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The term "fundamental method" is correct and can be used in written English.
It refers to a basic or essential approach or technique used to achieve a goal or solve a problem. Example: The fundamental method for solving this math problem is to first identify the variables and then use the appropriate formula to calculate the answer.
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"I believe that education is the fundamental method of social progress and reform," John Dewey wrote at the turn of the twentieth century.
Although, in many cases, theoretical calculations are combined with extrapolation, the fundamental method involved is to plot the value of a given property of each member of the group against the appropriate row of the periodic table.
But the most usual and the most fundamental method of classifying the arts is by their mediums: This includes two-dimensional visual arts such as drawing and painting and also three-dimensional visual arts such as sculpture and architecture.
That's why it wasn't just the progress and TV receivers, but most of all socrealism, at the time "the only and fundamental method of artistic creativity" that screwed it up once and for good, made an ass of it, framed it as if it was a wall tapestry with naïve, didactic proverb.
Education is the fundamental method of social progress and reform.
Therefore, restoring vegetation is the fundamental method to root out plateau pika.
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Lindemann's proof that π is transcendental was made possible by fundamental methods developed by the French mathematician Charles Hermite during the 1870s.
He coined the word, developed the fundamental methods, conducted elaborate psychophysical experiments, and began a line of investigation that still persists in experimental psychology.
The technique of evaporative cooling, as described heretofore, has been known for centuries, but the fundamental methods of mechanical refrigeration were only discovered in the middle of the 19th century.
The great aim was that of dealing with moral values, institutions, and all social phenomena through the same fundamental methods that could be seen so luminously in such areas as physics and biology.
Then internet prices were skyrocketing and fundamental methods of choosing stocks seemed obsolete.
Related(20)
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elementary method
main method
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substantive method
fundamental mode
crucial method
substantial method
foundational method
vital method
seminal method
basic method
critical method
major method
primary method
baseline method
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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