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 Oct 17 awarded Popular Question Sep 24 awarded Autobiographer Aug 29 comment Where to go with Mathematics? @Patrick Math can be an art, but I'm willing to bet math was first discovered/invented by a need to describe real world things, like live stock, rocks, arrow heads, etc. Sure, today you can do theoretical math (like 5 dimensional stuff) that may or may not apply to real world practicality. I firmly believe math can be an art to some, but that it arose from need. Nov 11 awarded Nice Question Apr 4 accepted What is, how do you use, and why do you use differentials? What are their practical uses? Nov 29 awarded Commentator Nov 29 comment What is, how do you use, and why do you use differentials? What are their practical uses? I see where using the derivative to determine small differentials might be be slightly inaccurate, but much easier in situations where determining the anti-derivative might be extremely complex. Nov 29 comment What is, how do you use, and why do you use differentials? What are their practical uses? I couldn't understand what they meant by the second equation being the differential of the first. It makes more sense to say that the second equation is the derivative of the first and can be used to find small differentials of the variables in the first equation. In this new light (better verbage by using "derivative" instead of "differential" to describe the second equation as it relates to the first), I'd rather just use the original equation for finding changes in the values since I already know what the original equation is and don't have to find any sort of anti-derivative. Nov 28 comment What is, how do you use, and why do you use differentials? What are their practical uses? Hmmmm... I guess perhaps I'm confused by the wording. I replaced "differential" with "derivative" and it makes much more sense: $d_s\cos\theta d\theta=md\lambda$ is the derivative of $d_s\sin\theta=m\lambda$. Now it makes perfect sense. The word "differential" was making me think of the integral for some reason. Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? added 5 characters in body Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? added 5 characters in body Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? added 196 characters in body Nov 28 comment What is, how do you use, and why do you use differentials? What are their practical uses? Those are nice answers Arturo. What are some practical ways to use differentials? Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? added 2 characters in body Nov 28 comment What is, how do you use, and why do you use differentials? What are their practical uses? Sure. I also had fixed a typo: the first equation uses $\sin$, not $\cos$. Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? fixed mistakes, formatting. Nov 28 revised What is, how do you use, and why do you use differentials? What are their practical uses? better title Nov 28 comment What is, how do you use, and why do you use differentials? What are their practical uses? Aha, I see how to do it in the source. Pretty nice. Nov 28 asked What is, how do you use, and why do you use differentials? What are their practical uses? Mar 11 comment How do you do a cross product of two $3 \times 3$ boolean matrices? It means "A dot B"