Questions tagged [derivation-of-formulae]

81 questions
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How do I derive the alveolar gas equation?

I'm taking medical physiology and of course, none of the equations are properly explained. The closest I've been able to get is this page. Even here however, steps from equations 14 to equation 15 is waved away as "careful algebraic…
Magnus
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Deriving Newton’s gravitational potential through Poisson’s equation for gravitational field.

I am trying to derive Newton’s gravitational potential $\phi_N = -\frac{GM}{r}$ from Poisson’s equation $\Delta \phi_N = 4\pi G\rho$, where G is the gravitational constant, M is the mass of which the potential is being measured, r is point of…
Sunny
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The problem of deriving the formula, the left term of the equation is missing 1/2

The derivation in the paper: $$ V=-\frac{\left( kT/e \right) \left( x+ct \right)}{ct},\ E=\frac{kT/\left( ec \right)}{t} $$ $$ \left\{ \begin{array}{l} \varepsilon _0\dfrac{\mathrm{d}^2V}{\mathrm{d}x^2}=n_0e\left[ \exp \left( \dfrac{eV}{kT} \right)…
Vancheers
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What is the name of this equation and what do the variables mean?

click here to view equation I came across this (Friedmann) equation here: https://www.physicsforums.com/threads/how-to-calculate-age-of-universe-with-a-certain-redshift.69285/ I want to use it but am not sure what it means. Could somebody provide…
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Looking for a formula to find the angle to a point that creates two perpendicular lines to two other points.

I've been trying to create a formula that finds the angle with respect to the x-axis to a point from some origin point. This new point must create lines to both the origin point and to some other point that must be perpendicular. Diagram to show…