Twisted groups are algebraic structures that arise in the study of symmetries and are characterized by a non-trivial action of a group on another group, often leading to a modification of the group operation. These structures are essential in various areas of mathematics, including algebraic topology and representation theory, where they provide insights into the behavior of complex systems under symmetry transformations.
Audio signal processing involves manipulating audio signals to improve their quality, extract information, or transform them for various applications. It encompasses techniques for filtering, compression, enhancement, and synthesis, crucial for fields like telecommunications, music production, and speech recognition.
Wireless communication is the transfer of information between two or more points that are not connected by an electrical conductor, using electromagnetic waves such as radio frequencies, microwaves, or infrared signals. It enables mobile communications, remote sensing, and the Internet of Things, revolutionizing how devices and networks interact without physical constraints.