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Exact(14)
The case was submitted below on stipulated facts, and we begin with a summary.
The notes begin with a summary from the Undersecretary of State: "Unless we return to political arrangement we will all fry.
The talk will begin with a summary of results from the presenter's work investigating the performance of various simple numerical integration methods on a particularly difficult circuit example involving a saturating nonlinearity.
I had been briefed to begin with a summary of the plot, and as I described the struggles of the play's writer-hero, living in a New Orleans apartment-block surrounded by starving gentlefolk, alcoholics and deadbeats, I heard a steadily growing rumble of laughter from across the table.
We begin with a summary of the relevant facts.
The range of justificatory themes they consider is very broad, and I shall begin with a summary.
Similar(46)
This paper begins with a summary of the typical train control systems in Japan and Europe.
Campbell began with a summary of the last thirty-five hundred years of iconoclasm.
The review begins with a summary of causes of leaks and the implications of the failure to detect them.
This review begins with a summary of the major improvements in hydrodesulfurization (HDS) and hydrodenitrogenation (HDN) catalysts and processes that have been reported in recent years.
The paper begins with a summary of recent developments in plant physiology and skin vasculature, and applies these developments in the context of stabilized earth construction.
More suggestions(18)
starting with a summary
start with a summary
began with a summary
starts with a summary
begin with a greeting
begin with a kiss
begin with a rinse
begin with a heading
begin with a circle
begin with a title
begin with a wedge
begin with a bowl
begin with a service
begin with a square
begin with a light
begin with a vowel
begin with a sense
begin with a joke
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com