Preliminary mathematics marathon (2 Viewers)

[Hermes1]

yep, u can do it like that, but the more obvious way i thought was to say


well done.

lol. how did i miss that, anyways do we learn this in uni

 

[gurmies]

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]

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

 

[Timothy.Siu]

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]

The Indian maths genius Ramanujan was an expert in continued fractions if my memory serves me correctly

 

[Timothy.Siu]

The Indian maths genius Ramanujan was an expert in continued fractions if my memory serves me correctly

yeah, i think so, he used it to have crazy approximations for some numbers.

 

[Drongoski]

yeah, i think so, he used it to have crazy approximations for some numbers.

Tragically he died young - at 32.

 

[gurmies]

I liked the telescoping series in first year. Interesting stuff

Likewise, although we didn't learn too much about it.

 

[ohexploitable]

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.

 

[genius4]

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.