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mlubin authored Jan 13, 2019
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29 changes: 18 additions & 11 deletions docs/src/quickstart.md
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Expand Up @@ -35,9 +35,14 @@ CachingOptimizer state: NO_OPTIMIZER
Solver name: No optimizer attached.
```

!!! note
The term "solver" is used as a synonym for "optimizer". The convention in
code, however, is to always use "optimizer", e.g., `with_optimizer` and
`GLPK.Optimizer`.

```@meta
DocTestSetup = quote
# Using a caching optimizer removes the need to # load a solver such as GLPK
# Using a caching optimizer removes the need to load a solver such as GLPK
# for building the documentation.
const MOI = JuMP.MathOptInterface
model = Model(with_optimizer(MOI.Utilities.MockOptimizer,
Expand All @@ -49,10 +54,8 @@ end
!!! note
Your model doesn't have to be called `model` - it's just a name.

There are a few options for defining a variable, depending on whether you want
to have lower bounds, upper bounds, both bounds, or even no bounds. The
following commands will create two variables, `x` and `y`, with both lower and
upper bounds. Note the first argument is our model variable ``model``. These
The following commands will create two variables, `x` and `y`, with both lower
and upper bounds. Note the first argument is our model variable `model`. These
variables are associated with this model and cannot be used in another model.
```jldoctest quickstart_example
julia> @variable(model, 0 <= x <= 2)
Expand All @@ -61,7 +64,9 @@ x
julia> @variable(model, 0 <= y <= 30)
y
```
See the [Variables](@ref) section for more information on creating variables.
See the [Variables](@ref) section for more information on creating variables,
including the syntax for specifying different combinations of bounds, i.e.,
only lower bounds, only upper bounds, or no bounds.

```@meta
DocTestSetup = nothing
Expand All @@ -71,8 +76,10 @@ Next we'll set our objective. Note again the `model`, so we know which model's
objective we are setting! The objective sense, `Max` or `Min`, should be
provided as the second argument. Note also that we don't have a multiplication
`*` symbol between `5` and our variable `x` - Julia is smart enough to not need
it! Feel free to stick with `*` if it makes you feel more comfortable, as we
have done with `3 * y`. (We have been intentionally inconsistent here to demonstrate different syntax; however, it is good practice to pick one way or the other consistently in your code.)
it! Feel free to use `*` if it makes you feel more comfortable, as we have done
with `3 * y`. (We have been intentionally inconsistent here to demonstrate
different syntax; however, it is good practice to pick one way or the other
consistently in your code.)
```jldoctest quickstart_example
julia> @objective(model, Max, 5x + 3 * y)
5 x + 3 y
Expand Down Expand Up @@ -112,8 +119,8 @@ DocTestSetup = quote
end
```

After the call to `JuMP.optimize!` has finished, we need to understand why the
optimizer stopped. This can be for a number of reasons. First, the solver might
After the call to `JuMP.optimize!` has finished, we need to query what happened.
The solve could terminate for a number of reasons. First, the solver might
have found the optimal solution, or proved that the problem is infeasible.
However, it might also have run into numerical difficulties, or terminated due
to a setting such as a time limit. We can ask the solver why it stopped using
Expand Down Expand Up @@ -166,7 +173,7 @@ julia> JuMP.dual(con)
```

!!! info
See [constraint duality section](@ref constraint_duality) for a discussion
See the [duality section](@ref constraint_duality) for a discussion
of the convention that JuMP uses for signs of duals.

To query the dual variables associated with the variable bounds, things are a
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