exactly obtained as

USAGE SUMMARY

The phrase "exactly obtained as" is correct and usable in written English.
It can be used when specifying the precise manner or method by which something has been acquired or achieved. Example: "The results were exactly obtained as outlined in the experimental procedure."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

In this case, the optimal robust beamforming vector at R can be exactly obtained as w o via employing the eigenvalue decomposition W o =w o (w o ) H ; otherwise, it is not in general.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Sufficient conditions for the existence of H∞ filter are obtained as linear matrix inequalities, where the mode transition rates are known exactly or inexactly.

Signal Processing

Spectra were obtained as above.

Plosone

Observe that when the partial metric is exactly a metric, we obtain as a particular case of our new notions those given in Definitions 7 and 8 and in Theorem 2.

Fixed Point Theory and Applications

Furthermore, as predicted by the hypothesis, PII had a dramatic effect on the glutamine Kact of the reconstituted enzyme, almost exactly as obtained with the wild-type enzyme.

Biochemistry

Clones with spontaneous gross-chromosomal rearrangements (GCRs) that originate in a 12-kb nonessential region of chromosome V, which contains CAN1, were obtained exactly as previously described [34].

Plosone

Sequences for Tribolium USP were obtained exactly as described previously [ 5], using RT-PCR with degenerated primers.

BMC Evolutionary Biology

It is obvious that the values of Ma,C, Mb,C, and Mc,C are obtained exactly the same as detection method, but in a window with the length of three quarters of a cycle.

Protection and Control of Modern Power Systems

In the Wright Fisher model, the allele frequency can be obtained exactly every generation as a binomial distribution.

G3: Genes, Genomes, Genetics

We obtain this as follows.

Plosone

Using the optimal beamforming vectors in (12), the lower bound on (textbf {P}_{text {MAC}}^{k}) can be obtained exactly in the same way as in [19].

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When using "exactly obtained as", ensure the method or process being referenced is clearly and specifically defined to avoid ambiguity. This is especially important in scientific and technical writing.

Common error

Avoid using "exactly obtained as" without providing a clear reference or description of the method used. This can lead to confusion and undermine the credibility of your writing. Always specify the procedure or technique.

Linguistic Context

The phrase "exactly obtained as" functions as an adverbial modifier, specifying the precise manner in which something was acquired or achieved. As shown in the Ludwig examples, it often appears in scientific and technical contexts to emphasize the accuracy and reliability of a method.

Expression frequency: Uncommon

Frequent in

Science

100%

News & Media

0%

Formal & Business

0%

Less common in

Wiki

0%

Academia

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "exactly obtained as" is used to emphasize that a particular result or finding was derived using a specific and precise method. According to Ludwig AI, it is grammatically correct and appropriate for formal and scientific writing. Its purpose is to convey accuracy and methodological rigor, building confidence in the information presented. While relatively uncommon, understanding its proper usage can significantly enhance the clarity and credibility of your writing, particularly in technical fields.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

precisely derived in the same manner

Replaces "obtained" with "derived" and uses a more descriptive phrase to convey the method.

determined with complete accuracy by

Substitutes "obtained" with "determined" and emphasizes the accuracy of the method.

accurately achieved through

Focuses on the achievement aspect and uses "accurately" instead of "exactly".

correctly formulated according to

Emphasizes the correctness of the formulation and its adherence to a specific method.

faithfully reproduced using

Highlights the reproduction aspect and uses "faithfully" to indicate accuracy.

identically replicated by means of

Stresses the identical replication through specific means.

generated in strict accordance with

Focuses on the generation aspect and strict adherence to guidelines.

realized through the precise application of

Highlights the realization aspect and the precise application of a method.

ascertained with absolute precision following

Replaces "obtained" with "ascertained" and uses "absolute precision" to emphasize accuracy.

formulated by strictly adhering to

Highlights how something is formulated by strictly adhering to certain rules or guidelines.

FAQs

How can I use "exactly obtained as" in a sentence?

Use "exactly obtained as" to specify that a result or value was derived using a precise and well-defined method. For example: "The data was "precisely derived in the same manner" as outlined in the previous study".

What are some alternatives to "exactly obtained as"?

Alternatives include phrases like "precisely derived in the same manner", "determined with complete accuracy by", or "accurately achieved through", depending on the context.

Is there a difference between "exactly obtained as" and "approximately obtained as"?

Yes, "exactly obtained as" indicates a precise and accurate method, while "approximately obtained as" suggests that the method provides an estimated or less precise result. They have opposite implications for the accuracy of the result.

In what contexts is it appropriate to use "exactly obtained as"?

It is best to use "exactly obtained as" in technical, scientific, or formal contexts where precision and accuracy are crucial. This phrase is less suitable for informal or general writing.