Difference between revisions of "Function Conjunction"

Revision as of 11:51, 21 April 2016

Constant	Coefficient	Quantity	Proximity	Dislocation	Direction
Examples: $\mu_0, \epsilon_0$ $k_B, \alpha, c$	Examples: $\mu_r, \epsilon_r$ $N$	Examples: $q,\lambda_q,\sigma_q,\rho_q$ $m,\rho$	Examples: $\frac{1}{\|\mathbf{r}\|}, \frac{1}{\|\mathbf{r}\|^2}$	Examples: $\mathbf{r}, \frac{d^2\mathbf{r}}{dt^2}, \frac{d^3\mathbf{r}}{dt^3}$ $\mathbf{r'}, \frac{d^2\mathbf{r'}}{dt^2}, \frac{d^3\mathbf{r'}}{dt^3}$ $\mathbf{x}, \mathbf{v}, \mathbf{a}, \beta$	Examples: $\mathbf{\hat{r}},\mathbf{\hat{\dot{r}}},\mathbf{\hat{\ddot{r}}}$ $\mathbf{\hat{x}}, \mathbf{\hat{v}}, \mathbf{\hat{a}}$

$\mathbf{\varphi}$ of a point charge $q$ :

$\mathbf{A}$ of a moving point charge $q$ :

@@ Line 24: / Line 24: @@
 ''<math>\mathbf{\varphi}</math> of a point charge <math>q</math>'':
-<math>\mathbf{\varphi}\left(\mathbf r,r'\right) = \underset{constant}{\frac{q}{4\pi\ \epsilon_0}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}}</math>
+<math>\mathbf{\varphi}\left(\mathbf{r},\mathbf{r'}\right) = \underset{constant}{\frac{q}{4\pi\ \epsilon_0}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}}</math>
 ===Magnetic vector potential <math>A</math>===
@@ Line 30: / Line 30: @@
 ''<math>\mathbf{A}</math> of a moving point charge <math>q</math>'':
-<math>\mathbf{A}\left(\mathbf(r,r')\right) = \underset{constant}{\frac{\mu_0\ q}{4\pi}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}} \times \underset{dislocation}{\mathbf{v}}</math>
+<math>\mathbf{A}\left(\mathbf{r},\mathbf{r'},\mathbf{v}\right) = \underset{constant}{\frac{\mu_0\ q}{4\pi}} \times \underset{proximity}{\frac{1}{|\mathbf{r}-\mathbf{r'}|}} \times \underset{dislocation}{\mathbf{v}}</math>