I can't get enough of Prof. Flood. These are so good!
@alastairbateman63659 жыл бұрын
Euler discovered the identity 158^4 = 134^4 + 133^4 - 59^4 . Checking it out on my calculator from memory I input 159^4 -134^4 -133^4 = 3810304 which is 1952^2. Removing the two common terms from both equations gives 159^4 = 158^4 +59^4 +1952^2. So there you have it, a trio of interrelated quadruples I have called Euler - Bateman quadruples. They are in fact Pythagorean quadruples. Many similarly related trios are also found in cubic quadruples. At the time I had this strange feeling that Euler was whispering in my ear but alas I didn't know what he was saying as I can't speak German. An excellent lecture that was easy to follow and listen to.
@kevinobrien88039 жыл бұрын
Quote "We have not the slightest idea of what this equation means, but we may be certain that it means something very important" This is why we love this stuff! That quote to my mind, sums up the mystery and excitement of the pursuit of knowledge. Superb quote.
@qcislander5 жыл бұрын
About that Irish Coffee question: the trick to keeping the cup/glass warm the longest is to WHIP the cream just enough to incorporate air at 20-25% by volume, and let the cream integrate slowly into the coffee as its whipping fails. While it still sits atop the coffee with air emulsified in it, the cream will greatly slow heat loss from the entire top surface of the coffee. :-)
@Ratsonic8 жыл бұрын
Any engineering student will agree that Euler is the go to dude in structural support column acceptable load to prevent catastrophe.
@dnickaroo35747 жыл бұрын
Yes, he brilliantly brought back the mystery with i^i
@andywander9 жыл бұрын
What if you took the milk out of the refrigerator, and either added it immediately, or left the milk out for 30 minutes and then added it?
@Ladybellahu8 жыл бұрын
great video! thank you
@sloaiza818 жыл бұрын
Anybody know where to get the full version of the image shown at the 8 min mark?
@providedrailroad7 жыл бұрын
United States here - had no issues with the dialect. Quite enjoyed the lecture.
@DaveGeelen889 жыл бұрын
24.40 Now we come to the most important part, witch is, PRRRRRRRRRRR :p
@shuvamghosh91094 жыл бұрын
thank you, sir, for your great lecture
@WahranRai6 жыл бұрын
Euler, the swiss quality. The father of russian mathematics school
@MagruderSpoots9 жыл бұрын
39:30 more detail at this point would have been helpful for me, such as some additional terms in the cos n(theta) series.
@vitakyo9828 жыл бұрын
+Mark W This comes from : (cos(t) + i*sin(t))^n = cos(n*t) + i*sin(n*t)
@robfielding85665 жыл бұрын
(i^i)^2 = (1/(e^pi)) ...
@raulariza32655 жыл бұрын
Profesor your voice goes away, i cannot understand the end of your sentences.
@qcislander5 жыл бұрын
Sound tech speaking: most of that's not the fault of the professor's voice, but of the technician's over-reaction to its natural variations (the clue is how drastically the room's reverb varies with the overall level of volume). Rather than working volume changes in gently and in tiny increments to keep the "average" tracking smoothly, the tech far too often waits until excess/insufficient volume gets really hard for even casual listeners to ignore.
@Imaginose5 жыл бұрын
What if you put in milk before you put in coffee?
@Timmmmartin7 жыл бұрын
"... one of histories greatest mathematicians" should read "... one of history's greatest mathematicians" or rather "... history's greatest mathematician".
@300483rahul8 жыл бұрын
great video..i think it was north east of england accent.
@eleeson41697 жыл бұрын
Northern Irish accent
@300483rahul7 жыл бұрын
ohk thanks :)
@drbonesshow19 жыл бұрын
Not being an Englishman, it was not easy to follow the dialect.
@alanwilson3998 жыл бұрын
+Don R. Mueller, Ph.D. It's a Northern Irish accent and not easy to follow even for an Englishman like me
@Tizocgringo8 жыл бұрын
oh, but what a beautiful accent that it is! It's not easy to follow, but it shows the richness and beauty that the English language can demonstrate.
@brendanmccann56956 жыл бұрын
There seems to be some confusion between dialect & accent. The dialect is standard English. The accent is Ulster.