## with the the or without the the

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Tukanja
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### with the the or without the the

Which of these four sentences are grammatically correct?

Gauss law, in vacuum, in integral form reads ∫EdS=Q/ε₀.
Gauss law, in vacuum, in the integral form reads ∫EdS=Q/ε₀.

(E, dS are vectors)
(S - closed area)

Gauss law, in vacuum, in mono-dimensional, differential form reads dEx/dx=ρ/ε₀
Gauss law, in vacuum, in the mono-dimensional, differential form reads dEx/dx=ρ/ε₀

Thanks

Vega
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### Re: with the the or without the the

I suppose it should be "in the integral form", because equations may be in different form: differential, linear, etc. And inteqral equations itself can be: definite and indefenite. So if there's two form of something you should speify it by using "the".

Tukanja
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### Re: with the the or without the the

Thanks Xkalibur.

Now it seems to me that there should be the the before the word vacuum as well.

Gauss law, in the vacuum, in the integral form reads ∫∫EdS=Q/ε₀.

What do you think about?

So as to support my opinion I want to remark that the ε₀ on the right side of the equation is an electrostatic vacuum parameter (the permeativity of the vacuum, the dielectric constant for the vacuum in the SI system). (SI ~ Standard International)
The other materials do have another electrostatic constant called the absolute permeativity ε or the relative permeativity εr (ε=εr X εo)

By the way does anyone know where to find letters and mathematical operators and signs which I need for mathematical formulas?
Is there any software program in which I could create the operators by myself which I would like to use.

Also I haven't found the words permeativity and dielectric in my very good E-dictionary that I am not sure they do exist in English actually.

Vega
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Posts: 2254
Joined: Tue Sep 19, 2006 2:59 pm
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### Re: with the the or without the the

Tukanja wrote:By the way does anyone know where to find letters and mathematical operators and signs which I need for mathematical formulas?

Microsoft Office Word 2007.

Tukanja wrote:Is there any software program in which I could create the operators by myself which I would like to use.

Yes. Here are some: Microsoft Student Graphing Calculator, MathLab, MathCAD.

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