Mathematical English Usage - a Glossary

by Jerzy Trzeciak

result

1
[see also: consequence, effect, outcome, achievement] Let n→∞, applying Lemma 5. The result is......

As a result, B is isomorphic to C.

As usual, we can rephrase the above result as a uniqueness theorem.  

2
 The resulting formula exhibits u as the Laplace transform of x.

We can solve the resulting equations successively for c1,...,cn.

Their study resulted in proving the conjecture for......

The demand that each entry be a perfect square results in nine equations. [Note the subjunctive be.]

Lebesgue discovered that a satisfactory theory of integration results if the sets Ei are allowed to belong to a larger class of subsets of the line.

Less than 1 in p of its points will result in a quartic with ideal class number p.

[Do not write “It results that'' if you mean It follows that.]


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