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LonelyJar
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17 Nov 2015, 1:13 am

Some time ago, Henry Reich of MinutePhysics guest-starred on a Smarter Every Day video. At the end, there was this formula: ∂μFμv = Jv. Could someone please explain what it means?

Astronauts left reflectors and other PooP on the Moon! ft. MinutePhysics - Smarter Every Day 73



MDD123
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17 Nov 2015, 10:35 am

∂ is called dell, I've seen it used in partial derivatives

µ is called mu and it means micro in engineering notation.

F could mean different things (a lot of this could mean different things to tell you the truth). But F can mean Force or Farads, the latter being an electrical property.

v could mean velocity, could be a vector (like u or w). They usually capitalize it when they mean Voltage (although E is often preferred to decrease ambiguity) or Volume.

Joules is the only thing I could think of for J. It really depends on the person who wrote it and what field they work in, a lot of the greek symbols have multiple meanings/uses. It also depends whether it's a formula or an equation, a formula is mostly the idea of numbers, where an equation has actual numbers (and some unknowns).

The lettering scheme changes when you're solving things is what I'm saying. The formula for Ohm's Law is "E=IR" (voltage= current x resistance). If you were actually measuring some of these properties and wanted to solve for others, you'd see something like:
5V = (xA)*10Ω
where V is volts, x is an unknown number, A is amperes(an actual quantity of current), and Ω is ohms (an actual quantity of resistance).

Hope that made more sense than confusion.


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SippingSpiderVenom
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18 Nov 2015, 5:32 am

A quick google search provides a books result in "Mathematical tools for physicists", the equation shows under "Maxwell's Equations", though the form is a bit different. A comparison with the book's type it actually might look like ∂\sub(μ)F^(μv) = J^v
where \sub() denotes a subscript.

it could also be presented as
∂_μF^(μv) = J^v
where the _ denotes a subscript and a ^ denotes a power and the parentheses group the powers together.



https://books.google.com/books?id=V7dUONBrHF0C&pg=PA146&lpg=PA146&dq=%E2%88%82%CE%BCF%CE%BCv+%3D+Jv&source=bl&ots=EZ9c2qlmKC&sig=3zal-SWEIU0wI-0UKcVkRQsNKCE&hl=en&sa=X&ved=0CB4Q6AEwAGoVChMI3qbsyeCZyQIVSEGICh3qMQZf#v=onepage&q=%E2%88%82%CE%BCF%CE%BCv%20%3D%20Jv&f=false


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