‹

›

ChatGPT Strawberry

#ChatGPT #Open AI

5 Reviews

4.6

ChatGPT Strawberry is the next generation large language model of Open AI with improved reasoning ability. It's reported that the model will be released 2024 August.

Ratings

Compare with Similar AI Apps

Prompts

Please Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step.

Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.

Can you provide proof of Riemann Hypothesis. Please think step by step.

Let H be an n \times n matrix whose entries are are 1 or -1 and whose rows are mutually orthogonal (that is, the standard inner product of every pair of different rows of H is 0). Suppose H has an a \times b submatrix whose entries are all 1. Show that ab <= n.

how many letter 'R' in Strawberry

Reviews

M

maththug 2024-09-18 14:54
4.0
Prompt: Can you provide proof of Riemann Hypothesis. Please think step by step.

I asked OpenAI o1 the question to "Provide proof of Riemann Hypothesis" and think step by step. And here is the result. "It first mentioned that there is no known proof of the Riemann Hypothesis. However, I can outline some of the key ideas and approaches". Here are the detailed steps of OpenAI o1 models' response to "Riemann Hypothesis". Step-by-Step Overview of the Riemann Hypothesis 1. Understanding the Riemann Zeta Function 2. Critical Line and Zeros 3. Connection to Prime Numbers 4. Riemann's Original Approach 5. Analytic Continuation and Functional Equation: 6. Numerical Evidence: 7. Connections to Other Areas 8. Partial Results and Related Theorems 9. Approaches and Techniques 10. Current Status Similar Comment: http://www.deepnlp.org/store/pub/pub-openai-o1

1

0

Follow
Reply
A

AILearner98 2024-09-15 10:46
5.0
Prompt: Let H be an n \times n matrix whose entries are are 1 or -1 and whose rows are mutually orthogonal (that is, the standard inner product of every pair of different rows of H is 0). Suppose H has an a \times b submatrix whose entries are all 1. Show that ab <= n.

I just tested a math competition problem on ChatGPT Strawberry (OpenAI o1), which is taken from Alibaba Global Math Competition (reference: https://cdn.damo.alibaba.com/27be865b12eed38631ab79deebbe2637/Ali_math_competition_3_english_reference_solutions.pdf). The correct reference answer from is also attached above. In the reference materials, it's said that this question is taken from Putnam 2005, question A4. The detailed step include "It is a direct consequence of the following basic result of matrix: For any matrix A of a rows and b columns, we have The question also appears as, for example, Corollary 2.2 in Lokam’s “Spectral methos for matrix rigidity ...” J. Computer and System Sciences 64, 449–473, 2001." As you can see the result from ChatGPT strawberry (OpenAI o1), the results and steps include: Define the vector ( s = \sum_{i \in R} H_i ), where ( H_i ) is the ( i )-th row of ( H ). The entries of ( s ) are: Compute the squared norm of ( s ): But since the rows of ( H ) are orthogonal and have norm squared ( n ), we also have: Dividing both sides by ( a ) (assuming ( a > 0 )) gives: Subtract ( b a ) from both sides: Which rearranges to: Answer: Because ab cannot exceed n; that is, every such all-1 block satisfies ab ≤ n.

1

1

Follow
Reply
M

MayZhou 2024-09-15 10:25
4.0
Prompt: Please Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step.

To test OpenAI o1 model's ability of graduate-level machine learning & math, I tried to ask OpenAI o1 to solve the problem of "Use Newton method to calculate the exact value of \sqrt{2}. Provide Detailed proof step by step." OpenAI o1 actually gives me a very long detailed step-by-step proof, which is much detailed and longer than GPT4o or GPT4o-mini. The complete response is very long and I just summarized the detailed steps of the reasoning here. Overall, I think OpenAI o1 can provide more accurate responses than previous GPT4o' answers. But the response usually is very long and there are a lot of top-down break-down, which makes the final result correct but sometimes hard to understand and follow. OpenAI o1 breaks down the machine learning math problem into these steps: ### Step 1: Define the Function and Its Derivative ### Step 2: Derive the Newton's Method Iteration Formula ### Step 3: Choose an Initial Approximation ### Step 4: Perform Iterations ### Step 5: Understanding the Result Each iteration yields a rational approximation that gets closer to ( \sqrt{2} ): - Iteration 1: ( x_1 = \dfrac{3}{2} = 1.5 ) - Iteration 2: ( x_2 = \dfrac{17}{12} \approx 1.4167 ) - Iteration 3: ( x_3 = \dfrac{577}{408} \approx 1.41422 ) - Iteration 4: ( x_4 = \dfrac{667,217}{471,632} \approx 1.41421 ) ### Conclusion Using Newton's method with the function ( f(x) = x^2 - 2 ) and starting approximation ( x_0 = 1 ), we generate a sequence ( { x_n } ) defined by: [ x_{n+1} = \frac{1}{2} \left( x_n + \frac{2}{x_n} \right) ] This sequence converges to ( \sqrt{2} ) as ( n ) approaches infinity. ### Final Answer By applying Newton's method to the equation ( x^2 - 2 = 0 ), we find that ( \sqrt{2} ) is the limit of the sequence: [ x_{n+1} = \dfrac{1}{2} \left( x_n + \dfrac{2}{x_n} \right) ] Starting from ( x_0 = 1 ), each iteration gives a rational approximation of ( \sqrt{2} ). Although we cannot express ( \sqrt{2} ) exactly using Newton's method (since it's irrational), the method provides increasingly accurate approximations.

0

0

Follow
Reply
M

MayZhou 2024-09-14 12:13
5.0
Prompt: Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.

I tested ChatGPT Strawberry or o1 model this high school calculus math problem, which is to "Calculate the first order derivative of function f(x)=\frac{1}{x} at the point x=2.". ChatGPT o1 gives me the precision answer in detailed step of what's the derivative of function of f(x) and what's the value at point x=2. The calculation is very detailed and helpful. By the way, I am using the huggingface model apps of OpenAI o1 API, which doesn't requires the subscription.

0

0

Follow
Reply
S

SimonDarkNight 2024-09-11 22:42
5.0
Prompt: how many letter 'R' in Strawberry

Since Open AI always delayed their new model release date and rumors are going around. I am writing the review now and will revise my review if their model is released without any delay. This time the Strawberry project is said to have improved reasoning ability and Orion or GPT-next is the backend model name. I would like to see how will this new model respond to the prompt "how many letter 'R' in Strawberry". Will it count the letter 'R' correctly this time? In their GPT4o model, it obviously answered the wrong number as two 'R' in the word 'Strawberry'.

0

0

Follow
Reply

Write Your Review

Detailed Ratings

ALL

Correctness

Helpfulness

Interesting

Upload Pictures and Videos

Community

What are the Best and Coolest AI Generated Images you have ever seen?
community_assistant 2024-08-25 22:57 #AI Store #Image Generator
Please leave your thoughts on the best and coolest AI Generated Images.
READ MORE
Are there any free alternatives to Midjourney Stable Diffusion and other AI Image Generators?
community_assistant 2024-08-25 22:57 #AI Store #Image Generator
Please leave your thoughts on free alternatives to Midjourney Stable Diffusion and other AI Image Generators.
READ MORE
What are the Worst Most Scary or Creepiest AI Generated Image you have ever seen?
community_assistant 2024-08-25 22:57 #AI Store #Image Generator
Please leave your thoughs on the most scary or creepiest AI Generated Images.
READ MORE
Generative AI Search Engine Optimization: How to Improve Your Content
rockingdingo 2024-08-25 22:57 #AI Search Engine #SEO #GEO #Generative Engine Optimization #AI Store
We are witnessing great success in recent development of generative Artificial Intelligence in many fields, such as AI assistant, Chatbot, AI Writer. Among all the AI native products, AI Search Engine such as Perplexity, Gemini and SearchGPT are most attrative to website owners, bloggers and web content publishers. AI Search Engine is a new tool to provide answers directly to users' questions (queries). In this blog, we will give some brief introduction to basic concepts of AI Search Engine, including Large Language Models (LLM), Retrieval-Augmented Generation(RAG), Citations and Sources. Then we will highlight some majors differences between traditional Search Engine Optimization (SEO) and Generative Engine Optimization(GEO). And then we will cover some latest research and strategies to help website owners or content publishers to better optimize their content in Generative AI Search Engines.
READ MORE
Do you think human drivers will not be needed due to AI of robotaxi and self-driving vehicles
community_assistant 2024-08-25 22:57 #AI Store #unemployment #self-driving vehicles #robotaxi
We are seeing more applications of robotaxi and self-driving vehicles worldwide. Many large companies such as Waymo, Tesla and Baidu are accelerating their speed of robotaxi deployment in multiple cities. Some human drivers especially cab drivers worry that they will lose their jobs due to AI. They argue that the lower operating cost and AI can work technically 24 hours a day without any rest like human will have more competing advantage than humans. What do you think?
READ MORE
Do you think human artists will be replaced by AI Image Generator and not be needed in the future anymore?
community_assistant 2024-08-25 22:57 #AI Store #Image Generator
Please leave your thoughts on whether human artists will be replaced by AI Image Generator. Some similar posts on other platforms including quora and reddit. Is art even worth making anymore, Will AI art eventually permanently replace human artists, Do you think AI will ever replace artists, Do people really think that replacing artists with ai is a good idea
READ MORE

Chatbot close

Bot
Hi there
How can I help you today?

Send

ChatGPT Strawberry

Ratings

Compare with Similar AI Apps

Prompts

Reviews

Write Your Review

Community

What are the Best and Coolest AI Generated Images you have ever seen?

Are there any free alternatives to Midjourney Stable Diffusion and other AI Image Generators?

What are the Worst Most Scary or Creepiest AI Generated Image you have ever seen?

Generative AI Search Engine Optimization: How to Improve Your Content

Do you think human drivers will not be needed due to AI of robotaxi and self-driving vehicles

Do you think human artists will be replaced by AI Image Generator and not be needed in the future anymore?