I want to derive the equation of motion for the an average skydiver free falling to earth with air resistance, most the solution online doesn't use the drag force formula to avoid making the problem
An equation is any expression with an equals sign, so your example is by definition an equation. Equations appear frequently in mathematics because mathematicians love to use equal signs. A formula is a set of instructions for creating a desired result. Non-mathematical examples include such things as chemical formulas (two H and one O make H2O), or the formula for Coca-Cola (which is just a ...
It seems to me an equation, in an abstract sense, must always involve some varying quantities where the varying quantities belong in some space (set, algebraic structure, what have you). In order to
If we want an equation $f (x, y)$ for the line, the domain of $f$ can only be the shadow of the line on the $xy$ plane. But any nice function $f$ will have as a domain either all pairs $ (x, y)$, or almost all of them.
What is the equation for a 3D line? - Mathematics Stack Exchange
(The polar equation above avoids this, because the center is not fixed at the origin.) Of course, as Intelligenti pauca points out, there is the general second degree equation - but this hides the eccentricity.
geometry - Is there a unified equation for ellipses, parabolas, and ...
The concern over electromagnetic fields (EMFs) has grown significantly in a world increasingly dominated by electronic devices. With everything from smartphones and Wi-Fi routers to microwaves and ...