
rajesh bhowmick asked: if a^n=c^2-b^2
let b=c-a^R,where R is a random constant ranging from -infinity to +infinity.
putting the value of b in the equation we get
c=a^n+a^2R/2a^R & b=a^n-a^2R/2a^R.
putting n=2 & a as 3 and selecting R as 2 we get the famous equation
3^2+4^2=5^2.here selection of R must be done very carefully and as it ranges from -infinity to +infinity there are infinitely many solutions of c and b for a given a and n.
by giving a few more treatments to the above formula and by proving that there lies a common factor between a,b and c when a=b+c sir fermats last theorem can be proved very easily mathematically on a single sided page.
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Tags: Common Factor,
Infinite Sets,
Infinity —

built4ball asked: When a molecular cloud collapses to form a star, it “spins up” due to conservation of angular momentum. The angular momentum of a spherical system is given by:
L = (2 M R^2)/(5 T)
where M is the mass of the system, R is its radius, and T is its period of rotation (that is, how long it takes the object to turn around once completely). Currently, the sun rotates on its axis once every 30 days. What was the rotation of the cloud that originated the sun when its radius was 1 pc (parsec), assuming the angular momentum is conserved? If the sun collapsed into a neutron star, its radius (R) would shrink by a factor of 30,000, and its angular momentum would also remain the same. What would its new period of rotation be?
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Tags: Conservation Of Angular Momentum,
Molecular Cloud,
Radius —