"Hong Kong physicists" typically refers to scientists and researchers based in Hong Kong who specialize in the field of physics. Hong Kong has several universities and research institutions, such as the University of Hong Kong, the Chinese University of Hong Kong, and the Hong Kong University of Science and Technology, that contribute to a vibrant physics research community. These physicists may work in various subfields including condensed matter physics, astrophysics, particle physics, quantum mechanics, and theoretical physics, among others.

Filipino physicists are scientists from the Philippines who specialize in the field of physics, studying the fundamental principles that govern the behavior of matter and energy. They contribute to various subfields such as theoretical physics, experimental physics, applied physics, and more. Filipino physicists may work in academic institutions, research organizations, or industries, and they can be involved in scientific research, teaching, and the development of new technologies.

Logarithm of a discrete groups.

NP-intermediate as of 2020 for similar reasons as integer factorization.

An important case is the discrete logarithm of the cyclic group in which the group is a cyclic group.

Yutaka Yamamoto is a mathematician known for his contributions to the field of mathematics, particularly in areas such as number theory and algebra. He has been involved in various research projects and has published papers that contribute to the advancement of mathematical knowledge. However, specific details about his work and achievements may vary, as there could be several mathematicians with similar names, and public information about individuals might not be extensively documented.

Yoshiro Mori is a Japanese mathematician known for his contributions to various fields, particularly in mathematical sciences. His work often focuses on areas such as probability theory, statistics, and mathematical analysis. Mori has contributed to the understanding of stochastic processes and has been involved in research that bridges pure mathematics and applied mathematics.

Input: a sequence of $N$ complex numbers $x_k$.

Output: another sequence of $N$ complex numbers $X_k$ such that:Intuitively, this means that we are braking up the complex signal into $N$ sinusoidal frequencies:and is the amplitude of each sine.

We use Zero-based numbering in our definitions because it just makes every formula simpler.

Motivation: similar to the Fourier transform:In particular, the discrete Fourier transform is used in signal processing after a analog-to-digital converter. Digital signal processing historically likely grew more and more over analog processing as digital processors got faster and faster as it gives more flexibility in algorithm design.

Sample software implementations:

Saudi Arabian physicists are scientists from Saudi Arabia who specialize in the field of physics. They can work in various areas such as theoretical physics, experimental physics, condensed matter physics, astrophysics, and many other sub-disciplines. The kingdom has invested significantly in education and research, leading to the development of institutions such as King Abdullah University of Science and Technology (KAUST) and King Saud University, which have contributed to advancements in various scientific fields.

Yasumasa Kanada is a renowned Japanese mathematician and computer scientist, best known for his contributions to the field of numerical analysis and the study of algorithms. He is particularly recognized for his work in the field of computation of mathematical constants, including π (pi). Over the years, Kanada has been involved in various projects that utilize high-performance computing, and he is known for setting several records for the fastest calculations of π.

The IMDb of music! They actually have a reputation system apparently. And sneaked in a vinyl marketplace as well.

The website name sounds like play on words: disc + hog, with hog in the sense "memory-hog", i.e. something that consumes all your computer's memory.

RUNCOM is a term that typically refers to a configuration file or set of procedures used in various computing environments, particularly in Unix-like systems. The name "RUNCOM" is derived from "run commands." Here are a few contexts in which RUNCOM might be used: 1. **Unix and Unix-like Systems**: In these environments, RUNCOM files are scripts run by the shell during startup. For example, files such as `.bashrc`, `.bash_profile`, or `.

Xiong Qinglai is a renowned Chinese artist known for his work in various forms of visual art, including painting and installation art. His work often explores themes of identity, culture, and the intersection between traditional Chinese art and contemporary practices. Xiong's style can be characterized by a unique blend of traditional techniques with modern concepts, making his pieces both thought-provoking and visually striking.

A Cartesian product that carries over some extra structure of the input groups.

E.g. the direct product of groups carries over group structure on both sides.

As of my last update in October 2023, there is no widely known figure or concept specifically named "Vikraman Balaji." It's possible that you may be referring to a person who has gained recognition more recently or a name that is not widely documented in available sources.

Vaṭeśvara, also known as Vateśvara or Vateshvara, is a deity in Hinduism, often associated with the sacred fig tree (Ficus religiosa), which is also referred to as the "pipal" or "bo tree." The term "Vaṭa" refers to the banyan or fig tree, and "Ishvara" means "lord" or "god.