The Hairy Ball theorem, proved by Henri Poincaré in 1885, demonstrates that it's impossible to create a perfectly smooth hair pattern on a spherical surface. The theorem states that any continuous ...

An electro–optic scheme for sampling the electric field of laser pulses without the need for any synchronization could become a valuable tool for characterizing sources that emit in the infrared and ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Discover how to determine the ideal percentage of a population for a representative sample to ensure accurate data analysis with minimal sampling error.