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It's not a matter of which sentence is "correct" — "for whom are we rooting" versus "who are we rooting for" — so much as which sentence is correct for the given situation.
These are: talk in a language that workers and citizens understand; don't necessarily repeat the forms of what has gone before; frame the salient issues in a way that relates to what will work best for the given situation and era; understand that coalitions need to be built with wide arrays of groups outside the usual suspects; and do so in a way that is non-sectarian.
For the combustion of solid fuels for power generation or industrial usage, the science behind the types of fuels available, prevailing economics, and environmental awareness at the time of construction dictates which type of fuel burning system is advantageous for the given situation.
Patient and care provider express their preferences, wishes and values, and together they explore beneficial solutions for the given situation.
Psychologists will evaluate behavior and suggest the ideal behavior for the given situation.
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They need to identify the structure/state of the target system and the applicable principles/laws for modeling the given situation.
When you feel full of love for the people involved in the given situation, pretend they are your own children (or house pets or projects - visualize whatever you really love).
Speaking 1. Asking and answering appropriately based on what they hear in the given situation and for the given purpose 2. Speaking their ideas about what they read 3. Speaking the gist of what they understand C in general: 92.9 for helping students say what they want to say 20.4 D.
For the example of LPDI items, students who did not fully understand how "non-luminous objects reflect light" chose wrong answers and reasons for the answer choice in the given situations.
I know that nothing is 100percentt predictable, nor is there a money back guarantee, but at least tell me what you think is the best decision for this given situation with your knowledge.
Wikipedia describes social proof as "a psychological phenomenon where people assume the actions of others reflect the correct behavior for a given situation… driven by the assumption that the surrounding people possess more information about the situation".
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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