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302 Sentences With "proofs"

How to use proofs in a sentence? Find typical usage patterns (collocations)/phrases/context for "proofs" and check conjugation/comparative form for "proofs". Mastering all the usages of "proofs" from sentence examples published by news publications.

Chia layers on proofs of time that thwart a range of attacks on proofs of space.
A lot of bullshitters take advantage of us by using enthymemes with proofs that aren't proofs at all.
The service can issue legally binding proofs for all your sensitive documents, and these proofs live on the blockchain.
But Buzzard says there are many cases where the prior proofs used to build new proofs are clearly not understood.
It combines this with proofs of time that disarm a wide array of attacks to which proofs of space are susceptible.
Chia ditched proofs of work for proofs relying on file storage space that people often have sitting around unused on their computers and can use for free.
Cohen has just started a new company called Chia Network that will launch a cryptocurrency based on proofs of time and storage rather than bitcoin's electricity-burning proofs of work.
We were discussing something involving those proofs when it happened.
She opened up her file cabinets, rummaging around for proofs.
We went through all the proofs, marking up color corrections.
Alright, so my next two gadgets are proofs of concept.
But these deductive proofs often rely on earlier, questionable assumptions.
Zohre corrected the proofs by hand with a red pencil.
You're currently preparing a sixth edition of Proofs From THE BOOK.
Breathtaking as her appearance was, it added nothing to the proofs.
" Proofs can resemble "narratives, with plots and subplots, twists and resolutions.
And two additional artist proofs (also bananas) are going to museums.
The money will help the startup build out its Chia coin and blockchain powered by proofs of space and time instead of Bitcoin's energy-sucking proofs of work, which it plans to launch in Q1 2019.
"We want to get people curious about why the beavers are not meeting and hopefully get a glimpse into the reason why mathematicians are interested in doing proofs and the power those proofs provide," Mr. Whitney said.
The butter-rich dough hydrates and proofs and proofs, gaining flavor as it sits at room temperature, rests in the chill of the refrigerator overnight, then rises once more on the counter before it meets its maker.
Locating the project folder, she spread out the proofs across her desk.
Our technology and business affairs editors debate whether his 'proofs' add up.
There are even formal proofs, given certain assumptions, saying this is true.
He fears that many proofs widely considered to be true are wrong.
They are closing in on proofs of the central conjectures in the field.
The image, Chris Levine's "Banksy [3D]" (6803), is one of four known proofs.
Each work apparently comes in an edition of three with two artist proofs.
"We have all the blueprints and have demonstrated proofs of principle," he said.
The only thing that anyone else on the chain sees are the proofs.
Mr. Ai also made 10 series of golden heads, with two artist's proofs.
No proofs, no clues, no logic, no presumption of innocense, just highly-liklies.
For some theorems, there are different perfect proofs for different types of readers.
To do these short and surprising proofs, you need a lot of confidence.
According to the principle of explosion, this contradiction potentially invalidated all mathematical proofs.
It would take often months or years for people to understand his proofs.
He spent 48 hours here at my house on the way to a trip to Asia, and I showed him the page proofs — we spent about 30 minutes going through the page proofs of "GMEU" together — and he loved the ratios.
Several have enacted "receipt lotteries", where proofs of payment become de facto lottery tickets.
The proofs were for New York Mirror, a compilation volume of New York photographers.
It's just wild to have Beyoncé looking at the proofs from your photo shoot!
But as scads of YouTube videos demonstrate, these proofs fail to convince flat-earthers.
It's the possibility of sharing proofs about the data without sharing the data itself.
To date, none of these proofs have officially been recognized by the mathematics community.
But proofs involve assumptions, which are open to challenge, and loopholes keep turning up.
All three parties keep the costly "triple lock" that more than inflation-proofs pensions.
Here the changes in the individual proofs reflect how she felt on any given day.
"We're developing all sorts of neurological proofs, or confirmations of what we're doing," he says.
These networks are proofs-of-concept around the country that a better internet is possible.
We reaffirm and develop new proofs of our TADS — teenagers are a different species — theory.
Thanks to the cryptographic method known as "zero-knowledge proofs" that's not always the case.
"This is where I have the art and page proofs from each book," he said.
Without a reproducible protocol, all the elaborate experimental proofs that C.D.B. had presented became suspect.
But the two proofs offer mathematicians both a sense of closure and a powerful new tool.
So you can construct zero knowledge proofs to do that essentially in a black box way.
"(From "When Death Comes") "I have refused to livelocked in the orderly house ofreasons and proofs.
But unless you're unusual, you probably don't know all of the details of the scientific proofs.
At some point they may get the message that their rules and proofs don't matter anymore.
The mathematics behind the general equilibrium proofs of Professor Arrow and his co-authors were daunting.
The user must also formalize any subsidiary definitions and proofs that their new work relies on.
There's all these proofs that go on of identity, of records, and they're quite non-digital.
The editorial correspondence and proofs included highlight another essential element of Granary's production and output: collaboration.
You noted in the fifth edition that mathematicians have come up with at least 196 different proofs of the "quadratic reciprocity" theorem (concerning which numbers in "clock" arithmetics are perfect squares) and nearly 100 proofs of the fundamental theorem of algebra (concerning solutions to polynomial equations).
The necessary documentation to register to vote includes two proofs of residence, two proofs of identity, a Social Security number and proof of citizenship or lawful residence — all of which can be hard to come by for anyone without a steady job, stable housing and internet access.
This story got quite ugly when Wright shared proofs in private with Gavin Andresen and Jon Matonis.
I just received the proofs of an article I authored from the publisher, so I review them.
And because their analyses were mathematical proofs, they were exact, unburdened by the approximations typical in physics.
These real-world instruments aren't ready for primetime: They're more proofs of concept than productive problem-solvers.
One of the breakthrough features of blockchain is its usage of zero knowledge proofs to manage data.
I could spend more weeks, months, years looking for those proofs, and I might never find them.
The folders are now providing the mathematicians with interesting new challenges, which can elicit intriguing mathematical proofs.
The mathematical proofs developed by the company have been submitted to a scientific journal, Mr. Holland said.
There are six editions of Mr. Ai's zodiac heads in bronze and an additional two artist's proofs.
And his stellar reputation only made the problem worse: Everyone assumed that his proofs must be right.
By contrast, digital currency that doesn't incorporate zero-knowledge proofs, like Bitcoin, reveals all of that information.
A pack of six costs around $10 and mosquito-proofs 100 square feet of water for 153 days.
A pack of six costs around $10 and mosquito-proofs 100 square feet of water for 30 days.
We bring in Christmas presents for each other, and she shows me proofs of her son's senior pictures.
The company plans on working with big clients, building proofs of concept for them and signing big contracts.
But for now, these models remain in-house as proofs of concept published in a Cornell research paper.
Newer mathematical proofs have found, and might continue to find, P solutions to some of these NP problems.
For now, the devices are just proofs of concept and the circuits are too small to be worn.
The first is Ada Lovelace, a mathematician whose proofs are considered the earliest form of the computer program.
So, having several proofs leads you to several ways to understand the situation beyond the original basic theorem.
Scholze was bemused by the long theorems with their short proofs, which struck him as valid but insubstantial.
" Tova said, "The sea, the wandering sand, the sky, the fire, the wind, all full of simple proofs.
Physicists have given mathematical proofs that quantum uncertainty can't be resolved by adding a deeper layer of reality.
And there's also 'zero-knowledge architecture,' but these don't necessarily have much to do with zero-knowledge proofs.
False proofs of the GCI had been floated repeatedly over the decades, including two that had appeared on arxiv.
It will also make use of cryptographic proofs that will allow experts to verify the integrity of the data.
"As long as there are existence proofs in each of the categories," Limp argues, consumers will figure it out.
Banks typically demand proofs of residence, such as utility or local-tax bills, which new arrivals do not have.
I think you can expect small proofs of concept this year with a full constellation within 24-36 months.
By analyzing your financial records, we see billions rather that millions, may be some tax evading proofs, so what?
There have been hundreds of proofs of concepts and pilots along with a couple of live projects, he said.
Pakistan's three-judge Supreme Court ruled that it could not find "very strict proofs of blasphemy," the AP reported.
How long the dough proofs and fries for depends on the temperature and humidity inside the shop each day.
Several articles followed the initial Twitter backlash to Abramson's proofs, decrying the lack of fact-checking in book publishing.
None of the new works are unique; each is made in an edition of three, with two artist's proofs.
The three copies of the New York map now known to exist might have been trial impressions, or proofs.
" Bidwell explains the artist's process: "He could ask for revisions in a back-and-forth exchange of proofs and could use the proofs to make a pasteup dummy, a maquette, which enabled him to envisage the overall appearance of the book and assess the effect of two-page openings in the proper sequence.
Creditors file proofs of claim in bankruptcy cases to set forth how much they believe they should recover and why.
They can tell you the alcohol content from how far down their throat the alcohol burns—higher proofs burn further.
A further edition of eight plus two proofs was produced in 2121 under Duchamp's supervision by Galleria Schwarz of Milan.
It bakes 10 loaves an hour and mixes, forms, proofs and cooks them all on its own, without a human.
Ms. Rips has been traveling with her mother ever since, and corrected the proofs for her book in Ladakh, India.
Why do you think mathematicians keep devising new proofs for certain theorems, when they already know the theorems are true?
The story ends in bloody revolt and the assassination of the fictional author before he can review his page proofs.
They've been around longer, he adds, and rely on battle-tested cryptographic techniques like ring signatures and zero-knowledge proofs.
The internet is awash in unfounded amateur proofs that claim to have resolved the problem one way or the other.
The Russian scientist Ivan Pavlov's experiment with dogs is widely considered one of the best proofs of the scientific method.
Huge amounts of new results are published every year, at a breakneck pace, making searching through these proofs extremely important.
Demaine has taught a class on such hardness proofs using video games, and thinks this can be an effective educational approach.
Some researchers have devised mathematical proofs of cases where quantum computers are always better than classical computers running the same algorithm.
But he bristled at suggestions that he had ever taken a fall and said his injuries were proofs of his honesty.
This past May, Germ exhibited some of the glass crane proofs at a pop-up gallery at Divine Lorraine in Philadelphia.
Currently the company has double-digit paying customers and more than 20 in various stages of proofs of concepts, he said.
"The state maintains that the strength of proofs and likelihood of conviction are very strong, and this court agrees," Foti wrote.
Both proofs are now being hailed as significant advances on a puzzle mathematicians have been studying for at least 25 years.
You've said that you and Martin Aigner have a similar sense of which proofs are worthy of inclusion in THE BOOK.
So, it's really valuable to explore these proofs to understand how you can go beyond the original statement of the theorem.
Steidl likes his clients to prepare for consultations by cutting up their own photographic proofs and gluing them into mockup layouts.
This is thanks to a newish technology called Satisfiability (SAT) solving, which is a method of generating proofs in propositional logic.
"Proofs must become objects for investigations, and understanding will be raised to the next level, how to find and handle them."
He seems to have been an incessant draftsman, doodling in the margins of print proofs, always with much on his mind.
The video itself, titled "The Secrets of Karbala," from an edition of seven with two artist's proofs, is priced at $350,000.
I couldn't easily relinquish these proofs of a time I'd thought would never end and that had slipped away so quickly.
Her alleged brother claimed that in her teens she went by the name "Tara," the handle used by My Immortal's fabled author; she also logged into a Fiction Press account associated with Tara, and she was generally more specific about detailing proofs regarding her authorship of the fic than she was about proofs regarding her real-life identity.
Zcash, by contrast, shields transactions from prying eyes with a scheme based on "zero-knowledge proofs" (hence the "Z" in its name).
States variously call for passports, birth and marriage certificates, proofs of guardianship, documents to prove people lived together, or fresh medical records.
Sorry, I don't want to get too technical here, but they actually generate what are called zero knowledge proofs as you go.
Zcash uses a technique called "zero-knowledge proofs" to ensure coin exchanges are valid but without revealing extra information to either user.
Chia instead relies on proofs of space in file storage, which people often already have and can use for no additional cost.
Mathematicians have shown that some theorems have proofs so long that it would take the lifetime of the universe to finish them.
You'll also need two proofs of address, plus evidence of "lawful status," meaning that you're a legal resident of the United States.
"This cutting edge proven technology future-proofs London City Airport's air traffic control for the next 30 years and beyond," he said.
She also bets on entrepreneurs who have tried to exercise their idea and can provide two proofs of concept or pilot programs.
Aigner enlisted fellow mathematician Günter Ziegler, and the two started collecting examples of exceptionally beautiful proofs, with enthusiastic contributions from Erdős himself.
There are theorems that have several genuinely different proofs, and each proof tells you something different about the theorem and the structures.
The abc conjecture (in certain forms) would offer new proofs of these two theorems and solve a host of related open problems.
Ordinary mathematicians intent on expanding the borders of the field could not possibly devote that kind of effort to checking their proofs.
As is unfortunately often the case, the enormous potential of zero-knowledge proofs can sometimes lead the phrase to be over-used.
He accused America of egotism and spoke with contempt of the Atlantic Charter, citing Poland and Greece as proofs of its failure.
New proofs by professional mathematicians tend to rely on a whole host of prior results that have already been published and understood.
For several months, the MTA, through Outfront, worked with Dame as they sent advertisement proofs back and forth for the MTA's approval.
"When I saw the proofs of the paper it kind of blew my mind," Nick Konidaris, Carnegie Institution for Science astronomer, told Gizmodo.
DCNs didn't scale well, requiring a lot of bandwidth, and the proofs needed for mixnets were too computationally expensive to keep latency low.
"Equatorial Guinea examined the proofs presented by the French prosecutor and ruled on June 12 that no offense had been committed," Marsigny said.
The DTCC, BNP Paribas and SIX tests were among a barrage of blockchain "proofs of concept" announced with great fanfare by financial institutions.
His 1970s work maps a series of proofs, methods to extract perception from a viewer's head and include it in the image itself.
Still, the bakers reassure themselves by validating their beloved source, assembling what they call "proofs" — tangential connections between the bread crumbs and reality.
Puerto Rico's schools could benefit from stronger ties with mainland schools that enable us to create proofs of concept for new educational innovations.
The greatest proofs have become so complex that practically no human on earth can understand all of their details, let alone verify them.
" NIKOLAY A. LISTOPADOV, Russian ambassador to Myanmar "There are not reliable proofs, evidence to make such a condemnation, genocide and ethnic cleansing, no evidence.
Photographers have a lot of ways to show their photos to prospective or existing clients, whether they're portfolio shots or proofs from a wedding.
Cuts to our pay and now our pensions have accompanied increased demands on us to produce constant proofs that we are doing our jobs.
In this way, zero-knowledge proofs can help broker all sorts of sensitive agreements, transactions, and interactions in a more private and secure way.
Zero-knowledge proofs could also be used for government transparency initiatives in other ways, like to prove that IRS audits are being selected fairly.
One of Synlogic's co-founders, James J. Collins, a synthetic biologist at M.I.T., published one of synthetic biology's first proofs of principle in 2000.
Because Bourgeois tended to hijack the process, reworking various proofs so extensively by hand that they became works of art in their own right.
But after eighteen months, they're still waiting for researchers to put together proofs-of-concept of every small variation of the attack for them?
One of Synlogic's co-founders, James J. Collins, a synthetic biologist at M.I.T., published one of synthetic biology's first proofs of principle in 2000.
I make myself porridge and celebrate being on time by losing myself in the depths of the internet before I manage to finalize the proofs.
"How can you believe the Earth is a globe with all the proofs we gave you," a hurt user in the group responded to him.
The new result, still awaiting peer review, comes from the abstract realm of theoretical computer science, where computers are examined through mathematical models and proofs.
Some page proofs of the book found their way beneath the eyes of the textbook division's editors, and things seemed to click naturally from there.
Creating ways for multi-party transactions to engage in queries that prove certain facts about a business, without ever accessing the data underlying those proofs.
Zohar has been working in cryptography for years and his work is critical to the very "mind boggling math" that makes zero knowledge proofs possible.
Centuries later, an Irish professor of mathematics named Oliver Byrne would transform Euclid's mathematical proofs and propositions into one of the first multicolor printed books.
I have rules and logical proofs for how I conduct myself and how I do my writing and also what I share on social media.
On one hand, these researchers managed to execute an extremely complex experiment built on painstaking mathematical proofs and years of hardware development—an undeniable achievement.
With this software, proofs can be systematically verified by computer, taking it out of the hands of the elders and democratizing the status of truth.
Ultimately, computer scientists would like to create a general automated theorem prover, a software system that can create its own proofs, do its own math.
The best-known hugging devices tend to be either experimental proofs of concept, or startup projects whose creators are focused on getting them out the door.
When computer-assisted math proofs were invented a few years back, he said, it didn't lead to any decline in the number of math-research jobs.
The Russian-born Voevodosky is credited with pioneering the "motivic homotopy theory" field of mathematics and ushering in the use of computers to check scholars' proofs.
Although the screenshots of errors circulating on Twitter were from uncorrected proofs, several significant errors remain in the final book that bear out her critics' misgivings.
The book, which has been called "a glimpse of mathematical heaven," presents proofs of dozens of theorems from number theory, geometry, analysis, combinatorics and graph theory.
Over the two decades since it first appeared, it has gone through five editions, each with new proofs added, and has been translated into 13 languages.
Like its ancestor, it would have supreme insight: it could come up with beautiful proofs, as elegant as the chess games that AlphaZero played against Stockfish.
In his honor, the Sragow Gallery in Manhattan has mounted a display of his artists' proofs, which it represents, at its space on West 30th Street.
"Each case is fact sensitive, with each resolution based on the law, the undisputed facts, and the proofs of each case," a DCA spokesperson told CNN.
Some of the heavyweight intellects of the field, renowned for their self-reliance, are starting to turn to software to help them understand and verify proofs.
Not only did the software allow him to verify proofs beyond any doubt, the software also promoted thinking about math in a clear and unmistakable way.
At first, I thought it was crazy that I got a degree in math, because it offered me no practical skills — I wrote proofs for four years.
A study of 170 economics modules taught at seven universities found that marks in exams favoured the ability to "operate a model" over proofs of independent judgment.
"He has proofs, including his daily time record, to show he was at the hospital in Cagayan de Oro, which is about 200 kilometers away," Parahiman said.
The principles would include a short deadline for refunds of all claims for withholding tax, simplified proofs of investor residence, and simplified documentation for making refund claims.
They work almost like the literary equivalent of mathematical proofs, explaining an idea and then demonstrating how it might work, or what you might conclude from it.
This exhibition includes 163 of his preparatory works, along with page proofs and text celebrating the enchanted car, which didn't just drive — it flew and floated, too.
But even early proofs-of-concept, and hybrid machines that marry quantum and classical computers, have prodded companies to nervously dole out cash to stay in the loop.
We've seen some creative proofs of concept on Alloy, going far beyond ordinary VR. At CES, its RealSense cameras also came close to matching the Rift or Vive.
"They use the MTproto protocol which is effectively homegrown and I've seen no proper proofs of its security," Alan Woodward, professor at the University of Surrey told Gizmodo.
The government has approved an advisory which will ask matrimonial websites to authenticate its users through legally verifiable identity and address proofs, and keep their IP address records.
Proofs of HD-PoS may be possible by assuming a bound on the pairwise euclidean distance of the weight vectors or the maximum difference between any two prices.
Getting knee deep in the vloggersphere, you might learn the details of the scientific proofs as well as painstakingly spelling out each error in every flat-earther's rebuttal.
The effects of this printing technique cannot be rendered on a computer and can only be gauged in reality if proofs are actually run out on the presses.
The security agents will accept other proofs of identity, though: You can show your passport, a permanent resident card, or an ID issued by a federally recognized tribe.
The other main proofs are the failure to pass the Obamacare repeal and the difficulties and the missteps in the preparation of the tax reform bill so far.
Consumers will be able to seek refunds, or credits on Honest's website, for up to $50 without proofs of purchase and larger amounts with receipts, the papers show.
They'll be working on an alternative to Bitcoin's proofs of work, which require CPUs and GPUs that drain huge amounts of electricity in order to verify the blockchain.
Boullée envisioned the building as a monument to Isaac Newton, who among other things, worked out mathematical proofs for heliocentrism, the idea that planets orbit around the sun.
On his Instagram feed, a magnet for cranks of all kinds, he has spent years debating flat-Earthers, laying out innumerable scientific proofs that the planet is round.
The exhibition places finished book spreads next to maquettes (courtesy of the Baltimore Museum of Art's extensive archive) and working proofs with the artist's handwritten notes and edits.
Allen's intentions come through in her presentation of finished works as well as test prints, proofs, and plates pulled from the college's archives, to reconstruct the creative process.
Citigroup has complied with applicable bankruptcy signing requirements since it began filing proofs of claim on DNSB's behalf, and has adopted procedures to avoid a recurrence, the filing said.
The editorial first made news when photo proofs leaked on social media and after fans saw the couple shooting together in Milan in early March with photographer Mario Testino.
There are alternative proofs allowed to get the required picture ID. But they all boil down to making it expensive and difficult for certain classes of people to vote.
He compiles nine different sets of power rankings, using both algorithms and gut feeling, and he reads and re-reads the proofs of nearly every page in the magazine.
For Sidewalk, it might mean profits, or proofs of concept; for the city, it means widely shared improvements in things like jobs, the environment, public health and housing costs.
Which is good, because the way all cryptocurrencies trade in lockstep is one of the most compelling proofs that they're not currently not even close to a real market.
A young couple laboriously rat-proofs a living room so their pets can play, and two men go "rat-fishing" using lines baited with turkey meat and peanut butter.
Back upstairs we entered a high-ceilinged, near-empty room, where the page proofs of one of the designer's upcoming books, a career survey, were laid on the ground.
Bo'az Klartag of the Weizmann Institute of Science and Tel Aviv University recalls receiving the batch of three purported proofs, including Royen's, in an email from a colleague in 03.
"A quantum computer might seem to be faster, but you want to have rigorous mathematical proofs," Bob Sutor, VP of IBM Q Strategy and Ecosystem at IBM Research, told Gizmodo.
When I come out, my other colleague tells me we just got the proofs for a study textbook my boss wrote, and have to correct and proofread them before Monday.
Amazon's interface for uploading photo ID proofs on its Indian website lists Aadhaar and PAN — an ID that is required for filing taxes in India — as the only acceptable identification.
"2016 was a year of 'proofs of concept'; 2017 is much more likely to be a year of implementations," said IBM's global head of financial markets in London, Keith Bear.
There's a thesis (she will never be satisfied), three proofs (the three fundamental truths), and a conclusion ("And I know / He will never be satisfied / I will never be satisfied").
The bottom line: Advances in the past year are important proofs-of-principle that this is even a plausible approach but an organ hasn't been grown in a large animal.
More importantly, developers on all these platforms have proven that you can use them for hundreds of different tasks — something that's hard to predict from a few proofs of concept.
Any of the Steinitz-type proofs will tell you not only that there is a polyhedron but also that there's a polyhedron with integers for the coordinates of the vertices.
I thought I was writing for this tiny little niche audience of 222 percenter nerds like myself who wanted all the numbers correct and the mathematical proofs in the text.
The photographs are all around 24 by 18 inches and could have been printed on your inkjet printer at home, making them feel like proofs or tests, immediate and imperfect.
Cuarón had been up until 2 the night before, preparing "Roma" for Mexico's Morelia film festival and going through page proofs of a companion book of photographs published by Assouline.
Mr. Hofeller also matched lists of registered college students with state driver's license data; a license was one of the acceptable proofs of eligibility under North Carolina's voter ID law.
Dragon Box Elements, for iPhone, iPad, iPod Touch, Android, Kindle Fire, $4.99 Players build an army of shapes and work through puzzles based on geometric proofs to conquer a dragon.
The first New York Times employee book sale, held in 1993, repurposed stray galleys and uncorrected proofs into items that colleagues could purchase at a steep discount for charitable purposes.
These proofs included signing and decoding various pieces of text in many early bitcoin transactions and, we are to assume, a clear but unpublished proof that Wright owns Satoshi's original keys.
THE newsroom of the Cambodia Daily is littered with piles of proofs, pens without lids, an empty bottle of Tabasco sauce, a cat frolicking under the strip lighting—but no journalists.
"Standardization could help enterprises collaborate on application development, validate proofs of concept, and share blockchain solutions as well as making it easier to integrate with existing systems," the Deloitte study said.
He said he'd often prepare a blotter with proofs pulled during the day and leave it on her table so when she woke up early, she could start working on them.
Given that the coding industry (especially in the AI space) is veering toward the practice of program synthesis, this future-proofs the App Store somewhat, while not diluting Apple's protectionist powers.
He failed to con­vince most of the bitcoin community, which came to view him as a fraud, pointing to easily discredited proofs he offered in a PR-staged coming-out ceremony.
In addition to cryptocurrency, researchers have looked to apply zero-knowledge proofs to digital identification mechanisms, a secure alternative to the fog of birth certificate photocopies and smartphone photos of passports.
"We have zero-knowledge proofs that can prove really complicated programs, and verifying them is much faster than actually re-computing the entire program yourself," says Johns Hopkins cryptographer Matthew Green.
And to do that, he had to choose a landscape in which to create those proofs, just as someone doing geometry has to choose a coordinate system in which to work.
I meant to go straight there, but I realize I forgot to print off one of my proofs of residence so I swing by my office to use the printer there.
But while there have been endless announcements about tests and proofs of concept, almost no one has disclosed plans to actually use a blockchain or distributed ledger in the real world.
Currently, no one has proven mathematically that such an algorithm does not exist, but there are weaker proofs that make it unlikely that a yet-undiscovered super-fast classical algorithm exists.
"We start by just taking an infusion out at different proofs and seeing what's there," Power said, adding that he typically identifies new compounds by scent with the aid of botanical textbooks.
A teacher at Sydney's Cherrybrook Technology High School, Woo has more than 40,000 subscribers — not bad for someone whose content is dedicated to explaining concepts like trigonometric equations, inequality proofs, and checksums.
In 2010 he won the maths equivalent to the Nobel prize, the Fields Medal, for what the award called "proofs of nonlinear Landau damping and convergence to equilibrium of the Boltzmann equation".
The resulting volume, Proofs From THE BOOK, was published in 1998, sadly too late for Erdős to see it—he had died about two years after the project commenced, at age 83.
Kevin Buzzard, a number theorist and professor of pure mathematics at Imperial College London, believes that it is time to create a new area of mathematics dedicated to the computerization of proofs.
GD: Well, it-, it-, so we have a tremendous amount of money that we do invest in these countries, but the way that we invest is we-, we invest in proofs of concept.
I also remind reviewers when they need to send in their reviews of papers and spend time looking over proofs that have come back from typesetting to see if there are any errors.
On the other hand, we are always happy if we manage to prove something with one surprising idea, and proofs with two surprising ideas are even more magical but still harder to find.
He met a mother who couldn't get a loan to pay for her child's tuition because banks didn't consider her paper receipts for her years of barley growing as valid proofs of sale.
I would churn out proofs in front of him, showing my work along the way, so that if I made a simple mistake or miscalculation, I would still get credit for understanding why.
A group of editors walked in to go over final proofs of the issue and a reporter raised an eyebrow about the likelihood that the meeting had been staged for a newspaper article.
Here are the facts: journalists at the BBC, GQ, and the Economist along with two prominent bitcoin thinkers, Jon Matonis and Gavin Andresen, met Wright who then walked them through proofs of his claim.
And readers of aggregation sites fix on those articles as proofs of their basic prejudices—that the revolt against globalisation is destroying a once-great country or that Muslim gangs are tearing Britain apart.
Hakeem baby proofs his bachelor pad and invites Anika over in an effort to show that he takes the responsibility seriously, telling her that his family's dysfunction has showed him what not to do.
Thompson believes that that what he calls "rhetorical rationalism" – the language of statements underpinned by reason, proofs and argument – is now being chased from political speech in favor of that of emotion and personality.
Enterprise customers can connect with any of the 1000 approved startups and conduct proofs of concept using data ProoV has built, which is itself based on the way the customer structures its data sets.
A classic example of the utility of zero-knowledge proofs describes two millionaires, Alice and Bob, who want to know which of them has more money without revealing how much wealth they each have.
In this scene, Mr. Ramanujan, who lives in India and has been invited to Cambridge by Mr. Hardy, is discussing his proofs with the professor, who says they have not been up to par.
A great computer science teacher got me into coding; I became obsessed with The Lord of the Rings, which helped me get good grades in English; and I became weirdly fascinated by mathematical proofs.
The technique isn't unheard of; researchers have explored proofs of concept in the past, and leaked files have indicated that both the CIA and the independent exploit-focused company Hacking Team have had the capability.
That he was, as he remains, thoroughly enjoyable—and, worse back then, highly popular with middlebrow audiences—was more a debit than a credit in critical accounts that based approval on stern proofs of progress.
The bug in Microsoft's Remote Desktop Protocol allows a hacker to gain full remote code execution on unpatched machines; while it had previously only been exploited in proofs of concept, it has potentially devastating consequences.
Given the nascent nature of blockchain technology, corporations and consortia around the globe are starting to invest in and partner with startups that are building proofs of concept in order to test solutions prior to commercialization.
Mr Spolaore, listing the social norms that became a part of Mr Mokyr's "culture of growth", includes "tolerance of heterodox views, rigorous standards based on proofs and reproducible experiments, and positive attitudes towards openness, collaboration and disclosure".
In essence, trust is replaced by cryptographic proofs, and trust is maintained by a network of trusted computers (honest nodes) that ensure its security, as contrasted with single entities who create overhead or unnecessary bureaucracy around it.
After a series of upbeat announcements from Mercuria and others about successful pilots and "proofs of concept", Cross and rivals have found that translating enthusiasm into a broad-based roll-out of the technology is proving difficult.
However, if you plan on driving a car, you need to have a learner's permit for 6 months, take (and pass) a driver's test, and bring your birth certificate, Social Security card and two proofs of address.
Last spring, Mr. Dinowitz sent his chief of staff to participate in the kindergarten registration process at the school and to scrutinize parents' proofs of residence, in an effort to block out-of-zone students from enrolling.
In addition to the limited edition t-shirts and jean jackets on display were rare proofs of vibrant and colorful album and tour photo shoots, and the intricate, wire-y inside of one of Daft Punk's famous helmets.
While those kind of straightforward uses serve as decent proofs-of-concept, Nokia Technologies president Ramzi Haidamus stresses that they're just the beginning, with the deal also covering the other studios that Disney owns like Marvel and Lucasfilm.
The company, which takes its name from the Latin phrase quod erat demonstrandum (which was what would have been demonstrated) relies on the principle of zero knowledge proofs to provide audit and due diligence services for financial institutions.
States like Kansas and Georgia recently petitioned the U.S. Election Assistance Commission, an entity charged with producing the federal voter registration form, to include in their state-specific instructions that proofs of citizenship be incorporated into the registration process.
But 20 proofs of prints by Mr. Hodgkin all soared above their estimates, led by a £32,500 (about $43,000) offer given by a bidder in the room for a proof of the large blue-and-white "Frost" (2000-2).
For example, zero-knowledge proofs can be used to validate cryptocurrency transactions managed on a blockchain and combat fraud without revealing data about which wallet a payment came from, where it was sent, or how much currency changed hands.
Beijing's own pressure on South Korea, dire warnings to Japan about its military buildup and constant skirmishes with U.S. air and naval assets around its maritime borders are all eloquent proofs that a meaningful political discussion has broken down.
Proofs of obscure provenance are sometimes overlooked at first, but usually not for long: A major paper like Royen's would normally get submitted and published somewhere like the Annals of Statistics, experts said, and then everybody would hear about it.
The proofs of claim were filed between 2012 and 2015 by employees of a third-party vendor who did not review their contents, and had been working on behalf of Citigroup affiliate Department Stores National Bank, which issued the accounts.
Tauba Auerbach, '[2,3]' (2016) (All screen shots by the author for Hyperallergic)Tauba Auerbach, '[2,3]' (2016)Published by New York-based art book press Printed Matter, [2,3] is available in a signed and numbered edition of 1,000, plus 100 proofs.
The $2,295 Magic Leap One headset is a very polished-looking developer kit, but it didn't ship with a ton of software for buyers to play around with at launch, just a couple short experiences that were essentially concept proofs.
Similar poll closings happened in other parts of the country, and I haven't even mentioned the Russian efforts documented by the Mueller report and the demands for proofs of identity that are often costly, or even impossible, for many to produce.
With the exception of one grand experiment—the free-form poem "Un Coup de Dés," or "A Throw of the Dice," proofs of which he was correcting at the time of his death—Mallarmé persisted with his sonnets and alexandrines.
Instantly recognizable for his ascot neckties and spider brooches, Villani in 2010 won the maths equivalent to the Nobel Prize, the Fields Medal, for what the award called "proofs of nonlinear Landau damping and convergence to equilibrium of the Boltzmann equation".
David Thouless, a physicist then at Cambridge University who would go on to win the Nobel Prize in 2016, and Yosuke Nagaoka, a physicist visiting UC San Diego from Nagoya University at the time, published their proofs in 1965 and 23, respectively.
"Those high proofs are fine for a sip to taste the power of the spirit; however, if you drink barrel-proof whiskeys, the strength could damage the lining of your esophagus, besides the fact you may end up with a nasty hangover."
Houghton Mifflin Harcourt is also a textbook publishing giant, and editors in that division happened to see page proofs of "Thing Explainer," which attempts to explain concepts like tectonic plates, cells and nuclear bombs using just the thousand most common words in English.
I took the proofs of my book with me to work on during the day, and in my lofty room overlooking the vineyards, I lay in bed dressed in a set of Graham Greene's brightly striped pajamas, given to me by the family.
The idea is that the prices of each new set of editions are reduced by half, so after the first 300 artist proofs sell, the next 300 will cost $15,000 apiece, although they will only be available as packages for predetermined museums and private collections.
These keys also maintain all of their own personal data, which they approve for usage by dapps on the Ethereum "world computer," which performs billions of transactions per second courtesy of Plasma and (again) AIs monitoring the system with fraud proofs at the ready.
"Many of the proofs trace directly back to him, or were initiated by his supreme insight in asking the right question or in making the right conjecture," Aigner and Ziegler, who are now both professors at the Free University of Berlin, write in the preface.
"Operationalising AI is currently the industry's toughest challenge, and few companies have been successful at taking proofs-of-concept out of the lab, imbedding them strategically in their operations, and delivering actual business impact," said Element AI CEO Jean-François (JF) Gagné in a statement.
Each digital ID is unique to each person, cryptographically secured with a private key (a unique password) on the person's device, and made up of multiple data points, or factors: proofs of residence and citizenship, biometric data, and voter registration, to name a few.
Collect all the portraits lining the many profile pieces of white supremacist Richard Spencer, and you might think you were holding the proofs for a slightly down-market GQ. A soft-faced white man in a too-tight peacoat, posing in a DC park.
German bank Berenberg last week wrote in a report that blockchain was an "overhyped technology" that faced important challenges, pointing out that there had so far been very few success stories, despite a huge number of pilots and "proofs of concept" of the technology.
But here's the rub: Duncan is a published author with best-selling books about climate change under his belt; Robin is an Oxford-educated Computer Science PhD who, when the flu has him laid up on the couch, finds proofs for N-P quite-hard math problems.
Security is an essential component of how that business will continue to grow for Amazon and the wider industry: more trust in the infrastructure, and more proofs that cloud architectures can work better than using and scaling the legacy systems that businesses use today, will bolster the business.
The company was working on a way to develop consumer applications for the basic technology as well as on proofs of concept for variations involving other queer identities, as soon as the company's legal office could figure out good solutions to get around the stronger protections those identities enjoyed.
The entries reproduce frontispieces and proofs (if available), but also detail the books' page size, pagination and inclusion of unnumbered or blank leaves, techniques and printing studios used for illustrations, typography including printers and presses (with illustrations of trail fonts used if available), paper type, and edition run.
In order to obtain and maintain medical patient status, applicants must fill out an application with two proofs of DC identification, a recommendation from a licensed medical marijuana physician, and waiting at least 22 days for the Department of Health to process the application, and a $23 fee.
Making the dough tonight will give you incredible pizzas tomorrow or, in truth, on Sunday; our dough recipe, learned at the elbow of the pizza shaman Anthony Falco of Roberta's in Brooklyn, holds well in the fridge for a day or so, taking on a terrific tang while it proofs.
While the model-themed coffee table book is one of the first of its kind — and oh are the pictures divine — it serves as a time capsule of what the industry used to look like, and proofs just how much they influenced and shaped the industry as it stands today.
Thus any editor, "of genius" or otherwise, had to work on his list as a whole, shuttling between a wide range of projects in different stages of development: marking up page proofs, cajoling authors, reading stacks of manuscripts and letters of introduction, and occasionally making offers that could change a life.
Its goal was to transform a slow and opaque process in which trials happened behind closed doors and where, too often, evidence was based on torture, forced confessions or fabricated proofs into one that relied on open-court trials, with a higher threshold for evidence and faster adjudication and sentencing.
And seeing as the cool new thing for twenty- and thirtysomethings is to embrace the nostalgic markers of youth — Pokémon, adult summer camps, spaghetti straps — we decided we'd swap out the current products in our makeup bags for the ones we used back in the days of note-passing and geometry proofs.
Lives When I arrived one day a couple of years ago at the gemeente, or government offices, in Amsterdam to apply for Dutch citizenship, tucked under my arm were reams of immigration-course certificates, language-test results, bank statements, birth certificates, police statements and endless other proofs and verifications compiled over several years.

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