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Vitalik

Vitalik

3 years ago

An approximate introduction to how zk-SNARKs are possible (part 2)

If tasked with the problem of coming up with a zk-SNARK protocol, many people would make their way to this point and then get stuck and give up. How can a verifier possibly check every single piece of the computation, without looking at each piece of the computation individually? But it turns out that there is a clever solution.

Polynomials

Polynomials are a special class of algebraic expressions of the form:

  • x+5
  • x^4
  • x^3+3x^2+3x+1
  • 628x^{271}+318x^{270}+530x^{269}+…+69x+381

i.e. they are a sum of any (finite!) number of terms of the form cx^k

There are many things that are fascinating about polynomials. But here we are going to zoom in on a particular one: polynomials are a single mathematical object that can contain an unbounded amount of information (think of them as a list of integers and this is obvious). The fourth example above contained 816 digits of tau, and one can easily imagine a polynomial that contains far more.

Furthermore, a single equation between polynomials can represent an unbounded number of equations between numbers. For example, consider the equation A(x)+ B(x) = C(x). If this equation is true, then it's also true that:

  • A(0)+B(0)=C(0)
  • A(1)+B(1)=C(1)
  • A(2)+B(2)=C(2)
  • A(3)+B(3)=C(3)

And so on for every possible coordinate. You can even construct polynomials to deliberately represent sets of numbers so you can check many equations all at once. For example, suppose that you wanted to check:

  • 12+1=13
  • 10+8=18
  • 15+8=23
  • 15+13=28

You can use a procedure called Lagrange interpolation to construct polynomials A(x) that give (12,10,15,15) as outputs at some specific set of coordinates (eg. (0,1,2,3)), B(x) the outputs (1,8,8,13) on thos same coordinates, and so forth. In fact, here are the polynomials:

  • A(x)=-2x^3+\frac{19}{2}x^2-\frac{19}{2}x+12
  • B(x)=2x^3-\frac{19}{2}x^2+\frac{29}{2}x+1
  • C(x)=5x+13

Checking the equation A(x)+B(x)=C(x) with these polynomials checks all four above equations at the same time.

Comparing a polynomial to itself

You can even check relationships between a large number of adjacent evaluations of the same polynomial using a simple polynomial equation. This is slightly more advanced. Suppose that you want to check that, for a given polynomial F, F(x+2)=F(x)+F(x+1) with the integer range {0,1…89} (so if you also check F(0)=F(1)=1, then F(100) would be the 100th Fibonacci number)

As polynomials, F(x+2)-F(x+1)-F(x) would not be exactly zero, as it could give arbitrary answers outside the range x={0,1…98}. But we can do something clever. In general, there is a rule that if a polynomial P is zero across some set S=\{x_1,x_2…x_n\} then it can be expressed as P(x)=Z(x)*H(x), where Z(x)=(x-x_1)*(x-x_2)*…*(x-x_n) and H(x) is also a polynomial. In other words, any polynomial that equals zero across some set is a (polynomial) multiple of the simplest (lowest-degree) polynomial that equals zero across that same set.

Why is this the case? It is a nice corollary of polynomial long division: the factor theorem. We know that, when dividing P(x) by Z(x), we will get a quotient Q(x) and a remainder R(x) is strictly less than that of Z(x). Since we know that P is zero on all of S, it means that R has to be zero on all of S as well. So we can simply compute R(x) via polynomial interpolation, since it's a polynomial of degree at most n-1 and we know n values (the zeros at S). Interpolating a polynomial with all zeroes gives the zero polynomial, thus R(x)=0 and H(x)=Q(x).

Going back to our example, if we have a polynomial F that encodes Fibonacci numbers (so F(x+2)=F(x)+F(x+1) across x=\{0,1…98\}), then I can convince you that F actually satisfies this condition by proving that the polynomial P(x)=F(x+2)-F(x+1)-F(x) is zero over that range, by giving you the quotient:
H(x)=\frac{F(x+2)-F(x+1)-F(x)}{Z(x)}
Where Z(x) = (x-0)*(x-1)*…*(x-98).
You can calculate Z(x) yourself (ideally you would have it precomputed), check the equation, and if the check passes then F(x) satisfies the condition!

Now, step back and notice what we did here. We converted a 100-step-long computation into a single equation with polynomials. Of course, proving the N'th Fibonacci number is not an especially useful task, especially since Fibonacci numbers have a closed form. But you can use exactly the same basic technique, just with some extra polynomials and some more complicated equations, to encode arbitrary computations with an arbitrarily large number of steps.

see part 3

(Edited)

Hackernoon

Hackernoon

3 years ago


👏 Awesome post! When is part 3 coming?

Trent Lapinski

Trent Lapinski

3 years ago

Very complex topic, great explanation

More on Web3 & Crypto

JEFF JOHN ROBERTS

3 years ago

What just happened in cryptocurrency? A plain-English Q&A about Binance's FTX takedown.

Crypto people have witnessed things. They've seen big hacks, mind-boggling swindles, and amazing successes. They've never seen a day like Tuesday, when the world's largest crypto exchange murdered its closest competition.

Here's a primer on Binance and FTX's lunacy and why it matters if you're new to crypto.

What happened?

CZ, a shrewd Chinese-Canadian billionaire, runs Binance. FTX, a newcomer, has challenged Binance in recent years. SBF (Sam Bankman-Fried)—a young American with wild hair—founded FTX (initials are a thing in crypto).

Last weekend, CZ complained about SBF's lobbying and then exploited Binance's market power to attack his competition.

How did CZ do that?

CZ invested in SBF's new cryptocurrency exchange when they were friends. CZ sold his investment in FTX for FTT when he no longer wanted it. FTX clients utilize those tokens to get trade discounts, although they are less liquid than Bitcoin.

SBF made a mistake by providing CZ just too many FTT tokens, giving him control over FTX. It's like Pepsi handing Coca-Cola a lot of stock it could sell at any time. CZ got upset with SBF and flooded the market with FTT tokens.

SBF owns a trading fund with many FTT tokens, therefore this was catastrophic. SBF sought to defend FTT's worth by selling other assets to buy up the FTT tokens flooding the market, but it didn't succeed, and as FTT's value plummeted, his liabilities exceeded his assets. By Tuesday, his companies were insolvent, so he sold them to his competition.

Crazy. How could CZ do that?

CZ likely did this to crush a rising competition. It was also personal. In recent months, regulators have been tough toward the crypto business, and Binance and FTX have been trying to stay on their good side. CZ believed SBF was poisoning U.S. authorities by saying CZ was linked to China, so CZ took retribution.

“We supported previously, but we won't pretend to make love after divorce. We're neutral. But we won't assist people that push against other industry players behind their backs," CZ stated in a tragic tweet on Sunday. He crushed his rival's company two days later.

So does Binance now own FTX?

No. Not yet. CZ has only stated that Binance signed a "letter of intent" to acquire FTX. CZ and SBF say Binance will protect FTX consumers' funds.

Who’s to blame?

You could blame CZ for using his control over FTX to destroy it. SBF is also being criticized for not disclosing the full overlap between FTX and his trading company, which controlled plenty of FTT. If he had been upfront, someone might have warned FTX about this vulnerability earlier, preventing this mess.

Others have alleged that SBF utilized customer monies to patch flaws in his enterprises' balance accounts. That happened to multiple crypto startups that collapsed this spring, which is unfortunate. These are allegations, not proof.

Why does this matter? Isn't this common in crypto?

Crypto is notorious for shady executives and pranks. FTX is the second-largest crypto business, and SBF was largely considered as the industry's golden boy who would help it get on authorities' good side. Thus far.

Does this affect cryptocurrency prices?

Short-term, it's bad. Prices fell on suspicions that FTX was in peril, then rallied when Binance rescued it, only to fall again later on Tuesday.

These occurrences have hurt FTT and SBF's Solana token. It appears like a huge token selloff is affecting the rest of the market. Bitcoin fell 10% and Ethereum 15%, which is bad but not catastrophic for the two largest coins by market cap.

Jayden Levitt

Jayden Levitt

3 years ago

The country of El Salvador's Bitcoin-obsessed president lost $61.6 million.

It’s only a loss if you sell, right?

Created by Author — Using Toonme

Nayib Bukele proclaimed himself “the world’s coolest dictator”.

His jokes aren't clear.

El Salvador's 43rd president self-proclaimed “CEO of El Salvador” couldn't be less presidential.

His thin jeans, aviator sunglasses, and baseball caps like a cartel lord.

He's popular, though.

Bukele won 53% of the vote by fighting violent crime and opposition party corruption.

El Salvador's 6.4 million inhabitants are riding the cryptocurrency volatility wave.

They were powerless.

Their autocratic leader, a former Yamaha Motors salesperson and Bitcoin believer, wants to help 70% unbanked locals.

He intended to give the citizens a way to save money and cut the country's $200 million remittance cost.

Transfer and deposit costs.

This makes logical sense when the president’s theatrics don’t blind you.

El Salvador's Bukele revealed plans to make bitcoin legal tender.

Remittances total $5.9 billion (23%) of the country's expenses.

Anything that reduces costs could boost the economy.

The country’s unbanked population is staggering. Here’s the data by % of people who either have a bank account (Blue) or a mobile money account (Black).

Source — statista.com

According to Bukele, 46% of the population has downloaded the Chivo Bitcoin Wallet.

In 2021, 36% of El Salvadorans had bank accounts.


Large rural countries like Kenya seem to have resolved their unbanked dilemma.

An economy surfaced where village locals would sell, trade and store network minutes and data as a store of value.

Kenyan phone networks realized unbanked people needed a safe way to accumulate wealth and have an emergency fund.

96% of Kenyans utilize M-PESA, which doesn't require a bank account.

The software involves human agents who hang out with cash and a phone.

These people are like ATMs.

You offer them cash to deposit money in your mobile money account or withdraw cash.

In a country with a faulty banking system, cash availability and a safe place to deposit it are important.

William Jack and Tavneet Suri found that M-PESA brought 194,000 Kenyan households out of poverty by making transactions cheaper and creating a safe store of value.

2016 Science paper

Mobile money, a service that allows monetary value to be stored on a mobile phone and sent to other users via text messages, has been adopted by most Kenyan households. We estimate that access to the Kenyan mobile money system M-PESA increased per capita consumption levels and lifted 194,000 households, or 2% of Kenyan households, out of poverty.

The impacts, which are more pronounced for female-headed households, appear to be driven by changes in financial behaviour — in particular, increased financial resilience and saving. Mobile money has therefore increased the efficiency of the allocation of consumption over time while allowing a more efficient allocation of labour, resulting in a meaningful reduction of poverty in Kenya.


Currently, El Salvador has 2,301 Bitcoin.

At publication, it's worth $44 million. That remains 41% of Bukele's original $105.6 million.

Unknown if the country has sold Bitcoin, but Bukeles keeps purchasing the dip.

It's still falling.

Source — Nayib Bukele — Twitter

This might be a fantastic move for the impoverished country over the next five years, if they can live economically till Bitcoin's price recovers.

The evidence demonstrates that a store of value pulls individuals out of poverty, but others say Bitcoin is premature.

You may regard it as an aggressive endeavor to front run the next wave of adoption, offering El Salvador a financial upside.

David Z. Morris

3 years ago

FTX's crash was no accident, it was a crime

Sam Bankman Fried (SDBF) is a legendary con man. But the NYT might not tell you that...

Since SBF's empire was revealed to be a lie, mainstream news organizations and commentators have failed to give readers a straightforward assessment. The New York Times and Wall Street Journal have uncovered many key facts about the scandal, but they have also soft-peddled Bankman-Fried's intent and culpability.

It's clear that the FTX crypto exchange and Alameda Research committed fraud to steal money from users and investors. That’s why a recent New York Times interview was widely derided for seeming to frame FTX’s collapse as the result of mismanagement rather than malfeasance. A Wall Street Journal article lamented FTX's loss of charitable donations, bolstering Bankman's philanthropic pose. Matthew Yglesias, court chronicler of the neoliberal status quo, seemed to whitewash his own entanglements by crediting SBF's money with helping Democrats in 2020 – sidestepping the likelihood that the money was embezzled.

Many outlets have called what happened to FTX a "bank run" or a "run on deposits," but Bankman-Fried insists the company was overleveraged and disorganized. Both attempts to frame the fallout obscure the core issue: customer funds misused.

Because banks lend customer funds to generate returns, they can experience "bank runs." If everyone withdraws at once, they can experience a short-term cash crunch but there won't be a long-term problem.

Crypto exchanges like FTX aren't banks. They don't do bank-style lending, so a withdrawal surge shouldn't strain liquidity. FTX promised customers it wouldn't lend or use their crypto.

Alameda's balance sheet blurs SBF's crypto empire.

The funds were sent to Alameda Research, where they were apparently gambled away. This is massive theft. According to a bankruptcy document, up to 1 million customers could be affected.

In less than a month, reporting and the bankruptcy process have uncovered a laundry list of decisions and practices that would constitute financial fraud if FTX had been a U.S.-regulated entity, even without crypto-specific rules. These ploys may be litigated in U.S. courts if they enabled the theft of American property.

The list is very, very long.

The many crimes of Sam Bankman-Fried and FTX

At the heart of SBF's fraud are the deep and (literally) intimate ties between FTX and Alameda Research, a hedge fund he co-founded. An exchange makes money from transaction fees on user assets, but Alameda trades and invests its own funds.

Bankman-Fried called FTX and Alameda "wholly separate" and resigned as Alameda's CEO in 2019. The two operations were closely linked. Bankman-Fried and Alameda CEO Caroline Ellison were romantically linked.

These circumstances enabled SBF's sin.  Within days of FTX's first signs of weakness, it was clear the exchange was funneling customer assets to Alameda for trading, lending, and investing. Reuters reported on Nov. 12 that FTX sent $10 billion to Alameda. As much as $2 billion was believed to have disappeared after being sent to Alameda. Now the losses look worse.

It's unclear why those funds were sent to Alameda or when Bankman-Fried betrayed his depositors. On-chain analysis shows most FTX to Alameda transfers occurred in late 2021, and bankruptcy filings show both lost $3.7 billion in 2021.

SBF's companies lost millions before the 2022 crypto bear market. They may have stolen funds before Terra and Three Arrows Capital, which killed many leveraged crypto players.

FTT loans and prints

CoinDesk's report on Alameda's FTT holdings ignited FTX and Alameda Research. FTX created this instrument, but only a small portion was traded publicly; FTX and Alameda held the rest. These holdings were illiquid, meaning they couldn't be sold at market price. Bankman-Fried valued its stock at the fictitious price.

FTT tokens were reportedly used as collateral for loans, including FTX loans to Alameda. Close ties between FTX and Alameda made the FTT token harder or more expensive to use as collateral, reducing the risk to customer funds.

This use of an internal asset as collateral for loans between clandestinely related entities is similar to Enron's 1990s accounting fraud. These executives served 12 years in prison.

Alameda's margin liquidation exemption

Alameda Research had a "secret exemption" from FTX's liquidation and margin trading rules, according to legal filings by FTX's new CEO.

FTX, like other crypto platforms and some equity or commodity services, offered "margin" or loans for trades. These loans are usually collateralized, meaning borrowers put up other funds or assets. If a margin trade loses enough money, the exchange will sell the user's collateral to pay off the initial loan.

Keeping asset markets solvent requires liquidating bad margin positions. Exempting Alameda would give it huge advantages while exposing other FTX users to hidden risks. Alameda could have kept losing positions open while closing out competitors. Alameda could lose more on FTX than it could pay back, leaving a hole in customer funds.

The exemption is criminal in multiple ways. FTX was fraudulently marketed overall. Instead of a level playing field, there were many customers.

Above them all, with shotgun poised, was Alameda Research.

Alameda front-running FTX listings

Argus says there's circumstantial evidence that Alameda Research had insider knowledge of FTX's token listing plans. Alameda was able to buy large amounts of tokens before the listing and sell them after the price bump.

If true, these claims would be the most brazenly illegal of Alameda and FTX's alleged shenanigans. Even if the tokens aren't formally classified as securities, insider trading laws may apply.

In a similar case this year, an OpenSea employee was charged with wire fraud for allegedly insider trading. This employee faces 20 years in prison for front-running monkey JPEGs.

Huge loans to executives

Alameda Research reportedly lent FTX executives $4.1 billion, including massive personal loans. Bankman-Fried received $1 billion in personal loans and $2.3 billion for an entity he controlled, Paper Bird. Nishad Singh, director of engineering, was given $543 million, and FTX Digital Markets co-CEO Ryan Salame received $55 million.

FTX has more smoking guns than a Texas shooting range, but this one is the smoking bazooka – a sign of criminal intent. It's unclear how most of the personal loans were used, but liquidators will have to recoup the money.

The loans to Paper Bird were even more worrisome because they created another related third party to shuffle assets. Forbes speculates that some Paper Bird funds went to buy Binance's FTX stake, and Paper Bird committed hundreds of millions to outside investments.

FTX Inner Circle: Who's Who

That included many FTX-backed VC funds. Time will tell if this financial incest was criminal fraud. It fits Bankman-pattern Fried's of using secret flows, leverage, and funny money to inflate asset prices.

FTT or loan 'bailouts'

Also. As the crypto bear market continued in 2022, Bankman-Fried proposed bailouts for bankrupt crypto lenders BlockFi and Voyager Digital. CoinDesk was among those deceived, welcoming SBF as a J.P. Morgan-style sector backstop.

In a now-infamous interview with CNBC's "Squawk Box," Bankman-Fried referred to these decisions as bets that may or may not pay off.

But maybe not. Bloomberg's Matt Levine speculated that FTX backed BlockFi with FTT money. This Monopoly bailout may have been intended to hide FTX and Alameda liabilities that would have been exposed if BlockFi went bankrupt sooner. This ploy has no name, but it echoes other corporate frauds.

Secret bank purchase

Alameda Research invested $11.5 million in the tiny Farmington State Bank, doubling its net worth. As a non-U.S. entity and an investment firm, Alameda should have cleared regulatory hurdles before acquiring a U.S. bank.

In the context of FTX, the bank's stake becomes "ominous." Alameda and FTX could have done more shenanigans with bank control. Compare this to the Bank for Credit and Commerce International's failed attempts to buy U.S. banks. BCCI was even nefarious than FTX and wanted to buy U.S. banks to expand its money-laundering empire.

The mainstream's mistakes

These are complex and nuanced forms of fraud that echo traditional finance models. This obscurity helped Bankman-Fried masquerade as an honest player and likely kept coverage soft after the collapse.

Bankman-Fried had a scruffy, nerdy image, like Mark Zuckerberg and Adam Neumann. In interviews, he spoke nonsense about an industry full of jargon and complicated tech. Strategic donations and insincere ideological statements helped him gain political and social influence.

SBF' s'Effective' Altruism Blew Up FTX

Bankman-Fried has continued to muddy the waters with disingenuous letters, statements, interviews, and tweets since his con collapsed. He's tried to portray himself as a well-intentioned but naive kid who made some mistakes. This is a softer, more pernicious version of what Trump learned from mob lawyer Roy Cohn. Bankman-Fried doesn't "deny, deny, deny" but "confuse, evade, distort."

It's mostly worked. Kevin O'Leary, who plays an investor on "Shark Tank," repeats Bankman-SBF's counterfactuals.  O'Leary called Bankman-Fried a "savant" and "probably one of the most accomplished crypto traders in the world" in a Nov. 27 interview with Business Insider, despite recent data indicating immense trading losses even when times were good.

O'Leary's status as an FTX investor and former paid spokesperson explains his continued affection for Bankman-Fried despite contradictory evidence. He's not the only one promoting Bankman-Fried. The disgraced son of two Stanford law professors will defend himself at Wednesday's DealBook Summit.

SBF's fraud and theft rival those of Bernie Madoff and Jho Low. Whether intentionally or through malign ineptitude, the fraud echoes Worldcom and Enron.

The Perverse Impacts of Anti-Money-Laundering

The principals in all of those scandals wound up either sentenced to prison or on the run from the law. Sam Bankman-Fried clearly deserves to share their fate.

Read the full article here.

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obimy.app

obimy.app

3 years ago

How TikTok helped us grow to 6 million users

This resulted to obimy's new audience.

Hi! obimy's official account. Here, we'll teach app developers and marketers. In 2022, our downloads increased dramatically, so we'll share what we learned.

obimy is what we call a ‘senseger’. It's a new method to communicate digitally. Instead of text, obimy users connect through senses and moods. Feeling playful? Flirt with your partner, pat a pal, or dump water on a classmate. Each feeling is an interactive animation with vibration. It's a wordless app. App Store and Google Play have obimy.

We had 20,000 users in 2022. Two to five thousand of them opened the app monthly. Our DAU metric was 500.

We have 6 million users after 6 months. 500,000 individuals use obimy daily. obimy was the top lifestyle app this week in the U.S.

And TikTok helped.

TikTok fuels obimys' growth. It's why our app exploded. How and what did we learn? Our Head of Marketing, Anastasia Avramenko, knows.

our actions prior to TikTok

We wanted to achieve product-market fit through organic expansion. Quora, Reddit, Facebook Groups, Facebook Ads, Google Ads, Apple Search Ads, and social media activity were tested. Nothing worked. Our CPI was sometimes $4, so unit economics didn't work.

We studied our markets and made audience hypotheses. We promoted our goods and studied our audience through social media quizzes. Our target demographic was Americans in long-distance relationships. I designed quizzes like Test the Strength of Your Relationship to better understand the user base. After each quiz, we encouraged users to download the app to enhance their connection and bridge the distance.

One of the quizzes

We got 1,000 responses for $50. This helped us comprehend the audience's grief and coping strategies (aka our rivals). I based action items on answers given. If you can't embrace a loved one, use obimy.

We also tried Facebook and Google ads. From the start, we knew it wouldn't work.

We were desperate to discover a free way to get more users.

Our journey to TikTok

TikTok is a great venue for emerging creators. It also helped reach people. Before obimy, my TikTok videos garnered 12 million views without sponsored promotion.

We had to act. TikTok was required.

Our first TikTok videos

I wasn't a TikTok user before obimy. Initially, I uploaded promotional content. Call-to-actions appear strange next to dancing challenges and my money don't jiggle jiggle. I learned TikTok. Watch TikTok for an hour was on my to-do list. What a dream job!

Our most popular movies presented the app alongside text outlining what it does. We started promoting them in Europe and the U.S. and got a 16% CTR and $1 CPI, an improvement over our previous efforts.

Somehow, we were expanding. So we came up with new hypotheses, calls to action, and content.

Four months passed, yet we saw no organic growth.

Russia attacked Ukraine.

Our app aimed to be helpful. For now, we're focusing on our Ukrainian audience. I posted sloppy TikToks illustrating how obimy can help during shelling or air raids.

In two hours, Kostia sent me our visitor count. Our servers crashed.

Initially, we had several thousand daily users. Over 200,000 users joined obimy in a week. They posted obimy videos on TikTok, drawing additional users. We've also resumed U.S. video promotion.

We gained 2,000,000 new members with less than $100 in ads, primarily in the U.S. and U.K.

TikTok helped.

The figures

We were confident we'd chosen the ideal tool for organic growth.

  • Over 45 million people have viewed our own videos plus a ton of user-generated content with the hashtag #obimy.

  • About 375 thousand people have liked all of our individual videos.

  • The number of downloads and the virality of videos are directly correlated.

Where are we now?

TikTok fuels our organic growth. We post 56 videos every week and pay to promote viral content.

We use UGC and influencers. We worked with Universal Music Italy on Eurovision. They offered to promote us through their million-follower TikTok influencers. We thought their followers would improve our audience, but it didn't matter. Integration didn't help us. Users that share obimy videos with their followers can reach several million views, which affects our download rate.

After the dust settled, we determined our key audience was 13-18-year-olds. They want to express themselves, but it's sometimes difficult. We're searching for methods to better engage with our users. We opened a Discord server to discuss anime and video games and gather app and content feedback.

TikTok helps us test product updates and hypotheses. Example: I once thought we might raise MAU by prompting users to add strangers as friends. Instead of asking our team to construct it, I made a TikTok urging users to share invite URLs. Users share links under every video we upload, embracing people worldwide.

Key lessons

Don't direct-sell. TikTok isn't for Instagram, Facebook, or YouTube promo videos. Conventional advertisements don't fit. Most users will swipe up and watch humorous doggos.

More product videos are better. Finally. So what?

Encourage interaction. Tagging friends in comments or making videos with the app promotes it more than any marketing spend.

Be odd and risqué. A user mistakenly sent a French kiss to their mom in one of our most popular videos.

TikTok helps test hypotheses and build your user base. It also helps develop apps. In our upcoming blog, we'll guide you through obimy's design revisions based on TikTok. Follow us on Twitter, Instagram, and TikTok.

Aniket

Aniket

3 years ago

Yahoo could have purchased Google for $1 billion

Let's see this once-dominant IT corporation crumble.

Photo by Vikram Sundaramoorthy

What's the capital of Kazakhstan? If you don't know the answer, you can probably find it by Googling. Google Search returned results for Nur-Sultan in 0.66 seconds.

Google is the best search engine I've ever used. Did you know another search engine ruled the Internet? I'm sure you guessed Yahoo!

Google's friendly UI and wide selection of services make it my top choice. Let's explore Yahoo's decline.

Yahoo!

YAHOO stands for Yet Another Hierarchically Organized Oracle. Jerry Yang and David Filo established Yahoo.

Yahoo is primarily a search engine and email provider. It offers News and an advertising platform. It was a popular website in 1995 that let people search the Internet directly. Yahoo began offering free email in 1997 by acquiring RocketMail.

According to a study, Yahoo used Google Search Engine technology until 2000 and then developed its own in 2004.

Yahoo! rejected buying Google for $1 billion

Larry Page and Sergey Brin, Google's founders, approached Yahoo in 1998 to sell Google for $1 billion so they could focus on their studies. Yahoo denied the offer, thinking it was overvalued at the time.

Yahoo realized its error and offered Google $3 billion in 2002, but Google demanded $5 billion since it was more valuable. Yahoo thought $5 billion was overpriced for the existing market.

In 2022, Google is worth $1.56 Trillion.

What happened to Yahoo!

Yahoo refused to buy Google, and Google's valuation rose, making a purchase unfeasible.

Yahoo started losing users when Google launched Gmail. Google's UI was far cleaner than Yahoo's.

Yahoo offered $1 billion to buy Facebook in July 2006, but Zuckerberg and the board sought $1.1 billion. Yahoo rejected, and Facebook's valuation rose, making it difficult to buy.

Yahoo was losing users daily while Google and Facebook gained many. Google and Facebook's popularity soared. Yahoo lost value daily.

Microsoft offered $45 billion to buy Yahoo in February 2008, but Yahoo declined. Microsoft increased its bid to $47 billion after Yahoo said it was too low, but Yahoo rejected it. Then Microsoft rejected Yahoo’s 10% bid increase in May 2008.

In 2015, Verizon bought Yahoo for $4.5 billion, and Apollo Global Management bought 90% of Yahoo's shares for $5 billion in May 2021. Verizon kept 10%.

Yahoo's opportunity to acquire Google and Facebook could have been a turning moment. It declined Microsoft's $45 billion deal in 2008 and was sold to Verizon for $4.5 billion in 2015. Poor decisions and lack of vision caused its downfall. Yahoo's aim wasn't obvious and it didn't stick to a single domain.

Hence, a corporation needs a clear vision and a leader who can see its future.

Liked this article? Join my tech and programming newsletter here.

Kyle Planck

Kyle Planck

3 years ago

The chronicles of monkeypox.

or, how I spread monkeypox and got it myself.

This story contains nsfw (not safe for wife) stuff and shouldn't be read if you're under 18 or think I'm a newborn angel. After the opening, it's broken into three sections: a chronological explanation of my disease course, my ideas, and what I plan to do next.

Your journey awaits.

As early as mid-may, I was waltzing around the lab talking about monkeypox, a rare tropical disease with an inaccurate name. Monkeys are not its primary animal reservoir. It caused an outbreak among men who have sex with men across Europe, with unprecedented levels of person-to-person transmission. European health authorities speculated that the virus spread at raves and parties and was easily transferred through intimate, mainly sexual, contact. I had already read the nejm article about the first confirmed monkeypox patient in the u.s. and shared the photos on social media so people knew what to look for. The cdc information page only included 4 photographs of monkeypox lesions that looked like they were captured on a motorola razr.

I warned my ex-boyfriend about monkeypox. Monkeypox? responded.

Mom, I'm afraid about monkeypox. What's monkeypox?

My therapist is scared about monkeypox. What's monkeypox?

Was I alone? A few science gays on Twitter didn't make me feel overreacting.

This information got my gay head turning. The incubation period for the sickness is weeks. Many of my social media contacts are traveling to Europe this summer. What is pride? Travel, parties, and sex. Many people may become infected before attending these activities. Monkeypox will affect the lgbtq+ community.

Being right always stinks. My young scientist brain was right, though. Someone who saw this coming is one of the early victims. I'll talk about my feelings publicly, and trust me, I have many concerning what's occurring.

my current vibe after two long weeks of monkeypox symptoms.

Part 1 is the specifics.

Wednesday nights are never smart but always entertaining. I didn't wake up until noon on june 23 and saw gay twitter blazing. Without warning, the nyc department of health announced a pop-up monkeypox immunization station in chelsea. Some days would be 11am-7pm. Walk-ins were welcome, however appointments were preferred. I tried to arrange an appointment after rubbing my eyes, but they were all taken. I got out of bed, washed my face, brushed my teeth, and put on short shorts because I wanted to get a walk-in dose and show off my legs. I got a 20-oz. cold brew on the way to the train and texted a chelsea-based acquaintance for help.

Clinic closed at 2pm. No more doses. Hundreds queued up. The government initially gave them only 1,000 dosages. For a city with 500,000 LGBT people, c'mon. What more could I do? I was upset by how things were handled. The evidence speaks for itself.

I decided to seek an appointment when additional doses were available and continued my weekend. I was celebrating nyc pride with pals. Fun! sex! * ‍

On tuesday after that, I felt a little burn. This wasn't surprising because I'd been sexually active throughout the weekend, so I got a sti panel the next day. I expected to get results in a few days, take antibiotics, and move on.

Emerging germs had other intentions. Wednesday night, I felt sore, and thursday morning, I had a blazing temperature and had sweat through my bedding. I had fever, chills, and body-wide aches and pains for three days. I reached 102 degrees. I believed I had covid over pride weekend, but I tested negative for three days straight.

STDs don't induce fevers or other systemic symptoms. If lymphogranuloma venereum advances, it can cause flu-like symptoms and swollen lymph nodes. I was suspicious and desperate for answers, so I researched monkeypox on the cdc website (for healthcare professionals). Much of what I saw on screen about monkeypox prodrome matched my symptoms. Multiple-day fever, headache, muscle aches, chills, tiredness, enlarged lymph nodes. Pox were lacking.

I told my doctor my concerns pre-medically. I'm occasionally annoying.

On saturday night, my fever broke and I felt better. Still burning, I was optimistic till sunday, when I woke up with five red splotches on my arms and fingertips.

As spots formed, burning became pain. I observed as spots developed on my body throughout the day. I had more than a dozen by the end of the day, and the early spots were pustular. I had monkeypox, as feared.

a story i posted on instagram detailing my symptoms.

Fourth of July weekend limited my options. I'm well-connected in my school's infectious disease academic community, so I texted a coworker for advice. He agreed it was likely monkeypox and scheduled me for testing on tuesday.

nyc health could only perform 10 monkeypox tests every day. Before doctors could take swabs and send them in, each test had to be approved by the department. Some commercial labs can now perform monkeypox testing, but the backlog is huge. I still don't have a positive orthopoxvirus test five days after my test. *My 12-day-old case may not be included in the official monkeypox tally. This outbreak is far wider than we first thought, therefore I'm attempting to spread the information and help contain it.

*Update, 7/11: I have orthopoxvirus.

I spent all day in the bathtub because of the agony. Warm lavender epsom salts helped me feel better. I can't stand lavender anymore. I brought my laptop into the bathroom and viewed everything everywhere at once (2022). If my ex and I hadn't recently broken up, I wouldn't have monkeypox. All of these things made me cry, and I sat in the bathtub on the 4th of July sobbing. I thought, Is this it? I felt like Bridesmaids' Kristen Wiig (2011). I'm a flop. From here, things can only improve.

Later that night, I wore a mask and went to my roof to see the fireworks. Even though I don't like fireworks, there was something wonderful about them this year: the colors, how they illuminated the black surfaces around me, and their transient beauty. Joyful moments rarely linger long in our life. We must enjoy them now.

Several roofs away, my neighbors gathered. Happy 4th! I heard a woman yell. Why is this godforsaken country so happy? Instead of being rude, I replied. I didn't tell them I had monkeypox. I thought that would kill the mood.

By the time I went to the hospital the next day to get my lesions swabbed, wearing long sleeves, pants, and a mask, they looked like this:

I had 30 lesions on my arms, hands, stomach, back, legs, buttcheeks, face, scalp, and right eyebrow. I had some in my mouth, gums, and throat. Current medical thought is that lesions on mucous membranes cause discomfort in sensitive places. Internal lesions are a new feature of this outbreak of monkeypox. Despite being unattractive, the other sores weren't unpleasant or bothersome.

I had a bacterial sti with the pox. Who knows if that would've created symptoms (often it doesn't), but different infections can happen at once. My care team remembered that having a sti doesn't exclude out monkeypox. doxycycline rocks!

The coworker who introduced me to testing also offered me his home. We share a restroom, and monkeypox can be spread through surfaces. (Being a dna virus gives it environmental hardiness that rna viruses like sars-cov-2 lack.) I disinfected our bathroom after every usage, but I was apprehensive. My friend's place has a guest room and second bathroom, so no cross-contamination. It was the ideal monkeypox isolation environment, so I accepted his offer and am writing this piece there. I don't know what I would have done without his hospitality and attention.

The next day, I started tecovirimat, or tpoxx, for 14 days. Smallpox has been eradicated worldwide since the 1980s but remains a bioterrorism concern. Tecovirimat has a unique, orthopoxvirus-specific method of action, which reduces side effects to headache and nausea. It hasn't been used in many people, therefore the cdc is encouraging patients who take it for monkeypox to track their disease and symptoms.

look at that molecule!!! hot.

Tpoxx's oral absorption requires a fatty meal. The hospital ordered me to take the medication after a 600-calorie, 25-gram-fat meal every 12 hours. The coordinator joked, "Don't diet for the next two weeks." I wanted to get peanut butter delivered, but jif is recalling their supply due to salmonella. Please give pathogens a break. I got almond butter.

Tpoxx study enrollment was documented. After signing consent documents, my lesions were photographed and measured during a complete physical exam. I got bloodwork to assess my health. My medication delivery was precise; every step must be accounted for. I got a two-week supply and started taking it that night. I rewarded myself with McDonald's. I'd been hungry for a week. I was also prescribed ketorolac (aka toradol), a stronger ibuprofen, for my discomfort.

I thought tpoxx was a wonder medicine by day two of treatment. Early lesions looked like this.

however, They vanished. The three largest lesions on my back flattened and practically disappeared into my skin. Some pustular lesions were diminishing. Tpoxx+toradol has helped me sleep, focus, and feel human again. I'm down to twice-daily baths and feeling hungrier than ever in this illness. On day five of tpoxx, some of the lesions look like this:

I have a ways to go. We must believe I'll be contagious until the last of my patches scabs over, falls off, and sprouts new skin. There's no way to tell. After a week and a half of tremendous pain and psychological stress, any news is good news. I'm grateful for my slow but steady development.

Part 2 of the rant.

Being close to yet not in the medical world is interesting. It lets me know a lot about it without being persuaded by my involvement. Doctors identify and treat patients using a tool called differential diagnosis.

A doctor interviews a patient to learn about them and their symptoms. More is better. Doctors may ask, "Have you traveled recently?" sex life? Have pets? preferred streaming service? (No, really. (Hbomax is right.) After the inquisition, the doctor will complete a body exam ranging from looking in your eyes, ears, and throat to a thorough physical.

After collecting data, the doctor makes a mental (or physical) inventory of all the conceivable illnesses that could cause or explain the patient's symptoms. Differential diagnosis list. After establishing the differential, the clinician can eliminate options. The doctor will usually conduct nucleic acid tests on swab samples or bloodwork to learn more. This helps eliminate conditions from the differential or boosts a condition's likelihood. In an ideal circumstance, the doctor can eliminate all but one reason of your symptoms, leaving your formal diagnosis. Once diagnosed, treatment can begin. yay! Love medicine.

My symptoms two weeks ago did not suggest monkeypox. Fever, pains, weariness, and swollen lymph nodes are caused by several things. My scandalous symptoms weren't linked to common ones. My instance shows the importance of diversity and representation in healthcare. My doctor isn't gay, but he provides culturally sensitive care. I'd heard about monkeypox as a gay man in New York. I was hyper-aware of it and had heard of friends of friends who had contracted it the week before, even though the official case count in the US was 40. My physicians weren't concerned, but I was. How would it appear on his mental differential if it wasn't on his radar? Mental differential rhymes! I'll trademark it to prevent theft. differential!

I was in a rare position to recognize my condition and advocate for myself. I study infections. I'd spent months researching monkeypox. I work at a university where I rub shoulders with some of the country's greatest doctors. I'm a gay dude who follows nyc queer social networks online. All of these variables positioned me to think, "Maybe this is monkeypox," and to explain why.

This outbreak is another example of privilege at work. The brokenness of our healthcare system is once again exposed by the inequities produced by the vaccination rollout and the existence of people like myself who can pull strings owing to their line of work. I can't cure this situation on my own, but I can be a strong voice demanding the government do a better job addressing the outbreak and giving resources and advice to everyone I can.

lgbtqia+ community members' support has always impressed me in new york. The queer community has watched out for me and supported me in ways I never dreamed were possible.

Queer individuals are there for each other when societal structures fail. People went to the internet on the first day of the vaccine rollout to share appointment information and the vaccine clinic's message. Twitter timelines were more effective than marketing campaigns. Contrary to widespread anti-vaccine sentiment, the LGBT community was eager to protect themselves. Smallpox vaccination? sure. gimme. whether I'm safe. I credit the community's sex positivity. Many people are used to talking about STDs, so there's a reduced barrier to saying, "I think I have something, you should be on the watch too," and taking steps to protect our health.

Once I got monkeypox, I posted on Twitter and Instagram. Besides fueling my main character syndrome, I felt like I wasn't alone. My dc-based friend had monkeypox within hours. He told me about his experience and gave me ideas for managing the discomfort. I can't imagine life without him.

My buddy and colleague organized my medical care and let me remain in his home. His and his husband's friendliness and attention made a world of difference in my recovery. All of my friends and family who helped me, whether by venmo, doordash, or moral support, made me feel cared about. I don't deserve the amazing people in my life.

Finally, I think of everyone who commented on my social media posts regarding my trip. Friends from all sectors of my life and all sexualities have written me well wishes and complimented me for my vulnerability, but I feel the most gravitas from fellow lgbtq+ persons. They're learning to spot. They're learning where to go ill. They're learning self-advocacy. I'm another link in our network of caretaking. I've been cared for, therefore I want to do the same. Community and knowledge are powerful.

You're probably wondering where the diatribe is. You may believe he's gushing about his loved ones, and you'd be right. I say that just because the queer community can take care of itself doesn't mean we should.

Even when caused by the same pathogen, comparing health crises is risky. Aids is unlike covid-19 or monkeypox, yet all were caused by poorly understood viruses. The lgbtq+ community has a history of self-medicating. Queer people (and their supporters) have led the charge to protect themselves throughout history when the government refused. Surreal to experience this in real time.

First, vaccination access is a government failure. The strategic national stockpile contains tens of thousands of doses of jynneos, the newest fda-approved smallpox vaccine, and millions of doses of acam2000, an older vaccine for immunocompetent populations. Despite being a monkeypox hotspot and international crossroads, new york has only received 7,000 doses of the jynneos vaccine. Vaccine appointments are booked within minutes. It's showing Hunger Games, which bothers me.

Second, I think the government failed to recognize the severity of the european monkeypox outbreak. We saw abroad reports in may, but the first vaccines weren't available until june. Why was I a 26-year-old pharmacology grad student, able to see a monkeypox problem in europe but not the u.s. public health agency? Or was there too much bureaucracy and politicking, delaying action?

Lack of testing infrastructure for a known virus with vaccinations and therapies is appalling. More testing would have helped understand the problem's breadth. Many homosexual guys, including myself, didn't behave like monkeypox was a significant threat because there were only a dozen instances across the country. Our underestimating of the issue, spurred by a story of few infections, was huge.

Public health officials' response to infectious diseases frustrates me. A wait-and-see approach to infectious diseases is unsatisfactory. Before a sick person is recognized, they've exposed and maybe contaminated numerous others. Vaccinating susceptible populations before a disease becomes entrenched prevents disease. CDC might operate this way. When it was easier, they didn't control or prevent monkeypox. We'll learn when. Sometimes I fear never. Emerging viral infections are a menace in the era of climate change and globalization, and I fear our government will repeat the same mistakes. I don't work at the cdc, thus I have no idea what they do. As a scientist, a homosexual guy, and a citizen of this country, I feel confident declaring that the cdc has not done enough about monkeypox. Will they do enough about monkeypox? The strategic national stockpile can respond to a bioterrorism disaster in 12 hours. I'm skeptical following this outbreak.

It's simple to criticize the cdc, but they're not to blame. Underfunding public health services, especially the cdc, is another way our government fails to safeguard its citizens. I may gripe about the vaccination rollout all I want, but local health departments are doing their best with limited resources. They may not have enough workers to keep up with demand and run a contact-tracing program. Since my orthopoxvirus test is still negative, the doh hasn't asked about my close contacts. By then, my illness will be two weeks old, too long to do anything productive. Not their fault. They're functioning in a broken system that's underfunded for the work it does.

*Update, 7/11: I have orthopoxvirus.

Monkeypox is slow, so i've had time to contemplate. Now that I'm better, I'm angry. furious and sad I want to help. I wish to spare others my pain. This was preventable and solvable, I hope. HOW?

Third, the duty.

Family, especially selected family, helps each other. So many people have helped me throughout this difficult time. How can I give back? I have ideas.

1. Education. I've already started doing this by writing incredibly detailed posts on Instagram about my physical sickness and my thoughts on the entire scandal. via tweets. by producing this essay. I'll keep doing it even if people start to resent me! It's crucial! On my Instagram profile (@kyleplanckton), you may discover a story highlight with links to all of my bizarre yet educational posts.

2. Resources. I've forwarded the contact information for my institution's infectious diseases clinic to several folks who will hopefully be able to get tpoxx under the expanded use policy. Through my social networks, I've learned of similar institutions. I've also shared crowdsourced resources about symptom relief and vaccine appointment availability on social media. DM me or see my Instagram highlight for more.

3. Community action. During my illness, my friends' willingness to aid me has meant the most. It was nice to know I had folks on my side. One of my pals (thanks, kenny) snagged me a mcgriddle this morning when seamless canceled my order. This scenario has me thinking about methods to help people with monkeypox isolation. A two-week isolation period is financially damaging for many hourly workers. Certain governments required paid sick leave for covid-19 to allow employees to recover and prevent spread. No comparable program exists for monkeypox, and none seems to be planned shortly.

I want to aid monkeypox patients in severe financial conditions. I'm willing to pick up and bring groceries or fund meals/expenses for sick neighbors. I've seen several GoFundMe accounts, but I wish there was a centralized mechanism to link those in need with those who can help. Please contact me if you have expertise with mutual aid organizations. I hope we can start this shortly.

4. lobbying. Personal narratives are powerful. My narrative is only one, but I think it's compelling. Over the next day or so, i'll write to local, state, and federal officials about monkeypox. I wanted a vaccine but couldn't acquire one, and I feel tpoxx helped my disease. As a pharmacologist-in-training, I believe collecting data on a novel medicine is important, and there are ethical problems when making a drug with limited patient data broadly available. Many folks I know can't receive tpoxx due of red tape and a lack of contacts. People shouldn't have to go to an ivy league hospital to obtain the greatest care. Based on my experience and other people's tales, I believe tpoxx can drastically lessen monkeypox patients' pain and potentially curb transmission chains if administered early enough. This outbreak is manageable. It's not too late if we use all the instruments we have (diagnostic, vaccine, treatment).

*UPDATE 7/15: I submitted the following letter to Chuck Schumer and Kirsten Gillibrand. I've addressed identical letters to local, state, and federal officials, including the CDC and HHS.

I hope to join RESPND-MI, an LGBTQ+ community-led assessment of monkeypox symptoms and networks in NYC. Visit their website to learn more and give to this community-based charity.

How I got monkeypox is a mystery. I received it through a pride physical interaction, but i'm not sure which one. This outbreak will expand unless leaders act quickly. Until then, I'll keep educating and connecting people to care in my neighborhood.

Despite my misgivings, I see some optimism. Health department social media efforts are underway. During the outbreak, the CDC provided nonjudgmental suggestions for safer social and sexual activity. There's additional information regarding the disease course online, including how to request tpoxx for sufferers. These materials can help people advocate for themselves if they're sick. Importantly, homosexual guys are listening when they discuss about monkeypox online and irl. Learners They're serious.

The government has a terrible track record with lgtbq+ health issues, and they're not off to a good start this time. I hope this time will be better. If I can aid even one individual, I'll do so.

Thanks for reading, supporting me, and spreading awareness about the 2022 monkeypox outbreak. My dms are accessible if you want info, resources, queries, or to chat.

y'all well

kyle