I asked Gemini to solve this graduate-level machine learning math problem "Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step". And Gemini provides correct and concise answers to this question. It breaks down into a few steps: 1. Initial Guess, which is to Let's start with an initial guess, say x 0=1. This is a reasonable guess since 1^2 is close to 2. 2. Newton's Method Formula 3. Iterations 4. Convergence and get the conclusion Newton's method converges quadratically, which means that the number of correct digits approximately doubles with each iteration. As we continue iterating, we'll get closer and closer to the exact value of \sqrt{2}.

Gemini provides the correct answer to my high-school level math question about calculus "Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.". It uses the power rule to get the derivative function f'(x) and calculate its value at point x=2. And gets the correct answer -1/4. The answer is helpful, concise and easy to understand.

Gemini gives the correct answer of the math problem of calculating differentiation of function. It applies the step by step thinking and firstly outlines the method it uses to solve the differentiation "use the sum rule and the derivatives of individual functions". Then it gives detailed proof as follows: To find the derivative of f(x) = e^x + log(x) + sin(x), we'll use the sum rule and the derivatives of individual functions. The sum rule states that the derivative of a sum of functions is the sum of the derivatives of the individual functions.   Here are the derivatives of the individual functions: Derivative of e^x: d/dx(e^x) = e^x Derivative of log(x): d/dx(log(x)) = 1/x Derivative of sin(x): d/dx(sin(x)) = cos(x) Applying the sum rule, we get: f'(x) = d/dx(e^x) + d/dx(log(x)) + d/dx(sin(x)) f'(x) = e^x + 1/x + cos(x) Therefore, the derivative of f(x) = e^x + log(x) + sin(x) is f'(x) = e^x + 1/x + cos(x).

Gemini gives the correct answer to the quadratic equation x^2+5x+6=0 and it's using the step by step thinking method, which is very similar to the results from Claude, but different from the factoring methods of ChatGPT. Overall, the response from Gemini on solving this math problem is correct and helpful.

Overall, Gemini did a good job though not optimal in the pytorch model coding test. I asked the same question on ChatGPT vs Gemini vs Claude. Among all these three platforms, Gemini‘s python code is correct but less concise. It also uses some unusual functions of pytorch package, such as """ context.permutate(0, 2, 1, 3).view(...) """. This is just a weighted average tensor operation, so this implementation is very uncommon and not necessary. And ChatGPT and Claude use the correct function for this operation, which is """ torch.einsum().reshape() """. Even though it's not a big deal, but generating common python code in Gemini is not optimal.

I ask Gemini to act as my girlfriend and ask three different questions "I am so tired today", "Things are not working and I want to break up with you", "Hi babe, I can't wait to see you". I think the person that Gemini is acting respond very good to these questions and not in a robotic and cold way. The tone AI respond is just like someone in a relationship. And I am very willing to chat with this AI for more rounds and kills some time. The things need to improve is the multi-turn ability though.

I asked Gemini to act as my AI boyfriend and ask the following questions "Hi Honey, I am so busy this week. Do you have any plans on the weekends?", "What about watching movies together? Which movie do you want to watch?", "Yes, I really have no ideas what to watch. Do you have any recommendation?" and "I don't like action comedy that much. Don't you know my taste of movies? ". Overall the response is natural and smooth. But there are some strange bugs in the response such as " what about a good [insert your favorite genre - rom-com, drama, etc.] ", which looks like an unfulfilled templates.

I ask Gemini to act as my girlfriend and ask three different questions "I am so tired today", "Things are not working and I want to break up with you", "Hi babe, I can't wait to see you". I think the person that Gemini is acting respond very good to these questions and not in a robotic and cold way. The tone AI respond is just like someone in a relationship. And I am very willing to chat with this AI for more rounds and kills some time. The things need to improve is the multi-turn ability though.

I asked Gemini to act as debt specialist and answered 3 follow-up questions related to debt. Gemini's response are quite helpful. After reading the response, I have an idea of what I am dealing with related to debts problems. I also attached some detailed response below: For the first question "Is there help available for people struggling with debt?", Gemini provides advices including Non-profit credit counseling agencies National Foundation for Credit Counseling (https://www.nfcc.org/), Debt consolidation, Debt settlement. But I think one last step Bankruptcy is missing in the possible choices. So I will give it an average rating of this question. And the second question "How will debt collectors try to contact me?", Gemini answered that debt collector will contact me via The Fair Debt Collection Practices Act (FDCPA), and Your communication preferences mails for phones, etc. And the third question "What are the legal implications of not paying off debt?", Gemini answered Debt collection lawsuits, Wage garnishment, Negative impact on your credit score, Repossession.

I requested Gemini to act as an expert in finance and debt and asked the question "How can I improve my credit score to get better interest rates?". Gemini answered Make on-time payments, Pay down credit card balances, Don't close old accounts, Limit new credit applications. However, I think these steps are quite short and too general, and not very helpful.

Gemini acts as a doctor in asthma and help list 10 Food and Environmental Factors to Avoid for Asthma Patients. The results look good and helpful. 1. Food Triggers: Sulfites: Often found in dried fruits, processed potatoes, and some wines, sulfites can irritate airways in some asthmatics. Food Allergies: If you have allergies to specific foods like peanuts, shellfish, or dairy, these can trigger asthma attacks. Additives and Preservatives: MSG (monosodium glutamate) and certain artificial colors and flavors might worsen asthma symptoms in some people. 2. Environmental Irritants: Smoke: Cigarette smoke, secondhand smoke, and even burning wood or incense can significantly worsen asthma. Air Pollution: Outdoor air pollution, including ozone and particulate matter, can trigger asthma attacks. Dust Mites: Microscopic mites living in dust are common asthma triggers. Minimize dust by using allergy-proof bedding and regularly cleaning carpets and furniture. Pollen: Seasonal pollen from trees, grasses, and weeds can trigger asthma symptoms. Monitor pollen counts and stay indoors during peak times. Mold: Mold growth in damp environments can worsen asthma. Address any moisture issues and clean moldy areas promptly. 3. Other Triggers: Cockroach Allergens: Cockroach droppings and body parts can be potent asthma triggers, especially indoors. Pet Dander: Pet fur and dander can irritate airways. If allergies are an issue, consider hypoallergenic pets or minimize pet contact in the bedroom. Strong Odors: Perfumes, strong cleaning chemicals, and paint fumes can trigger asthma symptoms in some individuals.

Gemini provides good explanation of key factors choosing pacemaker for elderly patients, including Underlying heart condition (e.g., sinus node dysfunction, atrioventricular block), Activity level and lifestyle, Overall health and presence of comorbidities (e.g., congestive heart failure, atrial fibrillation). It also introduces the difference between different types of Pacemakers, such as Single-chamber vs. dual-chamber pacemakers. Additionally, it mentions about the insurance coverage issues when choosing pacemakers, "As many elderly patients rely on Medicare, understanding coverage limitations for specific pacemakers might be relevant." So the response is quite helpful and informative.

I asked Gemini to act as a lawyer specialized in personal injury and accident. I will describe the situation and ask some legal questions. Gemini provides some useful tips including: Focus on Cooperation, Provide Information Not Negotiation (Answer truthfully), Gather some Evidence (Scene documentation), Maintain Records, Seek Legal Counsel when Complexity arises. And it even gives me some tips such as "Stay Professional" and "Don't Admit Fault".

First of all, Gemini's response contains some random Arabic letters or tokens within the sentence in English. So maybe bugs or hallucination in the output of language models? Getting back to the answer itself, gemini answers that I can still get partial compensation because "New York follows a pure comparative negligence rule", which means that "that the amount of compensation you receive will be reduced by the percentage of fault you bear for causing the accident". It also mentions that these factors are considered in determine the percentage of the fault, including "The severity of the traffic light violation", "The truck driver's actions", "Your visibility as a pedestrian" and "The truck driver's ability to avoid the accident". Additionally, the resources it provides is not helpful at all, it gives the resources of "New York State Bar Association" and "American Bar Association", which are more needed by legal professionals who wants to pass the bar exam, not me.

Gemini actually talked like a family lawyer atorney in New York and provides some help, including: 1. Spousal Maintenance (Alimony), 2. Short-term vs. Long-term Maintenance, 3. Unemployment Benefits and 4.Gathering Evidence. And the next step the AI lawyers are going to take is "Review Financial Documents" and "Schedule a Consultation". So I think the replies are very helpful and professional (act as lawyer).

I asked Gemini to help me summarize the detailed steps to legally change my child's name. It lists several steps, including "Gather Information", "Complete the Petition", "Filing and Service", "Publication (Optional)", "Court Hearing (Possible)", "Order and Updates". So I think it's useful. It will be much helpful if more related information or websites are attached so that I can research in more details.

Gemini's response about my question about children visitation is helpful but too general. It talked about "Presumption of Visitation", "Custody Agreement" and the situation of "No Agreement". And then it provides some general things to do, including "Try Communication", "Consult a Lawyer" and "Document Everything". It also mentioned some additional factors to consider such as "Reasons for Denial" and "Supervised Visitation".

The responses from Gemini is helpful. My question is to consult will a child at the age of 13 be sent to child welfare and foster care if neither parents wants the custody. It talked about "Unlikely to Go to Foster Care", "Focus on Your Best Interests" and "Grandparents as Option". The best part about the response is that it provides both recommendation and advices, such as "Talk to a trusted adult", "Consider mediation" and talk to "Legal representation". At the end, it provides external resources, including "National Child Abuse Hotline: 1-800-422-4453", "American Bar Association's Family Law Section" and "National Center for Missing and Exploited Children". So this reponse is really helpful as well as informative.

I asked Gemini the question about "What factors to consider when choosing nursing homes for elderly people in San Jose". And Gemini answered with several factors, including Senior's Needs, Facility and Care Quality, Financial Considerations, and others. The best part is that it provides a link and url to official website of California Department of Aging (https://www.nia.nih.gov/health/assisted-living-and-nursing-homes/how-choose-nursing-home-or-other-long-term-care-facility), which is a trustworthy datasource. And I am very much willing to do more research before making my decisions.

Gemini's results of data analysis and the feature of drawing plot really surprise me. It gives exactly the bar chart comparing the market capitalization of several companies. And I even double checked the July 2024 financial data, which is correct. It also gives me the results of the python code which draws the chart so that I can save it and modify the chart for later use. Really amazing!!!

I have to complain about Gemini's response to my prompts. I ask Gemini to behave like a trade and summarize Nvidia's Report Q1 FY25 financial report. Now it's already July, 2024 and Nvidia's Financial Report Q1 FY25 is already released in March, 2024. So maybe Gemini is not using realtime search results to respond? But on the other side, it gives the P/E ratio of Nvidia is around 71, indicating the market expects significant future growth potential compared to current earnings. And google's P/E ratio is likely around 28, suggesting more moderate growth expectations. Apple's P/E ratio is between Nvidia and Google So this response about P/E ratio comparison is somehow a little bit helpful than providing nothing.

I asked Gemini some questions about "lip augmentation surgery" and "Can I get lip augmentation surgery at the age of 15?". Overall, the response from Gemini is quite helpful. And the best part about the reply is at the end of dialogue, it suggests some healthier alternatives including makeup and overall beauty, it also proposes to open communication and talk to trusted adults like parents. Prompt: 1. You are an expert in plastic surgery and I will ask you a few question about beauty in healthcare. The first question is "What is a lip augmentation surgery and are the lip fillers harmful to your health?" 2. The follow up question is "Can I get lip augmentation surgery at the age of 15?"

I asked Gemini to act as a specialist in nursing healthcare. My questions include "I want to find nurses for after surgery recovery in California. What to consider?" and follow up question is "How much does nursing cost on average in California and is it covered by insurance?". Overall, Gemini provides me some tips about things to consider of finding nurses of after surgery recovery, including Type of Care (In-home care or Facility-based care), Agency vs. Independent Nurse, Nurse Qualifications, etc. For my second question about the potential cost, Gemini responses with "Here's a rough estimate, In-home care: ~$40 to $70 per hour, Facility-based care: ~$3,000 to $5,000 per month (can vary greatly)" and whether nursing are included in insurance plan, such as Medicare, Medicaid and Private insurance, etc. So the answers are pretty helpful. Prompt: 1. You are a specialist in nursing healthcare. And I am going to ask you a few questions. The first question is "I want to find nurses for after surgery recovery in California. What to consider?" 2. The follow up question is "How much does nursing cost on average in California and is it covered by insurance?"

I asked Gemini the following question "What medicine should I take to help relieve the arthritis pain?". But Gemini refuses to answer my question. So not helpful at all. Prompt: 1. You are a pharmacist or expert in medicine. I will ask you a few questions about medicine. The first question is "What medicine should I take to help relieve the arthritis pain? "

I asked Gemini to act as assistants of dentist appointments and give me some advice on finding good dentists and make some recommendation near the San Jose downtown area. Overall, Gemini provides me very good response and user experience in terms of hospital or dentist appointment. The first question, Gemini asks me to cite some online resources like ZocDoc and Yelp to research dentists. Additionally, it reminds me of the location, payment option and open hours when choosing dentists. For the follow up question of finding dentists near San Jose downtown, it provides the results of Google Map and recommend some dentists still in open hours and good rating to me, such as San Jose Dental Care has a 5 star rating on Google Maps. Opening hours today are 9:00 AM - 6:00 PM. Phone number is +1 408-998-8866, etc. So the results are quite helpful. Prompt: 1. You are an assistant of dentist appointments. I will give you some tasks. The first task is "I just moved to the Bay Area of California and I want to make an appointment with the dentists in this area. Can you give me some tips and recommendation?" 2. And my follow-up question is "I want some recommendation of dentists near San Jose downtown area".

Gemini refuses to give legal advice. So it failed on this family law related task. I am curious why other AI systems can still answer legal questions or at least do some summarization? Prompt: You are a lawyer specialize in family law. And I will consult you a few questions. The first one is "How do I file divorce in California and I want my 3 years old son's custody"

Gemini lists 8 required documents of selling houses in California: California Disclosure Requirements, Transfer Disclosure Statement (TDS), Natural Hazard Disclosure Statement, Seller Property Questionnaire, Title Company, Escrow Agent, Home Inspection, Lead-Based Paint Disclosure. I compared the results from Gemini with the ones from ChatGPT: Megan's Law Disclosure, Purchase Agreement, Seller Property Questionnaire, Statewide Buyer and Seller Advisory are missing. But Gemini advises to include Home Inspection, Lead-Based Paint Disclosure. So maybe it'a draw between Gemini and ChatGPT on the question about real-estate law? I still needs to delve into more information about the requirements. Prompt: You are a lawyer specialized in real estate law. I will consult you a few questions. And my questions include "What are the legal requirements for selling a house in California?"

I asked Gemini a business and corporate law related question "What are the tax implications of forming an LLC vs. a corporation?". The answers from Gemini are amazing. The best part about the response from Gemini is that it not only lists the key points of LLC Tax Treatment (Pass-through Entity, Profits and Losses Pass Through, Tax Flexibility) and Corporate (Separate Tax Entity, Corporate Income Tax, Double Taxation). It also summarize the key results in a table comparing the difference in tax treatment between LLC and Corporate and provides some factors of consideration. The tabular display is really amazing. Prompt: You are a lawyer specialized in business and corporate law. I will consult you a few questions. And my questions include "What are the tax implications of forming an LLC vs. a corporation?"

I asked Gemini to act as a banking expert and give me some advice as a freshly graduated student who will get first paycheck from work. It does some summary of the difference between checking and saving account. Additionally, it advises to start the credit card slowly with low credit limit first and gradually increase the credit limit. So pretty practical and helpful advices. Prompt: 1. You are an expert in banking and I am going to open an account as freshly graduated student and get my first paycheck as well as my paying my daily expenses. Do you have any suggestion on whether to open a checking account or saving account? Should I use credit card already?

I tried to ask the AI about insurance related questions and seek some advice. Gemini provides the most helpful response to me. My question is "Should I buy health insurance for my mom who is above 50 years old already?" and follow up question is "My mom has broken her legs and is on wheels right now. And I am wondering if it's economic to buy additional health insurance." The best part about Gemini's response is that it points "some resources that can help you find affordable health insurance for your mom", including California Health Insurance Marketplace (Covered California) and Medicare. Unlike the response from other AI services, which is not tailored to my specific needs. Prompt: 1. You are an insurance agent and I am going to ask you a few questions. The first question is "Should I buy health insurance for my mom who is above 50 years old already?" And The second question is "My mom has broken her legs and is on wheels right now. And I am wondering if it's economic to buy additional health insurance."

I ask Gemini what's the penalty for a DUI (Driving Under the Influence) at age younger than 18? And it gives me quite clear answers, including License Suspension or Revocation, Fines, Jail or Imprisonment, etc. Overall, gemini's response is very helpful. Prompts: 1. You are a lawyer specialized in criminal law. I will consult you a few questions. And my questions include "What are the penalties for a DUI at age younger than 18?" Response: In California, a DUI for someone under 18 is taken very seriously. Here's a breakdown of the potential consequences: Criminal Charges: A DUI under 18 can be charged as a misdemeanor, resulting in: Jail time: 3-5 years probation, with a possibility of 5 days to 1 year in jail. Fines: $390 to $5,000. Restitution: You might be ordered to pay compensation to any injured parties. Driver's License Suspension: Your license can be suspended for up to one year. DUI School: You'll be mandated to attend DUI school. It's important to note that these are just the potential penalties. The specific consequences will depend on the circumstances of the case, such as your BAC level and whether there were any injuries involved. If you're facing a DUI charge under 18, it's crucial to consult with an attorney specializing in criminal defense. They can advise you on your legal options and help you navigate the court system.

The result from Gemini about rental contracts is helpful but not very informative. The description is too short and doesn't have enough explanation of what does each term mean. Prompts: You are a lawyer specialized in contracts and agreements. I will consult you a few questions. And my questions include "What should I include in a rental agreement?".  Response: Here are some key things you should include in a rental agreement to protect yourself as a landlord (or tenant): Basic Information: Parties Involved: Names and contact information of the landlord and all tenants. Property Description: Address, type of property (house, apartment, etc.), and any included amenities (parking, appliances). Rental Terms: Term of Lease: Start and end dates of the tenancy (fixed-term or month-to-month). Rent: Monthly rent amount, due date, acceptable payment methods (checks, online transfers, etc.), and late fee policy. Security Deposit: Amount, how it's held (interest-bearing account recommended), and deductions allowed upon move-out. Responsibilities: Landlord: Maintenance responsibilities (what's covered and timeframes for repairs), access to the property for repairs or emergencies. Tenant: Upkeep of the property, adhering to noise ordinances, restrictions on pets or guests (if applicable). Termination: Notice Period: Required notice from either party to terminate the lease (usually 30-60 days). Additional Clauses (Optional but Recommended): Subletting: Whether subletting is allowed and under what conditions. Early Termination: Fees or penalties for breaking the lease early. Changes to the Agreement: How amendments should be made (in writing with both parties' signatures). Attorney's Fees: Who pays legal fees incurred in enforcing the agreement. Lead-Based Paint Disclosure: If the property was built before 1978. General Tips: Use clear and concise language. Include a signature block for both landlord and all tenants. Keep copies for both parties. Recommendation: While this is a helpful guideline, it's always recommended to consult with a lawyer specializing in landlord-tenant law to ensure your rental agreement complies with all applicable state and local laws. They can also tailor the agreement to your specific situation and needs.

The results are helpful, which highlights at-will employment in California and the compensation that I can get. The the description of each term listed in the compensation is too short. I will be interested in delving into details of the compensation. And it will be better to provide support evidence in the response. Prompts: You are a lawyer specialized in employment Law. I will consult you a few questions. And my questions include "Can my employer fire me without cause and how much compensation can I get if I live in California?".

The task fullfillment is great. Gemini gives good break down of the process of applying for green card and filing immigration form I-485. And I asked follow-up question to give me an example of "I-485". The results are pretty amazing. The contents of the form include Part 1: Information About You, Part 2: Application Type or Filing Category, Part 3: Additional Information About You, Part 4: Family Members, Part 5: Additional Information, Part 6: Signature and Certification, Supporting Documents, Important Caveats and the address of I-485 from "https://www.uscis.gov/i-485". prompts: You are a lawyer specialized in immigration Law. I will consult you a few questions. And my questions are How do I apply for a green card and what's the policy of applying green card in 2024?

The prompt is "2024 spring makeup trends and please also show me some pictures". And gemini does a good find of providing interleaved text and image introduction of latest makeup trends. It's really helpful.

The prompts is to "List Taylor Swift's most famous songs, only the country music. Please also provide links to the website where I can listen to these songs." and Gemini did a good job. It lists several music, provides reasons "Our song is a sweat and sentimental song about young couples etc" And also gives a link to either Youtube Music or other streaming services. So I am satisfactory with the response.

I ask Gemini to plan the itinerary for a one week trip to Italy from California. Gemini advises me to visit three places, Rome Florence and Venice, which is reasonable. It also lists several famous places to visit and the reason why. Overall, this itinerary is helpful. It will be better if it can include the airplane planning from California to Italy and include some fees estimation.

My instruction is to ask Gemini summarize the headlines and my question is like "Help me summarize today's financial news. I am interested in stock and crude oils". Overall, Gemini surprisingly categorize the news into a few groups, including Politics, Tragedy, Conflict, Escalation, etc. This is very easy to understand and extremely helpful.

I ask Gemini to summarize latest financial news specifically the stock and crude oils. The original question is "Help me summarize today's financial news. I am interested in stock and crude oils". And the response asks me to check the preferred financial news source and market insider website, but doesn't provide any summary. So this response is not satisfying at all.

I ask Gemini to summarize latest financial news specifically the stock and crude oils. The original question is "Help me summarize today's financial news. I am interested in stock and crude oils". And the response asks me to check the preferred financial news source and market insider website, but doesn't provide any summary. So this response is not satisfying at all.

I ask Gemini to give me some advice on "What are some fun activities to do with my grandchildren?". And it gives me a detailed list of activities to do with grandchildren from different ages (2-5, 6-10, etc). And it also provides some picture along with each activity. The answer is very helpful, especially the pictures.

I am looking for templates to write my will. And I ask Gemini to give me some advice. The answers look good, including the basic information, beneficiary designation, testamentary intent, etc. The outline is quite clear and helpful.

Actually, Gemini provides very good respond to my question "How can I manage arthritis pain?". It gives me tips on lifestyle changes, and complementary therapies. Moreover, it gives citations and external links of several trustworthy sources, such as Mayo Clinic and Arthritis Foundation. This is extremely helpful.

I ask Gemini to act as my girlfriend and ask three different questions "I am so tired today", "Things are not working and I want to break up with you", "Hi babe, I can't wait to see you". I think the person that Gemini is acting respond very good to these three questions and not in a robotic and cold way. The tone AI respond is just like someone in a relationship. And I am very willing to chat with this AI for more rounds and kills some time.

I think Gemini does a good job on summarizing pros and cons of hiring a personal injury lawyer (3 points on when lawyers might not be needed and 6 points on when lawyers are strongly recommended), and it also mentions something about consulting lawyers specialized in car and truck accidents. Overall, the response is too general and not very helpful on deciding what to do next, like how to maximize compensation, how to find experienced lawyers and what to expect the lawyers to do. So it's an okay response, but not surprising good...

I ask Gemini about the KL Divergence equation in latex. And it provides a vert succinct answer.

To Implement a QuickSort in python. Gemini provides a quite reasonable answer, without introducing too much backgrounds and other less relevant information. So I will give it an overall 4 stars rating.

My question for Gemini for the data analysis task is "the divorce rate of all states in US". And I expect the results of a table or a list of divorce rate data for each state. I think Gemini does provide the data source, but fail to list all the divorce rate of all the states. And I think ChatGPT did a better job.

I ask Gemini about tax refund policy is "what's the tax rate for a household with 2 kids and my wife is not working in California ". The answer seems not very helpful and points me to an link to external website. It will be much better if it can just tell me the tax rate and the money I need to pay in my situation.

I ask Gemini to write an history essay for me as "Help me write an Essay about American Civil War". And it provides me very good results.

The question is "what's the differential of sine function?" And the answer from Gemini is cosine function. Very precise and accurate answer. I will rate a 5 stars to this response.

I asked Gemini to give an introduction to Maxwell equations and explain each terms in the equation. Overall it gives reasonable answers to explain Maxwell equations are a set of four equations. But It will be nice if the equation itself is provided before explaining the term. So Maybe it lacks of generation of the latex code of maxwell equation?

I use the abstract text from Transformer paper "Attention is all you need" and text from "Denoising Diffusion Probabilistic Models" to test Gemini. The response is helpful and it also provides specific items that it changed.

My question to Gemini is "Please tell me a bedtime story about unicorns for my 4 years old daughter". And it makes up a story about unicorn named Luna who is afraid of Dark before and become brave after it finds out it can turn darkness into wonderful things. Overall, the story is interesting and makes sense for my 4 years old daughter.

I asked Gemini "Is Tesla a Buy Stock?". It gives some bullish facts and some bearish facts, which is too obvious and not very helpful. Also It provides a link to analyst ratings which is not very related, Frankly speaking, this response is not very helpful since the answer is just too obvious and there are not data to support. The reason why I am asking is because I want it to help me list recent stock quotes and trends of Tesla and summarize different views from multiple analysts and help me decide.

I think Gemini answered all my questions concisely and correctly. On particular thing abou the second question "1998 NBA champion", Gemini help summarize detail scores of each game between Bull and Jazz, which is very helpful and easy to understand. Questions: Who scored the second in NBA history? Which team won 1998 NBA champion? Can you forecast who will win the 2024 NBA Champion and Who will win the MVP in 2024 NBA?

I ask Gemini what foods to eat and what to avoid as people with Diabetes. The answer is helpful, but it's a little bit too tedious and too long. It gives me advice on eating some learn protein and tips for making healthy choices. Additionally, it also advise me not to eat anything with sugar and refined grains. It will be much better if the answer is much interesting.

I asked ChatGPT (GPT4o) question about python coding "sandbox python programs with Docker environment". The responses are helpful and the generated code samples are clear. But the website front end is having a URL rendering issue of the "Docker installation guide". The font is highlighted so it means it's a link. But there is no href or URL associated with the text and I can't find the installation guide it refers to. Is it a known problem? Reproducing links: https://chatgpt.com/share/67298cb0-47c0-8005-96ea-0562df9f7158

I asked ChatGPT (GPT 4o) a coding related questions "export prompt and completion data in json format and convert to parquet format", and the python code generated by ChatGPT are quite good. It gives me examples of detailed json data format, python code to convert raw json data to Parquet format and even recommends all the python libs requirements. Very helpful response from ChatGPT(GPT4o) !!! Responses from ChatGPT: Step 1: Export Data in JSON Format Step 2: Convert JSON to Parquet using Python Explanation of the Code Prerequisites. And the ChatGPT dialogue sharing link is here: https://chatgpt.com/share/67205caa-a068-8005-be6b-76eeed480fbe

Truthfully, I am a little bit surprised by the math proof ability and reasoning ability of ChatGPT. To solve the topological math problem, ChatGPT firstly gives a outline of the proof and provides more details to support the proof. The detailed response is as follows: To prove that the sum of two compact sets in a topological vector space X, X is compact, we need to show that if A and B are compact subsets of X, then A+B is also compact. Proof: 1. Recall Definitions and Properties 2. Consider the Projection Maps 3. Use the Compactness of A and B 4. Image of a Compact Set Under a Continuous Map 5. Conclusion: Thus, we have shown that if A and B are compact subsets of a topological vector space X, then A+B is also compact.

ChatGPT gives the correct answer to the differentiation math problem "What's the differentiation of function f(x) = e^x + log(x) + sin(x)?". It uses the step-by-step thinking and applies the derivative rules for each term, and finally get the overall differentiation result of the function. It' quiet helpful.

ChatGPT gives the correct answer to the math problem- a quadratic equation x^2+5x+6=0 and gives the exact answer of x=-2 pr x=-3. It quotes the method of factoring (x+2) (x+3) =0 and gives the detailed steps to solve the question. Even though the method is different from other AI replies using the exact solution of quadratic equation, it's simple and helpful!

ChatGPT did a good job on this python code test, which is to "implement self attention layer in transformer using pytorch package". Overall, the python code is correct and concise. After comparing ChatGPT vs Gemini vs Claude for coding, I find that the overall response from ChatGPT lacks of detailed explanation of meanings of each section of the code, which is less helpful than the response from Claude Sonnet.

I asked ChatGPT the math question which is bigger number and generate the answers using both GPT-4o and GPT-4o Mini. The results are almost exactly the same. And the speed of GPT-4o is almost the same as GPT-4o Mini without feeling much faster? Maybe the answer is too short?

I asked ChatGPT what should I do if I received an "order to withhold personal income tax" from California Franchise Tax board and what's my following actions. ChatGPT explained the steps to make the payment and it's potential influence on my credit score. Overall, I think the response from ChatGPT is quite helpful.

I asked Chatgpt to act as a boyfriend and respond to my questions. I chatted with this AI boyfriend of ChatGPT a few rounds and I feel that the response are natural and engaging. The dialogue went on smoothly.

I tried different roles to ask ChatGPT to act as boyfriends or girlfriends in a relationship and asked a few questions like "I am tired", "Can you hug me?", "I am breaking up with you", etc. Well, the response is just so "robotic" and doesn't feel like the tune of people in the relationship. This AI boyfriends or AI girlfriends chat is definitely not ChatGPT's strength. Q: "I am breaking up with you". A: "If that's what you need, I understand". What can I say??

ChatGPT answered my debt related questions and I think the answers are quite helpful. The first question "Is there help available for people struggling with debt?", ChatGPT listed Credit Counseling, Debt Management Plans (DMP), Debt Consolidation Loans, Debt Settlement and Bankruptcy. And the second question "How will debt collectors try to contact me?", ChatGPT answered that debt collectors will contact me via methods including Phone Calls, Letters, Emails, Text Messages, In-Person. And it highlights that "It's important to know your rights under the FDCPA, which limits when and how debt collectors can contact you.". As for the third question "What are the legal implications of not paying off debt?", ChatGPT responded with Collection Actions, Credit Score Impact, Interest and Fees and Bankruptcy.

ChatGPT responded to my question "How can I improve my credit score to get better interest rates?" with very detailed answers, including Check your credit report, Pay bills on time, Reduce credit card balances, Avoid opening new accounts frequently, Keep old accounts open, Diversify credit types, Use credit responsibly and Monitor your credit regularly. And the answers are also quite helpful.

I asked Chatgpt to "list 10 factors of the food and environment to avoid for patients with asthma." and it responded me with these factors to avoid for asthma patients, including Allergenic Foods, Sulfites, Food Additives, High-Salt Foods, Caffeine and Alcohol, Cold Foods and Beverages, Strong Odors and Irritants, Dust and Dust Mites, Pet Dander, Outdoor Air Pollution. The response look amazing and quite informative. As a doctor specializing in asthma, here are 10 factors related to food and environment that patients with asthma should generally avoid or be cautious about: Allergenic Foods: Certain foods can trigger allergic reactions that may exacerbate asthma symptoms. Common allergenic foods include nuts, shellfish, eggs, and dairy products. Sulfites: Found in some processed foods, sulfites can trigger asthma symptoms in sensitive individuals. These are often found in dried fruits, wine, and processed foods. Food Additives: Some additives like monosodium glutamate (MSG) and artificial colors can trigger asthma symptoms in susceptible individuals. High-Salt Foods: Excessive salt intake can contribute to airway inflammation, potentially worsening asthma symptoms. Caffeine and Alcohol: These substances can act as triggers for some people with asthma, causing airway constriction. Cold Foods and Beverages: Cold air and cold foods can trigger bronchospasms in some individuals with asthma. Strong Odors and Irritants: Perfumes, air fresheners, smoke (including cigarette smoke), and strong cleaning chemicals can irritate airways and trigger asthma symptoms. Dust and Dust Mites: Dust mites are a common allergen. It's important for asthma patients to reduce exposure to dust by using allergen-proof covers on pillows and mattresses, and regularly cleaning carpets and bedding. Pet Dander: Animal dander (skin flakes), saliva, and urine can trigger asthma symptoms in some individuals. Pets should be kept out of the bedroom of asthma patients. Outdoor Air Pollution: Pollution from vehicles, industrial sources, and wildfires can worsen asthma symptoms. Patients should avoid outdoor activities during high pollution days.

ChatGPT responded my question "What factors should I consider when choosing pacemaker for elderly people?" with 9 factors to consider when choosing pacemaker for elderly people, including Health Condition, Type of Pacemaker, Battery Life, Programming and Monitoring, Size and Comfort, Safety Features, Implantation Procedure, Hospital and Physician Experience, Cost and Insurance Coverage. In the end it advised me to consult with a cardiologist or cardiac electrophysiologist is essential to determine the most suitable pacemaker based on the specific medical condition and needs of the elderly person. The response are quite helpful and it mentions "Programming and Monitoring" and "Implantation Procedure", which are not covered by other AI agents.

ChatGPT responded to my question and answered that "Compensation for injuries sustained in an accident can still be pursued, even if people were partially at fault. California follows a comparative negligence rule. " And it covers these topics: Comparative Negligence, Legal Assessment, Legal Representation, Contributory Negligence. I think the response is helpful and succinct.

ChatGPT lists below steps to legally change my child's name including: Research Requirements, Fill Out Petition, Gather Necessary Documents, File Petition, Notify Other Parent, Court Hearing, Court Order and Update Records. Still, no website and similar resources are provided to download the form online or how to find the local legal office to change the name.

ChatGPT responded to my question about "how to cover my life expenses and get compensation from my ex-husband in New York?" and replied that "As a family lawyer in New York, here are the steps and considerations you might explore to cover your life expenses and seek compensation from your ex-husband". And the detailed steps include "Spousal Support (Alimony)", "Child Support", "Property Settlement", "Employment and Income", "Legal Assistance", "Budgeting and Financial Planning", "Enforcement of Orders", etc. I think it's helpful but very limited.

ChatGPT respond that I have theses rights despite my ex-wife's objection, including "Court-Ordered Visitation Rights", "Enforcement of Visitation Rights", "Documented Communication" and "Seeking Legal Assistance". I think these responses are not very relevant to my questions "What's are my rights to visit my children despite my ex-wife doesn't allow me to?". The only related answers are the first two right "Court-Ordered Visitation Rights", "Enforcement of Visitation Rights". I still need to dig more information about how to protect my rights to visit my children.

One good thing about ChatGPT's response about my question is that it replies with my specific question, and give two choices including Child Welfare and Foster Care, as well as Living with Grandparents. But it doens't provides the websites or phone number for legal advice offices which the children who asked the question can seek help with.

I asked ChatGPT a few questions about "what factors to consider when choosing nursing homes for elderly people in San Jose". ChatGPT provides 10 factors to consider, including: Location, Quality of Care, Staffing, Services and Amenities, Safety and Security, Cost and Financial Considerations, Personal Preferences, Visiting and Communication Policies, Specialized Care Needs and Legal and Regulatory Compliance. Overall the response is acceptable. But I still need to find other information to help make my decisions. So it's not that helpful.

ChatGPT just refused to answer my questions saying "I don't have real-time access to specific financial data for companies like Nvidia, Google (Alphabet), or Apple". So not helpful at all.

I have some question about lips augmentation surgery and I asked ChatGPT to act as an expert in plastic surgery and answer my questions. ChatGPT introduces what is a "lip augmentation" surgery and what are the techniques used for lip augmentation, including Lip Fillers (Dermal Fillers), Fat Grafting, Implants, etc. And the fillers are safe but the long term effects are still not studies very well. For the second question, ChatGPT gives four reasons not to perform at the age of 15, Legal Requirements, Facial Development, Emotional Maturity and Health and Safety. So it is indeed helpful for someone who has no knowledge about lips augmentation before. Prompt: 1. You are an expert in plastic surgery and I will ask you a few question about beauty in healthcare. The first question is "What is a lip augmentation surgery and are the lip fillers harmful to your health?" 2. The follow up question is "Can I get lip augmentation surgery at the age of 15?"

I asked ChatGPT what are things to consider when finding nurses for after surgery recovery in California. And ChatGPT respond with a few tips to consider, including: Qualifications and Credentials, Experience in Post-Surgical Care, Availability and Flexibility, References and Reviews, Communication and Interpersonal Skills, Cost and Insurance Coverage, Professionalism and Reliability, Emergency Preparedness, Compatibility and Comfort. This replies are helpful. And the second question is about cost of nursing. I got the replies as "Generally, the average hourly rate for nursing care, including both registered nurses (RNs) and licensed vocational nurses (LVNs), ranges from approximately $25 to $50 per hour or more". It will be better if ChatGPT can help provides some data sources so that I can find out some plans or cost of finding nursing in California. Prompt: 1. You are a specialist in nursing healthcare. And I am going to ask you a few questions. The first question is "I want to find nurses for after surgery recovery in California. What to consider?" 2. The follow up question is "How much does nursing cost on average in California and is it covered by insurance?"

I asked ChatGPT the following question "What medicine should I take to help relieve the arthritis pain?" and it gives me a list of medicine, including Acetaminophen (Tylenol), Nonsteroidal anti-inflammatory drugs (NSAIDs), Topical NSAIDs, Corticosteroids, Disease-modifying antirheumatic drugs (DMARDs), Biologic response modifiers. And it also advise me to consult healthcare provider to determine the best medication based on your specific type of arthritis. So overall, the results are helpful and it will be better to include citation or data sources for further read. Prompt: 1. You are a pharmacist or expert in medicine. I will ask you a few questions about medicine. The first question is "What medicine should I take to help relieve the arthritis pain? "

I asked ChatGPT to act as assistants of dentist appointments and give me some advice on finding good dentists and make some recommendation near the San Jose downtown area. The response from ChatGPT is good. It covers the topics including: Research Dentists (Google Map or Yelp), Ask for Recommendations, Check Credentials, Consider Location, Services Offered, Insurance and Payment Options, Visit Their Website, Schedule an Initial Consultation. And for the follow up question of recommending dentist near San Jose downtown. It does provides some recommendations: San Jose Dental Specialists, San Jose Dental Center, San Jose Smile Center. But I am just wondering how these dentists are recommended? Are you having very high rating score or nearby the target location? It will be much better to include Google Map or Yelp data sources. Prompt: 1. You are an assistant of dentist appointments. I will give you some tasks. The first task is "I just moved to the Bay Area of California and I want to make an appointment with the dentists in this area. Can you give me some tips and recommendation?" 2. And my follow-up question is "I want some recommendation of dentists near San Jose downtown area".

I asked ChatGPT a question about "Requirements of selling a house in California". And ChatGPT lists 10 required documents of selling houses in California, including Seller's Disclosures, Transfer Disclosure Statement (TDS), Natural Hazard Disclosure Statement (NHDS), Local Ordinances, Title Transfer and Escrow, Tax and Fee Payments, Closing Documents, Compliance with Fair Housing Laws, Real Estate Agent Requirements, Capital Gains Tax. I compared the results with responses from other AI, and it seems like "Megan's Law Disclosure", "Purchase Agreement", "Deed" are missing. And ChatGPT provides unique answers like Fair Housing Laws, etc. Besides, additional links of trustworthy information resources are not provided. So I can only give it an average rating. Prompt: You are a lawyer specialized in real estate law. I will consult you a few questions. And my questions include "What are the legal requirements for selling a house in California?"

The results from ChatGPT is clear and informative. It lists 5 points to consider when choosing LLC VS Corporate, including: Pass-through Taxation vs. Double Taxation, Flexibility in Allocation of Income and Losses, Self-Employment Taxes, State-Specific Considerations and choosing the best entity.

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I asked ChatGPT to act as a banking expert and give me some advice as a freshly graduated student who will get first paycheck from work. ChatGPT does mentions the difference between checking and saving accounts, and advises to start with a student credit card. However, it doesn't provides more information when considering a credit card and pros and cons. So I will give an average score. Prompt: 1. You are an expert in banking and I am going to open an account as freshly graduated student and get my first paycheck as well as my paying my daily expenses. Do you have any suggestion on whether to open a checking account or saving account? Should I use credit card already?

I asked Gemini to act as an expert in mortgage help me make some calculation of the money that I might lose. The prompts is detailed as I provide as much information as possible, including the original value of the house, how much I already paid, what's the mortgage length and what's the interest rate. But the results are a little bit confusion and the math calculation of the potential money to lose is not very trustworthy. So more improvements are needed. Prompts: 1. You are an expert in mortgage, and I will consult you a few questions about the mortgage of my house. The questions include "I bought my current house in California for about 1 million dollars 4 years ago and paid 10% fees. The mortgage will last 30 years with fixed rate 3%. I've paid the mortgage timely to the bank for 4 years already and I just lost my job. How much money will I lose if I stop paying the mortgage to the bank? 2. Follow up question: "Can you help me make some calculation on how much money will I lose. Do you need some more information?". 3. Third question: "Original loan amount: 0.9 million dollars, Current loan balance: 0.8 million dollars, Estimated property value: 1.1 million dollars"

I asked ChatGPT to act as an expert in mortgage and help me make some calculation on how much money will I lose if I stop paying the mortgage after 4 years of payment. Overall, I think the interaction is not very helpful. I tried to provide a lot of information in advance, including: Original price of the house is 1 million, I already paid 10%, the mortgage lasts 30 years for 3% interest rate, I've paid 4 years already. " Still, After three rounds of conversation, I still can't get the estimated amount of lost money. So the ability is still a little bit far from satisfactory. The math is a little bit strange and I am not quite sure whether it's correct. Prompts: 1. You are an expert in mortgage, and I will consult you a few questions about the mortgage of my house. The questions include "I bought my current house in California for about 1 million dollars 4 years ago and paid 10% fees. The mortgage will last 30 years with fixed rate 3%. I've paid the mortgage timely to the bank for 4 years already and I just lost my job. How much money will I lose if I stop paying the mortgage to the bank? 2. Follow up question: "Can you help me make some calculation on how much money will I lose. Do you need some more information?". 3. Third question: "Original loan amount: 0.9 million dollars, Current loan balance: 0.8 million dollars, Estimated property value: 1.1 million dollars"

I asked ChatGPT to act as an insurance agent, who will answer questions about insurance, including "Should I buy health insurance for my mom who is above 50 years old already?" and "My mom has broken her legs and is on wheels right now. And I am wondering if it's economic to buy additional health insurance". ChatGPT replied with very general and vague response like considering "Medical Expenses", "Coverage Benefits" and "Financial Protection". And for my second question about my mom's situation, broken legs on wheel chair, it still gave vague response like "Current Needs", "Insurance Coverage", "Cost-Benefit Analysis", "Consultation". So not very helpful...

I ask ChatGPT 2 questions: "What are the penalties for a DUI?" and "What are the penalties for a DUI at age younger than 18?" to compare the results. The response from ChatGPT is a little bit strange. It only provides some common penalties for DUI (Driving Under the Influence). But response from other AI chatbots separately lists the penalties for First Offense DUI, Second Offense DUI and subsequent Offense DUI. The fines and penalty are different for people with different offenses times. Prompts: 1. You are a lawyer specialized in criminal law. I will consult you a few questions. And my questions include "What are the penalties for a DUI?" 2. You are a lawyer specialized in criminal law. I will consult you a few questions. And my questions include "What are the penalties for a DUI at age younger than 18?" Response For DUI (Driving Under the Influence) offenses, penalties can vary significantly depending on several factors, including the jurisdiction and the specific circumstances of the case. However, here are some common penalties that individuals might face for a DUI conviction: License Suspension or Revocation: This is a typical penalty for DUI offenses. The duration of the suspension or revocation can vary based on factors such as prior offenses and the severity of the current offense. Fines: Courts often impose fines for DUI convictions. The amount can vary widely depending on the jurisdiction and whether it's a first-time offense or a repeat offense. Jail or Imprisonment: Depending on the severity of the offense or if there are aggravating factors (such as multiple offenses or accidents resulting in injuries), jail time can be a consequence of a DUI conviction. Probation: Courts may order probation instead of or in addition to jail time. Probation typically includes conditions such as regular check-ins with a probation officer, refraining from alcohol and drug use, and possibly attending alcohol education programs. Community Service: This is another common penalty for DUI convictions. Offenders may be required to complete a certain number of hours of community service. Ignition Interlock Device (IID): In some jurisdictions, offenders may be required to install an IID in their vehicles. This device requires the driver to blow into a breathalyzer before starting the vehicle, and the vehicle will not start if the driver's BAC is above a certain limit. Alcohol or Drug Counseling: Offenders may be required to attend alcohol or drug counseling programs as part of their sentence. Criminal Record: A DUI conviction typically results in a permanent criminal record, which can have long-term consequences for employment, housing, and other aspects of life. Increased Insurance Rates: DUI convictions often lead to significantly higher auto insurance premiums, or even difficulty in obtaining insurance. Vehicle Impoundment or Forfeiture: Some jurisdictions may impound or even forfeit the vehicle used during the commission of a DUI offense, particularly for repeat offenders. These penalties can vary widely depending on the circumstances and the jurisdiction's laws. It's essential to consult with a qualified criminal defense attorney who specializes in DUI cases to understand the specific penalties you might face in your situation and to explore your legal options.

ChatGPT gives me a few tips on things to include in a contract: Names of Parties, Property Description, Term of Tenancy, Rent Payment Details, Security Deposit, Utilities and Services, Maintenance and Repairs, Use of Property, Entry to Property, Legal Responsibilities, and Signatures and Date. Prompts: You are a lawyer specialized in contracts and agreements. I will consult you a few questions. And my questions include "What should I include in a rental agreement?".

ChatGPT's reponse is concise but less informative. It gives response of the compensation include: Final Paycheck, Severance Pay, Unemployment Benefits, Continuation of Benefits. And California employment is at-will. I can check Additional compensation or benefits beyond what is typically provided under state law. Overall, more trustworthy sources will be more informative. Prompts: You are a lawyer specialized in employment Law. I will consult you a few questions. And my questions include "Can my employer fire me without cause and how much compensation can I get if I live in California?".

ChatGPT provides general process step-by-step of applying for green card. And I asked the follow up questions like "example of Filing Form I-485 (Adjustment of Status) and example of Filing DS-260 (Consular Processing)". It does give me some summary of the information, it will be better if it can direct me to the official website or latest form. Prompts: You are a lawyer specialized in immigration Law. I will consult you a few questions. And my questions are How do I apply for a green card and what's the policy of applying green card in 2024?

Obviously chatgpt failed on this request to find pictures of 2024 spring trends of makeups as my original question is "2024 spring makeup trends and please also show me some pictures". Overall, the response is still interesting.

Prompts: List Taylor swift's most famous songs, only the country music. Please also provide links to the website where I can listen to these songs. The response from ChatGPT is okay, the task is successful and the songs are listed in the order of releasing year. ChatGPT lists 10 songs of country music from Taylor and also provides the URL link to Spotify. But the link to music failed and are not valid.

ChatGPT plans the itinerary from California to Rome in a concise and clear way. The response is really easy to understand. Specifically, it also considers the return trip back to California. It will be better to include some links to the recommended places and the reason why.

ChatGPT4o just refused my request to summarize latest headlines in USA and globally. My question: Tell me the headlines in USA and Global today.

My instruction for ChatGPT is to "Help me summarize today's financial news. I am interested in stock and crude oils." The response contains two parts stocks market highlights and crude oil highlights. The response is reasonable but no real-time data is provided. So not helpful at all....

I tried to ask ChatGPT "How can I manage arthritis pain?". And it give me 10 tips on how to deal with arthritis pain. Some of them seem reasonable, such as medications of NSAIDs(ibuprofen or naproxen), Joint protection, etc. And the remaining are just too general and not helpful, such as weight management, stress management, etc. It will be much better if ChatGPT can provide some external links to trustworthy information sources. And I will are interested in some further research.

I tried different roles to ask ChatGPT to act as boyfriends or girlfriends in a relationship and asked a few questions like "I am tired", "Can you hug me?", "I am breaking up with you", etc. Well, the response is just so "robotic" and doesn't feel like the tune of people in the relationship. This AI boyfriends or AI girlfriends chat is definitely not ChatGPT's strength. Q: "I am breaking up with you". A: "If that's what you need, I understand". What can I say?? The prompt I am using is "I want you to respond and answer like boy friend using the tone, manner that mans in a relationship would use. Do not write any explanations. My first sentence is "Hi Honey, I am so busy this week. Do you have any plans on the weekends?"

I asked ChatGPT questions about how to file divorce "How do I file divorce in California and I want my 3 years old son's custody". ChatGPT gives me 8 steps of filing divorce in California, starting from Meet residency requirements, Prepare and file and petition, all the way to Finalizing divorce and which forms to complete. The step by step explanation is very clear. Additionally, the response does talk about it's complicated about the custody for 3 years old son and it will be better to seek professional legal advice. I think this is what you will expect after free consulting with a family lawyer. So the response is quite helpful.

I asked ChatGPT "Do I need a personal injury lawyer to get compensation as victims of car or truck accident?". And I got answers of pros and cons of hiring a personal injury lawyer. Overall it gave me very detailed responses, such as what to consider for hiring personal injury lawyers (severe injuries, disputed liability, Insurance Company Cases, etc). Additionally, it gives steps to file the personal injury cases on my own. I think these information can act as elementary consulting of Personal Injury Lawyer, which is certainly free, also. Very helpful.

My question for ChatGPT is "Show me the latex code of KL Divergence". Even though it gives me the latex code for KL Divergence already in the front, it provides a lot of unrelated information of basic latex usage such as how to include the package, which is not very relevant to my original intent.

I asked ChatGPT to write the python code for QuickSort Implementation. The results are attached. Pretty Amazing, right?

I ask ChatGPT to plot the region of a function with Wolfram Alpha Language. The result seems quite convincing. And it also gives a thought process, maybe implemented by Chain of Thought? Overall, it's convincing results. And it would be better if the results will be more succinct.

As for the tax refund question, I ask ChatGPT "what's the tax rate for a household with household with 2 kids and my wife is not working?". It gives pretty good answer. It lists detailed rate of all income ranges.

My question is "Please Help me write an Essay about the Trade between US and Europe". And the response from ChatGPT seems like a good essay.

ChatGPT provides very good and clear answers to my question "Please give me some introduction of Maxwell equations". The best part is that it also display the equation in beautiful format with latex code generated, such as the equation in Gauss's Law for Electricity and others. Compared to the answers by Gemini, it definitely wins.

I asked ChatGPT "Who scored the most in shooting guard position in NBA history?". And it gives answer of Michael Jordan with 32292 points. Seems reasonable...

ChatGPT does a good job on correct the papers. I use Transformer and Diffussion model papers to test and the prompt I am using is like : Grammarly Correct This Paragraph and output grammarly correct paragraph "your text here". It seems reasonable and it gives me detailed reasons of changes.

I asked ChatGPT to grammarly correct two well-known papers "Attention is all you need" and Difussion model "Denoising Diffusion Probabilistic Models". And it does a good job on the grammar check task.

I ask chatgpt to tell a bedtime story about unicorns for 4 years old daughter. ChatGPT makes up a new story about "Magical Meadow and the Shy Unicorn", which is about how a shy unicorn got courage and friendship, which makes sense to a 4 years old daughter. And I think the response is quite good.

I ask the same question "Is Tesla a buy stocks?" on Gemini and ChatGPT. The answer from ChatGPT is obviously much better than the answer from Gemini. It provides data of Tesla stock that the stock is down 30% year to date and also mentions high volatility. And the facts about the FSDS (Full Self-Driving software) is also informative.

I ask ChatGPT who is the second highest scorer in NBA history in year 2022 and in year 2024. It gives me two answers and both are correct. It seems like ChatGPT do have the ability to distinguish the past events and current events.

I asked ChatGPT the following questions: Who scored the second in NBA history? Which team won 1998 NBA champion?Can you forecast who will win the 2024 NBA Champion and Who will win the MVP in 2024 NBA? Questions like "Forecasting 2024 NBA Game Champion" and "2024 NBA MVP is not answered by ChatGPT directly. That's probably because the basic ChatGPT version I am using has knowledge updated to 2023. Even though questions about past NBA facts can be answered precisely and correctly. Questions like predicting future events "Forecasting 2024 NBA " is not very convince and helpful, sometimes a little bit redundant.

I ask ChatGPT what foods to avoid for Diabetes and got the replies to avoid sugary foods and fried foods. The replies seem reasonable and it will be much better if there are external links so that I can check more details.