Add new comment
Some practical tips to help you when you need it most!
-
Want facts and want them fast? Our Maths in a minute series explores key mathematical concepts in just a few words.
A basic introduction to the most powerful tools in science and enginnering.
As COP28, the 2023 United Nations Climate Change Conference, kicks off we look at how maths can help understand the climate crisis.
How do you create dramatic film out of mathematics? We find out with writer and director Timothy Lanzone.
Mathematics plays a central role in understanding how infectious diseases spread. This collection of articles looks at some basic concepts in epidemiology to help you understand this fascinating and important field, and set you up for further study.
Find out why the formula we use to work out conditional probabilities is true!
OMG !! What Have YOU Done?????
Z+Z= the original sum i.e. Z
so you write 2Z=Z
so putting Z=0.5, we get 0.5=1
but why stop here?
It's an infinite sum so at my will I can write (Z+Z = Z+Z) or (Z+Z = Z+Z+Z+.........+Z)
so, Z=Z or Z=nZ
so whatever Z is, Z can be anything else....it's nonsense. RIGHT??
Don't stop. It's not like counting bricks. Whenever you put an end to it, its a divergent series and for that don't assign any value for GOD's sake!
BUT, try to think it this way. The sum is indeed INFINITE. That is the only truth. It doesn't end. But that infinite is a pile of junk. There is a bit of finite part in that infinity. Whenever you stop and calculate, each time it blows up. But there is this (-1/12) part which only accumulates if you allow it to go on forever. And yes we physicists use it in quantum fields and all sort of places. Each time we replace that infinite sum with this very value, we confirm the result! Don't teach things you don't fully understand.