Observations on nodal and loop analysis that can save a fair amount of scribbling of equations when using Kirchhoff's laws. In a previous Idea for Design, Anshi Chen outlined a method for analyzing ...

"Even the +, −, =, and x signs we take for granted only came into widespread use in the 17th century. Which means that the earlier algebraists we know of … all had expressed their equations mostly in ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...