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to provide the proper solution vs a proper, efficient

These two phrases are not directly comparable as they serve different purposes. The first phrase 'to provide the proper solution' is a complete sentence indicating an action, while the second phrase 'a proper, efficient' seems to be a fragment lacking a clear context. It would be more appropriate to compare 'to provide the proper solution' with a similar phrase that conveys the idea of offering the correct answer or resolution.

Last updated: March 15, 2024 • 988 views

to provide the proper solution

This phrase is correct and commonly used in English to indicate the action of giving the correct or suitable answer or resolution.

This phrase is used when someone is expected to offer the right answer or resolution to a problem or situation.
  • Cooperation with Development and Service organizations to provide the proper solution to the customer and meeting the SLA's (Service Level Agreement) in ...
  • Our highly qualified staff of orthopaedic surgeons and physicians knows what it takes to provide the proper solution for any kind of trauma and bone fracture ...
  • Jul 24, 2015 ... Our customers say we work efficiently and always strive to provide the proper solution. We have achieved this by building relationships based ...
  • From onsite mobile service to remote help desk, we are prepared to provide the proper solution. We can also assist your current IT staff with any support ...

a proper, efficient

This phrase seems to be incomplete and lacks context. It does not form a complete sentence or expression on its own.

This fragment could be part of a larger sentence where the context is provided to make it meaningful.
  • We say that x E A is a proper efficient point of A with respect to C if there exists a closed convex cone K =/ E such that C\{O} c int(K) and x E(A, K). The set of ...
  • We show that, if the closed unit ball in a smooth normed space ordered by a convex cone possesses a proper efficient point in the sense of Borwein, then the  ...
  • x ° is called a proper efficient solution if there exists no x such that. Vf(x°)x ... solution is defined as an efficient solution which is not a proper efficient solution.
  • Thus, they introduced the concept of a proper efficient solution in finite- dimensional Euclidean spaces under conditions of differentiability of the objective ...

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