Claude gives the correct answer to the math problem of finding the differentiation of a function. The result is very similar to the ones of Gemini for the same question "differentiation of function f(x) = e^x + log(x) + sin(x)?". And it also give the restriction of x>0 because there is a function log(x) in the original function. So it's pretty helpful.

Claude answered my math question of solving a quadratic equation. It uses the quadratic formula and set the coefficient a=1, b= 5, c= 6 to the quadratic formula and gets the exact answer. The proof and the step by step solution is exactly correct and very much helpful!

Claude does an amazing job writing code for the trap water Leetcode. It also provides explanation of the algorithm complexity.

I've tested the AI model implementation ability of multiple AI Code Generators. And for this prompt "Self Attention Layer in Transformer", Claude provides the best overall response. The pytorch implementation of Transformer model's self attention layer is correct. And the detailed explanation is really helpful. For example, it introduce the breakdown of the python code, including the "__init__" method, the forward method, the input tensor, the attention energy function, etc. And I will also attach the detailed text response here: """ Claude Sonnet 3.5 Here's a breakdown of how this code works: The __init__ method initializes the linear layers for the value, key, and query projections, as well as the final linear layer that combines the multi-head outputs. The forward method takes in the values, keys, query, and an optional mask tensor. The input tensors are reshaped to have a separate dimension for the number of heads, so that we can perform multi-head attention in parallel. The value, key, and query tensors are projected using the respective linear layers. The attention energy is computed using the einsum operation, which performs the scaled dot-product attention operation across all heads in parallel. If a mask tensor is provided, the attention energies corresponding to the masked positions are set to a very large negative value, so that they get zeroed out after applying the softmax. The attention probabilities are computed by applying softmax to the attention energies. The values are weighted by the attention probabilities using another einsum operation, and the results are concatenated across the head dimension. Finally, the concatenated tensor is projected using the final linear layer to obtain the output of the self-attention layer. You can use this SelfAttention module as a part of your Transformer architecture by applying it to the input embeddings and optionally using the output as the input to the feed-forward network. """

Claude gives me several reason of hiring personal injury lawyers. But it doesn't give more information on the reasons of not hiring a lawyer, not it's tailed to my specific question "victims of car or truck accident". So I will only gives it an average rating. Not very helpful, and I still need to search for more information after asking Claude this question.

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.

AAA Test Add Comments

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.