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The phrase "integral formation" is correct and can be used in written English.
It refers to a complete and comprehensive education that encompasses all aspects of one's personal and intellectual development. Example: "The school's curriculum is designed to provide students with an integral formation, focusing not only on academic excellence but also on character development and critical thinking skills."
Exact(2)
Lower friction coefficient of forming die can make the sheet tend to integral formation, also results in uniform thickness distribution.
To begin with, from Lemma 4.4, problem (4.1) has an integral formation given by u(t)=int_{0}^{1}G(t,s bigl[fbigl s,u(s),u(s) bigr)+gbigl s,u(s bigr)+qbigl s,u(s bigr bigr], ds.
Similar(58)
Many of these genes encode proteins integral to formation, refinement, maintenance, function, and/or plasticity of synapses in the CNS; others encode proteins traditionally thought to play roles exclusively in the immune system, including MHC genes [ 18].
Although rock formations are not a central draw to Everglades National Park, the limestone that underlies the Everglades is integral to the formation of the diverse ecosystems within the park.
If Wagner were integral to the formation of Hitler's anti-Semitism, one would expect more evidence of the fact.
Lignification is integral to wood formation and has been studied in great detail in conifers for decades.
George Grey Barnard, (born May 24 , 1863 Bellefonte, Pennsylvania, U.S. died April 24, 1938, New York, New York), sculptor and art collector whose private medieval and Gothic art collection was integral to the formation of the Cloisters of the Metropolitan Museum of Art in New York City.
Historically these systems may have been integral to the formation of opal, bauxite, some low temperature ore deposits, of authigenic K-feldspars, and continental redbeds.
Clays are integral to the formation of many common arid landforms, occurring as extensive sheets, discrete aeolian bedforms or as a major component of closed basins (playas).
Because TGF-β superfamily signaling is integral to testis formation, it affects processes that underlie testicular pathologies, including testicular cancer, and its potential to contribute to subfertility is beginning to be understood.
May 24, 1863 Bellefonte, Pennsylvania April 24, 1938 New York City, New York George Grey Barnard, (born May 24 , 1863 Bellefonte, Pennsylvania, U.S. died April 24 , 1938 New York City), sculptor and art collector whose private medieval and Gothic art collection was integral to the formation of the Cloisters of the Metropolitan Museum of Art in New York City.
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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