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In other words, problem (P3) is equivalent to problem (Pj) when λ j =1 and λ i =0, i≠j.
In other words, problem solving allows proficient learners to gain more experience than they would simply by studying worked-examples.
When someone I thank responds, "no problem" or "no worries," the words, "problem" and "worries" jump out at me.
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In contrast, we asked women to report in their own words problems they had experienced.
HERE's a word problem for you.
"All right, how about a word problem?
Quietly segueing into a math lesson, he wrote a multiplication word problem on a whiteboard.
The answer is more complicated than the toughest word problem in any high school math class.
In the same spirit, here is a Bongard-type word problem.
The last group might be asked to analyze a word problem and apply the calculation.
By comparison, cheating on a word problem, with no apparent victim, produces a relatively cheap thrill.
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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