# Changeset df89d77 in sasmodels

Ignore:
Timestamp:
Mar 20, 2017 12:39:44 PM (3 years ago)
Branches:
master, core_shell_microgels, costrafo411, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
Children:
3a45c2c
Parents:
4788822
Message:

fractal: fix inline equations; use alternate form of multiline equation that works with sascomp -html as well

File:
1 edited

### Legend:

Unmodified
 r4788822 .. math:: P(q)&= F(qR_0)^2 F(q)&= \frac{3 (\sin x - x \cos x)}{x^3} V_\text{particle} &= \frac{4}{3}\ \pi R_0 P(q)&= F(qR_0)^2 \\ F(q)&= \frac{3 (\sin x - x \cos x)}{x^3} \\ V_\text{particle} &= \frac{4}{3}\ \pi R_0 \\ S(q) &= 1 + \frac{D_f\  \Gamma\!(D_f-1)}{[1+1/(q \xi)^2\  ]^{(D_f -1)/2}} \frac{\sin[(D_f-1) \tan^{-1}(q \xi) ]}{(q R_0)^{D_f}} is the fractal dimension, representing the self similarity of the structure. Note that S(q) here goes negative if $D_f$ is too large, and the Gamma function diverges at $D_f$=0 and $D_f$=1. diverges at $D_f=0$ and $D_f=1$. **Polydispersity on the radius is provided for.**