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Merge pull request #33 from bernardosulzbach/typos
Fix typos in REFERENCE.md
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REFERENCE.md

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@@ -12,7 +12,7 @@ in this file. All operations in input files are assumed to be over
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real numbers. FPTaylor models floating-point arithmetic with rounding
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operations. The basic analysis which FPTaylor performs is the
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following. Suppose the input file contains an expression `expr`
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containing some variables (for simplicity, assume that is depends on
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containing some variables (for simplicity, assume that it depends on
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one variable `x`) and some rounding operations. FPTaylor constructs
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another expression `expr'` without rounding operations and estimates
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the maximum value of the difference
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### Constraints
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Each variable have lower and upper bounds. Additional constraints can
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Each variable has lower and upper bounds. Additional constraints can
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be defined in the following section
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Constraints
@@ -349,7 +349,7 @@ if `type` is `up`, `down`, or `zero`. There is one special value for
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FPTaylor also can work with an improved rounded model where the
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expression `f e` is replaced with `p2(f)e`. The function `p2` is a
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special function which improves the result of the rounding
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approximation. In general, the imporved rounding model leads to more
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approximation. In general, the improved rounding model leads to more
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complicated problems for FPTaylor to solve. It can be turned on with a
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special option.
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@@ -456,7 +456,7 @@ error.
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Possible values: `true`, `false`.
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Turns on or off the impoved rounding model. The improved rounding
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Turns on or off the improved rounding model. The improved rounding
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model yields better error estimation results but it also produces
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harder problems for optimization backends to solve. It may be not
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supported by some optimization backends.

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