Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

part

This is part of a larger project to study the Galois groups of periodic points of arbitrary polynomial maps.

Part of the conclusion is that F moves each z closer to the origin than it was.

The equality f=g, which is part of Theorem 2, implies......

This is the hard part of Jones's theorem.

The “if'' part is straightforward.

Translations have already played an important part in our study of Fourier transforms.

The key part is to show that the submanifolds Uk fit together to form a complex submanifold.

Mary Lane deserves our special thanks for her part in bringing this volume to a successful completion.

Definition 3 is motivated in part by certain differential operators to be introduced in Section 3.

This paper, for the most part, continues this line of investigation.



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