by the following contributions vs approaches this problem by

These two phrases are not directly comparable as they serve different purposes. 'By the following contributions' is used to introduce a list of contributions, while 'approaches this problem by' is used to explain the method or strategy used to address a specific issue.

Last updated: March 17, 2024 • 605 views

by the following contributions

This phrase is correct and commonly used to introduce a list of contributions or actions that follow.

This phrase is used to introduce a list of contributions, actions, or items that will be presented or discussed next.

Show examples from the web [+]

This study extends the sight of protein species by the following contributions: 1) The new term "glycoprotein species" was defined to introduce the concept of ...
possible by the following contributions, which are gratefully acknowledged: the University of Manchester (f6oo); the University Museum, Cambridge. (?z5o); the ...
possible by the following contributions, which are gratefully acknowledged: the University of Manchester (£600); the University Museum, Cambridge. (£250); the ...
Helping refugees is not only by donating money but also by the following contributions: Convincing our politicians to help bring an end to the conflict in Syria ...

approaches this problem by

This phrase is correct and commonly used to explain the method or strategy used to address a specific issue or problem.

This phrase is used to introduce the method, approach, or strategy that is being used to tackle a particular problem or issue.

Show examples from the web [+]

Lave (1988) approaches this problem by advancing the concept of “authentic activity” which she defines as ordinary practices of “just plain folks” within a.
The submission approaches this problem by proposing a design that binds the (1 ) image, the (2) organization's IP number, and (3) other data describing the ...
Mar 25, 2015 ... Favoring plurality, the PCP approaches this problem by preprocessing the data using a variety of different processing tools and strategies.
In particular, it approaches this problem by way of the relationship between figure and type, or between example and theoretical exemplar. While the figure is ...

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by the following contributions vs approaches this problem by