More on Technology

Mark Schaefer
2 years ago
20 Fun Uses for ChatGPT
Our RISE community is stoked on ChatGPT. ChatGPT has countless uses.
Early on. Companies are figuring out the legal and ethical implications of AI's content revolution. Using AI for everyday tasks is cool.
So I challenged RISE friends... Let's have fun and share non-obvious uses.
Onward!
1. Tweet
Jim MacLeod requested a design-themed Twitter thread from ChatGPT.
2. Novelize
Giuseppe Fratoni writes novels.
"This is amazing!" Impotent. I asked about writing, mystery novels, and jazz.
"Develop a mystery novel plot in which a disillusioned homicide detective hunts a serial killer who targets jazz musicians who play Autumn Leaves."
"I have:
Detective James Thompson is a seasoned veteran of the Homicide department, but lately he’s been feeling burnt out and disillusioned. His latest case, the murder of a young jazz pianist who was found brutally killed in his home, only serves to deepen his sense of despair … (much more provided)
3. Question-and-answer sessions
Bliss recommends:
You have a guest speaker and want to ask audience questions.
Pre-generate questions with ChatGPT. "And here's a question from our AI?"
The conference is about Western water scarcity. Water management expert. My AI question was...
Which desalination-related questions should I ask an expert?
ChatGPT said...
How is desalination currently being used around the world, and in what types of locations is it most effective?
What are the potential advantages and disadvantages of using desalination to provide fresh water?
What are some of the key challenges and limitations of desalination technology, and how are they being addressed?
4. Game-making
Richard's a board game expert. He suggests using ChatGPT to plan games. Note: Some people have started getting help solving crossword puzzle clues.
5. Matchmaking
Tanya Thompson thinks it helps dating. ChatGPT:
Here are some flirty first-message ideas for dating apps:
I noticed you from afar. I had to say hi and see if we clicked.
Your profile picture is gorgeous. I'm obsessed with your [Feature] and want to know you better.
I don't usually message first, but I had to. You're [Attractive Quality] and I can't wait to talk.”
Hello. Your profile intimidates me. I'm starstruck by your [Attractiveness]. (Many instances)
5. Solitude/anxiety
ChatGPT excels at one-on-one conversations.
PepperBrooks: "I'm sad and lonely."
ChatGPT: I’m sorry to hear that you’re feeling sad and lonely. It’s natural to feel down sometimes, but it’s important to remember that you’re not alone. There are many people who care about you and want to help you. It can be helpful to talk to someone about your feelings, whether it’s a close friend, family member, or mental health professional.
Sometimes, just expressing your thoughts and emotions to someone else can help to alleviate your sadness and loneliness. It’s also important to take care of yourself and do things that make you happy, such as spending time with loved ones, pursuing a hobby, or exercising. These things can help to improve your mood and make you feel more connected to others. Remember that you are strong and capable, and that you can get through this difficult time.
Daniel Nestle asked ChatGPT to generate journal prompts to help him deal with anxiety.
Write down the things that are causing you anxiety at the moment.
Describe a situation in which you felt anxious and how you coped with it.
Reflect on how your thoughts and beliefs contribute to your anxiety.
Write a letter to your anxiety, expressing your feelings and concerns
Imagine yourself in a calm and peaceful place, and describe it in detail.
(many more items followed)
6. Names
Continued Daniel:
Also, naming ideas.
Me: Name this drink. Japanese gin, unsweetened tonic, lime, Szechuan pepper, grapefruit.
ChatGPT: How about “Sakura Sunrise?” The name incorporates the Japanese gin and the citrus flavors of grapefruit and lime, and the word “sunrise” suggests a fresh and invigorating start to the day. Alternatively, you could go with something like “Peppered Grapefruit Gin Fizz” to emphasize the unique flavor combination of Szechuan pepper and grapefruit.
7. Translation on the go
Monks recommends: ChatGPT is a perfect mobile translation tool. Say you need help in Italy.
ME: Translate to Italian
Where is the nearest gas station?
ChatGPT: “La mia auto sta per esaurire il carburante, mi puoi dire dove si trova la stazione di servizio più vicina?”
8. Fitness
Monks added:
ME: In 3 months, I want to run 5km. Plan out how I can do this.
ChatGPT: Here's a 3-month plan to run 5km.
Start by walking for 15–20 minutes each day to build up your endurance and get your body used to regular exercise.
After a week of walking, begin incorporating short jogs into your routine. Start by jogging for 1–2 minutes at a time, with walking breaks in between. Gradually increase the length of your jogs and reduce the amount of time you spend walking.
Once you can jog for 10 minutes without stopping, start increasing the distance of your runs. Aim to run 1km without stopping and then gradually increase the distance over time.
In addition to your regular runs, incorporate strength training and stretching into your routine to improve your overall fitness and reduce the risk of injury.
(more details continued on)
9. Integrations and coding
10. Teacher lesson plans
Spencer Crandall saved time.
This morning, I wondered who has the hardest job. Teachers.
Many students, little time. ChatGPT could handle lesson planning. I tried it and got this.
Lesson Title: The History and Impact of Artificial Intelligence
Students will understand the history and development of AI and the potential positive and negative impacts on society.
AI timeline AI technologies and applications
Overview:
Introduce the topic of artificial intelligence, and explain that it refers to the development of computer systems and algorithms that can simulate human intelligence and behavior.
Show the timeline of significant events in the history of AI, and discuss the key milestones and developments in the field.
Show examples of AI technologies and applications, and explain how they are used in various industries and fields.
Discuss the potential positive and negative impacts of AI on society, including its potential to improve productivity, efficiency, and safety, as well as its potential to create new challenges and concerns, such as job displacement and ethical issues.
(many more details followed)
11. Find podcast guests.
Joeri Billast suggested:
Who should be on my Web3 podcast?
ChatGPT: Web3 marketing experts, influencers, and thought leaders make great podcast guests. These include Web3 marketers, content creators, business owners, entrepreneurs, and technologists. You could invite Web3 startups and organizations to your podcast.
Please give examples.
ChatGPT: Ideal Web3 marketing podcast guests include:
Tim Berner-Lee, inventor of the World Wide Web
Chris Dixon, general partner at Andreessen Horowitz
Vitalik Buterin, founder of Ethereum
Joe Lubin, founder of ConsenSys
Susan Fowler, author of Whistleblower
(many other suggestions)
12. Comments and reviews on social media
Lisa Monk thinks ChatGPT can help retail staff with social media.
She asked ChatGPT to "review this restaurant"
POSITIVE CUSTOMER REVIEW: I absolutely love this place. We eat out a lot however this place has topped it all. Perfect meals, amazing staff and the timing for it all was great! Special thanks to Sophie B (you rock) From your guests all the way from the Gold Coast, THANK YOU
ChatGPT REPLY: Thank you so much for your kind words and for taking the time to write a review. We are delighted to hear that you had such a great experience at our restaurant. We are thrilled that you enjoyed your meal and the service provided by Sophie. It’s always a pleasure to serve guests visiting from the Gold Coast and we are grateful for your support. We look forward to welcoming you back again soon. Thank you again for your positive review.
CUSTOMER REVIEW: Most average food, there is a nice view, But that’s about it
ChatGPT: Thank you for your review. We apologize if your dining experience was not up to your expectations. We strive to provide top-quality food and service to all of our customers, and we will take your feedback into consideration as we continue to improve. Thank you for letting us know about your experience.
13. Crime-fighting
Zack Seipert said, "I researched some famous unsolved murders, and ChatGPT laid out the crime, suspects, clues, and more." I bet experienced detectives could solve some of these cold cases.
14. Reduce bias
Joanne Taylor struggles to remove biases from her writing. She asked ChatGPT for ideas.
I asked ChatGPT to check a text for racial bias, and it did well.
15. Furnishings
I designed a small, unique table using ChatGPT and MidJourney. I edited ChatGPT's idea for clarity and brevity before entering it in MidJourney.
Results:
16. Serialize a novel
Scott Scowcoft led ChatCPT through iterations of a story text to create serialized novel frames. You can view this here.
17. Interview preparation
I was on a sales podcast. Although this is marketing-related, it's not my forte. I asked ChatGPT for help with a sales interview. Response:
Here are some interview questions about the future of sales and how to answer them.
How will technology affect sales in the future?
Technology will impact sales in the coming years. Automation and AI could be used to handle routine tasks, and data analysis and CRM could become more important. E-commerce and online sales channels are also reshaping the sales landscape.
How will the salesperson's role change?
Future sales roles may change in response to changing customer needs and expectations. Salespeople must be knowledgeable and consultative to help customers navigate complex products and services. Increasing importance of data analysis and CRM tools will require salespeople to understand and use technology effectively.
Future sales professionals will need what skills?
Future salespeople will need many skills. Sales professionals must have strong communication and interpersonal skills, as well as product and service knowledge and the ability to use data analysis and CRM tools effectively. Adapting to changing customer needs and staying current on industry trends will also be important for sales success.
18. Gift ideas
I need Christmas gift ideas for my wife. I asked:
Suggest a gift idea under $200 for a middle-aged woman who loves The Eagles.
A middle-aged woman who loves The Eagles might like a vinyl record of "Hotel California" or "The Long Run." Many music fans enjoy the unique sound and experience of vinyl records.
Pair the record with a high-quality record player for a complete gift. The vinyl record and record player should fit within your $200 budget for an Eagles fan.
19. Explaining complex concepts
I entered: Explain quantum physics to me as if I were 10 years old.
Quantum physics is a branch of science that studies how tiny particles, like atoms and subatomic particles, behave. These particles are so small that they don’t always follow the same rules as the things we can see and touch every day.
For example, sometimes they can be in two places at the same time, or they can be friends with each other even if they are far apart. This might sound strange, but it’s what scientists have learned from studying these tiny particles. Quantum physics helps us understand how the world works at a very small scale, and it can also help us make new technologies, like computers that are much faster than the ones we have today.
20. AP-style editing
Blogs, journals, and books follow AP Style. I asked ChatGPT to "edit using AP Style" and it did a great job.
And then... "Write a catchy headline for a blog post about 16 ChatGPT uses"
Here are some possible blog post titles for 20 creative ChatGPT uses:
“20 Fun and Creative Ways to Use ChatGPT: From Games to Quizzes and More”
“The Ultimate Guide to Using ChatGPT for Entertainment and Creativity”
“20 Reasons to Use ChatGPT: How it Can Enhance Your Gaming, Storytelling, and More”
20 Entertaining Uses for ChatGPT You Never Knew Were Possible”
“Unleash Your Imagination with ChatGPT: 16 Creative and Fun Ways to Use it”
In a previous post, I said ChatGPT will change marketing careers forever. I have never made a statement like that in my life. Even in the early days of the internet, people were cautious.
This technology was just released two weeks ago, and over a million people are already using it. This is the fastest technology adoption in history.
Today's post offers inventive and entertaining ideas, but it's just the beginning. ChatGPT writes code, music, and papers.
Thomas Smith
2 years ago
ChatGPT Is Experiencing a Lightbulb Moment
Why breakthrough technologies must be accessible
ChatGPT has exploded. Over 1 million people have used the app, and coding sites like Stack Overflow have banned its answers. It's huge.
I wouldn't have called that as an AI researcher. ChatGPT uses the same GPT-3 technology that's been around for over two years.
More than impressive technology, ChatGPT 3 shows how access makes breakthroughs usable. OpenAI has finally made people realize the power of AI by packaging GPT-3 for normal users.
We think of Thomas Edison as the inventor of the lightbulb, not because he invented it, but because he popularized it.
Going forward, AI companies that make using AI easy will thrive.
Use-case importance
Most modern AI systems use massive language models. These language models are trained on 6,000+ years of human text.
GPT-3 ate 8 billion pages, almost every book, and Wikipedia. It created an AI that can write sea shanties and solve coding problems.
Nothing new. I began beta testing GPT-3 in 2020, but the system's basics date back further.
Tools like GPT-3 are hidden in many apps. Many of the AI writing assistants on this platform are just wrappers around GPT-3.
Lots of online utilitarian text, like restaurant menu summaries or city guides, is written by AI systems like GPT-3. You've probably read GPT-3 without knowing it.
Accessibility
Why is ChatGPT so popular if the technology is old?
ChatGPT makes the technology accessible. Free to use, people can sign up and text with the chatbot daily. ChatGPT isn't revolutionary. It does it in a way normal people can access and be amazed by.
Accessibility isn't easy. OpenAI's Sam Altman tweeted that opening ChatGPT to the public increased computing costs.
Each chat costs "low-digit cents" to process. OpenAI probably spends several hundred thousand dollars a day to keep ChatGPT running, with no immediate business case.
Academic researchers and others who developed GPT-3 couldn't afford it. Without resources to make technology accessible, it can't be used.
Retrospective
This dynamic is old. In the history of science, a researcher with a breakthrough idea was often overshadowed by an entrepreneur or visionary who made it accessible to the public.
We think of Thomas Edison as the inventor of the lightbulb. But really, Vasilij Petrov, Thomas Wright, and Joseph Swan invented the lightbulb. Edison made technology visible and accessible by electrifying public buildings, building power plants, and wiring.
Edison probably lost a ton of money on stunts like building a power plant to light JP Morgan's home, the NYSE, and several newspaper headquarters.
People wanted electric lights once they saw their benefits. By making the technology accessible and visible, Edison unlocked a hugely profitable market.
Similar things are happening in AI. ChatGPT shows that developing breakthrough technology in the lab or on B2B servers won't change the culture.
AI must engage people's imaginations to become mainstream. Before the tech impacts the world, people must play with it and see its revolutionary power.
As the field evolves, companies that make the technology widely available, even at great cost, will succeed.
OpenAI's compute fees are eye-watering. Revolutions are costly.

Amelia Winger-Bearskin
3 years ago
Reasons Why AI-Generated Images Remind Me of Nightmares
AI images are like funhouse mirrors.
Google's AI Blog introduced the puppy-slug in the summer of 2015.
Puppy-slug isn't a single image or character. "Puppy-slug" refers to Google's DeepDream's unsettling psychedelia. This tool uses convolutional neural networks to train models to recognize dataset entities. If researchers feed the model millions of dog pictures, the network will learn to recognize a dog.
DeepDream used neural networks to analyze and classify image data as well as generate its own images. DeepDream's early examples were created by training a convolutional network on dog images and asking it to add "dog-ness" to other images. The models analyzed images to find dog-like pixels and modified surrounding pixels to highlight them.
Puppy-slugs and other DeepDream images are ugly. Even when they don't trigger my trypophobia, they give me vertigo when my mind tries to reconcile familiar features and forms in unnatural, physically impossible arrangements. I feel like I've been poisoned by a forbidden mushroom or a noxious toad. I'm a Lovecraft character going mad from extradimensional exposure. They're gross!
Is this really how AIs see the world? This is possibly an even more unsettling topic that DeepDream raises than the blatant abjection of the images.
When these photographs originally circulated online, many friends were startled and scandalized. People imagined a computer's imagination would be literal, accurate, and boring. We didn't expect vivid hallucinations and organic-looking formations.
DeepDream's images didn't really show the machines' imaginations, at least not in the way that scared some people. DeepDream displays data visualizations. DeepDream reveals the "black box" of convolutional network training.
Some of these images look scary because the models don't "know" anything, at least not in the way we do.
These images are the result of advanced algorithms and calculators that compare pixel values. They can spot and reproduce trends from training data, but can't interpret it. If so, they'd know dogs have two eyes and one face per head. If machines can think creatively, they're keeping it quiet.
You could be forgiven for thinking otherwise, given OpenAI's Dall-impressive E's results. From a technological perspective, it's incredible.
Arthur C. Clarke once said, "Any sufficiently advanced technology is indistinguishable from magic." Dall-magic E's requires a lot of math, computer science, processing power, and research. OpenAI did a great job, and we should applaud them.
Dall-E and similar tools match words and phrases to image data to train generative models. Matching text to images requires sorting and defining the images. Untold millions of low-wage data entry workers, content creators optimizing images for SEO, and anyone who has used a Captcha to access a website make these decisions. These people could live and die without receiving credit for their work, even though the project wouldn't exist without them.
This technique produces images that are less like paintings and more like mirrors that reflect our own beliefs and ideals back at us, albeit via a very complex prism. Due to the limitations and biases that these models portray, we must exercise caution when viewing these images.
The issue was succinctly articulated by artist Mimi Onuoha in her piece "On Algorithmic Violence":
As we continue to see the rise of algorithms being used for civic, social, and cultural decision-making, it becomes that much more important that we name the reality that we are seeing. Not because it is exceptional, but because it is ubiquitous. Not because it creates new inequities, but because it has the power to cloak and amplify existing ones. Not because it is on the horizon, but because it is already here.
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Will Lockett
3 years ago
Thanks to a recent development, solar energy may prove to be the best energy source.
Perovskite solar cells will revolutionize everything.
Humanity is in a climatic Armageddon. Our widespread ecological crimes of the previous century are catching up with us, and planet-scale karma threatens everyone. We must adjust to new technologies and lifestyles to avoid this fate. Even solar power, a renewable energy source, has climate problems. A recent discovery could boost solar power's eco-friendliness and affordability. Perovskite solar cells are amazing.
Perovskite is a silicon-like semiconductor. Semiconductors are used to make computer chips, LEDs, camera sensors, and solar cells. Silicon makes sturdy and long-lasting solar cells, thus it's used in most modern solar panels.
Perovskite solar cells are far better. First, they're easy to make at room temperature, unlike silicon cells, which require long, intricate baking processes. This makes perovskite cells cheaper to make and reduces their carbon footprint. Perovskite cells are efficient. Most silicon panel solar farms are 18% efficient, meaning 18% of solar radiation energy is transformed into electricity. Perovskite cells are 25% efficient, making them 38% more efficient than silicon.
However, perovskite cells are nowhere near as durable. A normal silicon panel will lose efficiency after 20 years. The first perovskite cells were ineffective since they lasted barely minutes.
Recent research from Princeton shows that perovskite cells can endure 30 years. The cells kept their efficiency, therefore no sacrifices were made.
No electrical or chemical engineer here, thus I can't explain how they did it. But strangely, the team said longevity isn't the big deal. In the next years, perovskite panels will become longer-lasting. How do you test a panel if you only have a month or two? This breakthrough technique needs a uniform method to estimate perovskite life expectancy fast. The study's key milestone was establishing a standard procedure.
Lab-based advanced aging tests are their solution. Perovskite cells decay faster at higher temperatures, so scientists can extrapolate from that. The test heated the panel to 110 degrees and waited for its output to reduce by 20%. Their panel lasted 2,100 hours (87.5 days) before a 20% decline.
They did some math to extrapolate this data and figure out how long the panel would have lasted in different climates, and were shocked to find it would last 30 years in Princeton. This made perovskite panels as durable as silicon panels. This panel could theoretically be sold today.
This technology will soon allow these brilliant panels to be released into the wild. This technology could be commercially viable in ten, maybe five years.
Solar power will be the best once it does. Solar power is cheap and low-carbon. Perovskite is the cheapest renewable energy source if we switch to it. Solar panel manufacturing's carbon footprint will also drop.
Perovskites' impact goes beyond cost and carbon. Silicon panels require harmful mining and contain toxic elements (cadmium). Perovskite panels don't require intense mining or horrible materials, making their production and expiration more eco-friendly.
Solar power destroys habitat. Massive solar farms could reduce biodiversity and disrupt local ecology by destroying vital habitats. Perovskite cells are more efficient, so they can shrink a solar farm while maintaining energy output. This reduces land requirements, making perovskite solar power cheaper, and could reduce solar's environmental impact.
Perovskite solar power is scalable and environmentally friendly. Princeton scientists will speed up the development and rollout of this energy.
Why bother with fusion, fast reactors, SMRs, or traditional nuclear power? We're close to developing a nearly perfect environmentally friendly power source, and we have the tools and systems to do so quickly. It's also affordable, so we can adopt it quickly and let the developing world use it to grow. Even I struggle to justify spending billions on fusion when a great, cheap technology outperforms it. Perovskite's eco-credentials and cost advantages could save the world and power humanity's future.

Jari Roomer
3 years ago
10 Alternatives to Smartphone Scrolling
"Don't let technology control you; manage your phone."
"Don't become a slave to technology," said Richard Branson. "Manage your phone, don't let it manage you."
Unfortunately, most people are addicted to smartphones.
Worrying smartphone statistics:
46% of smartphone users spend 5–6 hours daily on their device.
The average adult spends 3 hours 54 minutes per day on mobile devices.
We check our phones 150–344 times per day (every 4 minutes).
During the pandemic, children's daily smartphone use doubled.
Having a list of productive, healthy, and fulfilling replacement activities is an effective way to reduce smartphone use.
The more you practice these smartphone replacements, the less time you'll waste.
Skills Development
Most people say they 'don't have time' to learn new skills or read more. Lazy justification. The issue isn't time, but time management. Distractions and low-quality entertainment waste hours every day.
The majority of time is spent in low-quality ways, according to Richard Koch, author of The 80/20 Principle.
What if you swapped daily phone scrolling for skill-building?
There are dozens of skills to learn, from high-value skills to make more money to new languages and party tricks.
Learning a new skill will last for years, if not a lifetime, compared to scrolling through your phone.
Watch Docs
Love documentaries. It's educational and relaxing. A good documentary helps you understand the world, broadens your mind, and inspires you to change.
Recent documentaries I liked include:
14 Peaks: Nothing Is Impossible
The Social Dilemma
Jim & Andy: The Great Beyond
Fantastic Fungi
Make money online
If you've ever complained about not earning enough money, put away your phone and get to work.
Instead of passively consuming mobile content, start creating it. Create something worthwhile. Freelance.
Internet makes starting a business or earning extra money easier than ever.
(Grand)parents didn't have this. Someone made them work 40+ hours. Few alternatives existed.
Today, all you need is internet and a monetizable skill. Use the internet instead of letting it distract you. Profit from it.
Bookworm
Jack Canfield, author of Chicken Soup For The Soul, said, "Everyone spends 2–3 hours a day watching TV." If you read that much, you'll be in the top 1% of your field."
Few people have more than two hours per day to read.
If you read 15 pages daily, you'd finish 27 books a year (as the average non-fiction book is about 200 pages).
Jack Canfield's quote remains relevant even though 15 pages can be read in 20–30 minutes per day. Most spend this time watching TV or on their phones.
What if you swapped 20 minutes of mindless scrolling for reading? You'd gain knowledge and skills.
Favorite books include:
The 7 Habits of Highly Effective People — Stephen R. Covey
The War of Art — Steven Pressfield
The Psychology of Money — Morgan Housel
A New Earth — Eckart Tolle
Get Organized
All that screen time could've been spent organizing. It could have been used to clean, cook, or plan your week.
If you're always 'behind,' spend 15 minutes less on your phone to get organized.
"Give me six hours to chop down a tree, and I'll spend the first four sharpening the ax," said Abraham Lincoln. Getting organized is like sharpening an ax, making each day more efficient.
Creativity
Why not be creative instead of consuming others'? Do something creative, like:
Painting
Musically
Photography\sWriting
Do-it-yourself
Construction/repair
Creative projects boost happiness, cognitive functioning, and reduce stress and anxiety. Creative pursuits induce a flow state, a powerful mental state.
This contrasts with smartphones' effects. Heavy smartphone use correlates with stress, depression, and anxiety.
Hike
People spend 90% of their time indoors, according to research. This generation is the 'Indoor Generation'
We lack an active lifestyle, fresh air, and vitamin D3 due to our indoor lifestyle (generated through direct sunlight exposure). Mental and physical health issues result.
Put away your phone and get outside. Go on nature walks. Explore your city on foot (or by bike, as we do in Amsterdam) if you live in a city. Move around! Outdoors!
You can't spend your whole life staring at screens.
Podcasting
Okay, a smartphone is needed to listen to podcasts. When you use your phone to get smarter, you're more productive than 95% of people.
Favorite podcasts:
The Pomp Podcast (about cryptocurrencies)
The Joe Rogan Experience
Kwik Brain (by Jim Kwik)
Podcasts can be enjoyed while walking, cleaning, or doing laundry. Win-win.
Journalize
I find journaling helpful for mental clarity. Writing helps organize thoughts.
Instead of reading internet opinions, comments, and discussions, look inward. Instead of Twitter or TikTok, look inward.
“It never ceases to amaze me: we all love ourselves more than other people, but care more about their opinion than our own.” — Marcus Aurelius
Give your mind free reign with pen and paper. It will highlight important thoughts, emotions, or ideas.
Never write for another person. You want unfiltered writing. So you get the best ideas.
Find your best hobbies
List your best hobbies. I guarantee 95% of people won't list smartphone scrolling.
It's often low-quality entertainment. The dopamine spike is short-lived, and it leaves us feeling emotionally 'empty'
High-quality leisure sparks happiness. They make us happy and alive. Everyone has different interests, so these activities vary.
My favorite quality hobbies are:
Nature walks (especially the mountains)
Video game party
Watching a film with my girlfriend
Gym weightlifting
Complexity learning (such as the blockchain and the universe)
This brings me joy. They make me feel more fulfilled and 'rich' than social media scrolling.
Make a list of your best hobbies to refer to when you're spending too much time on your phone.

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