Sentence examples for begin by summarizing some from inspiring English sources

We begin by summarizing some facts about the spectra of these matrices.

In Section 2 we begin by summarizing some statements concerning the q-translation operator T x, q studied in [2].

We begin by summarizing some of the earliest work on this topic and then move to a discussion of several approaches to job design that attempted to address the shortcomings of this work.

We begin by summarizing some exact results obtained by solving Laplace's equation for a homogeneous prolate spheroid in a uniform static external field [11, 12]; these are the benchmarks against which we assess the DDA-based simulations.

In this review, we begin by summarizing some of the efforts that have been made in various fields to identify prognostic biomarkers for prostate cancer.

We begin by summarizing how some of the key design techniques that we've explored can be used right now.

We begin by summarizing related work in §2.

We begin by summarizing the results of Wilson's seminal paper [7] on semimetric spaces.

I begin by summarizing the development of conventional, positivist-informed standards of research methods and ethics as represented by federal regulations and university Institutional Review Boards (IRBs).

We begin by summarizing recurrent challenges and promising approaches to professional development organized around a set of qualities that characterize effective learning.

We begin by summarizing the results that pertain to our three research questions in turn, with particular attention to the contributions of these results to the field.