Fix use of scientific notation in TeX

Author: abhro

lib/DAEProblemLibrary/src/DAEProblemLibrary.jl

@@ -28,7 +28,7 @@ The Robertson biochemical reactions in DAE form
 ```
 where ``k₁=0.04``, ``k₂=3\times10^7``, ``k₃=10^4``. For details, see:
 Hairer Norsett Wanner Solving Ordinary Differential Equations I - Nonstiff Problems Page 129
-Usually solved on ``[0,1e11]``
+Usually solved on ``[0,10^{11}]``
 """
 prob_dae_resrob = DAEProblem(f, du0, u0, (0.0, 100000.0))
 

lib/DDEProblemLibrary/src/radar5.jl

@@ -26,7 +26,7 @@ for ``t \in [0, 100.5]`` with history function
 \end{align*}
 ```
 
-for ``t \leq 0``, where ``k_1 = 1.34``, ``k_2 = 1.6e9``, ``k_3 = 8000``, ``k_4 = 4e7``,
+for ``t \leq 0``, where ``k_1 = 1.34``, ``k_2 = 1.6×10^9``, ``k_3 = 8000``, ``k_4 = 4×10^7``,
 ``k_5 = 1``, ``f = 1``, ``A = 0.06``, ``B = 0.06``, and ``\tau = 0.15``.
 
 # References
@@ -82,9 +82,9 @@ by
 \end{align*}
 ```
 
-for ``t \in [0, 10e10]`` with history function ``\phi_1(0) = 1``, ``\phi_2(t) = 0`` for
+for ``t \in [0, 10^{10}]`` with history function ``\phi_1(0) = 1``, ``\phi_2(t) = 0`` for
 ``t \in [-\tau, 0]``, and ``\phi_3(0) = 0``, where ``a = 0.04``, ``b = 10_000``,
-``c = 3e7``, and ``\tau = 0.01``.
+``c = 3×10^7``, and ``\tau = 0.01``.
 
 # References
 
@@ -153,8 +153,8 @@ for ``t \in [0, 300]`` with history function
 \end{align*}
 ```
 
-for ``t \leq 0``, where ``\alpha = 1.8``, ``\beta = 20``, ``\gamma = 0.002``, ``r = 5e4``,
-``s = 1e5``, ``t_0 = 32``, ``t_1 = 119``, and ``\phi_0 = 0.75e-4``.
+for ``t \leq 0``, where ``\alpha = 1.8``, ``\beta = 20``, ``\gamma = 0.002``, ``r = 5\times10^4``,
+``s = 10^5``, ``t_0 = 32``, ``t_1 = 119``, and ``\phi_0 = 0.75×10^{-4}``.
 
 # References
 
@@ -218,7 +218,7 @@ const prob_dde_RADAR5_waltman_1 = prob_dde_RADAR5_waltman
     prob_dde_RADAR5_waltman_2
 
 Same delay differential equation as [`prob_dde_RADAR5_waltman`] with ``t_0 = 32``,
-``t_1 = 111``, and ``\phi_0 = 0.5e-4``.
+``t_1 = 111``, and ``\phi_0 = 0.5×10^{-4}``.
 
 # References
 
@@ -232,7 +232,7 @@ const prob_dde_RADAR5_waltman_2 = remake(prob_dde_RADAR5_waltman;
     prob_dde_RADAR5_waltman_3
 
 Same delay differential equation as [`prob_dde_RADAR5_waltman`] with ``t_0 = 33``,
-``t_1 = 145``, and ``\phi_0 = 1e-5``.
+``t_1 = 145``, and ``\phi_0 = 10^{-5}``.
 
 # References
 
@@ -246,7 +246,7 @@ const prob_dde_RADAR5_waltman_3 = remake(prob_dde_RADAR5_waltman;
     prob_dde_RADAR5_waltman_4
 
 Same delay differential equation as [`prob_dde_RADAR5_waltman`] with ``t_0 = 34``,
-``t_1 = 163``, and ``\phi_0 = 0.75e-5``.
+``t_1 = 163``, and ``\phi_0 = 0.75×10^{-5}``.
 
 # References
 
@@ -260,7 +260,7 @@ const prob_dde_RADAR5_waltman_4 = remake(prob_dde_RADAR5_waltman;
     prob_dde_RADAR5_waltman_5
 
 Same delay differential equation as [`prob_dde_RADAR5_waltman`] with ``t_0 = 35``,
-``t_1 = 197``, and ``\phi_0 = 0.5e-5``.
+``t_1 = 197``, and ``\phi_0 = 0.5×10^{-5}``.
 
 # References
 

lib/ODEProblemLibrary/src/ode_simple_nonlinear_prob.jl

@@ -130,7 +130,7 @@ where ``k₁=0.04``, ``k₂=3\times10^7``, ``k₃=10^4``. For details, see:
 
 Hairer Norsett Wanner Solving Ordinary Differential Equations I - Nonstiff Problems Page 129
 
-Usually solved on ``[0,1e11]``
+Usually solved on ``[0,10^{11}]``
 """
 prob_ode_rober = ODEProblem(rober, [1.0, 0.0, 0.0], (0.0, 1e11), [0.04, 3e7, 1e4])
 
@@ -414,7 +414,7 @@ w (y_1 - y_3)
 \end{pmatrix}
 ```
 
-where ``s=77.27``, ``w=0.161`` and ``q=8.375⋅10^{-6}``.
+where ``s=77.27``, ``w=0.161`` and ``q=8.375×10^{-6}``.
 
 Reference: [demoorego.pdf](http://www.radford.edu/~thompson/vodef90web/problems/demosnodislin/Demos_Pitagora/DemoOrego/demoorego.pdf)
 Notebook: [Orego.ipynb](http://nbviewer.jupyter.org/github/JuliaDiffEq/DiffEqBenchmarks.jl/blob/master/StiffODE/Orego.ipynb)

lib/ODEProblemLibrary/src/strange_attractors.jl

@@ -252,7 +252,7 @@ Hindmarsh-Rose equations
 \end{align*}
 ```
 
-with parameters ``a=1, b=3, c=1, d=5, r=1e-2, s=4, x_r=-8/5, i=5`` and initial conditions ``x(0)=1, y(0)=0, z(0)=0``
+with parameters ``a=1, b=3, c=1, d=5, r=10^{-2}, s=4, x_r=-8/5, i=5`` and initial conditions ``x(0)=1, y(0)=0, z(0)=0``
 
 [Reference](https://en.wikipedia.org/wiki/Hindmarsh%E2%80%93Rose_model)
 """