Additional examples are adjusted to the entries in an automated way - we cannot guarantee that they are correct.
South's play was not best mathematically; she should have run the jack.
Mathematically we can still be caught, but the pressure is off.
It's all to play for with every team mathematically able to make it through to the last 16.
I mean it's impossible in every other way but mathematically.
One way we can do that is to model the climate mathematically.
"You cannot simply add things up mathematically and come to a yes/no conclusion."
We're not mathematically out of this thing, so the goal is to keep trying to win because you never know.
In this sense, the two circles are mathematically quite different.
The third chapter of the book is mathematically most interesting.
This is not, and by its nature cannot be, a mathematically precise test.
Mathematically we can still be caught, but we'd have to make a big mistake.
In these cases, the above three conditions are not mathematically equivalent.
Mathematically such planes can be described in a number of ways.
Such a mathematically based system would be neutral and fair.
"I'm not going to say anything until we're mathematically in," he said.
Mathematically, this system would not change the outcome of elections.
It is now mathematically certain that somebody hid her body.
However, since at least the 4th century, the date has been fixed mathematically.
From this point of view, there is nothing mathematically interesting about the principle.
The following discussion is at the physical level, but can be made mathematically strict.
It has become possible to model these dynamics mathematically in a rather effective way.
Although this is still mathematically possible going into the last two events, it has yet to occur.
If that were the case then, mathematically speaking, it would not exist.
It also gives us a lot of other information, derived mathematically from the analysis.
A pattern that its not random is known mathematically as information.