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Merge pull request #33 from bernardosulzbach/typos
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Fix typos in REFERENCE.md
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monadius authored Sep 1, 2024
2 parents efbbc83 + 1b0eb1c commit b5a77ca
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8 changes: 4 additions & 4 deletions REFERENCE.md
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Expand Up @@ -12,7 +12,7 @@ in this file. All operations in input files are assumed to be over
real numbers. FPTaylor models floating-point arithmetic with rounding
operations. The basic analysis which FPTaylor performs is the
following. Suppose the input file contains an expression `expr`
containing some variables (for simplicity, assume that is depends on
containing some variables (for simplicity, assume that it depends on
one variable `x`) and some rounding operations. FPTaylor constructs
another expression `expr'` without rounding operations and estimates
the maximum value of the difference
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### Constraints

Each variable have lower and upper bounds. Additional constraints can
Each variable has lower and upper bounds. Additional constraints can
be defined in the following section

Constraints
Expand Down Expand Up @@ -349,7 +349,7 @@ if `type` is `up`, `down`, or `zero`. There is one special value for
FPTaylor also can work with an improved rounded model where the
expression `f e` is replaced with `p2(f)e`. The function `p2` is a
special function which improves the result of the rounding
approximation. In general, the imporved rounding model leads to more
approximation. In general, the improved rounding model leads to more
complicated problems for FPTaylor to solve. It can be turned on with a
special option.

Expand Down Expand Up @@ -456,7 +456,7 @@ error.

Possible values: `true`, `false`.

Turns on or off the impoved rounding model. The improved rounding
Turns on or off the improved rounding model. The improved rounding
model yields better error estimation results but it also produces
harder problems for optimization backends to solve. It may be not
supported by some optimization backends.
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