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we find that the minimum value is reached vs we end up with the values

Both phrases are correct, but they convey slightly different meanings. 'We find that the minimum value is reached' implies a specific outcome has been discovered, while 'we end up with the values' suggests a result that was obtained. The choice between them depends on the context and the nuance you want to convey.

Last updated: March 15, 2024

we find that the minimum value is reached

This phrase is correct and commonly used in English.

This phrase is used to indicate that after a search or analysis, the minimum value has been identified or reached.

Examples:

  • After analyzing the data, we find that the minimum value is reached at 10.
  • In our experiment, we find that the minimum value is reached when the temperature is at its lowest.
  • By comparing the results, we find that the minimum value is reached earlier than expected.
  • i р/k i рsЮЮ ю tk А ziрsЮjj2ds. р6Ю. To optimize this energy, we first fix Ak and look for the optimal translation. We find that the minimum value is reached for: tk.
  • Dec 15, 2006 ... we find that the minimum value is reached at k = 2i−i3 i3 . So the sharpest stability condition yields the well-known lower bound for the angular ...

Alternatives:

  • we discover that the minimum value is reached
  • we determine that the minimum value is reached
  • we observe that the minimum value is reached
  • we ascertain that the minimum value is reached
  • we establish that the minimum value is reached

we end up with the values

This phrase is correct and commonly used in English.

This phrase is used to indicate the result or outcome that was obtained after a process or situation.

Examples:

  • After all the calculations, we end up with the values we expected.
  • Despite the challenges, we end up with the values that support our hypothesis.
  • After the experiment, we end up with the values that confirm our theory.
  • ... Because the following check is done each time a new; // circle is drawn, we end up with the values of the; // circle closest to the mouse. if ((d ...
  • Sep 2, 1993 ... ... the working region which is shown as shaded area) gives a conservative estimate for the accuracy of the results. We end up with the values.
  • 9b, we perform the up-sweep operation on each row until we end up with the values in column 7. Then we perform the up-sweep operation on column 7 and ...
  • How do we become the adults of tomorrow? How and when do we form the personalities that we end up with, the values that we believe in? Psychological and ...

Alternatives:

  • we obtain the values
  • we arrive at the values
  • we reach the values
  • we get the values
  • we achieve the values

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