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Discover LudwigThe phrase "a beginning of proof" is correct and usable in written English.
It can be used in contexts where you are introducing an initial argument or evidence to support a claim or assertion.
Example: "In this paper, I will present a beginning of proof that supports the theory of evolution through natural selection."
Alternatives: "an initial proof" or "a preliminary argument".
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Despite 12 months of exhaustive investigations in France and Britain, "there is not the start of the beginning of proof" of who may have been responsible, Mr Maillaud said.
Now we show that the operator Ω F, defined in the beginning of proof of Theorem 3.4, satisfies the assumptions of Lemma 3.10.
Now we show that the operator ({mathcal{N}}), defined in the beginning of proof of Theorem 2.4, satisfies the assumptions of Lemma 1.4.
They have absolutely not a single beginning of a proof that cheese mites can hurt you".
While a children's book publisher might draw satisfaction from that many readings of their books, for BookBox it is a beginning, a proof of concept that ultimately aims to benefit 200 million pre- and early-reading children in India alone, and as many if not more, globally.
Then we obtain p = G p, p = W n p and J r n p = p for all n ≥ 0. By using Lemma 4.2 and the same argument as in the proof beginning of the proof of Theorem 4.1, we have { x n }, { y n }, { G x n }, { G y n }, { f ( y n ) } are bounded sequences.
Proof of Theorem 1.3 At the beginning of the proof, we first give an upper bound and a lower bound for the indicator function of R / S statistic.
At the beginning of the proof, we use arguments similar to those in the proof of Theorem 3.1 in [1].
If (uin {v_1,ldots,v_k}) then at the beginning of the proof we chose a special edge (urightarrow v).
Using the argument from the beginning of the proof, we conclude that S and T have a common fixed point.
The work marked the beginning of ordinal proof theory.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com