MedVision ad

Preliminary mathematics marathon (3 Viewers)

gurmies

Drover
Joined
Mar 20, 2008
Messages
1,209
Location
North Bondi
Gender
Male
HSC
2009
lol. how did i miss that, anyways do we learn this in uni
Not really, but you encounter a similar sort of thing in MATH1251. Bounded from above and increasing or bounded from below and decreasing will always converge. sqrt(1+sqrt(1+sqrt(1+...))) is an alternative representation.
 

cutemouse

Account Closed
Joined
Apr 23, 2007
Messages
2,250
Gender
Undisclosed
HSC
N/A
Not really, but you encounter a similar sort of thing in MATH1251. Bounded from above and increasing or bounded from below and decreasing will always converge. sqrt(1+sqrt(1+sqrt(1+...))) is an alternative representation.
I liked the telescoping series in first year. Interesting stuff :p
 

Timothy.Siu

Prophet 9
Joined
Aug 6, 2008
Messages
3,449
Location
Sydney
Gender
Male
HSC
2009
lol. how did i miss that, anyways do we learn this in uni
I learnt a bit of continued fractions in one of my courses (MATH2400 finite maths UNSW), probably got taught it for 2 hours in the entire sem though.
 

Drongoski

Well-Known Member
Joined
Feb 22, 2009
Messages
4,255
Gender
Male
HSC
N/A
The Indian maths genius Ramanujan was an expert in continued fractions if my memory serves me correctly
 
Joined
Dec 31, 2009
Messages
4,741
Location
sarajevo
Gender
Female
HSC
2015
Uni Grad
2017
Wendy and Kent make coffee, Wendy pours in milk immediately then waits for it to cool, Kent waits for it to cool then adds milk. Whose coffee will be cooler after the same amount of time? Support your answer mathematically.
 
G

genius4

Guest
Wendy and Kent make coffee, Wendy pours in milk immediately then waits for it to cool, Kent waits for it to cool then adds milk. Whose coffee will be cooler after the same amount of time? Support your answer mathematically.
Newtons law of cooling, greater temperature differential, the faster it cools. So whoever keeps the coffee hotter the longest will end up with the cooler coffee at the end.

So kent will have the cooler coffee.
 
Last edited by a moderator:

Users Who Are Viewing This Thread (Users: 0, Guests: 3)

Top