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update readme with latex code #41

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12 changes: 7 additions & 5 deletions README.md
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Expand Up @@ -35,14 +35,16 @@ Modern Fortran standards (2003+) have introduced support for Object-Oriented Pro

The FOODIE environment allows the (numerical) solution of general, non linear differential equations system of the form:

![IVP](https://raw.githubusercontent.com/wiki/Fortran-FOSS-Programmers/FOODIE/images/IVP.png)
$$U_t = R(t, U)$$

$$U_0 = F$$

where:

+ *U_t = dU/dt*;
+ *U* is the vector of *state* variables being a function of the time-like independent variable *t*;
+ *R* is the (vectorial) residual function, it could be a non linear function of the solution *U* itself;
+ *F* is the (vectorial) initial conditions function.
+ $U_t = \frac{dU}{dt}$;
+ $U$ is the vector of *state* variables being a function of the time-like independent variable $t$;
+ $R$ is the (vectorial) residual function, it could be a non linear function of the solution $U$ itself;
+ $F$ is the (vectorial) initial conditions function.

The FOODIE has two main purposes:

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