Sentence examples for necessary for the functions from inspiring English sources

If (k=0 ), then it is necessary for the functions (varphi(x)) and (psi(x)) to satisfy the following conditions: (varphi(0)=varphi(p)=0 ), (psi(0)=psi (q)=0).

The following year, Frederick Hopkins postulated that some foods contained "accessory factors" — in addition to proteins, carbohydrates, fats etc. — that are necessary for the functions of the human body.

This observation indicates that the association with an AT-hook motif is not necessary for the functions of the PPC protein/domain in prokaryotes and early eukaryotes.

The proteins from OsBgal2, OsBgal7 and OsBgal9 lack the Gal-lectin-like domain, suggesting that it is not necessary for the functions of these rice GH35 members.

He likened the role of the United States to a "pillar" necessary for the functioning of the Iraqi state.

Whatever role iron has in regulating mood and behaviour may be related to the fact that it is necessary for the functioning of dopamine - a brain chemical that has diverse effects on physical and mental processes.

In this type, body fluid pressure, maintained by muscle tension beneath the body wall, provides the firmness necessary for the function of muscles involved in movement.

In a statement, it said: "The advocate general rejects the idea that a prohibition on employees wearing religious attire when in contact with customers of their employer's business may be necessary for the protection of individual rights and freedoms necessary for the functioning of a democratic society".

The hydroxyl group on the ribose ring of the terminal A of the 3′-CCA sequence acts as the amino acid acceptor necessary for the function of RNA in protein building.

For instance, an architecturally interesting bike rack is not copyrightable if the design is necessary for the function.

"We're looking for the projects where the token is actually absolutely necessary for the function of the network," he said.