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!
As you appear to be unaware of the fact, there are infinitely, infinitely many cubic quadruples
the smallest of which is 6^3 = 5^3 + 4^3 + 3^3 for the positive series and 9^3 = 8^3 + 6^3 - 1^3
for the negative series.
There are infinitely many quartic quadruples.
An 'interesting' trio of quadruples is:
[1] 159^4 = 158^4 + 59^4 + 1952^2
[2] 159^4 = 134^4 + 133^4 + 1952^2
[3] 158^4 = 134^4 + 133^4 - 59^4
If a Fermat triple existed it would mean that a trio of quadruples, 2 positive
and 1 negative and of the same power would also exist but the structure
of their interrelationship would be marginally different.
The 3 quadruples reduce to 3 Pythagorean quadruples.