- Timestamp:
- Oct 30, 2018 10:28:33 AM (5 years ago)
- Branches:
- master, core_shell_microgels, magnetic_model, ticket-1257-vesicle-product, ticket_1156, ticket_1265_superball, ticket_822_more_unit_tests
- Children:
- c6084f1
- Parents:
- df87acf (diff), 57c609b (diff)
Note: this is a merge changeset, the changes displayed below correspond to the merge itself.
Use the (diff) links above to see all the changes relative to each parent. - git-author:
- Paul Kienzle <pkienzle@…> (10/30/18 10:28:33)
- git-committer:
- GitHub <noreply@…> (10/30/18 10:28:33)
- Location:
- sasmodels
- Files:
-
- 1 added
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
sasmodels/special.py
rdf69efa rfba9ca0 113 113 The standard math function, tgamma(x) is unstable for $x < 1$ 114 114 on some platforms. 115 116 sas_gammaln(x): 117 log gamma function sas_gammaln\ $(x) = \log \Gamma(|x|)$. 118 119 The standard math function, lgamma(x), is incorrect for single 120 precision on some platforms. 121 122 sas_gammainc(a, x), sas_gammaincc(a, x): 123 Incomplete gamma function 124 sas_gammainc\ $(a, x) = \int_0^x t^{a-1}e^{-t}\,dt / \Gamma(a)$ 125 and complementary incomplete gamma function 126 sas_gammaincc\ $(a, x) = \int_x^\infty t^{a-1}e^{-t}\,dt / \Gamma(a)$ 115 127 116 128 sas_erf(x), sas_erfc(x): … … 207 219 from numpy import pi, nan, inf 208 220 from scipy.special import gamma as sas_gamma 221 from scipy.special import gammaln as sas_gammaln 222 from scipy.special import gammainc as sas_gammainc 223 from scipy.special import gammaincc as sas_gammaincc 209 224 from scipy.special import erf as sas_erf 210 225 from scipy.special import erfc as sas_erfc -
sasmodels/models/spinodal.py
r475ff58 r93fe8a1 12 12 where $x=q/q_0$, $q_0$ is the peak position, $I_{max}$ is the intensity 13 13 at $q_0$ (parameterised as the $scale$ parameter), and $B$ is a flat 14 background. The spinodal wavelength is given by $2\pi/q_0$. 14 background. The spinodal wavelength, $\Lambda$, is given by $2\pi/q_0$. 15 16 The definition of $I_{max}$ in the literature varies. Hashimoto *et al* (1991) 17 define it as 18 19 .. math:: 20 I_{max} = \Lambda^3\Delta\rho^2 21 22 whereas Meier & Strobl (1987) give 23 24 .. math:: 25 I_{max} = V_z\Delta\rho^2 26 27 where $V_z$ is the volume per monomer unit. 15 28 16 29 The exponent $\gamma$ is equal to $d+1$ for off-critical concentration … … 28 41 29 42 H. Furukawa. Dynamics-scaling theory for phase-separating unmixing mixtures: 30 Growth rates of droplets and scaling properties of autocorrelation functions. 31 Physica A 123,497 (1984). 43 Growth rates of droplets and scaling properties of autocorrelation functions. 44 Physica A 123, 497 (1984). 45 46 H. Meier & G. Strobl. Small-Angle X-ray Scattering Study of Spinodal 47 Decomposition in Polystyrene/Poly(styrene-co-bromostyrene) Blends. 48 Macromolecules 20, 649-654 (1987). 49 50 T. Hashimoto, M. Takenaka & H. Jinnai. Scattering Studies of Self-Assembling 51 Processes of Polymer Blends in Spinodal Decomposition. 52 J. Appl. Cryst. 24, 457-466 (1991). 32 53 33 54 Revision History … … 35 56 36 57 * **Author:** Dirk Honecker **Date:** Oct 7, 2016 37 * **Revised:** Steve King **Date:** Sep 7, 201858 * **Revised:** Steve King **Date:** Oct 25, 2018 38 59 """ 39 60
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