в значительной степени

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Only the ground state is appreciably (or substantially) populated.

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The aircraft's altitude exceeded the desired angle of attack by a large (or considerable) margin.

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The fidelity of the amplifier depends to a large measure [or in large measure, or to a large extent (or degree), or largely, or to a great (or marked) extent, or in great (or large) part] on its ability to ...

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The heading remains much as in the previous version.

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The waxes are the cause of much of the trouble in the dyeing of cotton goods.

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The longer domain is still largely unknown.

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Much of the importance of the glass electrode stems from ...

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These properties vary significantly with time.

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The ventilation passages are (very) materially obstructed.

* * *

В значительной степени-- It is found that stress relief occurs to a large extent (50-70 percent) in the first cycle, to a moderate extent (25-30 percent) over the next 10 cycles and to a lesser extent (10-25 percent) over the remaining cycles up to 104.