by the following contributions vs approaches this problem by the following

Both phrases are correct, but they are used in different contexts. 'By the following contributions' is used when referring to specific contributions made by someone, while 'approaches this problem by the following' is used to introduce a list of methods or steps used to address a problem.

Last updated: March 17, 2024 • 636 views

by the following contributions

This phrase is correct and commonly used when referring to specific contributions made by someone.

This phrase is used to introduce a list of contributions or actions made by someone in a particular context.

Examples:

The success of the project was driven by the following contributions: dedication, hard work, and creativity.
The team achieved great results by the following contributions of each member.

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 the following

This phrase is correct and commonly used to introduce a list of methods or steps used to address a problem.

This phrase is used to present a series of approaches or strategies that are used to tackle a specific problem or issue.

Examples:

The company approaches this problem by the following steps: research, analysis, and implementation.
The team approaches this challenge by the following strategies: collaboration, innovation, and perseverance.

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by the following contributions vs approaches this problem by the following