User:ScienceForScotland

Science For Scotland is dedicated to the cultivation of Science in Scotland.

Maxwell's Equations

 * {| class="wikitable" style="text-align: center;"

! scope="col" style="width: 15em;" | Name ! scope="col" | Integral equations ! scope="col" | Differential equations ! scope="row" | Gauss's law ! scope="row" | Gauss's law for magnetism ! scope="row" | Maxwell–Faraday equation (Faraday's law of induction) ! scope="row" | Ampère's circuital law (with Maxwell's correction)
 * $$\nabla \cdot \mathbf{E} = \frac {\rho} {\varepsilon_0}$$
 * $$\nabla \cdot \mathbf{E} = \frac {\rho} {\varepsilon_0}$$
 * $$\nabla \cdot \mathbf{B} = 0$$
 * $$\nabla \cdot \mathbf{B} = 0$$
 * $$\oint_{\partial \Sigma} \mathbf{E} \cdot \mathrm{d}\boldsymbol{\ell} = - \frac{d}{dt} \iint_{\Sigma} \mathbf{B} \cdot \mathrm{d}\mathbf{S} $$
 * $$\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}$$
 * $$\oint_{\partial \Sigma} \mathbf{B} \cdot \mathrm{d}\boldsymbol{\ell} = \mu_0 \iint_{\Sigma} \left(\mathbf{J} + \varepsilon_0 \frac{\partial \mathbf E}{\partial t} \right)\cdot \mathrm{d}\mathbf{S}$$
 * $$\nabla \times \mathbf{B} = \mu_0\left(\mathbf{J} + \varepsilon_0 \frac{\partial \mathbf{E}} {\partial t} \right) $$
 * }
 * }

Scotland's Knowledge Hubs

 * 1) Royal Society of Edinburgh
 * 2) Royal Medical Society
 * 3) Royal Zoological Society of Scotland
 * 4) National Library of Scotland