shown in theoretical analysis vs shown in the theoretical analysis

Both phrases are correct, but they are used in slightly different contexts. 'Shown in theoretical analysis' is more general and can be used in various situations, while 'shown in the theoretical analysis' specifically refers to a particular theoretical analysis that has been previously mentioned or is known to the reader.

Last updated: March 15, 2024 • 488 views

shown in theoretical analysis

This phrase is correct and can be used in various contexts to refer to something that is demonstrated or presented in a theoretical analysis.

This phrase is used to indicate that something has been demonstrated or presented in the context of theoretical analysis.

Examples:

The concept was clearly shown in theoretical analysis.
The results were based on data shown in theoretical analysis.

Show examples from the web [+]

Jul 13, 2014 ... The analysis of a set of undirected and directed real-world networks confirms the findings shown in theoretical analysis and simulation ...
May 29, 2015 ... The benefit of minimizing synchronizations is shown in theoretical analysis and is verified by numerical experiments using up to 900 processors ...
It has been shown in theoretical analysis that ion acoustic waves can propagate freely in a plasma which has ions much colder than electrons, and are.
... of the initial Dantzig selector under the same conditions. For the Lasso, [12] has also shown in theoretical analysis that thresholding is effective in obtaining. 4 ...

Alternatives:

demonstrated in theoretical analysis
presented in theoretical analysis
illustrated in theoretical analysis
discussed in theoretical analysis
analyzed theoretically

shown in the theoretical analysis

This phrase is correct and is used when referring to a specific theoretical analysis that has been previously mentioned or is known to the reader.

This phrase is used to specify that something has been demonstrated or presented in a particular theoretical analysis that has been previously mentioned or is known.

Examples:

The results were shown in the theoretical analysis conducted by Smith et al.
The concept was clearly shown in the theoretical analysis presented in Chapter 3.

Show examples from the web [+]

Apr 25, 2014 ... As shown in the theoretical analysis below, an increase of dIsc(X)/dX in the QD- IBSC-CPV module, when compared to the GaAs control cell, ...
As already shown in the theoretical analysis, the effects of pseudolite location errors on the single-differenced measurements will depend on the relative ...
of children's solutions. Then the Mixture Problem (shown in the theoretical analysis) was presented and the students were asked to compare the problems.
will be shown in the theoretical analysis given in the fol- lowing section. However, a more complete analysis of the curved interface remains to be done. Figure 3: ...

Alternatives:

demonstrated in the theoretical analysis
presented in the theoretical analysis
illustrated in the theoretical analysis
discussed in the theoretical analysis
analyzed in the theoretical analysis

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shown in theoretical analysis vs shown in the theoretical analysis