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In 1867, the great astronomy populariser, Richard A. Proctor, published a map of Mars that gave hard, defined edges to features that had, so far, been softly rendered.
Physical activity was reported as light or hard, defined respectively as activity excluding or including sweating or feelings of breathlessness.
As with many other bifurcation types, the Hopf bifurcation comes in two flavors: the supercritical (or soft) and the subcritical (or hard) (defined below).
They sound very warm, fluid, and smooth, and are conducive to beautiful sounding melodies, but they lack the hard, defined punch of a fretted bass, and slapping and popping will sound very different without a metal fret for the strings to bounce off of.
Similar(53)
success is hard to define and hard to isolate root causes when it happens.
It's hard to define; it's hard to measure; it's hard to talk about.
IT IS a sprawling, unseen, unglamorous industry that is hard to define and harder still to measure.
Hard CVD is defined as hard CHD or stroke.
Dimensions of aquifers are hard to define and even harder to adjudicate.
"Kane is hard to define, which I believe makes him hard to dismiss," Crowe said.
It's a concept hard to disagree with, but also hard to define.
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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