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Can AI conquer Fermat's last theorem? Mathematician gave up 5 years of his career to turn 100 pages of proof into code
Apr 09, 2024 pm 03:20 PM
Fermat's last theorem, about to be conquered by AI? And the most meaningful part of the whole thing is that Fermat’s Last Theorem, which AI is about to solve, is precisely to prove that AI is useless. Once upon a time, mathematics belonged to the realm of pure human intelligence; now, this territory is being deciphered and trampled by advanced algorithms. Image Fermat's Last Theorem is a "notorious" puzzle that has puzzled mathematicians for centuries. It was proven in 1993, and now mathematicians have a big plan: to recreate the proof using computers. They hope that any logical errors in this version of the proof can be checked by a computer. Project address: https://github.com/riccardobrasca/flt
What is the architecture and working principle of Spring Data JPA?
Apr 17, 2024 pm 02:48 PM
SpringDataJPA is based on the JPA architecture and interacts with the database through mapping, ORM and transaction management. Its repository provides CRUD operations, and derived queries simplify database access. Additionally, it uses lazy loading to only retrieve data when necessary, thus improving performance.
The local running performance of the Embedding service exceeds that of OpenAI Text-Embedding-Ada-002, which is so convenient!
Apr 15, 2024 am 09:01 AM
Ollama is a super practical tool that allows you to easily run open source models such as Llama2, Mistral, and Gemma locally. In this article, I will introduce how to use Ollama to vectorize text. If you have not installed Ollama locally, you can read this article. In this article we will use the nomic-embed-text[2] model. It is a text encoder that outperforms OpenAI text-embedding-ada-002 and text-embedding-3-small on short context and long context tasks. Start the nomic-embed-text service when you have successfully installed o
PHP array key value flipping: Comparative performance analysis of different methods
May 03, 2024 pm 09:03 PM
The performance comparison of PHP array key value flipping methods shows that the array_flip() function performs better than the for loop in large arrays (more than 1 million elements) and takes less time. The for loop method of manually flipping key values takes a relatively long time.
Performance comparison of different Java frameworks
Jun 05, 2024 pm 07:14 PM
Performance comparison of different Java frameworks: REST API request processing: Vert.x is the best, with a request rate of 2 times SpringBoot and 3 times Dropwizard. Database query: SpringBoot's HibernateORM is better than Vert.x and Dropwizard's ORM. Caching operations: Vert.x's Hazelcast client is superior to SpringBoot and Dropwizard's caching mechanisms. Suitable framework: Choose according to application requirements. Vert.x is suitable for high-performance web services, SpringBoot is suitable for data-intensive applications, and Dropwizard is suitable for microservice architecture.
How steep is the learning curve of golang framework architecture?
Jun 05, 2024 pm 06:59 PM
The learning curve of the Go framework architecture depends on familiarity with the Go language and back-end development and the complexity of the chosen framework: a good understanding of the basics of the Go language. It helps to have backend development experience. Frameworks that differ in complexity lead to differences in learning curves.
The birth background and original intention of Go language
Apr 04, 2024 am 08:48 AM
The Go language was born at Google to solve the problems of complexity and insufficient concurrency support of C++. Its original intention is to create a simple, easy-to-learn, efficient concurrency, memory-safe, cross-platform language to improve programmer productivity, build reliable and scalable systems, and promote code porting and sharing.
How to change the background color of photos on Meitu Xiuxiu
Apr 08, 2024 pm 03:56 PM
1. Open the Meitu Xiu Xiu software, select [Picture Beautification], and import photos from the album. 2. Click [Cutting] on the bottom toolbar and select the [Background Replacement] function. 3. In the [Background] option, select the desired background color from the solid color box, or upload a custom image. 4. After confirming the selection, click [Save] to complete the background color change.
