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
3 years ago
👏 Awesome post! When is part 3 coming?

Trent Lapinski
3 years ago
Very complex topic, great explanation
More on Web3 & Crypto

Isaac Benson
3 years ago
What's the difference between Proof-of-Time and Proof-of-History?

Blockchain validates transactions with consensus algorithms. Bitcoin and Ethereum use Proof-of-Work, while Polkadot and Cardano use Proof-of-Stake.
Other consensus protocols are used to verify transactions besides these two. This post focuses on Proof-of-Time (PoT), used by Analog, and Proof-of-History (PoH), used by Solana as a hybrid consensus protocol.
PoT and PoH may seem similar to users, but they are actually very different protocols.
Proof-of-Time (PoT)
Analog developed Proof-of-Time (PoT) based on Delegated Proof-of-Stake (DPoS). Users select "delegates" to validate the next block in DPoS. PoT uses a ranking system, and validators stake an equal amount of tokens. Validators also "self-select" themselves via a verifiable random function."
The ranking system gives network validators a performance score, with trustworthy validators with a long history getting higher scores. System also considers validator's fixed stake. PoT's ledger is called "Timechain."
Voting on delegates borrows from DPoS, but there are changes. PoT's first voting stage has validators (or "time electors" putting forward a block to be included in the ledger).
Validators are chosen randomly based on their ranking score and fixed stake. One validator is chosen at a time using a Verifiable Delay Function (VDF).
Validators use a verifiable delay function to determine if they'll propose a Timechain block. If chosen, they validate the transaction and generate a VDF proof before submitting both to other Timechain nodes.
This leads to the second process, where the transaction is passed through 1,000 validators selected using the same method. Each validator checks the transaction to ensure it's valid.
If the transaction passes, validators accept the block, and if over 2/3 accept it, it's added to the Timechain.
Proof-of-History (PoH)
Proof-of-History is a consensus algorithm that proves when a transaction occurred. PoH uses a VDF to verify transactions, like Proof-of-Time. Similar to Proof-of-Work, VDFs use a lot of computing power to calculate but little to verify transactions, similar to (PoW).
This shows users and validators how long a transaction took to verify.
PoH uses VDFs to verify event intervals. This process uses cryptography to prevent determining output from input.
The outputs of one transaction are used as inputs for the next. Timestamps record the inputs' order. This checks if data was created before an event.
PoT vs. PoH
PoT and PoH differ in that:
PoT uses VDFs to select validators (or time electors), while PoH measures time between events.
PoH uses a VDF to validate transactions, while PoT uses a ranking system.
PoT's VDF-elected validators verify transactions proposed by a previous validator. PoH uses a VDF to validate transactions and data.
Conclusion
Both Proof-of-Time (PoT) and Proof-of-History (PoH) validate blockchain transactions differently. PoT uses a ranking system to randomly select validators to verify transactions.
PoH uses a Verifiable Delay Function to validate transactions, verify how much time has passed between two events, and allow validators to quickly verify a transaction without malicious actors knowing the input.

Ann
3 years ago
These new DeFi protocols are just amazing.
I've never seen this before.
Focus on native crypto development, not price activity or turmoil.
CT is boring now. Either folks are still angry about FTX or they're distracted by AI. Plus, it's year-end, and people rest for the holidays. 2022 was rough.
So DeFi fans can get inspired by something fresh. Who's building? As I read the Defillama daily roundup, many updates are still on FTX and its contagion.
I've used the same method on their Raises page. Not much happened :(. Maybe my high standards are to fault, but the business may be resting. OK.
The handful I locate might last us till the end of the year. (If another big blowup occurs.)
Hashflow
An on-chain monitor account I follow reported a huge transfer of $HFT from Binance to Jump Tradings.
I was intrigued. Stacking? So I checked and discovered out the project was launched through Binance Launchpad, which has introduced many 100x tokens (although momentarily) in the past, such as GALA and STEPN.
Hashflow appears to be pumpable. Binance launchpad, VC backers, CEX listing immediately. What's the protocol?
Hasflow is intriguing and timely, I discovered. After the FTX collapse, people looked more at DEXs.
Hashflow is a decentralized exchange that connects traders with professional market makers, according to its Binance launchpad description. Post-FTX, market makers lost their MM-ing chance with the collapse of the world's third-largest exchange. Jump and Wintermute back them?
Why is that the case? Hashflow doesn't use bonding curves like standard AMM. On AMMs, you pay more for the following trade because the prior trade reduces liquidity (supply and demand). With market maker quotations, you get a CEX-like experience (fewer coins in the pool, higher price). Stable prices, no MEV frontrunning.
Hashflow is innovative because...
DEXs gained from the FTX crash, but let's be honest: DEXs aren't as good as CEXs. Hashflow will change this.
Hashflow offers MEV protection, which major dealers seek in DEXs. You can trade large amounts without front running and sandwich assaults.
Hasflow offers a user-friendly swapping platform besides MEV. Any chain can be traded smoothly. This is a benefit because DEXs lag CEXs in UX.
Status, timeline:
Wintermute wrote in August that prominent market makers will work on Hashflow. Binance launched a month-long farming session in December. Jump probably participated in this initial sell, therefore we witnessed a significant transfer after the introduction.
Binance began trading HFT token on November 11 (the day FTX imploded). coincidence?)
Tokens are used for community rewards. Perhaps they'd copy dYdX. (Airdrop?). Read their documents about their future plans. Tokenomics doesn't impress me. Governance, rewards, and NFT.
Their stat page details their activity. First came Ethereum, then Arbitrum. For a new protocol in a bear market, they handled a lot of unique users daily.
It’s interesting to see their future. Will they be thriving? Not only against DEXs, but also among the CEXs too.
STFX
I forget how I found STFX. Possibly a Twitter thread concerning Arbitrum applications. STFX was the only new protocol I found interesting.
STFX is a new concept and trader problem-solver. I've never seen this protocol.
STFX allows you copy trades. You give someone your money to trade for you.
It's a marketplace. Traders are everywhere. You put your entry, exit, liquidation point, and trading theory. Twitter has a verification system for socials. Leaderboards display your trading skill.
This service could be popular. Staying disciplined is the hardest part of trading. Sometimes you take-profit too early or too late, or sell at a loss when an asset dumps, then it soon recovers (often happens in crypto.) It's hard to stick to entry-exit and liquidation plans.
What if you could hire someone to run your trade for a little commission? Set-and-forget.
Trading money isn't easy. Trust how? How do you know they won't steal your money?
Smart contracts.
STFX's trader is a vault maker/manager. One trade=one vault. User sets long/short, entrance, exit, and liquidation point. Anyone who agrees can exchange instantly. The smart contract will keep the fund during the trade and limit the manager's actions.
Here's STFX's transaction flow.
Managers and the treasury receive fees. It's a sustainable business strategy that benefits everyone.
I'm impressed by $STFX's planned use. Brilliant priority access. A crypto dealer opens a vault here. Many would join. STFX tokens offer VIP access over those without tokens.
STFX provides short-term trading, which is mind-blowing to me. I agree with their platform's purpose. Crypto market pricing actions foster short-termism. When you trade, the turnover could be larger than long-term holding or trading. 2017 BTC buyers waited 5 years to complete their holdings.
STFX teams simply adapted. Volatility aids trading.
All things about STFX scream Degen. The protocol fully embraces the degen nature of some, if not most, crypto natives.
An enjoyable dApp. Leaderboards are fun for reputation-building. FLEXING COMPETITIONS. You can join for as low as $10. STFX uses Arbitrum, therefore gas costs are low. Alpha procedure completes the degen feeling.
Despite looking like they don't take themselves seriously, I sense a strong business plan below. There is a real demand for the solution STFX offers.

CyberPunkMetalHead
3 years ago
Developed an automated cryptocurrency trading tool for nearly a year before unveiling it this month.
Overview
I'm happy to provide this important update. We've worked on this for a year and a half, so I'm glad to finally write it. We named the application AESIR because we’ve love Norse Mythology. AESIR automates and runs trading strategies.
Volatility, technical analysis, oscillators, and other signals are currently supported by AESIR.
Additionally, we enhanced AESIR's ability to create distinctive bespoke signals by allowing it to analyze many indicators and produce a single signal.
AESIR has a significant social component that allows you to copy the best-performing public setups and use them right away.
Enter your email here to be notified when AEISR launches.
Views on algorithmic trading
First, let me clarify. Anyone who claims algorithmic trading platforms are money-printing plug-and-play devices is a liar. Algorithmic trading platforms are a collection of tools.
A trading algorithm won't make you a competent trader if you lack a trading strategy and yolo your funds without testing. It may hurt your trade. Test and alter your plans to account for market swings, but comprehend market signals and trends.
Status Report
Throughout closed beta testing, we've communicated closely with users to design a platform they want to use.
To celebrate, we're giving you free Aesir Viking NFTs and we cover gas fees.
Why use a trading Algorithm?
Automating a successful manual approach
experimenting with and developing solutions that are impossible to execute manually
One AESIR strategy lets you buy any cryptocurrency that rose by more than x% in y seconds.
AESIR can scan an exchange for coins that have gained more than 3% in 5 minutes. It's impossible to manually analyze over 1000 trading pairings every 5 minutes. Auto buy dips or DCA around a Dip
Sneak Preview
Here's the Leaderboard, where you can clone the best public settings.
As a tiny, self-funded team, we're excited to unveil our product. It's a beta release, so there's still more to accomplish, but we know where we stand.
If this sounds like a project that you might want to learn more about, you can sign up to our newsletter and be notified when AESIR launches.
Useful Links:
Join the Discord | Join our subreddit | Newsletter | Mint Free NFT
You might also like

Stephen Moore
3 years ago
Adam Neumanns is working to create the future of living in a classic example of a guy failing upward.
The comeback tour continues…
First, he founded a $47 billion co-working company (sorry, a “tech company”).
He established WeLive to disrupt apartment life.
Then he created WeGrow, a school that tossed aside the usual curriculum to feed children's souls and release their potential.
He raised the world’s consciousness.
Then he blew it all up (without raising the world’s consciousness). (He bought a wave pool.)
Adam Neumann's WeWork business burned investors' money. The founder sailed off with unimaginable riches, leaving long-time employees with worthless stocks and the company bleeding money. His track record, which includes a failing baby clothing company, should have stopped investors cold.
Once the dust settled, folks went on. We forgot about the Neumanns! We forgot about the private jets, company retreats, many houses, and WeWork's crippling. In that moment, the prodigal son of entrepreneurship returned, choosing the blockchain as his industry. His homecoming tour began with Flowcarbon, which sold Goddess Nature Tokens to lessen companies' carbon footprints.
Did it work?
Of course not.
Despite receiving $70 million from Andreessen Horowitz's a16z, the project has been halted just two months after its announcement.
This triumph should lower his grade.
Neumann seems to have moved on and has another revolutionary idea for the future of living. Flow (not Flowcarbon) aims to help people live in flow and will launch in 2023. It's the classic Neumann pitch: lofty goals, yogababble, and charisma to attract investors.
It's a winning formula for one investment fund. a16z has backed the project with its largest single check, $350 million. It has a splash page and 3,000 rental units, but is valued at over $1 billion. The blog post praised Neumann for reimagining the office and leading a paradigm-shifting global company.
Flow's mission is to solve the nation's housing crisis. How? Idk. It involves offering community-centric services in apartment properties to the same remote workforce he once wooed with free beer and a pingpong table. Revolutionary! It seems the goal is to apply WeWork's goals of transforming physical spaces and building community to apartments to solve many of today's housing problems.
The elevator pitch probably sounded great.
At least a16z knows it's a near-impossible task, calling it a seismic shift. Marc Andreessen opposes affordable housing in his wealthy Silicon Valley town. As details of the project emerge, more investors will likely throw ethics and morals out the window to go with the flow, throwing money at a man known for burning through it while building toxic companies, hoping he can bank another fantasy valuation before it all crashes.
Insanity is repeating the same action and expecting a different result. Everyone on the Neumann hype train needs to sober up.
Like WeWork, this venture Won’tWork.
Like before, it'll cause a shitstorm.

Cammi Pham
3 years ago
7 Scientifically Proven Things You Must Stop Doing To Be More Productive
Smarter work yields better results.
17-year-old me worked and studied 20 hours a day. During school breaks, I did coursework and ran a nonprofit at night. Long hours earned me national campaigns, A-list opportunities, and a great career. As I aged, my thoughts changed. Working harder isn't necessarily the key to success.
In some cases, doing less work might lead to better outcomes.
Consider a hard-working small business owner. He can't beat his corporate rivals by working hard. Time's limited. An entrepreneur can work 24 hours a day, 7 days a week, but a rival can invest more money, create a staff, and put in more man hours. Why have small startups done what larger companies couldn't? Facebook paid $1 billion for 13-person Instagram. Snapchat, a 30-person startup, rejected Facebook and Google bids. Luck and efficiency each contributed to their achievement.
The key to success is not working hard. It’s working smart.
Being busy and productive are different. Busy doesn't always equal productive. Productivity is less about time management and more about energy management. Life's work. It's using less energy to obtain more rewards. I cut my work week from 80 to 40 hours and got more done. I value simplicity.
Here are seven activities I gave up in order to be more productive.
1. Give up working extra hours and boost productivity instead.
When did the five-day, 40-hour work week start? Henry Ford, Ford Motor Company founder, experimented with his workers in 1926.
He decreased their daily hours from 10 to 8, and shortened the work week from 6 days to 5. As a result, he saw his workers’ productivity increase.
According to a 1980 Business Roundtable report, Scheduled Overtime Effect on Construction Projects, the more you work, the less effective and productive you become.
“Where a work schedule of 60 or more hours per week is continued longer than about two months, the cumulative effect of decreased productivity will cause a delay in the completion date beyond that which could have been realized with the same crew size on a 40-hour week.” Source: Calculating Loss of Productivity Due to Overtime Using Published Charts — Fact or Fiction
AlterNet editor Sara Robinson cited US military research showing that losing one hour of sleep per night for a week causes cognitive impairment equivalent to a.10 blood alcohol level. You can get fired for showing up drunk, but an all-nighter is fine.
Irrespective of how well you were able to get on with your day after that most recent night without sleep, it is unlikely that you felt especially upbeat and joyous about the world. Your more-negative-than-usual perspective will have resulted from a generalized low mood, which is a normal consequence of being overtired. More important than just the mood, this mind-set is often accompanied by decreases in willingness to think and act proactively, control impulses, feel positive about yourself, empathize with others, and generally use emotional intelligence. Source: The Secret World of Sleep: The Surprising Science of the Mind at Rest
To be productive, don't overwork and get enough sleep. If you're not productive, lack of sleep may be to blame. James Maas, a sleep researcher and expert, said 7/10 Americans don't get enough sleep.
Did you know?
Leonardo da Vinci slept little at night and frequently took naps.
Napoleon, the French emperor, had no qualms about napping. He splurged every day.
Even though Thomas Edison felt self-conscious about his napping behavior, he regularly engaged in this ritual.
President Franklin D. Roosevelt's wife Eleanor used to take naps before speeches to increase her energy.
The Singing Cowboy, Gene Autry, was known for taking regular naps in his dressing area in between shows.
Every day, President John F. Kennedy took a siesta after eating his lunch in bed.
Every afternoon, oil businessman and philanthropist John D. Rockefeller took a nap in his office.
It was unavoidable for Winston Churchill to take an afternoon snooze. He thought it enabled him to accomplish twice as much each day.
Every afternoon around 3:30, President Lyndon B. Johnson took a nap to divide his day into two segments.
Ronald Reagan, the 40th president, was well known for taking naps as well.
Source: 5 Reasons Why You Should Take a Nap Every Day — Michael Hyatt
Since I started getting 7 to 8 hours of sleep a night, I've been more productive and completed more work than when I worked 16 hours a day. Who knew marketers could use sleep?
2. Refrain from accepting too frequently
Pareto's principle states that 20% of effort produces 80% of results, but 20% of results takes 80% of effort. Instead of working harder, we should prioritize the initiatives that produce the most outcomes. So we can focus on crucial tasks. Stop accepting unproductive tasks.
“The difference between successful people and very successful people is that very successful people say “no” to almost everything.” — Warren Buffett
What should you accept? Why say no? Consider doing a split test to determine if anything is worth your attention. Track what you do, how long it takes, and the consequences. Then, evaluate your list to discover what worked (or didn't) to optimize future chores.
Most of us say yes more often than we should, out of guilt, overextension, and because it's simpler than no. Nobody likes being awful.
Researchers separated 120 students into two groups for a 2012 Journal of Consumer Research study. One group was educated to say “I can't” while discussing choices, while the other used “I don't”.
The students who told themselves “I can’t eat X” chose to eat the chocolate candy bar 61% of the time. Meanwhile, the students who told themselves “I don’t eat X” chose to eat the chocolate candy bars only 36% of the time. This simple change in terminology significantly improved the odds that each person would make a more healthy food choice.
Next time you need to say no, utilize I don't to encourage saying no to unimportant things.
The 20-second rule is another wonderful way to avoid pursuits with little value. Add a 20-second roadblock to things you shouldn't do or bad habits you want to break. Delete social media apps from your phone so it takes you 20 seconds to find your laptop to access them. You'll be less likely to engage in a draining hobby or habit if you add an inconvenience.
Lower the activation energy for habits you want to adopt and raise it for habits you want to avoid. The more we can lower or even eliminate the activation energy for our desired actions, the more we enhance our ability to jump-start positive change. Source: The Happiness Advantage: The Seven Principles of Positive Psychology That Fuel Success and Performance at Work
3. Stop doing everything yourself and start letting people help you
I once managed a large community and couldn't do it alone. The community took over once I burned out. Members did better than I could have alone. I learned about community and user-generated content.
Consumers know what they want better than marketers. Octoly says user-generated videos on YouTube are viewed 10 times more than brand-generated videos. 51% of Americans trust user-generated material more than a brand's official website (16%) or media coverage (22%). (14 percent). Marketers should seek help from the brand community.
Being a successful content marketer isn't about generating the best content, but cultivating a wonderful community.
We should seek aid when needed. We can't do everything. It's best to delegate work so you may focus on the most critical things. Instead of overworking or doing things alone, let others help.
Having friends or coworkers around can boost your productivity even if they can't help.
Just having friends nearby can push you toward productivity. “There’s a concept in ADHD treatment called the ‘body double,’ ” says David Nowell, Ph.D., a clinical neuropsychologist from Worcester, Massachusetts. “Distractable people get more done when there is someone else there, even if he isn’t coaching or assisting them.” If you’re facing a task that is dull or difficult, such as cleaning out your closets or pulling together your receipts for tax time, get a friend to be your body double. Source: Friendfluence: The Surprising Ways Friends Make Us Who We Are
4. Give up striving for perfection
Perfectionism hinders professors' research output. Dr. Simon Sherry, a psychology professor at Dalhousie University, did a study on perfectionism and productivity. Dr. Sherry established a link between perfectionism and productivity.
Perfectionism has its drawbacks.
They work on a task longer than necessary.
They delay and wait for the ideal opportunity. If the time is right in business, you are already past the point.
They pay too much attention to the details and miss the big picture.
Marketers await the right time. They miss out.
The perfect moment is NOW.
5. Automate monotonous chores instead of continuing to do them.
A team of five workers who spent 3%, 20%, 25%, 30%, and 70% of their time on repetitive tasks reduced their time spent to 3%, 10%, 15%, 15%, and 10% after two months of working to improve their productivity.
Last week, I wrote a 15-minute Python program. I wanted to generate content utilizing Twitter API data and Hootsuite to bulk schedule it. Automation has cut this task from a day to five minutes. Whenever I do something more than five times, I try to automate it.
Automate monotonous chores without coding. Skills and resources are nice, but not required. If you cannot build it, buy it.
People forget time equals money. Manual work is easy and requires little investigation. You can moderate 30 Instagram photographs for your UGC campaign. You need digital asset management software to manage 30,000 photographs and movies from five platforms. Filemobile helps individuals develop more user-generated content. You may buy software to manage rich media and address most internet difficulties.
Hire an expert if you can't find a solution. Spend money to make money, and time is your most precious asset.
Visit GitHub or Google Apps Script library, marketers. You may often find free, easy-to-use open source code.
6. Stop relying on intuition and start supporting your choices with data.
You may optimize your life by optimizing webpages for search engines.
Numerous studies might help you boost your productivity. Did you know individuals are most distracted from midday to 4 p.m.? This is what a Penn State psychology professor found. Even if you can't find data on a particular question, it's easy to run a split test and review your own results.
7. Stop working and spend some time doing absolutely nothing.
Most people don't know that being too focused can be destructive to our work or achievements. The Boston Globe's The Power of Lonely says solo time is excellent for the brain and spirit.
One ongoing Harvard study indicates that people form more lasting and accurate memories if they believe they’re experiencing something alone. Another indicates that a certain amount of solitude can make a person more capable of empathy towards others. And while no one would dispute that too much isolation early in life can be unhealthy, a certain amount of solitude has been shown to help teenagers improve their moods and earn good grades in school. Source: The Power of Lonely
Reflection is vital. We find solutions when we're not looking.
We don't become more productive overnight. It demands effort and practice. Waiting for change doesn't work. Instead, learn about your body and identify ways to optimize your energy and time for a happy existence.

Sanjay Priyadarshi
3 years ago
A 19-year-old dropped out of college to build a $2,300,000,000 company in 2 years.
His success was unforeseeable.
2014 saw Facebook's $2.3 billion purchase of Oculus VR.
19-year-old Palmer Luckey founded Oculus. He quit journalism school. His parents worried about his college dropout.
Facebook bought Oculus VR in less than 2 years.
Palmer Luckey started Anduril Industries. Palmer has raised $385 million with Anduril.
The Oculus journey began in a trailer
Palmer Luckey, 19, owned the trailer.
Luckey had his trailer customized. The trailer had all six of Luckey's screens. In the trailer's remaining area, Luckey conducted hardware tests.
At 16, he became obsessed with virtual reality. Virtual reality was rare at the time.
Luckey didn't know about VR when he started.
Previously, he liked "portabilizing" mods. Hacking ancient game consoles into handhelds.
In his city, fewer portabilizers actively traded.
Luckey started "ModRetro" for other portabilizers. Luckey was exposed to VR headsets online.
Luckey:
“Man, ModRetro days were the best.”
Palmer Luckey used VR headsets for three years. His design had 50 prototypes.
Luckey used to work at the Long Beach Sailing Center for minimum salary, servicing diesel engines and cleaning boats.
Luckey worked in a USC Institute for Creative Technologies mixed reality lab in July 2011. (ICT).
Luckey cleaned the lab, did reports, and helped other students with VR projects.
Luckey's lab job was dull.
Luckey chose to work in the lab because he wanted to engage with like-minded folks.
By 2012, Luckey had a prototype he hoped to share globally. He made cheaper headsets than others.
Luckey wanted to sell an easy-to-assemble virtual reality kit on Kickstarter.
He realized he needed a corporation to do these sales legally. He started looking for names. "Virtuality," "virtual," and "VR" are all taken.
Hence, Oculus.
If Luckey sold a hundred prototypes, he would be thrilled since it would boost his future possibilities.
John Carmack, legendary game designer
Carmack has liked sci-fi and fantasy since infancy.
Carmack loved imagining intricate gaming worlds.
His interest in programming and computer science grew with age.
He liked graphics. He liked how mismatching 0 and 1 might create new colors and visuals.
Carmack played computer games as a teen. He created Shadowforge in high school.
He founded Id software in 1991. When Carmack created id software, console games were the best-sellers.
Old computer games have weak graphics. John Carmack and id software developed "adaptive tile refresh."
This technique smoothed PC game scrolling. id software launched 3-D, Quake, and Doom using "adaptive tile refresh."
These games made John Carmack a gaming star. Later, he sold Id software to ZeniMax Media.
How Palmer Luckey met Carmack
In 2011, Carmack was thinking a lot about 3-D space and virtual reality.
He was underwhelmed by the greatest HMD on the market. Because of their flimsiness and latency.
His disappointment was partly due to the view (FOV). Best HMD had 40-degree field of view.
Poor. The best VR headset is useless with a 40-degree FOV.
Carmack intended to show the press Doom 3 in VR. He explored VR headsets and internet groups for this reason.
Carmack identified a VR enthusiast in the comments section of "LEEP on the Cheap." "PalmerTech" was the name.
Carmack approached PalmerTech about his prototype. He told Luckey about his VR demos, so he wanted to see his prototype.
Carmack got a Rift prototype. Here's his May 17 tweet.
John Carmack tweeted an evaluation of the Luckey prototype.
Dan Newell, a Valve engineer, and Mick Hocking, a Sony senior director, pre-ordered Oculus Rift prototypes with Carmack's help.
Everyone praised Luckey after Carmack demoed Rift.
Palmer Luckey received a job offer from Sony.
It was a full-time position at Sony Computer Europe.
He would run Sony’s R&D lab.
The salary would be $70k.
Who is Brendan Iribe?
Brendan Iribe started early with Startups. In 2004, he and Mike Antonov founded Scaleform.
Scaleform created high-performance middleware. This package allows 3D Flash games.
In 2011, Iribe sold Scaleform to Autodesk for $36 million.
How Brendan Iribe discovered Palmer Luckey.
Brendan Iribe's friend Laurent Scallie.
Laurent told Iribe about a potential opportunity.
Laurent promised Iribe VR will work this time. Laurent introduced Iribe to Luckey.
Iribe was doubtful after hearing Laurent's statements. He doubted Laurent's VR claims.
But since Laurent took the name John Carmack, Iribe thought he should look at Luckey Innovation. Iribe was hooked on virtual reality after reading Palmer Luckey stories.
He asked Scallie about Palmer Luckey.
Iribe convinced Luckey to start Oculus with him
First meeting between Palmer Luckey and Iribe.
The Iribe team wanted Luckey to feel comfortable.
Iribe sought to convince Luckey that launching a company was easy. Iribe told Luckey anyone could start a business.
Luckey told Iribe's staff he was homeschooled from childhood. Luckey took self-study courses.
Luckey had planned to launch a Kickstarter campaign and sell kits for his prototype. Many companies offered him jobs, nevertheless.
He's considering Sony's offer.
Iribe advised Luckey to stay independent and not join a firm. Iribe asked Luckey how he could raise his child better. No one sees your baby like you do?
Iribe's team pushed Luckey to stay independent and establish a software ecosystem around his device.
After conversing with Iribe, Luckey rejected every job offer and merger option.
Iribe convinced Luckey to provide an SDK for Oculus developers.
After a few months. Brendan Iribe co-founded Oculus with Palmer Luckey. Luckey trusted Iribe and his crew, so he started a corporation with him.
Crowdfunding
Brendan Iribe and Palmer Luckey launched a Kickstarter.
Gabe Newell endorsed Palmer's Kickstarter video.
Gabe Newell wants folks to trust Palmer Luckey since he's doing something fascinating and answering tough questions.
Mark Bolas and David Helgason backed Palmer Luckey's VR Kickstarter video.
Luckey introduced Oculus Rift during the Kickstarter campaign. He introduced virtual reality during press conferences.
Oculus' Kickstarter effort was a success. Palmer Luckey felt he could raise $250,000.
Oculus raised $2.4 million through Kickstarter. Palmer Luckey's virtual reality vision was well-received.
Mark Zuckerberg's Oculus discovery
Brendan Iribe and Palmer Luckey hired the right personnel after a successful Kickstarter campaign.
Oculus needs a lot of money for engineers and hardware. They needed investors' money.
Series A raised $16M.
Next, Andreessen Horowitz partner Brain Cho approached Iribe.
Cho told Iribe that Andreessen Horowitz could invest in Oculus Series B if the company solved motion sickness.
Mark Andreessen was Iribe's dream client.
Marc Andreessen and his partners gave Oculus $75 million.
Andreessen introduced Iribe to Zukerberg. Iribe and Zukerberg discussed the future of games and virtual reality by phone.
Facebook's Oculus demo
Iribe showed Zuckerberg Oculus.
Mark was hooked after using Oculus. The headset impressed him.
The whole Facebook crew who saw the demo said only one thing.
“Holy Crap!”
This surprised them all.
Mark Zuckerberg was impressed by the team's response. Mark Zuckerberg met the Oculus team five days after the demo.
First meeting Palmer Luckey.
Palmer Luckey is one of Mark's biggest supporters and loves Facebook.
Oculus Acquisition
Zuckerberg wanted Oculus.
Brendan Iribe had requested for $4 billion, but Mark wasn't interested.
Facebook bought Oculus for $2.3 billion after months of drama.
After selling his company, how does Palmer view money?
Palmer loves the freedom money gives him. Money frees him from small worries.
Money has allowed him to pursue things he wouldn't have otherwise.
“If I didn’t have money I wouldn’t have a collection of vintage military vehicles…You can have nice hobbies that keep you relaxed when you have money.”
He didn't start Oculus to generate money. His virtual reality passion spanned years.
He didn't have to lie about how virtual reality will transform everything until he needed funding.
The company's success was an unexpected bonus. He was merely passionate about a good cause.
After Oculus' $2.3 billion exit, what changed?
Palmer didn't mind being rich. He did similar things.
After Facebook bought Oculus, he moved to Silicon Valley and lived in a 12-person shared house due to high rents.
Palmer might have afforded a big mansion, but he prefers stability and doing things because he wants to, not because he has to.
“Taco Bell is never tasted so good as when you know you could afford to never eat taco bell again.”
Palmer's leadership shifted.
Palmer changed his leadership after selling Oculus.
When he launched his second company, he couldn't work on his passions.
“When you start a tech company you do it because you want to work on a technology, that is why you are interested in that space in the first place. As the company has grown, he has realized that if he is still doing optical design in the company it’s because he is being negligent about the hiring process.”
Once his startup grows, the founder's responsibilities shift. He must recruit better firm managers.
Recruiting talented people becomes the top priority. The founder must convince others of their influence.
A book that helped me write this:
The History of the Future: Oculus, Facebook, and the Revolution That Swept Virtual Reality — Blake Harris
*This post is a summary. Read the full article here.
