Mathematical English Usage - a Glossary

by Jerzy Trzeciak

idea

[see also: concept, notion, objective]

Some of the basic ideas from functional analysis are also included.

The main idea of the proof is to take......

The idea behind our use of the σ's is that......

The idea is to relax the constraint of being a weight function in Theorem 3.

It is this idea that underlies some of the results of [2].

This idea goes back at least as far as [3].

Apart from a few embellishments necessitated by some technical difficulties, the ideas differ very little from those used to prove Lemma 4.

Our proof of Theorem 2 is based upon ideas found in [BN].

The proof makes use of many of the ideas of the general case, but in a simpler setting.

Although the idea is simple, its implementation is complicated by the fact that......

It is a pleasure to thank R. Greenberg for bringing his criterion for...... to our attention, and for generously sharing his ideas about it.

We shall draw heavily on ideas from [3].


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