simplified and solved
We all know that modern mathematical definition of infinity in set theory was well developed in 19th century.
But over 3 thousand years ago, the yajur veda described infinity as
“IF YOU REMOVE A PART FROM INFINITY OR ADD A PART TO INFINITY, STILL WHAT REMAINS IS INFINITY”.
These are the elements of a huge set of numbers that includes all real numbers as well as infinite numbers and infinitesimal numbers.
* Infinite numbers: Larger in value than any positive integer
*Infinitesimal numbers: Smaller than any positive real number.
The irish mathematician William Rowan Hamilton discovered quaternions.
Now it is used in the areas related to 3d geometry like computer games, spaceship navigation etc.,
Quaternions have the property that ‘x’ multiplied by ‘y’ is not equal to ‘y’ multiplied by ‘x’. These quaternions are used today in the areas related to 3 dimensional geometry.
we see its brief history in my next blog.
Here the straight line AB is divided into AC and CB of measure ‘a’ and ‘b’ respectively.
we say that ‘a’ and ‘b’ are in the golden ratio, if
the ratio of the whole sum to the larger measure equals to the ratio of the larger measure to the smaller measure.
Φ=(a+b)/a =a/b
The value of Φ is$ (1+√5)/2 =1.618…$
umasundresh
