Sentence examples for mean a field from inspiring English sources

Of course, here 'field' is not intended to mean a field in the sense of quantum field theory.

Definition 1.1 By a non-Archimedean field we mean a field equipped with a function (valuation) | ⋅ | : K → [ 0, ∞ ) such that, for all r, s ∈ K, the following conditions hold: (a)  | r | = 0 if and only if r = 0 ; (b) | r s | = | r | | s | ; (c) | r + s | ≤ max { | r |, | s | }.

By a non-Archimedean field we mean a field K equipped with a function (valuation) | · | from K into [0, ∞] such that |r| = 0 if and only if r = 0, |rs| = |r| |s|, and |r + s| ≤ max{|r|, |s|} for all r, s ∈ K. Clearly |1| = | -1| = 1 and |n| ≤ 1 for all n ∈ ℕ.

Definition 1.1 By a non-Archimedean field, we mean a field K equipped with a function (valuation) | ⋅ | : K → [ 0, ∞ ) such that for all r, s ∈ K, the following conditions hold: (1) | r | = 0 if and only if r = 0 ;   (2) | r s | = | r | | s | ;   (3) | r + s | ≤ max { | r |, | s | }.  .

By a non-Archimedean field we mean a field K Open image in new window equipped with a function (valuation) | · | : K → [ 0, ∞ ) Open image in new window such that for all r, s ∈ K Open image in new window, the following conditions hold: (a) |r|=0 if and only if r=0; (b) |r s|=|r||s|; and (c) |r+s|≤m a x{|r|,|s|}. Clearly, |1|=|−1|=1 and |n|≤1 for all n ∈ N Open image in new window.

All that competition means a field day for buyers.

If the underground fields leak too much, Shell is not interested a leaky field likely means a field that has been emptying for tens of thousands of years.

His name meant "pregnant heifer" and mine meant "a flat field along the fjord".

Whether that will mean a truly level playing field even for competitors remains to be seen.

A successful 2-point conversion would have meant that a field goal could only tie the game.

It is only 300 yards away, but to get there means crossing a field strewn with three types of mines.