Sentence examples for along with the proof of from inspiring English sources

Exact(4)

(a) If the respondent does not file an answer within the time prescribed in § 25.9(a), the reviewing official may refer the complaint to the ALJ along with the proof of service, as provided in § 25.8(b).

The proof goes along with the proof of Theorem 1.2, therefore we will only sketch the differences.

All the studios ask is that when you buy a Blu-ray title of a disk you currently own, mail in a promo certificate along with the proof of purchase from the original disc's packaging. .

Kobach has been vocal on the voter ID issue, along with the proof of citizenship to register, which takes effect in January.

Similar(56)

In particular for the exponential window, we extend the results previously demonstrated in [31] and give more details along with the proofs of the required theorems.

If 0 < a ≤ β n ≤ b < 1, then the sequence { x n } defined by (3.5) converges strongly to some v ∈ F. Proof The proof follows along the lines with the proof of Theorem 3.2.

This result, along with (2.8), completes the proof of the theorem.

After taking the challenge, participants can submit videos and images, along with proof of their donation, to the official Taco or Beer Challenge tumblr.

This assertion, along with the arguments used in the proof of result (i), implies that ( c h + 1, 1, …, c h + 1, ( h + 1 ) + r h + 1 + 1 ) is exactly determined by ( c h, 1, …, c h, h + r h + 1 ) and c h − 1, ( h − 1 ) + ( r h − 1 + 1 ).

The proof goes exactly along the same lines as the proof of [2, Lemma 1] with the obvious changes.

(ii) Using Proposition 2.7 along with an argument as given above, the proof of this part becomes simpler.

Show more...

Ludwig, your English writing platform

Write better and faster with AI suggestions while staying true to your unique style.

Student

Used by millions of students, scientific researchers, professional translators and editors from all over the world!

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

Get started for free

Unlock your writing potential with Ludwig

Letters

Most frequent sentences: