Sentence examples similar to needed proposition from inspiring English sources

As a main tool, we need Proposition 1 of Kim [5].

For proving the results, we need Proposition 2.1 on monetary utility functions.

Induction of partial identities starts from a certain premise in disjunctive form A = B ·|· C ·|· D ·|· … ·|· P ·|· Q, and then we need propositions that ascribe a certain property to all individuals: B = BX, C = CX, …, Q = QX.

To see this we need another proposition.

A significant number of requests is needed before any proposition can be made to the user.

To maximize the potential of microbes for biosynthetic purposes, new tools and methodologies within Metabolic Engineering are needed for the proposition and construction of de novo designed pathways.

Our main goal is to obtain a solvability theorem under assumptions weaker than those that would be needed when applying Proposition 3.1.

They are working to continue educating the public and building support for marriage in the state in anticipation of the ballot-measure that may be needed to repeal Proposition 8 as soon as 2012.

We need the propositions of averaged mappings and inverse strongly monotone mappings.

The need for quality research and independent evidence about innovation and what works in policy and service delivery has never been greater and one project at Birmingham city council highlights why this is a much-needed proposition.

Section 2 presents definitions and some well-known technical propositions needed for the proof of the main results.