AI is indeed changing mathematics. Recently, Tao Zhexuan, who has been paying close attention to this issue, forwarded the latest issue of "Bulletin of the American Mathematical Society" (Bulletin of the American Mathematical Society). Focusing on the topic "Will machines change mathematics?", many mathematicians expressed their opinions. The whole process was full of sparks, hardcore and exciting. The author has a strong lineup, including Fields Medal winner Akshay Venkatesh, Chinese mathematician Zheng Lejun, NYU computer scientist Ernest Davis and many other well-known scholars in the industry. The world of AI has changed dramatically. You know, many of these articles were submitted a year ago.

Aheptagonalnumberisanumberwhichcanberepresentedasaheptagon.Aheptagonisapolygonwith7sides.Aheptagonalnumbercanberepresentedasacombinationofsuccessivelayersofheptagon(7-sidedpolygon).Heptagonalnumbercanbebetterexplainedwiththebelowfigures. therefore,

It is difficult to implement collection-like functions in the Go language, which is a problem that troubles many developers. Compared with other programming languages ??such as Python or Java, the Go language does not have built-in collection types, such as set, map, etc., which brings some challenges to developers when implementing collection functions. First, let's take a look at why it is difficult to implement collection-like functionality directly in the Go language. In the Go language, the most commonly used data structures are slice and map. They can complete collection-like functions, but

Java is a powerful programming language that is widely used in various types of software development. In Java development, scenarios that often involve sorting collections are involved. However, if performance optimization is not performed for collection sorting, the execution efficiency of the program may decrease. This article will explore how to optimize the performance of Java collection sorting. 1. Choose the appropriate collection class In Java, there are many collection classes that can be used for sorting, such as ArrayList, LinkedList, TreeSet, etc. Different collection classes are in

Common concurrent collections and thread safety issues in C# In C# programming, handling concurrent operations is a very common requirement. Thread safety issues arise when multiple threads access and modify the same data at the same time. In order to solve this problem, C# provides some concurrent collection and thread safety mechanisms. This article will introduce common concurrent collections in C# and how to deal with thread safety issues, and give specific code examples. Concurrent collection 1.1ConcurrentDictionaryConcurrentDictio

Practical Guide to Where Method in Laravel Collections During the development of the Laravel framework, collections are a very useful data structure that provide rich methods to manipulate data. Among them, the Where method is a commonly used filtering method that can filter elements in a collection based on specified conditions. This article will introduce the use of the Where method in Laravel collections and demonstrate its usage through specific code examples. 1. Basic usage of Where method

Overnight, the machine learning paradigm is about to change! Today, the infrastructure that dominates the field of deep learning is the multilayer perceptron (MLP), which places activation functions on neurons. So, beyond that, are there any new routes we can take? Just today, teams from MIT, Caltech, Northeastern University and other institutions released a new neural network structure-Kolmogorov–Arnold Networks (KAN). The researchers made a simple change to the MLP by moving the learnable activation function from the nodes (neurons) to the edges (weights)! Paper address: https://arxiv.org/pdf/2404.19756 This change seems baseless at first glance

Iterator interface The Iterator interface is an interface used to traverse collections. It provides several methods, including hasNext(), next() and remove(). The hasNext() method returns a Boolean value indicating whether there is a next element in the collection. The next() method returns the next element in the collection and removes it from the collection. The remove() method removes the current element from the collection. The following code example demonstrates how to use the Iterator interface to iterate over a collection: Listnames=Arrays.asList("John","Mary","Bob");Iterator