I worked out a new equation – simpler than the previous one – and began to solve it in loops. What this means is that you approach the solution step by step, i.e. loop by loop, by calculating ...

“I mean, it’s the first time you really have [these] solutions which are not unique.” Fluids are inherently difficult to describe, as their constituent molecules don’t move as one. To account for this ...

To solve an equation, more than one step may be needed to find the unknown variable. Remember to check your answer by substituting the solution back into the original equation. The unknown ...

For the same reason more than one person solves most other ... In most cases, nice, elegant, closed form solutions do not exist, so the equations need to be solved numerically.

The equations in question are Maxwell's ... Of the remaining two solutions, one has a positive frequency and travels with the generating pulse, allowing it to be amplified. This is commonly ...