban]

Karaoke bars combine our two greatest evils:

people who shouldn't drink and people who shouldn't sing.

 

[soroban]

Does the name Pavlov ring a bell?

 

[Evgeny.Makarov]

Newton: If you mess with me, expect my revenge.
Secretary: But, sir, we can't publish that.
Newton: OK then, write this: For every action there is an equal and opposite reaction.

 

[Evgeny.Makarov]

Some student answers during exams.

• The expression $\pi=\frac{C}{d}$ means that $\pi$ is directly proportional to the circumference and inversely proportional to the diameter.
• The number of elements on the main diagonal of a square matrix of size $n$ is $n\sqrt{2}$.
• A function is continuous if there exists every epsilon…

 

[Evgeny.Makarov]

As a preamble to the following story I'd like to remind you about the role the year 1917 played in the history of Russia. That year two revolutions happened in Russia: the first resulted in the abdication of the tsar, and the second brought the Bolshevik rule and led to the appearance of the Soviet Union. The anniversaries of the October revolution (even though it happened in November according to the Gregorian calendar) were one of three or four major holidays in the Soviet Union.

The story was told by Vladimir Tikhomirov, a mathematician working in the area of functional analysis and mathematical optimization, a distinguished professor of Moscow State University. It's about Dmitri Menshov, one of the first Soviet mathematicians.

Once in the 1960s there was a meeting between students and faculty of the department of functional analysis. Menshov was asked to speak about the origin of the Moscow mathematical school. This is what he said.

"In 1914 I was admitted to Moscow University. Prof. Nikolai Luzin then lived abroad, but he arranged with Prof. Dmitri Egorov that they would organize a research seminar for students. And Prof. Egorov did start this seminar in 1914. It was devoted to numerical series. The following year Prof. Lusin returned to Moscow and started to supervise the seminar himself. In 1915 we studied functional series, and in 1916, orthogonal series.

And then came 1917. It was a very memorable year of our lives. That year happened an event that influenced our entire life: we started studying trigonometric series…"

 

[Evgeny.Makarov]

A constructivist's joke: A lemma is a theorem proved using the law of excluded middle.

Zenophobia: the irrational fear of converging sequences.

Evaluate this expression: $7(3^2-5)-7+3$. You may be surprised to discover that the result is 4!

My PIN code is the last 4 digits of $\pi$.

 

[Deveno]

Evaluate this expression: $7(3^2-5)-7+3$. You may be surprised to discover that the result is 4!

When I divided it by 4, I got 3!

 

[Evgeny.Makarov]

It's such a unique number that I can even divide it by 0!