In mathematics, if the quotient space X/G is a compact space, then it is called cocompact action of a group G on a topological space X. If X is locally compact, then an equivalent condition is that there is a compact subset K of X such that the image of K under the action of G covers X. Suppose a group $latex \Gamma […]
Sum of 1's: Algebra Problem Find the sum: 1+111+11111+1111111+…..1….111(2k+1) ones Useful points: Try with Hints ... Other Useful Links GCD and Bezout Theorem Gauss Trick of Algebra Related Program Subscribe to Cheenta at YouTube
Understand the problem Let O be a point inside a parallelogram ABCD such that \(\angle AOB+\angle COD =180\) prove that \(\angle OBC =\angle ODC\) Useful Points Suggested book Challenges and Thrills in Pre-College Mathematics Try with Hints... Other Useful Links GCD and Bezout Theorem Gauss Trick of Algebra Related Program Subscribe to Cheenta at YouTube
This problem from ISI Entrance 2019 is an interesting application of complex numbers in geometry. Try your hands on this!