According to definition 0^0 =1. But how can it be? If this is TRUE, (0^0)/(0^0) = (0/0)^0 = not defined. Because 0/0 is not defined. On the other hand, 0^0=1 imply (0^0)/(0^0)=1.
A Cantor set is uncountable and yet can have Lebesgue measure zero (or positive measure).
Unsolved problem: write a computer program that can tell whether a knot that it is given is the unknot.
Heron derived the formula for finding the area of a triangle when the lengths of the three sides of a triangle are given.
Prove it or give an example!
A path connected space is connected. The converse does not always hold.
Amartya Sen's bicycle played a key role in his research on the differences between baby boys and girls. After his assistant got bit by the children when weighing them, Sen decided to bicycle through the countryside of West Bengal, weighing the children himself.
When math makes sense! Visualizing the area of a circle. 🤟
Letter to Einstein from a New York plumber, in response to a tongue in cheek remark from Einstein saying he would rather be a plumber than a physicist. (via Institute for Advanced Study)
Sir Isaac Newton developed his theory of gravity when he was only 23 years old.
If you look at zero you see nothing; but look through it and you will see the world.
Working backward from complex theorems can reveal hidden connections between different areas of mathematics. quantamagazine.org/new-proofs-of-…
quantamagazine.org
Why Mathematicians Re-Prove What They Already Know | Quanta Magazine
It’s been known for thousands of years that the primes go on forever, but new proofs give fresh insights into how theorems depend on one another.
Let A, B, and C be the angles of an arbitrary triangle. Then sin² A + sin² B + sin² C = 2 + 2 cos A cos B cos C. johndcook.com/blog/2023/04/1…
1^a=1 for any real numbers. Using the result, can we say 1^inifty=1?
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