For years, a French mathematician searched for a proof that a gigantic number is prime. His method is still used 150 years ...

19 is only 1 away from 20, so you prefer to start by multiplying 20 times 5, which equals 100. Then we need to take away a squadron of 5, because there are actually only 19 squadrons, not 20. 100 take ...

In this method the smaller number is partitioned (broken down into tens and units). \({27}\) is broken down into \({10}\), \({10}\) and \({7}\). The method of partitioning into tens, simplifies the ...

Abstract: In the paper, we discuss a generalization of 3x+1 Problem sometimes called Collatz' (Syracuse) Conjecture. For a given initial rational number, each next number is obtained by dividing the ...

Paul Kingsnorth is a novelist and a critic, an environmental activist and a convert to Eastern Orthodoxy. His new book is ...

Abstract: The article proposes new modified Multiply-Accumulate (MAC) units called truncated MAC units and using residue number system (RNS) with moduli of a special form. The effectiveness of the ...

Editor’s note (July 2020): In this essay from 1955 C. Northcote Parkinson described and defined the natural tendency for officials to make more work for each other. The charts have been updated to fit ...

The Rasmussen Reports daily Presidential Tracking Poll for Thursday shows that 45% of Likely U.S. Voters approve of President Trump’s job performance. Fifty-four (54%) disapprove. The latest figures ...

ConspectusThe unique photon emission signatures of trivalent lanthanide cations (Ln3+, where Ln = Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, and Yb) enables multicolor emission from semiconductor ...