we derive that

USAGE SUMMARY

"we derive that" is correct and can be used in written English.
It is used to emphasize that something has been determined or concluded based on evidence. For example, "We derive that the best course of action is to increase marketing efforts."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

From condition (i) and (3.19), we derive that (320).

Advances in Difference Equations

By (4), we derive that Φ satisfies the dummy property.

SERIEs

we derive that is a fixed point of.

Fixed Point Theory and Applications

Thus, we derive that u ∈ C ( [ 0, T ] ; B p, r s ).

Boundary Value Problems

(14) Analogously, we derive that lim_{nrightarrow+infty} q(x_{n+1}, x_{n})=0.

Fixed Point Theory and Applications

From (3), we derive that can be written as a function of and as follows: (4).

EURASIP Journal on Image and Video Processing

By Lemma 3.1, we derive that is a unique solution of the problem (2.13).

Fixed Point Theory and Applications

end{aligned} We derive that ϕ satisfies the α-marginality property.

SERIEs

By the Normal Comparison Lemma and (3.4), we derive that (3.15).

Journal of Inequalities and Applications

Similarly, we derive that LV also has an upper bound (C_{2}) (({LV}leq C_{2})).

Advances in Difference Equations

Since the direction is arbitrary, we derive that u and v are radially symmetric about the origin and decreasing.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Use "we derive that" to clearly indicate that a conclusion is based on a logical process or evidence, particularly in formal writing.

Common error

Avoid using "we derive that" in casual conversation or informal writing, as it can sound overly formal or pretentious. Opt for simpler alternatives like "so" or "therefore" in less formal settings.

Linguistic Context

The phrase "we derive that" functions as a declarative expression used to introduce a conclusion that has been logically deduced or calculated. As Ludwig AI confirms, this phrase is common in academic and scientific writing to present findings.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "we derive that" is a grammatically correct phrase used to introduce a logically deduced conclusion, as also confirmed by Ludwig AI. Its primary function is to clearly assert a finding based on evidence or reasoning, most commonly in formal, academic, and scientific contexts. While appropriate for formal writing, it should be used sparingly in informal settings where simpler alternatives may be more suitable. Related phrases include "we conclude that" and "it follows that", offering similar ways to present a conclusion.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

we conclude that

Uses "conclude" instead of "derive", indicating a final judgment or decision based on reasoning.

we infer that

Replaces "derive" with "infer", suggesting a conclusion reached based on evidence and reasoning.

we deduce that

Substitutes "derive" with "deduce", implying a logical conclusion is drawn from established premises.

it follows that

Presents a consequence as a natural result of previous statements.

therefore

A single-word conjunction indicating a logical conclusion or result.

thus

Similar to "therefore", but can also indicate the manner in which something is done.

hence

Synonymous with "therefore" and "thus", suggesting a logical consequence.

consequently

Highlights that something happens as a result or effect of something else.

as a result

Emphasizes the outcome or consequence of a preceding action or situation.

we can see that

Shifts the focus to observation and understanding as the basis for the conclusion.

FAQs

How can I use "we derive that" in a sentence?

Use "we derive that" to introduce a conclusion that you've reached through a process of reasoning or calculation. For example, "Based on the data, we derive that the new strategy is more effective".

What's a less formal alternative to "we derive that"?

If you're writing in a less formal context, you could use phrases like "so", "therefore", or "thus" to indicate a conclusion.

Is "we derive that" appropriate for all types of writing?

While grammatically correct, "we derive that" is best suited for formal writing, such as academic papers or technical reports. In more casual contexts, it can sound overly formal. Consider if a simpler alternative might be more appropriate.

What is the difference between "we derive that" and "we infer that"?

"We derive that" suggests a conclusion reached through logical steps or calculations, while "we infer that" implies a conclusion based on evidence or reasoning, often with less certainty. Derivation usually involves a more direct and explicit process.