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we have presented the necessary theoretical vs and thereby we have

These two phrases are not directly comparable as they serve different purposes. The first phrase introduces a statement about presenting theoretical information, while the second phrase indicates a causal relationship. Depending on the context, one might be more appropriate than the other.

Last updated: March 17, 2024 • 1126 views

This phrase is correct and commonly used in English to introduce a statement about presenting theoretical information.

"we have presented the necessary theoretical "

This phrase is typically followed by the specific theoretical information that has been presented. It is commonly used in academic or professional contexts.
  • of Mie theory(block square)(Fig.7 in. Reference [11]). In the last section, we have presented the necessary theoretical formulation of the electromagnetic fields of ...
  • [17] In the last section, we have presented the necessary theoretical formulation of the electromagnetic fields of a plane wave scattered by a plasma anisotropic ...
  • Nov 4, 2012 ... In the last section, we have presented the necessary theoretical formulation of the electromagnetic fields of a plane wave scattered by a ...
  • Aug 24, 2011 ... In the last section, we have presented the necessary theoretical formulation of the electromagnetic fields of a plane wave scattered by an ...

This phrase is correct and commonly used in English to indicate a causal relationship, explaining how one action leads to another.

"and thereby we have"

This phrase is often used to show the consequence of a previous action or to explain the reason behind a result. It is useful for connecting ideas in a logical sequence.
  • We have completely abolished the age-old exploitation of man by man in our country, and thereby we have eliminated the reasons and causes which in the ...
  • Pickthall: Who hath appointed the earth as a bed and hath threaded roads for you therein and hath sent down water from the sky and thereby We have brought ...
  • We buy up Government loans and gold, and thereby we have controlling power over the world's exchanges. The power is in our hands, but be careful -- place no  ...
  • Sep 23, 2015 ... All European countries have signed the International Convention on the Rights of the Child and thereby, we have dedicated ourselves to ...

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