Sentence examples for proof without from inspiring English sources

Exact(60)

But it's hard to offer proof without money.

"With e-currency based on cryptographic proof, without the need to trust a third party middleman, money can be secure and transactions effortless," he wrote.

Lifeproof has made its name building phone and tablet cases that are water, dust, snow and shock proof without adding the armor cladding of many submersible cases.

The minutes of the meeting said that a trial would be difficult because of the problem of getting proof without increasing the scandal.

To aggregate proofs from multiple parties, we enable the parties to generate a single proof without revealing their inputs to each other via a simple multi-party computation (MPC) protocol for constructing Bulletproofs.

Their massive overhead costs make micropayments impossible.… With e-currency based on cryptographic proof, without the need to trust a third party middleman, money can be secure and transactions effortless.

Because of their long hours spent acquiring mathematical fluency, graduate student instructors can often answer questions about calculus or linear algebra without much thought, going straight to the correct method of proof without demonstrating how one might know to reach for one tool instead of another.

But secret tribunals requiring only low standards of proof, without a jury, in which the defendant may not have a voice in choosing his lawyer nor even hear all the evidence against him before being sentenced to death, are deeply disturbing.

We have to trust them with our privacy, trust them not to let identity thieves drain our accounts… With e-currency based on cryptographic proof, without the need to trust a third party middleman, money can be secure and transactions effortless.

Proof Without loss of generality, we assume that x < y.

Proof Without loss of generality, we suppose that n = 1.

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: