The Maths Thread

[East Level 2]

What about the little bit that’s missing? Where is it?!?

Easy to explain.
If you have a cake and cut it into thirds you have 33.3% in each slice. So three slices add up to 99.9% and the missing 0.1% is on the knife.

 

[East Level 2]

Are there some fractions that have more equivalent fractions? The fact you can simply double and keep doubling every fraction would seem to indicate every fraction has an infinite number of equivalent fractions I.e 2/3 = 4/6 = 8/12
3/7 = 6/14 = 12/28 etc etc

But what about fractions that you can also divide to get a equivalent fraction:

4/6 = 8/12 = 16/24 etc etc ad infinitum but also 4/6 = 2/3

So does 4/6 have more equivalent fractions than 3/7?

Yes, because it has the same number of multiplied equivalent fractions (as many as you can be arsed with) and can also have 2/3.

 

[johnnytapia]

Yes, because it has the same number of multiplied equivalent fractions (as many as you can be arsed with) and can also have 2/3.

That’s what I think but how can you have more than infinity?!?

 

[JASR]

That’s what I think but how can you have more than infinity?!?

Some infinity’s are bigger than others.

 

[oldius]

3/4 = 6/8 and 21/28 - just one example of a fraction that isn't repetitively doubled.

 

[Man-chester copperpot]

5318008 = BOOBIES

This is my kind of Maths.
Absolute genius.

Isaac Newton can swivvel

 

[oldius]

Finished my online course. Usually graphs are rectangular i.e. y vs x but in the graph below, I have plotted the variable r against x in polar coordinates to produce a 'cardioid'.

At x = 0 degrees r=1, and at x=90 degrees, r=0, at x=270 degrees, r = -2.

This shapes follows from the sine wave and its symmetry around it peak at pi/2.

View attachment 168987

And looks like an ass...marvelous!

 

[INDEEDY DEEDY]

As my late Father used to say " 2 down, 1 to carry".

 

[Dave Ewing's Back 'eader]

SEVEN YEARS to comment on my post?
Are you still using a dial up modem?

My ERO would say so but it's rock solid optical fibre whatnot broadband!

 

[mosssideblue]

Some infinity’s are bigger than others.

Until you reach the Trump infinity. Nothing bigger or better

 

[mosssideblue]

Twelve golf balls each numbered 1-12.
At point of commencement, any one of the balls can be either lighter or heavier than the other eleven.

Using a set of balance scales, in three moves, determine the number of the ball and its difference to the others

 

[Marvin.]

Twelve golf balls each numbered 1-12.
At point of commencement, any one of the balls can be either lighter or heavier than the other eleven.

Using a set of balance scales, in three moves, determine the number of the ball and its difference to the others

Couldn't work it out in 5 minutes so I googled the solution.

 

[Marvin.]

I came across a nice problem that using implicit differentation. The source for it is

A rocket blasts off vertically from a flat surface. You are 3000m from the rocket at launch and you have a ground-based camera. At a height of 4000m, you need to know what is the rate of change of inclination of your camera to keep it in your field of view. The rocket is assumed to be travelling vertically and has a velocity of 600 m/s at 4000m.

We can define a triangle as below and make the relation:

Using implicit differentiation, we can differentiate both sides with respect to time, t…






secϴ= 1/cos = 5/3, and dh/dt = 600 m/s.

Rearranging, we get or 4.13⁰/ s

 

[mosssideblue]

I came across a nice problem that using implicit differentation. The source for it is

A rocket blasts off vertically from a flat surface. You are 3000m from the rocket at launch and you have a ground-based camera. At a height of 4000m, you need to know what is the rate of change of inclination of your camera to keep it in your field of view. The rocket is assumed to be travelling vertically and has a velocity of 600 m/s at 4000m.

We can define a triangle as below and make the relation: View attachment 174085

Using implicit differentiation, we can differentiate both sides with respect to time, t…

View attachment 174082

View attachment 174084


secϴ= 1/cos = 5/3, and dh/dt = 600 m/s.

Rearranging, we get View attachment 174083 or 4.13⁰/ s

I worked it out to 0.074 rad/ sec. :)

 

[SCEtoAUX]

Prove the 3n+1 conjecture and there's a million dollars out there for you.