From S.H.O.
The Anatomy of a Physical Expression
| Constant
|
Coefficient
|
Quantity
|
Proximity
|
Dislocation
|
Direction
|
Examples:
[math]\mu_0, \epsilon_0[/math]
[math]k_B, \alpha, c[/math]
|
Examples:
[math]\mu_r, \epsilon_r[/math]
[math]N[/math]
|
Examples:
[math]q,\lambda_q,\sigma_q,\rho_q[/math]
[math]m,\rho[/math]
|
Examples:
[math]\frac{1}{|\mathbf{r}|}, \frac{1}{|\mathbf{r}|^2}[/math]
|
Examples:
[math]\mathbf{r}, \frac{d^2\mathbf{r}}{dt^2}, \frac{d^3\mathbf{r}}{dt^3}[/math]
[math]\mathbf{r'}, \frac{d^2\mathbf{r'}}{dt^2}, \frac{d^3\mathbf{r'}}{dt^3}[/math]
[math]\mathbf{x}, \mathbf{v}, \mathbf{a}, \beta[/math]
|
Examples:
[math]\mathbf{\hat{r}},\mathbf{\hat{\dot{r}}},\mathbf{\hat{\ddot{r}}}[/math]
[math]\mathbf{\hat{x}}, \mathbf{\hat{v}}, \mathbf{\hat{a}}[/math]
|
Functions Composed of Physical Expressions
Electric scalar potential [math]\mathbf{\varphi}[/math]
[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]
Magnetic vector potential [math]A[/math]
[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]
