after hard decision

USAGE SUMMARY

The phrase "after hard decision" is not correct in English.
It should be "after a hard decision" or "after hard decisions" depending on the context. You can use it when referring to the outcome or consequences that follow a difficult choice that has been made. Example: "After a hard decision, she felt a sense of relief knowing she had chosen the right path."

⚠ May contain grammatical issues

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

After hard decision, the estimates b ̂ m R n = Q Λ b m R n form the relay information words b m,n as b ̂ m R n → b m, n, (4).

EURASIP Journal on Advances in Signal Processing

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Ω e denotes the expectation value of the number of errors after FF hard decision decoding.

EURASIP Journal on Wireless Communications and Networking

From [6], it is easily proved that the bit error probability after FF hard decision decoding approaches half the frame error probability, as in [16, 17].

EURASIP Journal on Wireless Communications and Networking

Under such assumptions, the bit error probability after FF hard decision decoding can be expressed as follows: begin{array}{*{20}l} P_{e}^{FF}=frac{Omega_{e}}{n}, end{array} (9).

EURASIP Journal on Wireless Communications and Networking

For the dynamic channel estimation, a scheme using hard decision feedback after MRC with adaptive low-pass filtering is demonstrated to be successful in providing robust data detection for long data bursts, in the presence of dramatic channel variation.

EURASIP Journal on Advances in Signal Processing

SS: It was an incredibly hard decision, but after soul-searching about what I wanted to do long-term, I just felt that seed investing is where my heart is.

TechCrunch

The frequency-domain ACI rejection at the receiver, corresponding to the OOBE suppression at the transmitter, is implemented using G H and the estimated ( {widehat{boldsymbol{d}}}_l ) can be obtained by the hard decision made after decoding {widehat{boldsymbol{d}}}_l=mathrm{decision} left{{boldsymbol{G}}^H{widehat{boldsymbol{s}}}_lright} (15).

EURASIP Journal on Wireless Communications and Networking

"It was a hard decision," she said after the vote.

The New York Times

A second analysis was carried out after separating the data to include clips that ended at contact (Hard decision) and clips ending 100 ms after contact (Easy decision).

Plosone

Murray said it was a "really hard decision to leave Radio 1 after nearly a decade".

The Guardian

After performing all iterations, decoding is completed by a hard decision on a posteriori information values provided by one of the two component decoders.

EURASIP Journal on Wireless Communications and Networking

Expert writing Tips

Best practice

When referring to a difficult decision, ensure the article 'a' precedes 'hard decision' for grammatical correctness: use "after a hard decision" or "after hard decisions" if referring to multiple decisions.

Common error

A common mistake is to omit the article 'a' before 'hard decision', which leads to grammatically incorrect sentences. Remember to use "after a hard decision".

Linguistic Context

The phrase "after hard decision" functions as a prepositional phrase aiming to indicate the temporal relationship subsequent to making a difficult choice. However, as noted by Ludwig, the phrase is grammatically incorrect without the article 'a'.

Expression frequency: Rare

Frequent in

Science

33%

News & Media

33%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "after hard decision" aims to indicate a point in time subsequent to making a difficult choice. However, Ludwig AI analysis indicates that this phrase is grammatically incorrect. The correct way to phrase it is "after a hard decision", adding the article 'a'. While it appears in various sources including news and scientific articles, its usage is infrequent and its grammatical incorrectness impacts its reliability. Therefore, it's advisable to use grammatically correct alternatives such as "following a difficult choice" or "after a tough decision" to convey your intended meaning clearly and accurately.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

following a difficult choice

Replaces "hard decision" with "difficult choice", emphasizing the challenging nature of the decision.

after a tough decision

Substitutes "hard" with "tough", conveying a similar meaning of difficulty.

once the difficult decision was made

Emphasizes the completion of the decision-making process.

subsequent to a challenging decision

Uses more formal language to describe the timing after the decision.

in the wake of a major decision

Highlights the consequences or events that follow a significant decision.

post a challenging choice

Replaces "decision" with "choice" and uses "post" to indicate the time frame.

following the complex decision

Highlights the complex nature of the decision.

after considerable deliberation

Focuses on the thought process leading up to the decision.

once the tough call had been made

Emphasizes the difficulty of the decision with the word "call".

subsequent to the rigorous selection

Highlights a meticulous choice.

FAQs

What is the correct way to say "after hard decision"?

The grammatically correct way to phrase this is "after a hard decision". Alternatively, if referring to multiple decisions, use "after hard decisions".

What can I say instead of "after hard decision"?

You can use alternatives like "following a difficult choice", "after a tough decision", or "once the difficult decision was made" depending on the context.

Is "after hard decision" grammatically correct?

No, "after hard decision" is not grammatically correct. The correct phrasing is "after a hard decision".

What's the difference between "after hard decision" and "after a hard decision"?

"After hard decision" is grammatically incorrect because it omits the necessary article. The correct phrase is "after a hard decision", which includes the article "a" to specify a single, difficult decision.