We study examples where conformal invariance implies rational critical indices, triviality of the underlying quantum field theory and emergence of hypergeometric functions as solutions of the field ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The output of the above function will be 5, ...

You know that moment when you realize your kid has been “getting support” for months (or years), and still can’t decode a simple word or solve a basic math problem? Yeah. That. It’s one of the most ...

clangd's autocomplete suggestion(s) for functions with explicit object parameter (i.e deducing this) do not behave as expected. Here, is a simple example. This seems to be a problem with functions ...

Cryptographic hash functions secure data by providing a unique fixed-length output for each input. These functions are essential in blockchain for data integrity and secure transactions. Understanding ...

Integrating human values after model training using Learning-based algorithms requires fine-tuning LLMs, which requires more computational power and is time-consuming. Additionally, it generates ...

To promote faster development of quantum algorithms and applications, IBM has just launched the Qiskit Functions Catalog. This new platform allows developers from IBM and other organizations to ...

ABSTRACT: In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an ...

If you want to learn how to use IF and VLOOKUP nested functions in Excel, you’ve come to the right place. The IF and VLOOKUP nested functions are two of the most powerful functions in Excel used by ...

ABSTRACT: Ordinary differential equations (ODEs) are among the most important mathe-matical tools used in producing models in the physical sciences, biosciences, chemical sciences, engineering and ...